%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW358+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n012.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 18:08:19 EDT 2024 % Result : Theorem 169.26s 169.07s % Output : CNFRefutation 169.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWW358+1 : TPTP v8.2.0. Released v5.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.13/0.32 % Computer : n012.cluster.edu % 0.13/0.32 % Model : x86_64 x86_64 % 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.32 % Memory : 8042.1875MB % 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Wed Jun 19 05:57:39 EDT 2024 % 0.13/0.33 % CPUTime : % 0.54/0.57 start to proof:theBenchmark % 168.80/168.88 %------------------------------------------- % 168.80/168.88 % File :CSE---1.7 % 168.80/168.88 % Problem :theBenchmark % 168.80/168.88 % Transform :cnf % 168.80/168.88 % Format :tptp:raw % 168.80/168.88 % Command :java -jar mcs_scs.jar %d %s % 168.80/168.88 % 168.80/168.88 % Result :Theorem 153.910000s % 168.80/168.88 % Output :CNFRefutation 153.910000s % 168.80/168.88 %------------------------------------------- % 168.87/168.89 %------------------------------------------------------------------------------ % 168.87/168.89 % File : SWW358+1 : TPTP v8.2.0. Released v5.2.0. % 168.87/168.89 % Domain : Software Verification % 168.87/168.89 % Problem : Hoare's Logic with Procedures 435414, 5000 axioms selected % 168.87/168.89 % Version : Especial. % 168.87/168.89 % English : % 168.87/168.89 % 168.87/168.89 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 168.87/168.89 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 168.87/168.89 % Source : [Bla11] % 168.87/168.89 % Names : hoare_435414.5000.p [Bla11] % 168.87/168.89 % 168.87/168.89 % Status : ContradictoryAxioms % 168.87/168.89 % Rating : 0.61 v8.2.0, 0.64 v7.5.0, 0.66 v7.4.0, 0.80 v7.3.0, 0.69 v7.1.0, 0.70 v7.0.0, 0.77 v6.4.0, 0.73 v6.3.0, 0.71 v6.2.0, 0.84 v6.1.0, 0.87 v6.0.0, 0.78 v5.5.0, 0.81 v5.4.0, 0.86 v5.3.0, 0.93 v5.2.0 % 168.87/168.89 % Syntax : Number of formulae : 5228 (1638 unt; 0 def) % 168.87/168.89 % Number of atoms : 12830 (4423 equ) % 168.87/168.89 % Maximal formula atoms : 13 ( 2 avg) % 168.87/168.89 % Number of connectives : 8609 (1007 ~; 154 |; 739 &) % 168.87/168.89 % ( 911 <=>;5798 =>; 0 <=; 0 <~>) % 168.87/168.89 % Maximal formula depth : 22 ( 6 avg) % 168.87/168.89 % Maximal term depth : 19 ( 2 avg) % 168.87/168.89 % Number of predicates : 150 ( 149 usr; 0 prp; 1-6 aty) % 168.87/168.89 % Number of functors : 377 ( 377 usr; 50 con; 0-7 aty) % 168.87/168.89 % Number of variables : 16548 (16395 !; 153 ?) % 168.87/168.89 % SPC : FOF_CAX_RFO_SEQ % 168.87/168.89 % 168.87/168.89 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 168.87/168.89 % 2011-03-01 12:31:07 % 168.87/168.89 %------------------------------------------------------------------------------ % 168.87/168.89 %----Relevant facts (4983) % 168.87/168.89 fof(fact_ext,axiom, % 168.87/168.89 ! [V_g_2,V_f_2] : % 168.87/168.89 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 168.87/168.89 => V_f_2 = V_g_2 ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_assms_I1_J,axiom, % 168.87/168.89 ! [V_G_2,V_ts_2] : % 168.87/168.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2)) % 168.87/168.89 => v_P(V_G_2,V_ts_2) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_finite__imageI,axiom, % 168.87/168.89 ! [V_h_2,T_c,V_F_2,T_b] : % 168.87/168.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 168.87/168.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_finite__surj,axiom, % 168.87/168.89 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] : % 168.87/168.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.89 => ( 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))) % 168.87/168.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_equalityI,axiom, % 168.87/168.89 ! [V_B_2,V_A_2,T_b] : % 168.87/168.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 168.87/168.89 => V_A_2 = V_B_2 ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_order__refl,axiom, % 168.87/168.89 ! [V_x,T_a] : % 168.87/168.89 ( class_Orderings_Opreorder(T_a) % 168.87/168.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_subset__image__iff,axiom, % 168.87/168.89 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 168.87/168.89 ( 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))) % 168.87/168.89 <=> ? [B_AA] : % 168.87/168.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2)) % 168.87/168.89 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_image__mono,axiom, % 168.87/168.89 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 168.87/168.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.89 => 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))) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_rev__finite__subset,axiom, % 168.87/168.89 ! [V_A_2,V_B_2,T_b] : % 168.87/168.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_finite__subset,axiom, % 168.87/168.89 ! [V_B_2,V_A_2,T_b] : % 168.87/168.89 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.89 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 168.87/168.89 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_le__fun__def,axiom, % 168.87/168.89 ! [V_g_2,V_f_2,T_b,T_c] : % 168.87/168.89 ( class_Orderings_Oord(T_c) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 168.87/168.89 <=> ! [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))) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_le__funD,axiom, % 168.87/168.89 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 168.87/168.89 ( class_Orderings_Oord(T_c) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 168.87/168.89 => 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))) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_le__funE,axiom, % 168.87/168.89 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] : % 168.87/168.89 ( class_Orderings_Oord(T_c) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 168.87/168.89 => 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))) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_card__seteq,axiom, % 168.87/168.89 ! [V_A_2,V_B_2,T_b] : % 168.87/168.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.89 => ( 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))) % 168.87/168.89 => V_A_2 = V_B_2 ) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_card__mono,axiom, % 168.87/168.89 ! [V_A_2,V_B_2,T_b] : % 168.87/168.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.89 => 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))) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_card__image__le,axiom, % 168.87/168.89 ! [V_f_2,T_c,V_A_2,T_b] : % 168.87/168.89 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.89 => 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))) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_linorder__le__cases,axiom, % 168.87/168.89 ! [V_y,V_x,T_a] : % 168.87/168.89 ( class_Orderings_Olinorder(T_a) % 168.87/168.89 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 168.87/168.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_xt1_I6_J,axiom, % 168.87/168.89 ! [V_z,V_x,V_y,T_a] : % 168.87/168.89 ( class_Orderings_Oorder(T_a) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 168.87/168.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_xt1_I5_J,axiom, % 168.87/168.89 ! [V_x,V_y,T_a] : % 168.87/168.89 ( class_Orderings_Oorder(T_a) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 168.87/168.89 => V_x = V_y ) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_order__trans,axiom, % 168.87/168.89 ! [V_z,V_y,V_x,T_a] : % 168.87/168.89 ( class_Orderings_Opreorder(T_a) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 168.87/168.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_order__antisym,axiom, % 168.87/168.89 ! [V_y,V_x,T_a] : % 168.87/168.89 ( class_Orderings_Oorder(T_a) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 168.87/168.89 => V_x = V_y ) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_xt1_I4_J,axiom, % 168.87/168.89 ! [V_c,V_a,V_b,T_a] : % 168.87/168.89 ( class_Orderings_Oorder(T_a) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 168.87/168.89 => ( V_b = V_c % 168.87/168.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_ord__le__eq__trans,axiom, % 168.87/168.89 ! [V_c,V_b,V_a,T_a] : % 168.87/168.89 ( class_Orderings_Oord(T_a) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.89 => ( V_b = V_c % 168.87/168.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_xt1_I3_J,axiom, % 168.87/168.89 ! [V_c,V_b,V_a,T_a] : % 168.87/168.89 ( class_Orderings_Oorder(T_a) % 168.87/168.89 => ( V_a = V_b % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b)) % 168.87/168.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_ord__eq__le__trans,axiom, % 168.87/168.89 ! [V_c,V_b,V_a,T_a] : % 168.87/168.89 ( class_Orderings_Oord(T_a) % 168.87/168.89 => ( V_a = V_b % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 168.87/168.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_order__antisym__conv,axiom, % 168.87/168.89 ! [V_x_2,V_y_2,T_b] : % 168.87/168.89 ( class_Orderings_Oorder(T_b) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 168.87/168.89 <=> V_x_2 = V_y_2 ) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_order__eq__refl,axiom, % 168.87/168.89 ! [V_y,V_x,T_a] : % 168.87/168.89 ( class_Orderings_Opreorder(T_a) % 168.87/168.89 => ( V_x = V_y % 168.87/168.89 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_order__eq__iff,axiom, % 168.87/168.89 ! [V_y_2,V_x_2,T_b] : % 168.87/168.89 ( class_Orderings_Oorder(T_b) % 168.87/168.89 => ( V_x_2 = V_y_2 % 168.87/168.89 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 168.87/168.89 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_linorder__linear,axiom, % 168.87/168.89 ! [V_y,V_x,T_a] : % 168.87/168.89 ( class_Orderings_Olinorder(T_a) % 168.87/168.89 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 168.87/168.89 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 168.87/168.89 % 168.87/168.89 fof(fact_finite__code,axiom, % 168.87/168.89 ! [V_A_2,T_b] : % 168.87/168.89 ( class_Finite__Set_Ofinite(T_b) % 168.87/168.90 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_finite,axiom, % 168.87/168.90 ! [V_A_2,T_b] : % 168.87/168.90 ( class_Finite__Set_Ofinite(T_b) % 168.87/168.90 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_equalityE,axiom, % 168.87/168.90 ! [T_b,V_B_2,V_A_2] : % 168.87/168.90 ( V_A_2 = V_B_2 % 168.87/168.90 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.90 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_subset__trans,axiom, % 168.87/168.90 ! [V_C_2,V_B_2,V_A_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 168.87/168.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_equalityD2,axiom, % 168.87/168.90 ! [T_b,V_B_2,V_A_2] : % 168.87/168.90 ( V_A_2 = V_B_2 % 168.87/168.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_equalityD1,axiom, % 168.87/168.90 ! [T_b,V_B_2,V_A_2] : % 168.87/168.90 ( V_A_2 = V_B_2 % 168.87/168.90 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_set__eq__subset,axiom, % 168.87/168.90 ! [T_b,V_B_2,V_A_2] : % 168.87/168.90 ( V_A_2 = V_B_2 % 168.87/168.90 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.90 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_subset__refl,axiom, % 168.87/168.90 ! [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)) ). % 168.87/168.90 % 168.87/168.90 fof(fact_image__image,axiom, % 168.87/168.90 ! [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) ). % 168.87/168.90 % 168.87/168.90 fof(fact_folding__image__simple__idem_Osubset__idem,axiom, % 168.87/168.90 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.90 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 168.87/168.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 168.87/168.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2)) % 168.87/168.90 => 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) ) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_image__ident,axiom, % 168.87/168.90 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 168.87/168.90 % 168.87/168.90 fof(fact_assms_I3_J,axiom, % 168.87/168.90 ! [V_G_2,V_c_2] : % 168.87/168.90 ( v_wt(V_c_2) % 168.87/168.90 => ( ! [B_x] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U)) % 168.87/168.90 => 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)))) ) % 168.87/168.90 => 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)))) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_finite__subset__image,axiom, % 168.87/168.90 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 168.87/168.90 => ( 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))) % 168.87/168.90 => ? [B_C] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_C),V_A_2)) % 168.87/168.90 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),B_C)) % 168.87/168.90 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_C) ) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_card__inj__on__le,axiom, % 168.87/168.90 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 168.87/168.90 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.90 => ( 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)) % 168.87/168.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 168.87/168.90 => 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))) ) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_card__bij__eq,axiom, % 168.87/168.90 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 168.87/168.90 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.90 => ( 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)) % 168.87/168.90 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 168.87/168.90 => ( 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)) % 168.87/168.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 168.87/168.90 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_predicate1D,axiom, % 168.87/168.90 ! [V_x_2,V_Q_2,V_Pa_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2)) % 168.87/168.90 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 168.87/168.90 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_rev__predicate1D,axiom, % 168.87/168.90 ! [V_Q_2,T_b,V_x_2,V_Pa_2] : % 168.87/168.90 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 168.87/168.90 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Q_2)) % 168.87/168.90 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_assms_I4_J,axiom, % 168.87/168.90 ! [V_pn_2] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),v_U)) % 168.87/168.90 => v_wt(c_Option_Othe(tc_Com_Ocom,c_Com_Obody(V_pn_2))) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_folding__image_Odistrib,axiom, % 168.87/168.90 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.90 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 168.87/168.90 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 168.87/168.90 => 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)) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_eq__card__imp__inj__on,axiom, % 168.87/168.90 ! [V_f_2,T_c,V_A_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.90 => ( 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) % 168.87/168.90 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_inj__on__iff__eq__card,axiom, % 168.87/168.90 ! [V_f_2,T_c,V_A_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.90 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.90 <=> 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) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_equalityCE,axiom, % 168.87/168.90 ! [V_c_2,T_b,V_B_2,V_A_2] : % 168.87/168.90 ( V_A_2 = V_B_2 % 168.87/168.90 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 168.87/168.90 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) % 168.87/168.90 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 168.87/168.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_emptyE,axiom, % 168.87/168.90 ! [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)))) ). % 168.87/168.90 % 168.87/168.90 fof(fact_insertE,axiom, % 168.87/168.90 ! [V_A_2,V_b_2,V_a_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 168.87/168.90 => ( V_a_2 != V_b_2 % 168.87/168.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_insertCI,axiom, % 168.87/168.90 ! [V_b_2,V_B_2,V_a_2,T_b] : % 168.87/168.90 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 168.87/168.90 => V_a_2 = V_b_2 ) % 168.87/168.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_subsetD,axiom, % 168.87/168.90 ! [V_c_2,V_B_2,V_A_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 168.87/168.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_image__eqI,axiom, % 168.87/168.90 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] : % 168.87/168.90 ( V_b_2 = hAPP(V_f_2,V_x_2) % 168.87/168.90 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 168.87/168.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_finite_OemptyI,axiom, % 168.87/168.90 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 168.87/168.90 % 168.87/168.90 fof(fact_finite_OinsertI,axiom, % 168.87/168.90 ! [V_a_2,V_A_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.90 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_empty__subsetI,axiom, % 168.87/168.90 ! [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)) ). % 168.87/168.90 % 168.87/168.90 fof(fact_inj__on__empty,axiom, % 168.87/168.90 ! [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))) ). % 168.87/168.90 % 168.87/168.90 fof(fact_assms_I2_J,axiom, % 168.87/168.90 ! [V_G_2,V_pn_2] : % 168.87/168.90 ( 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)))) % 168.87/168.90 => 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)))) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_empty__not__insert,axiom, % 168.87/168.90 ! [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) ). % 168.87/168.90 % 168.87/168.90 fof(fact_insert__not__empty,axiom, % 168.87/168.90 ! [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)) ). % 168.87/168.90 % 168.87/168.90 fof(fact_bot__fun__def,axiom, % 168.87/168.90 ! [V_x_2,T_c,T_b] : % 168.87/168.90 ( class_Orderings_Obot(T_b) % 168.87/168.90 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_insertI1,axiom, % 168.87/168.90 ! [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))) ). % 168.87/168.90 % 168.87/168.90 fof(fact_bot__apply,axiom, % 168.87/168.90 ! [V_x_2,T_c,T_b] : % 168.87/168.90 ( class_Orderings_Obot(T_b) % 168.87/168.90 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_all__not__in__conv,axiom, % 168.87/168.90 ! [V_A_2,T_b] : % 168.87/168.90 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 168.87/168.90 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_ex__in__conv,axiom, % 168.87/168.90 ! [V_A_2,T_b] : % 168.87/168.90 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 168.87/168.90 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_empty__iff,axiom, % 168.87/168.90 ! [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)))) ). % 168.87/168.90 % 168.87/168.90 fof(fact_mem__def,axiom, % 168.87/168.90 ! [V_A_2,V_x_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.90 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_singleton__iff,axiom, % 168.87/168.90 ! [V_a_2,V_b_2,T_b] : % 168.87/168.90 ( 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))))) % 168.87/168.90 <=> V_b_2 = V_a_2 ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_insert__absorb2,axiom, % 168.87/168.90 ! [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) ). % 168.87/168.90 % 168.87/168.90 fof(fact_insert__commute,axiom, % 168.87/168.90 ! [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)) ). % 168.87/168.90 % 168.87/168.90 fof(fact_insert__iff,axiom, % 168.87/168.90 ! [V_A_2,V_b_2,V_a_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2))) % 168.87/168.90 <=> ( V_a_2 = V_b_2 % 168.87/168.90 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_doubleton__eq__iff,axiom, % 168.87/168.90 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 168.87/168.90 ( 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)))) % 168.87/168.90 <=> ( ( V_a_2 = V_c_2 % 168.87/168.90 & V_b_2 = V_d_2 ) % 168.87/168.90 | ( V_a_2 = V_d_2 % 168.87/168.90 & V_b_2 = V_c_2 ) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_insert__code,axiom, % 168.87/168.90 ! [V_x_2,V_A_2,V_y_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2)) % 168.87/168.90 <=> ( V_y_2 = V_x_2 % 168.87/168.90 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_insert__ident,axiom, % 168.87/168.90 ! [V_B_2,V_A_2,V_x_2,T_b] : % 168.87/168.90 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.90 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 168.87/168.90 => ( 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) % 168.87/168.90 <=> V_A_2 = V_B_2 ) ) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_equals0D,axiom, % 168.87/168.90 ! [V_a_2,T_b,V_A_2] : % 168.87/168.90 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.90 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_insertI2,axiom, % 168.87/168.90 ! [V_b_2,V_B_2,V_a_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 168.87/168.90 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_insert__absorb,axiom, % 168.87/168.90 ! [V_A_2,V_a_2,T_b] : % 168.87/168.90 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 168.87/168.90 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ). % 168.87/168.90 % 168.87/168.90 fof(fact_eqset__imp__iff,axiom, % 168.87/168.90 ! [V_x_2,T_b,V_B_2,V_A_2] : % 168.87/168.90 ( V_A_2 = V_B_2 % 168.87/168.90 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.90 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_eqelem__imp__iff,axiom, % 168.87/168.91 ! [V_A_2,T_b,V_y_2,V_x_2] : % 168.87/168.91 ( V_x_2 = V_y_2 % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_eq__mem__trans,axiom, % 168.87/168.91 ! [V_A_2,T_b,V_b_2,V_a_2] : % 168.87/168.91 ( V_a_2 = V_b_2 % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 168.87/168.91 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_singletonE,axiom, % 168.87/168.91 ! [V_a_2,V_b_2,T_b] : % 168.87/168.91 ( 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))))) % 168.87/168.91 => V_b_2 = V_a_2 ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_singleton__inject,axiom, % 168.87/168.91 ! [V_b_2,V_a_2,T_b] : % 168.87/168.91 ( 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))) % 168.87/168.91 => V_a_2 = V_b_2 ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_inj__onD,axiom, % 168.87/168.91 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 168.87/168.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.91 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 168.87/168.91 => V_x_2 = V_y_2 ) ) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_inj__on__iff,axiom, % 168.87/168.91 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 168.87/168.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 168.87/168.91 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 168.87/168.91 <=> V_x_2 = V_y_2 ) ) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_inj__on__contraD,axiom, % 168.87/168.91 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 168.87/168.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.91 => ( V_x_2 != V_y_2 % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 168.87/168.91 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_pred__equals__eq,axiom, % 168.87/168.91 ! [V_S_2,V_R_2,T_b] : % 168.87/168.91 ( 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) % 168.87/168.91 <=> V_R_2 = V_S_2 ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_eq__mem,axiom, % 168.87/168.91 ! [V_y_2,V_x_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2))) % 168.87/168.91 <=> V_x_2 = V_y_2 ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_inj__on__def,axiom, % 168.87/168.91 ! [V_A_2,V_f_2,T_c,T_b] : % 168.87/168.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.91 <=> ! [B_x] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 168.87/168.91 => ! [B_xa] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 168.87/168.91 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa) % 168.87/168.91 => B_x = B_xa ) ) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_inj__on__id2,axiom, % 168.87/168.91 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ). % 168.87/168.91 % 168.87/168.91 fof(fact_bot__empty__eq,axiom, % 168.87/168.91 ! [V_x_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) % 168.87/168.91 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_image__constant,axiom, % 168.87/168.91 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 => 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))) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_subset__insert,axiom, % 168.87/168.91 ! [V_B_2,V_A_2,V_x_2,T_b] : % 168.87/168.91 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 => ( 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))) % 168.87/168.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_insert__subset,axiom, % 168.87/168.91 ! [V_B_2,V_A_2,V_x_2,T_b] : % 168.87/168.91 ( 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)) % 168.87/168.91 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 168.87/168.91 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_insert__image,axiom, % 168.87/168.91 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 => 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) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_subset__singletonD,axiom, % 168.87/168.91 ! [V_x_2,V_A_2,T_b] : % 168.87/168.91 ( 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))))) % 168.87/168.91 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.91 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_subset__inj__on,axiom, % 168.87/168.91 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 168.87/168.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.91 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_folding__image__simple__idem_Oidem,axiom, % 168.87/168.91 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.91 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 168.87/168.91 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_image__constant__conv,axiom, % 168.87/168.91 ! [V_c_2,T_c,T_b,V_A_2] : % 168.87/168.91 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.91 => 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)) ) % 168.87/168.91 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.91 => 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))) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom, % 168.87/168.91 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.91 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 168.87/168.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 168.87/168.91 => 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)) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_folding__image__simple__idem_Oin__idem,axiom, % 168.87/168.91 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.91 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 168.87/168.91 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 168.87/168.91 => 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) ) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_pred__subset__eq,axiom, % 168.87/168.91 ! [V_S_2,V_R_2,T_b] : % 168.87/168.91 ( 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))) % 168.87/168.91 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_finite__insert,axiom, % 168.87/168.91 ! [V_A_2,V_a_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) % 168.87/168.91 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_subset__insertI,axiom, % 168.87/168.91 ! [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))) ). % 168.87/168.91 % 168.87/168.91 fof(fact_subset__insertI2,axiom, % 168.87/168.91 ! [V_b_2,V_B_2,V_A_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.91 => 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))) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_insert__mono,axiom, % 168.87/168.91 ! [V_a_2,V_D_2,V_C_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)) % 168.87/168.91 => 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))) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_image__insert,axiom, % 168.87/168.91 ! [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)) ). % 168.87/168.91 % 168.87/168.91 fof(fact_in__mono,axiom, % 168.87/168.91 ! [V_x_2,V_B_2,V_A_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_set__rev__mp,axiom, % 168.87/168.91 ! [V_B_2,V_A_2,V_x_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.91 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_set__mp,axiom, % 168.87/168.91 ! [V_x_2,V_B_2,V_A_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.91 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_image__iff,axiom, % 168.87/168.91 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 168.87/168.91 <=> ? [B_x] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 168.87/168.91 & V_z_2 = hAPP(V_f_2,B_x) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_imageI,axiom, % 168.87/168.91 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 => 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))) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_rev__image__eqI,axiom, % 168.87/168.91 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.91 => ( V_b_2 = hAPP(V_f_2,V_x_2) % 168.87/168.91 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_finite_Oequations_I1_J,axiom, % 168.87/168.91 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ). % 168.87/168.91 % 168.87/168.91 fof(fact_subset__empty,axiom, % 168.87/168.91 ! [V_A_2,T_b] : % 168.87/168.91 ( 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)))) % 168.87/168.91 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_empty__is__image,axiom, % 168.87/168.91 ! [V_A_2,V_f_2,T_c,T_b] : % 168.87/168.91 ( 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) % 168.87/168.91 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_image__empty,axiom, % 168.87/168.91 ! [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)) ). % 168.87/168.91 % 168.87/168.91 fof(fact_image__is__empty,axiom, % 168.87/168.91 ! [V_A_2,V_f_2,T_b,T_c] : % 168.87/168.91 ( 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)) % 168.87/168.91 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_bot__least,axiom, % 168.87/168.91 ! [V_x,T_a] : % 168.87/168.91 ( class_Orderings_Obot(T_a) % 168.87/168.91 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_finite__imageD,axiom, % 168.87/168.91 ! [V_A_2,V_f_2,T_c,T_b] : % 168.87/168.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 168.87/168.91 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) % 168.87/168.91 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_card__image,axiom, % 168.87/168.91 ! [V_A_2,V_f_2,T_c,T_b] : % 168.87/168.91 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.91 => 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) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_card__insert__le,axiom, % 168.87/168.91 ! [V_x_2,V_A_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.91 => 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)))) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_finite__surj__inj,axiom, % 168.87/168.91 ! [V_f_2,V_A_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.91 => ( 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))) % 168.87/168.91 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ). % 168.87/168.91 % 168.87/168.91 fof(fact_endo__inj__surj,axiom, % 168.87/168.91 ! [V_f_2,V_A_2,T_b] : % 168.87/168.91 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.91 => ( 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)) % 168.87/168.91 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) % 168.87/168.91 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_inj__on__iff__card__le,axiom, % 168.87/168.92 ! [V_B_2,T_c,V_A_2,T_b] : % 168.87/168.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 168.87/168.92 => ( ? [B_f] : % 168.87/168.92 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 168.87/168.92 & 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)) ) % 168.87/168.92 <=> 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))) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_inj__on__iff__surj,axiom, % 168.87/168.92 ! [V_A_H_2,T_c,T_b,V_A_2] : % 168.87/168.92 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.92 => ( ? [B_f] : % 168.87/168.92 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2) % 168.87/168.92 & 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)) ) % 168.87/168.92 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_the__elem__eq,axiom, % 168.87/168.92 ! [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 ). % 168.87/168.92 % 168.87/168.92 fof(fact_folding__one_Oinsert,axiom, % 168.87/168.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 168.87/168.92 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 168.87/168.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.92 => 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)) ) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_the__inv__into__into,axiom, % 168.87/168.92 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.92 => 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)) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_folding__one__idem_Osubset__idem,axiom, % 168.87/168.92 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 168.87/168.92 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 168.87/168.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.92 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 168.87/168.92 => 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) ) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_finite__subset__induct,axiom, % 168.87/168.92 ! [V_Pa_2,V_A_2,V_F_2,T_b] : % 168.87/168.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2)) % 168.87/168.92 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 168.87/168.92 => ( ! [B_a,B_F] : % 168.87/168.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 168.87/168.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F)) % 168.87/168.92 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 168.87/168.92 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) ) % 168.87/168.92 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_folding__one__idem_Oinsert__idem,axiom, % 168.87/168.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 168.87/168.92 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 168.87/168.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.92 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.92 => 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)) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_folding__image__simple_Oinsert,axiom, % 168.87/168.92 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 168.87/168.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 168.87/168.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 168.87/168.92 => 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)) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_f__the__inv__into__f,axiom, % 168.87/168.92 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 168.87/168.92 => 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 ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_card__Diff1__le,axiom, % 168.87/168.92 ! [V_x_2,V_A_2,T_b] : % 168.87/168.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.92 => 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))) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_finite__induct,axiom, % 168.87/168.92 ! [V_Pa_2,V_F_2,T_b] : % 168.87/168.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 168.87/168.92 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 168.87/168.92 => ( ! [B_x,B_F] : % 168.87/168.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F)) % 168.87/168.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F)) % 168.87/168.92 => ( hBOOL(hAPP(V_Pa_2,B_F)) % 168.87/168.92 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) ) % 168.87/168.92 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_DiffE,axiom, % 168.87/168.92 ! [V_B_2,V_A_2,V_c_2,T_b] : % 168.87/168.92 ( 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))) % 168.87/168.92 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 168.87/168.92 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_DiffI,axiom, % 168.87/168.92 ! [V_B_2,V_A_2,V_c_2,T_b] : % 168.87/168.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 168.87/168.92 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 168.87/168.92 => 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))) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_finite__Diff,axiom, % 168.87/168.92 ! [V_B_2,V_A_2,T_b] : % 168.87/168.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.92 => 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))) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_Diff__idemp,axiom, % 168.87/168.92 ! [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) ). % 168.87/168.92 % 168.87/168.92 fof(fact_folding__one__idem_Oidem,axiom, % 168.87/168.92 ! [V_x_2,V_F_2,V_f_2,T_b] : % 168.87/168.92 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 168.87/168.92 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_DiffD2,axiom, % 168.87/168.92 ! [V_B_2,V_A_2,V_c_2,T_b] : % 168.87/168.92 ( 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))) % 168.87/168.92 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_DiffD1,axiom, % 168.87/168.92 ! [V_B_2,V_A_2,V_c_2,T_b] : % 168.87/168.92 ( 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))) % 168.87/168.92 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_Diff__iff,axiom, % 168.87/168.92 ! [V_B_2,V_A_2,V_c_2,T_b] : % 168.87/168.92 ( 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))) % 168.87/168.92 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 168.87/168.92 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_Diff__cancel,axiom, % 168.87/168.92 ! [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)) ). % 168.87/168.92 % 168.87/168.92 fof(fact_Diff__empty,axiom, % 168.87/168.92 ! [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 ). % 168.87/168.92 % 168.87/168.92 fof(fact_empty__Diff,axiom, % 168.87/168.92 ! [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)) ). % 168.87/168.92 % 168.87/168.92 fof(fact_finite__Diff2,axiom, % 168.87/168.92 ! [V_A_2,V_B_2,T_b] : % 168.87/168.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 168.87/168.92 => ( 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))) % 168.87/168.92 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_double__diff,axiom, % 168.87/168.92 ! [V_C_2,V_B_2,V_A_2,T_b] : % 168.87/168.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 168.87/168.92 => 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 ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_Diff__mono,axiom, % 168.87/168.92 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] : % 168.87/168.92 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2)) % 168.87/168.92 => 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)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_Diff__subset,axiom, % 168.87/168.92 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ). % 168.87/168.92 % 168.87/168.92 fof(fact_inj__on__diff,axiom, % 168.87/168.92 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.92 => 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)) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_folding__image__simple_Oinsert__remove,axiom, % 168.87/168.92 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 168.87/168.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 168.87/168.92 => 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)))))) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_folding__one_Oinsert__remove,axiom, % 168.87/168.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 168.87/168.92 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 168.87/168.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.92 => ( ( 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)) % 168.87/168.92 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 168.87/168.92 & ( 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)) % 168.87/168.92 => 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)))))) ) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_insert__Diff1,axiom, % 168.87/168.92 ! [V_A_2,V_B_2,V_x_2,T_b] : % 168.87/168.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 168.87/168.92 => 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) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_insert__Diff__if,axiom, % 168.87/168.92 ! [V_A_2,V_B_2,V_x_2,T_b] : % 168.87/168.92 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 168.87/168.92 => 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) ) % 168.87/168.92 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 168.87/168.92 => 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)) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_insert__Diff__single,axiom, % 168.87/168.92 ! [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) ). % 168.87/168.92 % 168.87/168.92 fof(fact_Diff__insert2,axiom, % 168.87/168.92 ! [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) ). % 168.87/168.92 % 168.87/168.92 fof(fact_Diff__insert,axiom, % 168.87/168.92 ! [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)))) ). % 168.87/168.92 % 168.87/168.92 fof(fact_finite__Diff__insert,axiom, % 168.87/168.92 ! [V_B_2,V_a_2,V_A_2,T_b] : % 168.87/168.92 ( 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)))) % 168.87/168.92 <=> 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))) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_image__diff__subset,axiom, % 168.87/168.92 ! [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)))) ). % 168.87/168.92 % 168.87/168.92 fof(fact_folding__image__simple_Oempty,axiom, % 168.87/168.92 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 168.87/168.92 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_folding__image__simple_Oremove,axiom, % 168.87/168.92 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 168.87/168.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 168.87/168.92 => 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)))))) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_folding__one_Oremove,axiom, % 168.87/168.92 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 168.87/168.92 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 168.87/168.92 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.92 => ( ( 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)) % 168.87/168.92 => hAPP(V_F_2,V_A_2) = V_x_2 ) % 168.87/168.92 & ( 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)) % 168.87/168.92 => 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)))))) ) ) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_insert__Diff,axiom, % 168.87/168.92 ! [V_A_2,V_a_2,T_b] : % 168.87/168.92 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 168.87/168.92 => 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 ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_Diff__insert__absorb,axiom, % 168.87/168.92 ! [V_A_2,V_x_2,T_b] : % 168.87/168.92 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.92 => 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 ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_inj__on__image__set__diff,axiom, % 168.87/168.92 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 168.87/168.92 => 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)) ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_the__inv__into__f__f,axiom, % 168.87/168.92 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.92 => 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 ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_the__inv__into__f__eq,axiom, % 168.87/168.92 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.92 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 168.87/168.92 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.92 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_finite__nat__set__iff__bounded__le,axiom, % 168.87/168.92 ! [V_N_2] : % 168.87/168.92 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 168.87/168.92 <=> ? [B_m] : % 168.87/168.92 ! [B_x] : % 168.87/168.92 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 168.87/168.92 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_the__inv__into__onto,axiom, % 168.87/168.92 ! [V_A_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.92 => 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 ) ). % 168.87/168.92 % 168.87/168.92 fof(fact_inj__on__the__inv__into,axiom, % 168.87/168.92 ! [V_A_2,V_f_2,T_c,T_b] : % 168.87/168.92 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.93 => 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)) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_folding__one_Osingleton,axiom, % 168.87/168.93 ! [V_x_2,V_F_2,V_f_2,T_b] : % 168.87/168.93 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 168.87/168.93 => 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 ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_diff__single__insert,axiom, % 168.87/168.93 ! [V_B_2,V_x_2,V_A_2,T_b] : % 168.87/168.93 ( 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)) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => 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))) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_subset__insert__iff,axiom, % 168.87/168.93 ! [V_B_2,V_x_2,V_A_2,T_b] : % 168.87/168.93 ( 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))) % 168.87/168.93 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => 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)) ) % 168.87/168.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_folding__one__idem_Oin__idem,axiom, % 168.87/168.93 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 168.87/168.93 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 168.87/168.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_inj__on__insert,axiom, % 168.87/168.93 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 168.87/168.93 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) % 168.87/168.93 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.93 & ~ 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))))))) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__diff__def,axiom, % 168.87/168.93 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 168.87/168.93 ( class_Groups_Ominus(T_b) % 168.87/168.93 => 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)) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_ord_OatMost__iff,axiom, % 168.87/168.93 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2))) % 168.87/168.93 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_ord_OatLeast__iff,axiom, % 168.87/168.93 ! [V_k_2,V_less__eq_2,V_i_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2))) % 168.87/168.93 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_ord_OlessThan__iff,axiom, % 168.87/168.93 ! [V_k_2,V_less_2,V_i_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2))) % 168.87/168.93 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_ord_OgreaterThan__iff,axiom, % 168.87/168.93 ! [V_k_2,V_less_2,V_i_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2))) % 168.87/168.93 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_ord_OatLeastAtMost__iff,axiom, % 168.87/168.93 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] : % 168.87/168.93 ( 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))) % 168.87/168.93 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 168.87/168.93 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_ord_OgreaterThanLessThan__iff,axiom, % 168.87/168.93 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] : % 168.87/168.93 ( 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))) % 168.87/168.93 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 168.87/168.93 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_ord_OatLeastLessThan__iff,axiom, % 168.87/168.93 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 168.87/168.93 ( 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))) % 168.87/168.93 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2)) % 168.87/168.93 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_ord_OgreaterThanAtMost__iff,axiom, % 168.87/168.93 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] : % 168.87/168.93 ( 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))) % 168.87/168.93 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2)) % 168.87/168.93 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_minus__apply,axiom, % 168.87/168.93 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] : % 168.87/168.93 ( class_Groups_Ominus(T_b) % 168.87/168.93 => 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)) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_diff__eq__diff__less__eq,axiom, % 168.87/168.93 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 168.87/168.93 ( class_Groups_Oordered__ab__group__add(T_b) % 168.87/168.93 => ( 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) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 168.87/168.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_diff__eq__diff__eq,axiom, % 168.87/168.93 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 168.87/168.93 ( class_Groups_Oab__group__add(T_b) % 168.87/168.93 => ( 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) % 168.87/168.93 => ( V_a_2 = V_b_2 % 168.87/168.93 <=> V_c_2 = V_d_2 ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_card__Diff__subset,axiom, % 168.87/168.93 ! [V_A_2,V_B_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 168.87/168.93 => 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),V_B_2)) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_diff__card__le__card__Diff,axiom, % 168.87/168.93 ! [V_A_2,V_B_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 168.87/168.93 => 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)))) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_folding__one_Oclosed,axiom, % 168.87/168.93 ! [V_A_2,V_F_2,V_f_2,T_b] : % 168.87/168.93 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 168.87/168.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.93 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.93 => ( ! [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)))))) % 168.87/168.93 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__upd__image,axiom, % 168.87/168.93 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 168.87/168.93 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => 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)))))) ) % 168.87/168.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => 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) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_card__Diff__singleton__if,axiom, % 168.87/168.93 ! [V_x_2,V_A_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.93 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),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)) ) % 168.87/168.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),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) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_card__Diff__singleton,axiom, % 168.87/168.93 ! [V_x_2,V_A_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),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)) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_card__Diff1__less,axiom, % 168.87/168.93 ! [V_x_2,V_A_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => 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))) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_card__Diff2__less,axiom, % 168.87/168.93 ! [V_y_2,V_x_2,V_A_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 168.87/168.93 => 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))) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_finite__empty__induct,axiom, % 168.87/168.93 ! [V_Pa_2,V_A_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.93 => ( hBOOL(hAPP(V_Pa_2,V_A_2)) % 168.87/168.93 => ( ! [B_a,B_A] : % 168.87/168.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A)) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) % 168.87/168.93 => ( hBOOL(hAPP(V_Pa_2,B_A)) % 168.87/168.93 => 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)))))) ) ) ) % 168.87/168.93 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_card__Suc__Diff1,axiom, % 168.87/168.93 ! [V_x_2,V_A_2,T_b] : % 168.87/168.93 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.93 => 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) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_the__elem__def,axiom, % 168.87/168.93 ! [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))))) ). % 168.87/168.93 % 168.87/168.93 fof(fact_folding__one__idem_Ohom__commute,axiom, % 168.87/168.93 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] : % 168.87/168.93 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 168.87/168.93 => ( ! [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)) % 168.87/168.93 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 168.87/168.93 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.93 => 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)) ) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__left__comm__idem__remove,axiom, % 168.87/168.93 ! [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))))) ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__upd__triv,axiom, % 168.87/168.93 ! [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 ). % 168.87/168.93 % 168.87/168.93 fof(fact_one__reorient,axiom, % 168.87/168.93 ! [V_x_2,T_b] : % 168.87/168.93 ( class_Groups_Oone(T_b) % 168.87/168.93 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2 % 168.87/168.93 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom, % 168.87/168.93 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] : % 168.87/168.93 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 168.87/168.93 => 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) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__upd__idem,axiom, % 168.87/168.93 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] : % 168.87/168.93 ( hAPP(V_f_2,V_x_2) = V_y_2 % 168.87/168.93 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__upd__other,axiom, % 168.87/168.93 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 168.87/168.93 ( V_z_2 != V_x_2 % 168.87/168.93 => 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) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__upd__twist,axiom, % 168.87/168.93 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] : % 168.87/168.93 ( V_a_2 != V_c_2 % 168.87/168.93 => 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) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__upd__apply,axiom, % 168.87/168.93 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] : % 168.87/168.93 ( ( V_z_2 = V_x_2 % 168.87/168.93 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 ) % 168.87/168.93 & ( V_z_2 != V_x_2 % 168.87/168.93 => 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) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__upd__same,axiom, % 168.87/168.93 ! [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 ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__upd__upd,axiom, % 168.87/168.93 ! [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) ). % 168.87/168.93 % 168.87/168.93 fof(fact_fun__upd__idem__iff,axiom, % 168.87/168.93 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 168.87/168.93 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2 % 168.87/168.93 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_linorder__cases,axiom, % 168.87/168.93 ! [V_y,V_x,T_a] : % 168.87/168.93 ( class_Orderings_Olinorder(T_a) % 168.87/168.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.93 => ( V_x != V_y % 168.87/168.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_order__less__asym,axiom, % 168.87/168.93 ! [V_y,V_x,T_a] : % 168.87/168.93 ( class_Orderings_Opreorder(T_a) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_xt1_I10_J,axiom, % 168.87/168.93 ! [V_z,V_x,V_y,T_a] : % 168.87/168.93 ( class_Orderings_Oorder(T_a) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 168.87/168.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_order__less__trans,axiom, % 168.87/168.93 ! [V_z,V_y,V_x,T_a] : % 168.87/168.93 ( class_Orderings_Opreorder(T_a) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 168.87/168.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_xt1_I2_J,axiom, % 168.87/168.93 ! [V_c,V_a,V_b,T_a] : % 168.87/168.93 ( class_Orderings_Oorder(T_a) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 168.87/168.93 => ( V_b = V_c % 168.87/168.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_ord__less__eq__trans,axiom, % 168.87/168.93 ! [V_c,V_b,V_a,T_a] : % 168.87/168.93 ( class_Orderings_Oord(T_a) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.93 => ( V_b = V_c % 168.87/168.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_xt1_I1_J,axiom, % 168.87/168.93 ! [V_c,V_b,V_a,T_a] : % 168.87/168.93 ( class_Orderings_Oorder(T_a) % 168.87/168.93 => ( V_a = V_b % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b)) % 168.87/168.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_ord__eq__less__trans,axiom, % 168.87/168.93 ! [V_c,V_b,V_a,T_a] : % 168.87/168.93 ( class_Orderings_Oord(T_a) % 168.87/168.93 => ( V_a = V_b % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 168.87/168.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_xt1_I9_J,axiom, % 168.87/168.93 ! [V_a,V_b,T_a] : % 168.87/168.93 ( class_Orderings_Oorder(T_a) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 168.87/168.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_order__less__asym_H,axiom, % 168.87/168.93 ! [V_b,V_a,T_a] : % 168.87/168.93 ( class_Orderings_Opreorder(T_a) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ). % 168.87/168.93 % 168.87/168.93 fof(fact_order__less__imp__not__eq2,axiom, % 168.87/168.93 ! [V_y,V_x,T_a] : % 168.87/168.93 ( class_Orderings_Oorder(T_a) % 168.87/168.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.93 => V_y != V_x ) ) ). % 168.87/168.93 % 168.87/168.94 fof(fact_order__less__imp__not__eq,axiom, % 168.87/168.94 ! [V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Oorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.94 => V_x != V_y ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_order__less__imp__not__less,axiom, % 168.87/168.94 ! [V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Opreorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_order__less__not__sym,axiom, % 168.87/168.94 ! [V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Opreorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__imp__neq,axiom, % 168.87/168.94 ! [V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Oorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.94 => V_x != V_y ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_linorder__neqE,axiom, % 168.87/168.94 ! [V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Olinorder(T_a) % 168.87/168.94 => ( V_x != V_y % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_linorder__antisym__conv3,axiom, % 168.87/168.94 ! [V_x_2,V_y_2,T_b] : % 168.87/168.94 ( class_Orderings_Olinorder(T_b) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 168.87/168.94 <=> V_x_2 = V_y_2 ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_linorder__less__linear,axiom, % 168.87/168.94 ! [V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Olinorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.94 | V_x = V_y % 168.87/168.94 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_not__less__iff__gr__or__eq,axiom, % 168.87/168.94 ! [V_y_2,V_x_2,T_b] : % 168.87/168.94 ( class_Orderings_Olinorder(T_b) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) % 168.87/168.94 | V_x_2 = V_y_2 ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_linorder__neq__iff,axiom, % 168.87/168.94 ! [V_y_2,V_x_2,T_b] : % 168.87/168.94 ( class_Orderings_Olinorder(T_b) % 168.87/168.94 => ( V_x_2 != V_y_2 % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 168.87/168.94 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_order__less__irrefl,axiom, % 168.87/168.94 ! [V_x,T_a] : % 168.87/168.94 ( class_Orderings_Opreorder(T_a) % 168.87/168.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_fun__upd__def,axiom, % 168.87/168.94 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] : % 168.87/168.94 ( ( V_x_2 = V_a_2 % 168.87/168.94 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 ) % 168.87/168.94 & ( V_x_2 != V_a_2 % 168.87/168.94 => 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) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom, % 168.87/168.94 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 168.87/168.94 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 168.87/168.94 => 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)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_xt1_I8_J,axiom, % 168.87/168.94 ! [V_z,V_x,V_y,T_a] : % 168.87/168.94 ( class_Orderings_Oorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_order__le__less__trans,axiom, % 168.87/168.94 ! [V_z,V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Opreorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_xt1_I7_J,axiom, % 168.87/168.94 ! [V_z,V_x,V_y,T_a] : % 168.87/168.94 ( class_Orderings_Oorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_order__less__le__trans,axiom, % 168.87/168.94 ! [V_z,V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Opreorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_xt1_I11_J,axiom, % 168.87/168.94 ! [V_a,V_b,T_a] : % 168.87/168.94 ( class_Orderings_Oorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 168.87/168.94 => ( V_a != V_b % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_order__le__neq__trans,axiom, % 168.87/168.94 ! [V_b,V_a,T_a] : % 168.87/168.94 ( class_Orderings_Oorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.94 => ( V_a != V_b % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_order__le__imp__less__or__eq,axiom, % 168.87/168.94 ! [V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Oorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.94 | V_x = V_y ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_linorder__antisym__conv2,axiom, % 168.87/168.94 ! [V_y_2,V_x_2,T_b] : % 168.87/168.94 ( class_Orderings_Olinorder(T_b) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 168.87/168.94 <=> V_x_2 = V_y_2 ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_order__less__imp__le,axiom, % 168.87/168.94 ! [V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Opreorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_leD,axiom, % 168.87/168.94 ! [V_x,V_y,T_a] : % 168.87/168.94 ( class_Orderings_Olinorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 168.87/168.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_xt1_I12_J,axiom, % 168.87/168.94 ! [V_b,V_a,T_a] : % 168.87/168.94 ( class_Orderings_Oorder(T_a) % 168.87/168.94 => ( V_a != V_b % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_order__neq__le__trans,axiom, % 168.87/168.94 ! [V_b,V_a,T_a] : % 168.87/168.94 ( class_Orderings_Oorder(T_a) % 168.87/168.94 => ( V_a != V_b % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_linorder__antisym__conv1,axiom, % 168.87/168.94 ! [V_y_2,V_x_2,T_b] : % 168.87/168.94 ( class_Orderings_Olinorder(T_b) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 168.87/168.94 <=> V_x_2 = V_y_2 ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_not__leE,axiom, % 168.87/168.94 ! [V_x,V_y,T_a] : % 168.87/168.94 ( class_Orderings_Olinorder(T_a) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_leI,axiom, % 168.87/168.94 ! [V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Olinorder(T_a) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_order__le__less,axiom, % 168.87/168.94 ! [V_y_2,V_x_2,T_b] : % 168.87/168.94 ( class_Orderings_Oorder(T_b) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 168.87/168.94 | V_x_2 = V_y_2 ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__le__not__le,axiom, % 168.87/168.94 ! [V_y_2,V_x_2,T_b] : % 168.87/168.94 ( class_Orderings_Opreorder(T_b) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 168.87/168.94 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_order__less__le,axiom, % 168.87/168.94 ! [V_y_2,V_x_2,T_b] : % 168.87/168.94 ( class_Orderings_Oorder(T_b) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 168.87/168.94 & V_x_2 != V_y_2 ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_linorder__le__less__linear,axiom, % 168.87/168.94 ! [V_y,V_x,T_a] : % 168.87/168.94 ( class_Orderings_Olinorder(T_a) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 168.87/168.94 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_linorder__not__le,axiom, % 168.87/168.94 ! [V_y_2,V_x_2,T_b] : % 168.87/168.94 ( class_Orderings_Olinorder(T_b) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 168.87/168.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_linorder__not__less,axiom, % 168.87/168.94 ! [V_y_2,V_x_2,T_b] : % 168.87/168.94 ( class_Orderings_Olinorder(T_b) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2)) % 168.87/168.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__eq__diff__less,axiom, % 168.87/168.94 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 168.87/168.94 ( class_Groups_Oordered__ab__group__add(T_b) % 168.87/168.94 => ( 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) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 168.87/168.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_finite__nat__set__iff__bounded,axiom, % 168.87/168.94 ! [V_N_2] : % 168.87/168.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2)) % 168.87/168.94 <=> ? [B_m] : % 168.87/168.94 ! [B_x] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_fun__left__comm__idem__insert,axiom, % 168.87/168.94 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ). % 168.87/168.94 % 168.87/168.94 fof(fact_pigeonhole,axiom, % 168.87/168.94 ! [V_A_2,V_f_2,T_c,T_b] : % 168.87/168.94 ( 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))) % 168.87/168.94 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_the__inv__into__def,axiom, % 168.87/168.94 ! [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))) ). % 168.87/168.94 % 168.87/168.94 fof(fact_card__insert__disjoint,axiom, % 168.87/168.94 ! [V_x_2,V_A_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.94 => 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)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_card__insert__if,axiom, % 168.87/168.94 ! [V_x_2,V_A_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.94 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.94 => 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) ) % 168.87/168.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.94 => 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)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_inj__on__fun__updI,axiom, % 168.87/168.94 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] : % 168.87/168.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 168.87/168.94 => 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) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_card__insert,axiom, % 168.87/168.94 ! [V_x_2,V_A_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.94 => 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)))))) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_card__Diff__insert,axiom, % 168.87/168.94 ! [V_B_2,V_a_2,V_A_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2)) % 168.87/168.94 => 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)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_lessI,axiom, % 168.87/168.94 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__mono,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__eq__Suc__le__raw,axiom, % 168.87/168.94 ! [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)) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__Suc__eq__diff__pred,axiom, % 168.87/168.94 ! [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) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__Suc__1,axiom, % 168.87/168.94 ! [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 ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__diff__iff,axiom, % 168.87/168.94 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 168.87/168.94 => ( 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))) % 168.87/168.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__less__mono,axiom, % 168.87/168.94 ! [V_c,V_b,V_a] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a)) % 168.87/168.94 => 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))) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__diff__le,axiom, % 168.87/168.94 ! [V_m,V_n] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 168.87/168.94 => 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)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__less__Suc,axiom, % 168.87/168.94 ! [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))) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__eq__Suc__le,axiom, % 168.87/168.94 ! [V_m_2,V_na_2] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 168.87/168.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__Suc__eq__le,axiom, % 168.87/168.94 ! [V_na_2,V_m_2] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 168.87/168.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__fun__def,axiom, % 168.87/168.94 ! [V_g_2,V_f_2,T_b,T_c] : % 168.87/168.94 ( class_Orderings_Oord(T_c) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 168.87/168.94 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_psubsetD,axiom, % 168.87/168.94 ! [V_c_2,V_B_2,V_A_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_not__psubset__empty,axiom, % 168.87/168.94 ! [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)))) ). % 168.87/168.94 % 168.87/168.94 fof(fact_psubset__eq,axiom, % 168.87/168.94 ! [V_B_2,V_A_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.94 & V_A_2 != V_B_2 ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_subset__iff__psubset__eq,axiom, % 168.87/168.94 ! [V_B_2,V_A_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.94 | V_A_2 = V_B_2 ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_psubset__imp__subset,axiom, % 168.87/168.94 ! [V_B_2,V_A_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_psubset__subset__trans,axiom, % 168.87/168.94 ! [V_C_2,V_B_2,V_A_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_subset__psubset__trans,axiom, % 168.87/168.94 ! [V_C_2,V_B_2,V_A_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_inj__on__strict__subset,axiom, % 168.87/168.94 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 168.87/168.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.94 => 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))) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_psubset__card__mono,axiom, % 168.87/168.94 ! [V_A_2,V_B_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.94 => 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))) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__inject,axiom, % 168.87/168.94 ! [V_y,V_x] : % 168.87/168.94 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y) % 168.87/168.94 => V_x = V_y ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_nat_Oinject,axiom, % 168.87/168.94 ! [V_nat_H_2,V_nat_2] : % 168.87/168.94 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2) % 168.87/168.94 <=> V_nat_2 = V_nat_H_2 ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__n__not__n,axiom, % 168.87/168.94 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ). % 168.87/168.94 % 168.87/168.94 fof(fact_n__not__Suc__n,axiom, % 168.87/168.94 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ). % 168.87/168.94 % 168.87/168.94 fof(fact_inj__Suc,axiom, % 168.87/168.94 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ). % 168.87/168.94 % 168.87/168.94 fof(fact_nat__less__cases,axiom, % 168.87/168.94 ! [V_Pa_2,V_na_2,V_m_2] : % 168.87/168.94 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.94 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 168.87/168.94 => ( ( V_m_2 = V_na_2 % 168.87/168.94 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 168.87/168.94 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 168.87/168.94 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) % 168.87/168.94 => hBOOL(hAPP(hAPP(V_Pa_2,V_na_2),V_m_2)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__not__refl3,axiom, % 168.87/168.94 ! [V_t,V_s] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t)) % 168.87/168.94 => V_s != V_t ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__not__refl2,axiom, % 168.87/168.94 ! [V_m,V_n] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 168.87/168.94 => V_m != V_n ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__irrefl__nat,axiom, % 168.87/168.94 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 168.87/168.94 % 168.87/168.94 fof(fact_linorder__neqE__nat,axiom, % 168.87/168.94 ! [V_y,V_x] : % 168.87/168.94 ( V_x != V_y % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_nat__neq__iff,axiom, % 168.87/168.94 ! [V_na_2,V_m_2] : % 168.87/168.94 ( V_m_2 != V_na_2 % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.94 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__not__refl,axiom, % 168.87/168.94 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ). % 168.87/168.94 % 168.87/168.94 fof(fact_le__refl,axiom, % 168.87/168.94 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ). % 168.87/168.94 % 168.87/168.94 fof(fact_nat__le__linear,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_eq__imp__le,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( V_m = V_n % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_le__trans,axiom, % 168.87/168.94 ! [V_k,V_j,V_i] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_le__antisym,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 168.87/168.94 => V_m = V_n ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__commute,axiom, % 168.87/168.94 ! [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) ). % 168.87/168.94 % 168.87/168.94 fof(fact_card__psubset,axiom, % 168.87/168.94 ! [V_A_2,V_B_2,T_b] : % 168.87/168.94 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.94 => ( 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))) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_psubset__insert__iff,axiom, % 168.87/168.94 ! [V_B_2,V_x_2,V_A_2,T_b] : % 168.87/168.94 ( 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))) % 168.87/168.94 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) % 168.87/168.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) % 168.87/168.94 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.94 => 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)) ) % 168.87/168.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__less__SucD,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__lessD,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__SucE,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => V_m = V_n ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__trans__Suc,axiom, % 168.87/168.94 ! [V_k,V_j,V_i] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__lessI,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => ( hAPP(c_Nat_OSuc,V_m) != V_n % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__SucI,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__antisym,axiom, % 168.87/168.94 ! [V_m,V_n] : % 168.87/168.94 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m))) % 168.87/168.94 => V_m = V_n ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_not__less__less__Suc__eq,axiom, % 168.87/168.94 ! [V_m_2,V_na_2] : % 168.87/168.94 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) % 168.87/168.94 <=> V_na_2 = V_m_2 ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__less__eq,axiom, % 168.87/168.94 ! [V_na_2,V_m_2] : % 168.87/168.94 ( 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))) % 168.87/168.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__Suc__eq,axiom, % 168.87/168.94 ! [V_na_2,V_m_2] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.94 | V_m_2 = V_na_2 ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_not__less__eq,axiom, % 168.87/168.94 ! [V_na_2,V_m_2] : % 168.87/168.94 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__n__not__le__n,axiom, % 168.87/168.94 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ). % 168.87/168.94 % 168.87/168.94 fof(fact_not__less__eq__eq,axiom, % 168.87/168.94 ! [V_na_2,V_m_2] : % 168.87/168.94 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_le__Suc__eq,axiom, % 168.87/168.94 ! [V_na_2,V_m_2] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.94 | V_m_2 = hAPP(c_Nat_OSuc,V_na_2) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__le__mono,axiom, % 168.87/168.94 ! [V_m_2,V_na_2] : % 168.87/168.94 ( 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))) % 168.87/168.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_le__SucI,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_le__SucE,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) % 168.87/168.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__leD,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_nat__less__le,axiom, % 168.87/168.94 ! [V_na_2,V_m_2] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.94 & V_m_2 != V_na_2 ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_le__eq__less__or__eq,axiom, % 168.87/168.94 ! [V_na_2,V_m_2] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.94 | V_m_2 = V_na_2 ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__imp__le__nat,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_le__neq__implies__less,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => ( V_m != V_n % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__or__eq__imp__le,axiom, % 168.87/168.94 ! [V_n,V_m] : % 168.87/168.94 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 | V_m = V_n ) % 168.87/168.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_Suc__diff__diff,axiom, % 168.87/168.94 ! [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) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__Suc__Suc,axiom, % 168.87/168.94 ! [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) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__less__mono2,axiom, % 168.87/168.94 ! [V_l,V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l)) % 168.87/168.94 => 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))) ) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_less__imp__diff__less,axiom, % 168.87/168.94 ! [V_n,V_k,V_j] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k)) % 168.87/168.94 => 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)) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__le__self,axiom, % 168.87/168.94 ! [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)) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__le__mono2,axiom, % 168.87/168.94 ! [V_l,V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => 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))) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__le__mono,axiom, % 168.87/168.94 ! [V_l,V_n,V_m] : % 168.87/168.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 168.87/168.94 => 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))) ) ). % 168.87/168.94 % 168.87/168.94 fof(fact_diff__diff__cancel,axiom, % 168.87/168.94 ! [V_n,V_i] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n)) % 168.87/168.95 => 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 ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_eq__diff__iff,axiom, % 168.87/168.95 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 168.87/168.95 => ( 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) % 168.87/168.95 <=> V_m_2 = V_na_2 ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Nat_Odiff__diff__eq,axiom, % 168.87/168.95 ! [V_n,V_m,V_k] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 168.87/168.95 => 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) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__diff__iff,axiom, % 168.87/168.95 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_na_2)) % 168.87/168.95 => ( 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))) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Suc__le__lessD,axiom, % 168.87/168.95 ! [V_n,V_m] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__less__Suc__eq,axiom, % 168.87/168.95 ! [V_na_2,V_m_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),hAPP(c_Nat_OSuc,V_m_2))) % 168.87/168.95 <=> V_na_2 = V_m_2 ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Suc__leI,axiom, % 168.87/168.95 ! [V_n,V_m] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__imp__less__Suc,axiom, % 168.87/168.95 ! [V_n,V_m] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Suc__le__eq,axiom, % 168.87/168.95 ! [V_na_2,V_m_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2)) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_flat__lub__def,axiom, % 168.87/168.95 ! [V_b_2,V_A_2,T_b] : % 168.87/168.95 ( ( 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))))) % 168.87/168.95 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 ) % 168.87/168.95 & ( ~ 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))))) % 168.87/168.95 => 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)))))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_card_Oremove,axiom, % 168.87/168.95 ! [V_x_2,V_A_2,T_b] : % 168.87/168.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.95 => 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)))))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_termination__basic__simps_I5_J,axiom, % 168.87/168.95 ! [V_y,V_x] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_card_Oinsert__remove,axiom, % 168.87/168.95 ! [V_x_2,V_A_2,T_b] : % 168.87/168.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.95 => 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)))))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_the__eq__trivial,axiom, % 168.87/168.95 ! [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 ). % 168.87/168.95 % 168.87/168.95 fof(fact_the__sym__eq__trivial,axiom, % 168.87/168.95 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__eq__nat_Osimps_I2_J,axiom, % 168.87/168.95 ! [V_na_2,V_m_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_na_2)) % 168.87/168.95 <=> 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)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_card_Oinsert,axiom, % 168.87/168.95 ! [V_x_2,V_A_2,T_b] : % 168.87/168.95 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.95 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.95 => 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)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_fold__graph_H_Ointros_I2_J,axiom, % 168.87/168.95 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.95 => ( 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) % 168.87/168.95 => 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)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Diff1__fold__graph,axiom, % 168.87/168.95 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.95 ( 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)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.95 => 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))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Suc__diff__1,axiom, % 168.87/168.95 ! [V_n] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 168.87/168.95 => 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 ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__zeroE,axiom, % 168.87/168.95 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le0,axiom, % 168.87/168.95 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_zero__less__Suc,axiom, % 168.87/168.95 ! [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))) ). % 168.87/168.95 % 168.87/168.95 fof(fact_psubset__trans,axiom, % 168.87/168.95 ! [V_C_2,V_B_2,V_A_2,T_b] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_bot__nat__def,axiom, % 168.87/168.95 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__eq__self__zero,axiom, % 168.87/168.95 ! [V_n,V_m] : % 168.87/168.95 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m % 168.87/168.95 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat__case__0,axiom, % 168.87/168.95 ! [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 ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat__add__right__cancel,axiom, % 168.87/168.95 ! [V_na_2,V_k_2,V_m_2] : % 168.87/168.95 ( 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) % 168.87/168.95 <=> V_m_2 = V_na_2 ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat__add__left__cancel,axiom, % 168.87/168.95 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.95 ( 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) % 168.87/168.95 <=> V_m_2 = V_na_2 ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat__add__assoc,axiom, % 168.87/168.95 ! [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)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__is__0,axiom, % 168.87/168.95 ! [V_na_2,V_m_2] : % 168.87/168.95 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.95 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.95 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat__add__left__commute,axiom, % 168.87/168.95 ! [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)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat__add__commute,axiom, % 168.87/168.95 ! [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) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Nat_Oadd__0__right,axiom, % 168.87/168.95 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 168.87/168.95 % 168.87/168.95 fof(fact_plus__nat_Oadd__0,axiom, % 168.87/168.95 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__right__imp__eq,axiom, % 168.87/168.95 ! [V_c,V_a,V_b,T_a] : % 168.87/168.95 ( class_Groups_Ocancel__semigroup__add(T_a) % 168.87/168.95 => ( 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) % 168.87/168.95 => V_b = V_c ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__imp__eq,axiom, % 168.87/168.95 ! [V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 168.87/168.95 => ( 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) % 168.87/168.95 => V_b = V_c ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__left__imp__eq,axiom, % 168.87/168.95 ! [V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Ocancel__semigroup__add(T_a) % 168.87/168.95 => ( 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) % 168.87/168.95 => V_b = V_c ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__right__cancel,axiom, % 168.87/168.95 ! [V_c_2,V_a_2,V_b_2,T_b] : % 168.87/168.95 ( class_Groups_Ocancel__semigroup__add(T_b) % 168.87/168.95 => ( 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) % 168.87/168.95 <=> V_b_2 = V_c_2 ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__left__cancel,axiom, % 168.87/168.95 ! [V_c_2,V_b_2,V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Ocancel__semigroup__add(T_b) % 168.87/168.95 => ( 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) % 168.87/168.95 <=> V_b_2 = V_c_2 ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 168.87/168.95 ! [V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oab__semigroup__add(T_a) % 168.87/168.95 => 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)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add_Ocomm__neutral,axiom, % 168.87/168.95 ! [V_a,T_a] : % 168.87/168.95 ( class_Groups_Ocomm__monoid__add(T_a) % 168.87/168.95 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__0__right,axiom, % 168.87/168.95 ! [V_a,T_a] : % 168.87/168.95 ( class_Groups_Omonoid__add(T_a) % 168.87/168.95 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_double__zero__sym,axiom, % 168.87/168.95 ! [V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Olinordered__ab__group__add(T_b) % 168.87/168.95 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) % 168.87/168.95 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_zero__reorient,axiom, % 168.87/168.95 ! [V_x_2,T_b] : % 168.87/168.95 ( class_Groups_Ozero(T_b) % 168.87/168.95 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2 % 168.87/168.95 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__0,axiom, % 168.87/168.95 ! [V_a,T_a] : % 168.87/168.95 ( class_Groups_Ocomm__monoid__add(T_a) % 168.87/168.95 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__0__left,axiom, % 168.87/168.95 ! [V_a,T_a] : % 168.87/168.95 ( class_Groups_Omonoid__add(T_a) % 168.87/168.95 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 168.87/168.95 ! [V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Olinordered__ab__group__add(T_b) % 168.87/168.95 => ( 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))) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 168.87/168.95 ! [V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Olinordered__ab__group__add(T_b) % 168.87/168.95 => ( 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))) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__nonneg__nonneg,axiom, % 168.87/168.95 ! [V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__nonneg__eq__0__iff,axiom, % 168.87/168.95 ! [V_y_2,V_x_2,T_b] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_b) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2)) % 168.87/168.95 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b) % 168.87/168.95 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 168.87/168.95 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__increasing,axiom, % 168.87/168.95 ! [V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__increasing2,axiom, % 168.87/168.95 ! [V_a,V_b,V_c,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__nonpos__nonpos,axiom, % 168.87/168.95 ! [V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__neg__neg,axiom, % 168.87/168.95 ! [V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__pos__pos,axiom, % 168.87/168.95 ! [V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 168.87/168.95 ! [V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Olinordered__ab__group__add(T_b) % 168.87/168.95 => ( 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))) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 168.87/168.95 ! [V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Olinordered__ab__group__add(T_b) % 168.87/168.95 => ( 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))) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__is__1,axiom, % 168.87/168.95 ! [V_na_2,V_m_2] : % 168.87/168.95 ( 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)) % 168.87/168.95 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 168.87/168.95 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 168.87/168.95 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.95 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_one__is__add,axiom, % 168.87/168.95 ! [V_na_2,V_m_2] : % 168.87/168.95 ( 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) % 168.87/168.95 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 168.87/168.95 & V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 168.87/168.95 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.95 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__gr__0,axiom, % 168.87/168.95 ! [V_na_2,V_m_2] : % 168.87/168.95 ( 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))) % 168.87/168.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 168.87/168.95 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__add__0,axiom, % 168.87/168.95 ! [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) ). % 168.87/168.95 % 168.87/168.95 fof(fact_inj__on__add__nat,axiom, % 168.87/168.95 ! [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) ). % 168.87/168.95 % 168.87/168.95 fof(fact_termination__basic__simps_I1_J,axiom, % 168.87/168.95 ! [V_z,V_y,V_x] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y)) % 168.87/168.95 => 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_termination__basic__simps_I2_J,axiom, % 168.87/168.95 ! [V_y,V_z,V_x] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z)) % 168.87/168.95 => 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_termination__basic__simps_I4_J,axiom, % 168.87/168.95 ! [V_y,V_z,V_x] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z)) % 168.87/168.95 => 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_termination__basic__simps_I3_J,axiom, % 168.87/168.95 ! [V_z,V_y,V_x] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) % 168.87/168.95 => 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__nonpos__neg,axiom, % 168.87/168.95 ! [V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__neg__nonpos,axiom, % 168.87/168.95 ! [V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__strict__increasing2,axiom, % 168.87/168.95 ! [V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__strict__increasing,axiom, % 168.87/168.95 ! [V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__nonneg__pos,axiom, % 168.87/168.95 ! [V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__pos__nonneg,axiom, % 168.87/168.95 ! [V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__comm__monoid__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat__diff__split__asm,axiom, % 168.87/168.95 ! [V_b_2,V_a_2,V_Pa_2] : % 168.87/168.95 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 168.87/168.95 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 168.87/168.95 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 168.87/168.95 | ? [B_d] : % 168.87/168.95 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 168.87/168.95 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat__diff__split,axiom, % 168.87/168.95 ! [V_b_2,V_a_2,V_Pa_2] : % 168.87/168.95 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2))) % 168.87/168.95 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 168.87/168.95 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 168.87/168.95 & ! [B_d] : % 168.87/168.95 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d) % 168.87/168.95 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_fold__graph_H_Oequations_I1_J,axiom, % 168.87/168.95 ! [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) ). % 168.87/168.95 % 168.87/168.95 fof(fact_fold__graph_H_Ointros_I1_J,axiom, % 168.87/168.95 ! [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) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__le__imp__le__left,axiom, % 168.87/168.95 ! [V_b,V_a,V_c,T_a] : % 168.87/168.95 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 168.87/168.95 => ( 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))) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__le__imp__le__right,axiom, % 168.87/168.95 ! [V_b,V_c,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 168.87/168.95 => ( 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))) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__mono,axiom, % 168.87/168.95 ! [V_d,V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__left__mono,axiom, % 168.87/168.95 ! [V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.95 => 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))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__right__mono,axiom, % 168.87/168.95 ! [V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.95 => 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))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__le__cancel__left,axiom, % 168.87/168.95 ! [V_b_2,V_a_2,V_c_2,T_b] : % 168.87/168.95 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 168.87/168.95 => ( 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))) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__le__cancel__right,axiom, % 168.87/168.95 ! [V_b_2,V_c_2,V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 168.87/168.95 => ( 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))) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__less__imp__less__left,axiom, % 168.87/168.95 ! [V_b,V_a,V_c,T_a] : % 168.87/168.95 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 168.87/168.95 => ( 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))) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__less__imp__less__right,axiom, % 168.87/168.95 ! [V_b,V_c,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 168.87/168.95 => ( 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))) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__strict__mono,axiom, % 168.87/168.95 ! [V_d,V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__strict__left__mono,axiom, % 168.87/168.95 ! [V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.95 => 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))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__strict__right__mono,axiom, % 168.87/168.95 ! [V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.95 => 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))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__less__cancel__left,axiom, % 168.87/168.95 ! [V_b_2,V_a_2,V_c_2,T_b] : % 168.87/168.95 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 168.87/168.95 => ( 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))) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__less__cancel__right,axiom, % 168.87/168.95 ! [V_b_2,V_c_2,V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b) % 168.87/168.95 => ( 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))) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__add__cancel,axiom, % 168.87/168.95 ! [V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Ogroup__add(T_a) % 168.87/168.95 => 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 ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__diff__cancel,axiom, % 168.87/168.95 ! [V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Ogroup__add(T_a) % 168.87/168.95 => 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 ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__Suc__right,axiom, % 168.87/168.95 ! [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)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__Suc,axiom, % 168.87/168.95 ! [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)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__Suc__shift,axiom, % 168.87/168.95 ! [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)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_not__add__less1,axiom, % 168.87/168.95 ! [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)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_not__add__less2,axiom, % 168.87/168.95 ! [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)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat__add__left__cancel__less,axiom, % 168.87/168.95 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.95 ( 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))) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_trans__less__add1,axiom, % 168.87/168.95 ! [V_m,V_j,V_i] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 168.87/168.95 => 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_trans__less__add2,axiom, % 168.87/168.95 ! [V_m,V_j,V_i] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 168.87/168.95 => 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__less__mono1,axiom, % 168.87/168.95 ! [V_k,V_j,V_i] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 168.87/168.95 => 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__less__mono,axiom, % 168.87/168.95 ! [V_l,V_k,V_j,V_i] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 168.87/168.95 => 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))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__add__eq__less,axiom, % 168.87/168.95 ! [V_n,V_m,V_l,V_k] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l)) % 168.87/168.95 => ( 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) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__lessD1,axiom, % 168.87/168.95 ! [V_k,V_j,V_i] : % 168.87/168.95 ( 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)) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__leE,axiom, % 168.87/168.95 ! [V_n,V_k,V_m] : % 168.87/168.95 ( 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)) % 168.87/168.95 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 168.87/168.95 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__leD1,axiom, % 168.87/168.95 ! [V_n,V_k,V_m] : % 168.87/168.95 ( 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)) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__leD2,axiom, % 168.87/168.95 ! [V_n,V_k,V_m] : % 168.87/168.95 ( 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)) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__le__mono,axiom, % 168.87/168.95 ! [V_l,V_k,V_j,V_i] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 168.87/168.95 => 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))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__le__mono1,axiom, % 168.87/168.95 ! [V_k,V_j,V_i] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 168.87/168.95 => 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_trans__le__add2,axiom, % 168.87/168.95 ! [V_m,V_j,V_i] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 168.87/168.95 => 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_trans__le__add1,axiom, % 168.87/168.95 ! [V_m,V_j,V_i] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 168.87/168.95 => 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat__add__left__cancel__le,axiom, % 168.87/168.95 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.95 ( 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))) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__iff__add,axiom, % 168.87/168.95 ! [V_na_2,V_m_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.95 <=> ? [B_k] : V_na_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__add1,axiom, % 168.87/168.95 ! [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))) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__add2,axiom, % 168.87/168.95 ! [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))) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__add__inverse2,axiom, % 168.87/168.95 ! [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 ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__add__inverse,axiom, % 168.87/168.95 ! [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 ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__diff__left,axiom, % 168.87/168.95 ! [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)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__cancel,axiom, % 168.87/168.95 ! [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) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__cancel2,axiom, % 168.87/168.95 ! [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) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__0__right,axiom, % 168.87/168.95 ! [V_a,T_a] : % 168.87/168.95 ( class_Groups_Ogroup__add(T_a) % 168.87/168.95 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__self,axiom, % 168.87/168.95 ! [V_a,T_a] : % 168.87/168.95 ( class_Groups_Ogroup__add(T_a) % 168.87/168.95 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_eq__iff__diff__eq__0,axiom, % 168.87/168.95 ! [V_b_2,V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Oab__group__add(T_b) % 168.87/168.95 => ( V_a_2 = V_b_2 % 168.87/168.95 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_right__minus__eq,axiom, % 168.87/168.95 ! [V_b_2,V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Ogroup__add(T_b) % 168.87/168.95 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 168.87/168.95 <=> V_a_2 = V_b_2 ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Zero__not__Suc,axiom, % 168.87/168.95 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat_Osimps_I2_J,axiom, % 168.87/168.95 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Suc__not__Zero,axiom, % 168.87/168.95 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 168.87/168.95 % 168.87/168.95 fof(fact_nat_Osimps_I3_J,axiom, % 168.87/168.95 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Zero__neq__Suc,axiom, % 168.87/168.95 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Suc__neq__Zero,axiom, % 168.87/168.95 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 168.87/168.95 % 168.87/168.95 fof(fact_not__less0,axiom, % 168.87/168.95 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 168.87/168.95 % 168.87/168.95 fof(fact_neq0__conv,axiom, % 168.87/168.95 ! [V_na_2] : % 168.87/168.95 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__nat__zero__code,axiom, % 168.87/168.95 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ). % 168.87/168.95 % 168.87/168.95 fof(fact_gr__implies__not0,axiom, % 168.87/168.95 ! [V_n,V_m] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 168.87/168.95 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_gr0I,axiom, % 168.87/168.95 ! [V_n] : % 168.87/168.95 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__0__eq,axiom, % 168.87/168.95 ! [V_na_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 168.87/168.95 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 168.87/168.95 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__0__eq__0,axiom, % 168.87/168.95 ! [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) ). % 168.87/168.95 % 168.87/168.95 fof(fact_minus__nat_Odiff__0,axiom, % 168.87/168.95 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__self__eq__0,axiom, % 168.87/168.95 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diffs0__imp__equal,axiom, % 168.87/168.95 ! [V_n,V_m] : % 168.87/168.95 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.95 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.95 => V_m = V_n ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_empty__fold__graphE,axiom, % 168.87/168.95 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.95 ( 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)) % 168.87/168.95 => V_x_2 = V_z_2 ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_fold__graph_OemptyI,axiom, % 168.87/168.95 ! [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)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_fold__graph_Oequations_I1_J,axiom, % 168.87/168.95 ! [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)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_fold__graph__imp__finite,axiom, % 168.87/168.95 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.95 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 168.87/168.95 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__eq__if,axiom, % 168.87/168.95 ! [V_n,V_m] : % 168.87/168.95 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.95 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n ) % 168.87/168.95 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.95 => 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)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__less__le__mono,axiom, % 168.87/168.95 ! [V_d,V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__le__less__mono,axiom, % 168.87/168.95 ! [V_d,V_c,V_b,V_a,T_a] : % 168.87/168.95 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 168.87/168.95 => 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))) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__add__Suc1,axiom, % 168.87/168.95 ! [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)))) ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__add__Suc2,axiom, % 168.87/168.95 ! [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)))) ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__iff__Suc__add,axiom, % 168.87/168.95 ! [V_na_2,V_m_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 168.87/168.95 <=> ? [B_k] : V_na_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__diff__conv,axiom, % 168.87/168.95 ! [V_k_2,V_j_2,V_i_2] : % 168.87/168.95 ( 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))) % 168.87/168.95 <=> 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)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__diff__inverse,axiom, % 168.87/168.95 ! [V_n,V_m] : % 168.87/168.95 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 168.87/168.95 => 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 ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__iff__diff__le__0,axiom, % 168.87/168.95 ! [V_b_2,V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Oordered__ab__group__add(T_b) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 168.87/168.95 <=> 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))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__add__assoc2,axiom, % 168.87/168.95 ! [V_i,V_j,V_k] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 168.87/168.95 => 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) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__diff__assoc2,axiom, % 168.87/168.95 ! [V_i,V_j,V_k] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 168.87/168.95 => 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) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__add__assoc,axiom, % 168.87/168.95 ! [V_i,V_j,V_k] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 168.87/168.95 => 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)) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__imp__diff__is__add,axiom, % 168.87/168.95 ! [V_k_2,V_j_2,V_i_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 168.87/168.95 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2 % 168.87/168.95 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__add__diff__inverse2,axiom, % 168.87/168.95 ! [V_m,V_n] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 168.87/168.95 => 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 ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__diff__conv2,axiom, % 168.87/168.95 ! [V_i_2,V_j_2,V_k_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2)) % 168.87/168.95 => ( 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))) % 168.87/168.95 <=> 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)) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_add__diff__assoc,axiom, % 168.87/168.95 ! [V_i,V_j,V_k] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 168.87/168.95 => 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) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__add__diff__inverse,axiom, % 168.87/168.95 ! [V_m,V_n] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 168.87/168.95 => 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 ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__add__diff,axiom, % 168.87/168.95 ! [V_m,V_n,V_k] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) % 168.87/168.95 => 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_le__diff__conv,axiom, % 168.87/168.95 ! [V_i_2,V_k_2,V_j_2] : % 168.87/168.95 ( 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)) % 168.87/168.95 <=> 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))) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_diff__diff__right,axiom, % 168.87/168.95 ! [V_i,V_j,V_k] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 168.87/168.95 => 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) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__iff__diff__less__0,axiom, % 168.87/168.95 ! [V_b_2,V_a_2,T_b] : % 168.87/168.95 ( class_Groups_Oordered__ab__group__add(T_b) % 168.87/168.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 168.87/168.95 <=> 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))) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Suc__eq__plus1__left,axiom, % 168.87/168.95 ! [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) ). % 168.87/168.95 % 168.87/168.95 fof(fact_Suc__eq__plus1,axiom, % 168.87/168.95 ! [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)) ). % 168.87/168.95 % 168.87/168.95 fof(fact_gr0__conv__Suc,axiom, % 168.87/168.95 ! [V_na_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 168.87/168.95 <=> ? [B_m] : V_na_2 = hAPP(c_Nat_OSuc,B_m) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__Suc0,axiom, % 168.87/168.95 ! [V_na_2] : % 168.87/168.95 ( 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)))) % 168.87/168.95 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_less__Suc__eq__0__disj,axiom, % 168.87/168.95 ! [V_na_2,V_m_2] : % 168.87/168.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 168.87/168.95 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.95 | ? [B_j] : % 168.87/168.95 ( V_m_2 = hAPP(c_Nat_OSuc,B_j) % 168.87/168.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_na_2)) ) ) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_card_Oempty,axiom, % 168.87/168.95 ! [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) ). % 168.87/168.95 % 168.87/168.95 fof(fact_card__infinite,axiom, % 168.87/168.95 ! [V_A_2,T_b] : % 168.87/168.95 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.95 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 168.87/168.95 % 168.87/168.95 fof(fact_zero__less__diff,axiom, % 168.87/168.96 ! [V_m_2,V_na_2] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_diff__less,axiom, % 168.87/168.96 ! [V_m,V_n] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 168.87/168.96 => 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)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_diff__is__0__eq_H,axiom, % 168.87/168.96 ! [V_n,V_m] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 168.87/168.96 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_diff__is__0__eq,axiom, % 168.87/168.96 ! [V_na_2,V_m_2] : % 168.87/168.96 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_One__nat__def,axiom, % 168.87/168.96 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_fold__graph_OinsertI,axiom, % 168.87/168.96 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] : % 168.87/168.96 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 168.87/168.96 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 168.87/168.96 => 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__case__Suc,axiom, % 168.87/168.96 ! [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) ). % 168.87/168.96 % 168.87/168.96 fof(fact_diff__Suc__diff__eq1,axiom, % 168.87/168.96 ! [V_m,V_j,V_k] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_diff__Suc__diff__eq2,axiom, % 168.87/168.96 ! [V_m,V_j,V_k] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j)) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_card__eq__0__iff,axiom, % 168.87/168.96 ! [V_A_2,T_b] : % 168.87/168.96 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.96 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.96 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_card__ge__0__finite,axiom, % 168.87/168.96 ! [V_A_2,T_b] : % 168.87/168.96 ( 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))) % 168.87/168.96 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Suc__pred,axiom, % 168.87/168.96 ! [V_n] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 168.87/168.96 => 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 ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_diff__Suc__less,axiom, % 168.87/168.96 ! [V_i,V_n] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_card__gt__0__iff,axiom, % 168.87/168.96 ! [V_A_2,T_b] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.96 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Suc__pred_H,axiom, % 168.87/168.96 ! [V_n] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 168.87/168.96 => 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zero__less__two,axiom, % 168.87/168.96 ! [T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semidom(T_a) % 168.87/168.96 => 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)))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_less__add__one,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semidom(T_a) % 168.87/168.96 => 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)))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_not__one__less__zero,axiom, % 168.87/168.96 ! [T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semidom(T_a) % 168.87/168.96 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zero__less__one,axiom, % 168.87/168.96 ! [T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semidom(T_a) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_not__one__le__zero,axiom, % 168.87/168.96 ! [T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semidom(T_a) % 168.87/168.96 => ~ 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zero__le__one,axiom, % 168.87/168.96 ! [T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semidom(T_a) % 168.87/168.96 => 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_even__less__0__iff,axiom, % 168.87/168.96 ! [V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__idom(T_b) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_pos__add__strict,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semidom(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_fold1Set_Ointros,axiom, % 168.87/168.96 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] : % 168.87/168.96 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2)) % 168.87/168.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 168.87/168.96 => 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)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_card__Suc__eq,axiom, % 168.87/168.96 ! [V_k_2,V_A_2,T_b] : % 168.87/168.96 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2) % 168.87/168.96 <=> ? [B_b,B_B] : % 168.87/168.96 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B) % 168.87/168.96 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B)) % 168.87/168.96 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2 % 168.87/168.96 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.96 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_empty__fold1SetE,axiom, % 168.87/168.96 ! [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)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_fold1Set__nonempty,axiom, % 168.87/168.96 ! [V_x_2,V_A_2,V_f_2,T_b] : % 168.87/168.96 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2)) % 168.87/168.96 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_linorder__neqE__linordered__idom,axiom, % 168.87/168.96 ! [V_y,V_x,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__idom(T_a) % 168.87/168.96 => ( V_x != V_y % 168.87/168.96 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_fold1Set__sing,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,V_f_2,T_b] : % 168.87/168.96 ( 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)) % 168.87/168.96 <=> V_a_2 = V_b_2 ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_diff__Suc,axiom, % 168.87/168.96 ! [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)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_double__eq__0__iff,axiom, % 168.87/168.96 ! [V_a_2,T_b] : % 168.87/168.96 ( class_Groups_Olinordered__ab__group__add(T_b) % 168.87/168.96 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 168.87/168.96 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zero__neq__one,axiom, % 168.87/168.96 ! [T_a] : % 168.87/168.96 ( class_Rings_Ozero__neq__one(T_a) % 168.87/168.96 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_one__neq__zero,axiom, % 168.87/168.96 ! [T_a] : % 168.87/168.96 ( class_Rings_Ozero__neq__one(T_a) % 168.87/168.96 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Ints__odd__less__0,axiom, % 168.87/168.96 ! [V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__idom(T_b) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_fold__graph_H_Oequations_I2_J,axiom, % 168.87/168.96 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] : % 168.87/168.96 ( 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)) % 168.87/168.96 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.96 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 ) % 168.87/168.96 | ? [B_x,B_y] : % 168.87/168.96 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2)) % 168.87/168.96 & 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) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_add__0__iff,axiom, % 168.87/168.96 ! [V_a_2,V_b_2,T_b] : % 168.87/168.96 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 168.87/168.96 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) % 168.87/168.96 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_card__Plus__conv__if,axiom, % 168.87/168.96 ! [V_B_2,T_c,V_A_2,T_b] : % 168.87/168.96 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.96 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 168.87/168.96 => 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)) ) % 168.87/168.96 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.96 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) % 168.87/168.96 => 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) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_ex__least__nat__less,axiom, % 168.87/168.96 ! [V_na_2,V_Pa_2] : % 168.87/168.96 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 168.87/168.96 => ( hBOOL(hAPP(V_Pa_2,V_na_2)) % 168.87/168.96 => ? [B_k] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_na_2)) % 168.87/168.96 & ! [B_i] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k)) % 168.87/168.96 => ~ hBOOL(hAPP(V_Pa_2,B_i)) ) % 168.87/168.96 & 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)))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_card__def,axiom, % 168.87/168.96 ! [V_A_2,T_b] : % 168.87/168.96 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.96 => 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) ) % 168.87/168.96 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.96 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_card_Oeq__fold__g,axiom, % 168.87/168.96 ! [V_A_2,T_b] : % 168.87/168.96 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_fold__image__empty,axiom, % 168.87/168.96 ! [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 ). % 168.87/168.96 % 168.87/168.96 fof(fact_finite__PlusD_I2_J,axiom, % 168.87/168.96 ! [V_B_2,V_A_2,T_c,T_b] : % 168.87/168.96 ( 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))) % 168.87/168.96 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_finite__PlusD_I1_J,axiom, % 168.87/168.96 ! [V_B_2,V_A_2,T_c,T_b] : % 168.87/168.96 ( 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))) % 168.87/168.96 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_finite__Plus,axiom, % 168.87/168.96 ! [V_B_2,T_c,V_A_2,T_b] : % 168.87/168.96 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 168.87/168.96 => 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_finite__Plus__iff,axiom, % 168.87/168.96 ! [V_B_2,V_A_2,T_c,T_b] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.96 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_folding__image__simple_Oeq__fold__g,axiom, % 168.87/168.96 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.96 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 168.87/168.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 168.87/168.96 => 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) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_folding__image_Oeq__fold,axiom, % 168.87/168.96 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 168.87/168.96 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 168.87/168.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 168.87/168.96 => 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) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Ints__0,axiom, % 168.87/168.96 ! [T_b] : % 168.87/168.96 ( class_Rings_Oring__1(T_b) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Ints__add,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Oring__1(T_b) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Ints__diff,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Oring__1(T_b) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Ints__1,axiom, % 168.87/168.96 ! [T_b] : % 168.87/168.96 ( class_Rings_Oring__1(T_b) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 168.87/168.96 ! [V_c,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 168.87/168.96 ! [V_d,V_c,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 168.87/168.96 ! [V_d,V_c,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 168.87/168.96 ! [V_d,V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Ints__double__eq__0__iff,axiom, % 168.87/168.96 ! [V_a_2,T_b] : % 168.87/168.96 ( class_Int_Oring__char__0(T_b) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 168.87/168.96 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 168.87/168.96 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_card__Plus,axiom, % 168.87/168.96 ! [V_B_2,T_c,V_A_2,T_b] : % 168.87/168.96 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 168.87/168.96 => 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)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Ints__odd__nonzero,axiom, % 168.87/168.96 ! [V_a_2,T_b] : % 168.87/168.96 ( class_Int_Oring__char__0(T_b) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 168.87/168.96 => 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) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Plus__eq__empty__conv,axiom, % 168.87/168.96 ! [V_B_2,V_A_2,T_c,T_b] : % 168.87/168.96 ( 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)) % 168.87/168.96 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 168.87/168.96 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_insert__fold1SetE,axiom, % 168.87/168.96 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] : % 168.87/168.96 ( 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)) % 168.87/168.96 => ~ ! [B_a,B_A] : % 168.87/168.96 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 168.87/168.96 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_fold1Set_Oequations,axiom, % 168.87/168.96 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] : % 168.87/168.96 ( 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)) % 168.87/168.96 <=> ? [B_a,B_A] : % 168.87/168.96 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A) % 168.87/168.96 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2)) % 168.87/168.96 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_inj__on__diff__nat,axiom, % 168.87/168.96 ! [V_k_2,V_N_2] : % 168.87/168.96 ( ! [B_x] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) ) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_fold__graph__permute__diff,axiom, % 168.87/168.96 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] : % 168.87/168.96 ( class_Groups_Oab__semigroup__mult(T_b) % 168.87/168.96 => ( 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)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 168.87/168.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 168.87/168.96 => 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)) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_card_Oneutral,axiom, % 168.87/168.96 ! [V_A_2,T_b] : % 168.87/168.96 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.96 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 168.87/168.96 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 168.87/168.96 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_expand__Suc,axiom, % 168.87/168.96 ! [V_v] : % 168.87/168.96 ( 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))) % 168.87/168.96 => 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_convex__bound__lt,axiom, % 168.87/168.96 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 168.87/168.96 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 168.87/168.96 => 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)) ) ) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_pair__box_Osize_I1_J,axiom, % 168.87/168.96 ! [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))) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 168.87/168.96 ! [V_ry,V_rx,V_lx,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 168.87/168.96 ! [V_ry,V_rx,V_lx,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 168.87/168.96 ! [V_rx,V_ly,V_lx,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 168.87/168.96 ! [V_rx,V_ly,V_lx,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 168.87/168.96 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 168.87/168.96 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 168.87/168.96 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_times_Oidem,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 168.87/168.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__idem,axiom, % 168.87/168.96 ! [V_x,T_a] : % 168.87/168.96 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 168.87/168.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__left__idem,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Groups_Oab__semigroup__mult(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_number__of__mult,axiom, % 168.87/168.96 ! [V_w,V_v,T_a] : % 168.87/168.96 ( class_Int_Onumber__ring(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_number__of__reorient,axiom, % 168.87/168.96 ! [V_x_2,V_w_2,T_b] : % 168.87/168.96 ( class_Int_Onumber(T_b) % 168.87/168.96 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2 % 168.87/168.96 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_arith__simps_I32_J,axiom, % 168.87/168.96 ! [V_w,V_v,T_a] : % 168.87/168.96 ( class_Int_Onumber__ring(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_eq__number__of,axiom, % 168.87/168.96 ! [V_y_2,V_x_2,T_b] : % 168.87/168.96 ( ( class_Int_Onumber__ring(T_b) % 168.87/168.96 & class_Int_Oring__char__0(T_b) ) % 168.87/168.96 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 168.87/168.96 <=> V_x_2 = V_y_2 ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__number__of__left,axiom, % 168.87/168.96 ! [V_z,V_w,V_v,T_a] : % 168.87/168.96 ( class_Int_Onumber__ring(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_left__diff__distrib__number__of,axiom, % 168.87/168.96 ! [V_v,V_b,V_a,T_b] : % 168.87/168.96 ( ( class_Int_Onumber(T_b) % 168.87/168.96 & class_Rings_Oring(T_b) ) % 168.87/168.96 => 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_right__diff__distrib__number__of,axiom, % 168.87/168.96 ! [V_c,V_b,V_v,T_b] : % 168.87/168.96 ( ( class_Int_Onumber(T_b) % 168.87/168.96 & class_Rings_Oring(T_b) ) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_left__distrib__number__of,axiom, % 168.87/168.96 ! [V_v,V_b,V_a,T_b] : % 168.87/168.96 ( ( class_Int_Onumber(T_b) % 168.87/168.96 & class_Rings_Osemiring(T_b) ) % 168.87/168.96 => 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_right__distrib__number__of,axiom, % 168.87/168.96 ! [V_c,V_b,V_v,T_b] : % 168.87/168.96 ( ( class_Int_Onumber(T_b) % 168.87/168.96 & class_Rings_Osemiring(T_b) ) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_pair__box_Oinject,axiom, % 168.87/168.96 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 168.87/168.96 ( 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) % 168.87/168.96 <=> ( V_a_2 = V_a_H_2 % 168.87/168.96 & V_b_2 = V_b_H_2 ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_le__number__of,axiom, % 168.87/168.96 ! [V_y_2,V_x_2,T_b] : % 168.87/168.96 ( ( class_Int_Onumber__ring(T_b) % 168.87/168.96 & class_Rings_Olinordered__idom(T_b) ) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_less__number__of,axiom, % 168.87/168.96 ! [V_y_2,V_x_2,T_b] : % 168.87/168.96 ( ( class_Int_Onumber__ring(T_b) % 168.87/168.96 & class_Rings_Olinordered__idom(T_b) ) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_add__number__of__left,axiom, % 168.87/168.96 ! [V_z,V_w,V_v,T_a] : % 168.87/168.96 ( class_Int_Onumber__ring(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_add__number__of__eq,axiom, % 168.87/168.96 ! [V_w,V_v,T_a] : % 168.87/168.96 ( class_Int_Onumber__ring(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_number__of__add,axiom, % 168.87/168.96 ! [V_w,V_v,T_a] : % 168.87/168.96 ( class_Int_Onumber__ring(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_number__of__diff,axiom, % 168.87/168.96 ! [V_w,V_v,T_a] : % 168.87/168.96 ( class_Int_Onumber__ring(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_divisors__zero,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ono__zero__divisors(T_a) % 168.87/168.96 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 168.87/168.96 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 168.87/168.96 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_no__zero__divisors,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ono__zero__divisors(T_a) % 168.87/168.96 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 168.87/168.96 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 168.87/168.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__eq__0__iff,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Oring__no__zero__divisors(T_b) % 168.87/168.96 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) % 168.87/168.96 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 168.87/168.96 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__zero__right,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Rings_Omult__zero(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__zero__left,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Rings_Omult__zero(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_combine__common__factor,axiom, % 168.87/168.96 ! [V_c,V_b,V_e,V_a,T_a] : % 168.87/168.96 ( class_Rings_Osemiring(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__class_Odistrib,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_crossproduct__eq,axiom, % 168.87/168.96 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] : % 168.87/168.96 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 168.87/168.96 => ( 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)) % 168.87/168.96 <=> ( V_w_2 = V_x_2 % 168.87/168.96 | V_y_2 = V_z_2 ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 168.87/168.96 ! [V_b,V_m,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_crossproduct__noteq,axiom, % 168.87/168.96 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 168.87/168.96 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b) % 168.87/168.96 => ( ( V_a_2 != V_b_2 % 168.87/168.96 & V_c_2 != V_d_2 ) % 168.87/168.96 <=> 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)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 168.87/168.96 ! [V_z,V_y,V_x,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__1__left,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Groups_Omonoid__mult(T_a) % 168.87/168.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__1,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Groups_Ocomm__monoid__mult(T_a) % 168.87/168.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__1__right,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Groups_Omonoid__mult(T_a) % 168.87/168.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult_Ocomm__neutral,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Groups_Ocomm__monoid__mult(T_a) % 168.87/168.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__0,axiom, % 168.87/168.96 ! [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) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__0__right,axiom, % 168.87/168.96 ! [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) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__is__0,axiom, % 168.87/168.96 ! [V_na_2,V_m_2] : % 168.87/168.96 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.96 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.96 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__cancel1,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.96 ( 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) % 168.87/168.96 <=> ( V_m_2 = V_na_2 % 168.87/168.96 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__cancel2,axiom, % 168.87/168.96 ! [V_na_2,V_k_2,V_m_2] : % 168.87/168.96 ( 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) % 168.87/168.96 <=> ( V_m_2 = V_na_2 % 168.87/168.96 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Suc__mult__cancel1,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.96 ( 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) % 168.87/168.96 <=> V_m_2 = V_na_2 ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_add__mult__distrib2,axiom, % 168.87/168.96 ! [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)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_add__mult__distrib,axiom, % 168.87/168.96 ! [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)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_le__square,axiom, % 168.87/168.96 ! [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))) ). % 168.87/168.96 % 168.87/168.96 fof(fact_le__cube,axiom, % 168.87/168.96 ! [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)))) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__le__mono1,axiom, % 168.87/168.96 ! [V_k,V_j,V_i] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 168.87/168.96 => 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__le__mono2,axiom, % 168.87/168.96 ! [V_k,V_j,V_i] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 168.87/168.96 => 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__le__mono,axiom, % 168.87/168.96 ! [V_l,V_k,V_j,V_i] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l)) % 168.87/168.96 => 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_diff__mult__distrib,axiom, % 168.87/168.96 ! [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)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_diff__mult__distrib2,axiom, % 168.87/168.96 ! [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)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__mult__eq__1__iff,axiom, % 168.87/168.96 ! [V_na_2,V_m_2] : % 168.87/168.96 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 168.87/168.96 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 168.87/168.96 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__mult__1__right,axiom, % 168.87/168.96 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__1__eq__mult__iff,axiom, % 168.87/168.96 ! [V_na_2,V_m_2] : % 168.87/168.96 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_na_2) % 168.87/168.96 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 168.87/168.96 & V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__mult__1,axiom, % 168.87/168.96 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 168.87/168.96 % 168.87/168.96 fof(fact_fun__left__comm__idem,axiom, % 168.87/168.96 ! [T_b] : % 168.87/168.96 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 168.87/168.96 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_le__number__of__eq__not__less,axiom, % 168.87/168.96 ! [V_w_2,V_v_2,T_b] : % 168.87/168.96 ( ( class_Int_Onumber(T_b) % 168.87/168.96 & class_Orderings_Olinorder(T_b) ) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> ~ 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_add__number__of__diff1,axiom, % 168.87/168.96 ! [V_c,V_w,V_v,T_a] : % 168.87/168.96 ( class_Int_Onumber__ring(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_split__mult__neg__le,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__cancel__semiring(T_a) % 168.87/168.96 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) % 168.87/168.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) % 168.87/168.96 => 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_split__mult__pos__le,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__ring(T_a) % 168.87/168.96 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) % 168.87/168.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 168.87/168.96 => 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__mono,axiom, % 168.87/168.96 ! [V_d,V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__semiring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__mono_H,axiom, % 168.87/168.96 ! [V_d,V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__semiring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__left__mono__neg,axiom, % 168.87/168.96 ! [V_c,V_a,V_b,T_a] : % 168.87/168.96 ( class_Rings_Oordered__ring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__right__mono__neg,axiom, % 168.87/168.96 ! [V_c,V_a,V_b,T_a] : % 168.87/168.96 ( class_Rings_Oordered__ring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__mult__left__mono,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__comm__semiring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__left__mono,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__semiring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__right__mono,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__semiring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__nonpos__nonpos,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__ring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__nonpos__nonneg,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__cancel__semiring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__nonneg__nonpos2,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__cancel__semiring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__nonneg__nonpos,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__cancel__semiring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__nonneg__nonneg,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Oordered__cancel__semiring(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__le__0__iff,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_b) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 168.87/168.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zero__le__mult__iff,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_b) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 168.87/168.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zero__le__square,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__ring(T_a) % 168.87/168.96 => 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__strict__left__mono__neg,axiom, % 168.87/168.96 ! [V_c,V_a,V_b,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__strict__right__mono__neg,axiom, % 168.87/168.96 ! [V_c,V_a,V_b,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__mult__strict__left__mono,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__strict__left__mono,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__strict__right__mono,axiom, % 168.87/168.96 ! [V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__neg__neg,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__neg__pos,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__less__cancel__left__neg,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,V_c_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_b) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zero__less__mult__pos2,axiom, % 168.87/168.96 ! [V_a,V_b,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( 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))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zero__less__mult__pos,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( 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))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__pos__neg2,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__pos__neg,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__pos__pos,axiom, % 168.87/168.96 ! [V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__less__cancel__left__pos,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,V_c_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_b) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__less__cancel__left__disj,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,V_c_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_b) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 168.87/168.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__less__cancel__right__disj,axiom, % 168.87/168.96 ! [V_b_2,V_c_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_b) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) % 168.87/168.96 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_not__square__less__zero,axiom, % 168.87/168.96 ! [V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__ring(T_a) % 168.87/168.96 => ~ 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_sum__squares__eq__zero__iff,axiom, % 168.87/168.96 ! [V_y_2,V_x_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_b) % 168.87/168.96 => ( 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) % 168.87/168.96 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 168.87/168.96 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_add__scale__eq__noteq,axiom, % 168.87/168.96 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 168.87/168.96 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 168.87/168.96 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 168.87/168.96 => ( ( V_a = V_b % 168.87/168.96 & V_c != V_d ) % 168.87/168.96 => 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)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_less__1__mult,axiom, % 168.87/168.96 ! [V_n,V_m,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semidom(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_eq__add__iff2,axiom, % 168.87/168.96 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Oring(T_b) % 168.87/168.96 => ( 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) % 168.87/168.96 <=> 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) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_eq__add__iff1,axiom, % 168.87/168.96 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Oring(T_b) % 168.87/168.96 => ( 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) % 168.87/168.96 <=> 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 ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 168.87/168.96 ! [V_m,V_a,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 168.87/168.96 ! [V_a,V_m,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 168.87/168.96 ! [V_m,T_a] : % 168.87/168.96 ( class_Rings_Ocomm__semiring__1(T_a) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__eq__1__iff,axiom, % 168.87/168.96 ! [V_na_2,V_m_2] : % 168.87/168.96 ( 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)) % 168.87/168.96 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 168.87/168.96 & V_na_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__0__less__mult__iff,axiom, % 168.87/168.96 ! [V_na_2,V_m_2] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__less__cancel1,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__less__cancel2,axiom, % 168.87/168.96 ! [V_na_2,V_k_2,V_m_2] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 168.87/168.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__less__mono1,axiom, % 168.87/168.96 ! [V_k,V_j,V_i] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 168.87/168.96 => 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__less__mono2,axiom, % 168.87/168.96 ! [V_k,V_j,V_i] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 168.87/168.96 => 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Suc__mult__less__cancel1,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__Suc__right,axiom, % 168.87/168.96 ! [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)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__Suc,axiom, % 168.87/168.96 ! [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)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Suc__mult__le__cancel1,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Ints__number__of,axiom, % 168.87/168.96 ! [V_w_2,T_b] : % 168.87/168.96 ( class_Int_Onumber__ring(T_b) % 168.87/168.96 => 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__eq__self__implies__10,axiom, % 168.87/168.96 ! [V_n,V_m] : % 168.87/168.96 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 168.87/168.96 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 168.87/168.96 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_Ints__mult,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Oring__1(T_b) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b))) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__left__le__imp__le,axiom, % 168.87/168.96 ! [V_b,V_a,V_c,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( 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))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__right__le__imp__le,axiom, % 168.87/168.96 ! [V_b,V_c,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( 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))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__less__imp__less__left,axiom, % 168.87/168.96 ! [V_b,V_a,V_c,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( 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))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__left__less__imp__less,axiom, % 168.87/168.96 ! [V_b,V_a,V_c,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring(T_a) % 168.87/168.96 => ( 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))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__less__imp__less__right,axiom, % 168.87/168.96 ! [V_b,V_c,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( 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))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__right__less__imp__less,axiom, % 168.87/168.96 ! [V_b,V_c,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring(T_a) % 168.87/168.96 => ( 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))) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__le__less__imp__less,axiom, % 168.87/168.96 ! [V_d,V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__less__le__imp__less,axiom, % 168.87/168.96 ! [V_d,V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__strict__mono_H,axiom, % 168.87/168.96 ! [V_d,V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__strict__mono,axiom, % 168.87/168.96 ! [V_d,V_c,V_b,V_a,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__strict(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 168.87/168.96 => 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))) ) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__le__cancel__left__neg,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,V_c_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_b) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__le__cancel__left__pos,axiom, % 168.87/168.96 ! [V_b_2,V_a_2,V_c_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_b) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_sum__squares__ge__zero,axiom, % 168.87/168.96 ! [V_y,V_x,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__ring(T_a) % 168.87/168.96 => 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)))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_sum__squares__le__zero__iff,axiom, % 168.87/168.96 ! [V_y_2,V_x_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_b) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 168.87/168.96 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_sum__squares__gt__zero__iff,axiom, % 168.87/168.96 ! [V_y_2,V_x_2,T_b] : % 168.87/168.96 ( class_Rings_Olinordered__ring__strict(T_b) % 168.87/168.96 => ( 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)))) % 168.87/168.96 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 168.87/168.96 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_not__sum__squares__lt__zero,axiom, % 168.87/168.96 ! [V_y,V_x,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__ring(T_a) % 168.87/168.96 => ~ 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))) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__left__le__one__le,axiom, % 168.87/168.96 ! [V_y,V_x,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__idom(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 168.87/168.96 => 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)) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__right__le__one__le,axiom, % 168.87/168.96 ! [V_y,V_x,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__idom(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a))) % 168.87/168.96 => 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)) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_le__add__iff1,axiom, % 168.87/168.96 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Oordered__ring(T_b) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> 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)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_le__add__iff2,axiom, % 168.87/168.96 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Oordered__ring(T_b) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_less__add__iff1,axiom, % 168.87/168.96 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Oordered__ring(T_b) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> 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)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_less__add__iff2,axiom, % 168.87/168.96 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] : % 168.87/168.96 ( class_Rings_Oordered__ring(T_b) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_one__less__mult,axiom, % 168.87/168.96 ! [V_m,V_n] : % 168.87/168.96 ( 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)) % 168.87/168.96 => ( 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)) % 168.87/168.96 => 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_n__less__n__mult__m,axiom, % 168.87/168.96 ! [V_m,V_n] : % 168.87/168.96 ( 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)) % 168.87/168.96 => ( 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)) % 168.87/168.96 => 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_n__less__m__mult__n,axiom, % 168.87/168.96 ! [V_m,V_n] : % 168.87/168.96 ( 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)) % 168.87/168.96 => ( 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)) % 168.87/168.96 => 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_one__le__mult__iff,axiom, % 168.87/168.96 ! [V_na_2,V_m_2] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> ( 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)) % 168.87/168.96 & 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)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__le__cancel2,axiom, % 168.87/168.96 ! [V_na_2,V_k_2,V_m_2] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__le__cancel1,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 168.87/168.96 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_fold__graph__insert__swap,axiom, % 168.87/168.96 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] : % 168.87/168.96 ( class_Groups_Oab__semigroup__mult(T_b) % 168.87/168.96 => ( 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)) % 168.87/168.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 168.87/168.96 => 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))) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_fold__image__distrib,axiom, % 168.87/168.96 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 168.87/168.96 ( class_Groups_Ocomm__monoid__mult(T_c) % 168.87/168.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.96 => 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)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_convex__bound__le,axiom, % 168.87/168.96 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 168.87/168.96 ( class_Rings_Olinordered__semiring__1(T_a) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u)) % 168.87/168.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v)) % 168.87/168.96 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a) % 168.87/168.96 => 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)) ) ) ) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_fold__image__insert,axiom, % 168.87/168.96 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] : % 168.87/168.96 ( class_Groups_Oab__semigroup__mult(T_c) % 168.87/168.96 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 168.87/168.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 168.87/168.96 => 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)) ) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_mult__eq__if,axiom, % 168.87/168.96 ! [V_n,V_m] : % 168.87/168.96 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 168.87/168.96 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 168.87/168.96 => 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)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__less__add__iff1,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> 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)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__less__add__iff2,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__le__add__iff1,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> 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)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__diff__add__eq1,axiom, % 168.87/168.96 ! [V_n,V_m,V_u,V_i,V_j] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 168.87/168.96 => 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) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__eq__add__iff1,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_u_2,V_i_2,V_j_2] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) % 168.87/168.96 => ( 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) % 168.87/168.96 <=> 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 ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__le__add__iff2,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> 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))) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__diff__add__eq2,axiom, % 168.87/168.96 ! [V_n,V_m,V_u,V_j,V_i] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 168.87/168.96 => 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)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__eq__add__iff2,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_u_2,V_j_2,V_i_2] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 168.87/168.96 => ( 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) % 168.87/168.96 <=> 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) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__mult__le__cancel1,axiom, % 168.87/168.96 ! [V_na_2,V_m_2,V_k_2] : % 168.87/168.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 168.87/168.96 => ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__mult__commute,axiom, % 168.87/168.96 ! [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) ). % 168.87/168.96 % 168.87/168.96 fof(fact_nat__mult__assoc,axiom, % 168.87/168.96 ! [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)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zmult__1,axiom, % 168.87/168.96 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 168.87/168.96 % 168.87/168.96 fof(fact_zmult__1__right,axiom, % 168.87/168.96 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 168.87/168.96 % 168.87/168.96 fof(fact_less__eq__number__of__int__code,axiom, % 168.87/168.96 ! [V_l_2,V_k_2] : % 168.87/168.96 ( 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))) % 168.87/168.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zmult__commute,axiom, % 168.87/168.96 ! [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) ). % 168.87/168.96 % 168.87/168.96 fof(fact_times__numeral__code_I5_J,axiom, % 168.87/168.96 ! [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)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zmult__assoc,axiom, % 168.87/168.96 ! [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)) ). % 168.87/168.96 % 168.87/168.96 fof(fact_zdiff__zmult__distrib,axiom, % 168.87/168.97 ! [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)) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zdiff__zmult__distrib2,axiom, % 168.87/168.97 ! [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)) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zadd__zmult__distrib,axiom, % 168.87/168.97 ! [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)) ). % 168.87/168.97 % 168.87/168.97 fof(fact_plus__numeral__code_I9_J,axiom, % 168.87/168.97 ! [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)) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zadd__zmult__distrib2,axiom, % 168.87/168.97 ! [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)) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zmult__zless__mono2,axiom, % 168.87/168.97 ! [V_k,V_j,V_i] : % 168.87/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 168.87/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 168.87/168.97 => 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))) ) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_pos__zmult__eq__1__iff,axiom, % 168.87/168.97 ! [V_na_2,V_m_2] : % 168.87/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2)) % 168.87/168.97 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 168.87/168.97 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 168.87/168.97 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_less__number__of__int__code,axiom, % 168.87/168.97 ! [V_l_2,V_k_2] : % 168.87/168.97 ( 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))) % 168.87/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zle__diff1__eq,axiom, % 168.87/168.97 ! [V_z_2,V_w_2] : % 168.87/168.97 ( 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)))) % 168.87/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_less__bin__lemma,axiom, % 168.87/168.97 ! [V_l_2,V_k_2] : % 168.87/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) % 168.87/168.97 <=> 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))) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_int__one__le__iff__zero__less,axiom, % 168.87/168.97 ! [V_z_2] : % 168.87/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) % 168.87/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zless__le,axiom, % 168.87/168.97 ! [V_w_2,V_z_2] : % 168.87/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2)) % 168.87/168.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2)) % 168.87/168.97 & V_z_2 != V_w_2 ) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zle__add1__eq__le,axiom, % 168.87/168.97 ! [V_z_2,V_w_2] : % 168.87/168.97 ( 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)))) % 168.87/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_add1__zle__eq,axiom, % 168.87/168.97 ! [V_z_2,V_w_2] : % 168.87/168.97 ( 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)) % 168.87/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_le__imp__0__less,axiom, % 168.87/168.97 ! [V_z] : % 168.87/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 168.87/168.97 => 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))) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zless__imp__add1__zle,axiom, % 168.87/168.97 ! [V_z,V_w] : % 168.87/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z)) % 168.87/168.97 => 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)) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zadd__zless__mono,axiom, % 168.87/168.97 ! [V_z,V_z_H,V_w,V_w_H] : % 168.87/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w)) % 168.87/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 168.87/168.97 => 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))) ) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_odd__nonzero,axiom, % 168.87/168.97 ! [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) ). % 168.87/168.97 % 168.87/168.97 fof(fact_int__0__less__1,axiom, % 168.87/168.97 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))) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zless__linear,axiom, % 168.87/168.97 ! [V_y,V_x] : % 168.87/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y)) % 168.87/168.97 | V_x = V_y % 168.87/168.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zless__add1__eq,axiom, % 168.87/168.97 ! [V_z_2,V_w_2] : % 168.87/168.97 ( 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)))) % 168.87/168.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 168.87/168.97 | V_w_2 = V_z_2 ) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_odd__less__0,axiom, % 168.87/168.97 ! [V_z_2] : % 168.87/168.97 ( 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))) % 168.87/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zadd__strict__right__mono,axiom, % 168.87/168.97 ! [V_k,V_j,V_i] : % 168.87/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 168.87/168.97 => 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))) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zadd__left__mono,axiom, % 168.87/168.97 ! [V_k,V_j,V_i] : % 168.87/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 168.87/168.97 => 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))) ) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zadd__0,axiom, % 168.87/168.97 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ). % 168.87/168.97 % 168.87/168.97 fof(fact_zadd__0__right,axiom, % 168.87/168.97 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 168.87/168.97 % 168.87/168.97 fof(fact_zadd__commute,axiom, % 168.87/168.97 ! [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) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zadd__left__commute,axiom, % 168.87/168.97 ! [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)) ). % 168.87/168.97 % 168.87/168.97 fof(fact_zadd__assoc,axiom, % 168.87/168.97 ! [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)) ). % 168.87/168.97 % 169.06/168.97 fof(fact_zle__antisym,axiom, % 169.06/168.97 ! [V_w,V_z] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) % 169.06/168.97 => V_z = V_w ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zle__trans,axiom, % 169.06/168.97 ! [V_k,V_j,V_i] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k)) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zle__linear,axiom, % 169.06/168.97 ! [V_w,V_z] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w)) % 169.06/168.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zle__refl,axiom, % 169.06/168.97 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__mult__eq__cancel__disj,axiom, % 169.06/168.97 ! [V_na_2,V_m_2,V_k_2] : % 169.06/168.97 ( 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) % 169.06/168.97 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.06/168.97 | V_m_2 = V_na_2 ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_left__add__mult__distrib,axiom, % 169.06/168.97 ! [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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__mult__eq__cancel1,axiom, % 169.06/168.97 ! [V_na_2,V_m_2,V_k_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 169.06/168.97 => ( 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) % 169.06/168.97 <=> V_m_2 = V_na_2 ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__mult__less__cancel1,axiom, % 169.06/168.97 ! [V_na_2,V_m_2,V_k_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zdiv__mono2__neg__lemma,axiom, % 169.06/168.97 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 169.06/168.97 ( 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) % 169.06/168.97 => ( 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))) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_unique__quotient__lemma__neg,axiom, % 169.06/168.97 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 169.06/168.97 ( 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))) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H)) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zdiv__mono2__lemma,axiom, % 169.06/168.97 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 169.06/168.97 ( 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) % 169.06/168.97 => ( 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))) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_unique__quotient__lemma,axiom, % 169.06/168.97 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 169.06/168.97 ( 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))) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_q__neg__lemma,axiom, % 169.06/168.97 ! [V_r_H,V_q_H,V_b_H] : % 169.06/168.97 ( 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))) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_q__pos__lemma,axiom, % 169.06/168.97 ! [V_r_H,V_q_H,V_b_H] : % 169.06/168.97 ( 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))) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_self__quotient__aux1,axiom, % 169.06/168.97 ! [V_q,V_r,V_a] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.06/168.97 => ( 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)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a)) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_self__quotient__aux2,axiom, % 169.06/168.97 ! [V_q,V_r,V_a] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.06/168.97 => ( 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)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_number__of__is__id,axiom, % 169.06/168.97 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__0__neq__1,axiom, % 169.06/168.97 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 169.06/168.97 ! [V_y,V_x] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.06/168.97 => 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))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 169.06/168.97 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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 169.06/168.97 ! [V_y,V_x] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.06/168.97 => 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))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_pair__box_Osize_I2_J,axiom, % 169.06/168.97 ! [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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_pair__box_Orecs,axiom, % 169.06/168.97 ! [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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_pair__box_Osimps_I2_J,axiom, % 169.06/168.97 ! [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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 169.06/168.97 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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__number__of__lemma,axiom, % 169.06/168.97 ! [V_v,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => ( ( 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))) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ 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))) % 169.06/168.97 => 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) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__eq__iff,axiom, % 169.06/168.97 ! [V_na_2,V_m_2,T_b] : % 169.06/168.97 ( class_Nat_Osemiring__char__0(T_b) % 169.06/168.97 => ( 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) % 169.06/168.97 <=> V_m_2 = V_na_2 ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__nat__int__set__relations_I1_J,axiom, % 169.06/168.97 ! [V_A_2] : % 169.06/168.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2)) % 169.06/168.97 <=> 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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__int__nat__numerals_I1_J,axiom, % 169.06/168.97 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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom, % 169.06/168.97 ! [V_Pa_2] : % 169.06/168.97 ( ! [B_x] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 169.06/168.97 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.06/168.97 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom, % 169.06/168.97 ! [V_Pa_2] : % 169.06/168.97 ( ? [B_x] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 169.06/168.97 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.06/168.97 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom, % 169.06/168.97 ! [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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__int__nat__relations_I2_J,axiom, % 169.06/168.97 ! [V_y_2,V_x_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__int__nat__relations_I3_J,axiom, % 169.06/168.97 ! [V_y_2,V_x_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__int__nat__numerals_I2_J,axiom, % 169.06/168.97 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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__eq__0__conv,axiom, % 169.06/168.97 ! [V_na_2] : % 169.06/168.97 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_na_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.06/168.97 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__0,axiom, % 169.06/168.97 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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zero__zle__int,axiom, % 169.06/168.97 ! [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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__less__0__conv,axiom, % 169.06/168.97 ! [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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zless__int,axiom, % 169.06/168.97 ! [V_na_2,V_m_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zle__int,axiom, % 169.06/168.97 ! [V_na_2,V_m_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zadd__int__left,axiom, % 169.06/168.97 ! [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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zadd__int,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zle__iff__zadd,axiom, % 169.06/168.97 ! [V_z_2,V_w_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) % 169.06/168.97 <=> ? [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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zero__le__imp__of__nat,axiom, % 169.06/168.97 ! [V_m,T_a] : % 169.06/168.97 ( class_Rings_Olinordered__semidom(T_a) % 169.06/168.97 => 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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__0__le__iff,axiom, % 169.06/168.97 ! [V_n,T_a] : % 169.06/168.97 ( class_Rings_Olinordered__semidom(T_a) % 169.06/168.97 => 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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__less__0__iff,axiom, % 169.06/168.97 ! [V_m,T_a] : % 169.06/168.97 ( class_Rings_Olinordered__semidom(T_a) % 169.06/168.97 => ~ 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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__mult,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zmult__int,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__0,axiom, % 169.06/168.97 ! [T_a] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_a) % 169.06/168.97 => 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) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__less__iff,axiom, % 169.06/168.97 ! [V_na_2,V_m_2,T_b] : % 169.06/168.97 ( class_Rings_Olinordered__semidom(T_b) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_less__imp__of__nat__less,axiom, % 169.06/168.97 ! [V_n,V_m,T_a] : % 169.06/168.97 ( class_Rings_Olinordered__semidom(T_a) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 169.06/168.97 => 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))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__less__imp__less,axiom, % 169.06/168.97 ! [V_n,V_m,T_a] : % 169.06/168.97 ( class_Rings_Olinordered__semidom(T_a) % 169.06/168.97 => ( 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))) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__1,axiom, % 169.06/168.97 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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__le__iff,axiom, % 169.06/168.97 ! [V_na_2,V_m_2,T_b] : % 169.06/168.97 ( class_Rings_Olinordered__semidom(T_b) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__add,axiom, % 169.06/168.97 ! [V_n,V_m,T_a] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__mult,axiom, % 169.06/168.97 ! [V_n,V_m,T_a] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__1,axiom, % 169.06/168.97 ! [T_a] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_a) % 169.06/168.97 => 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) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Ints__of__nat,axiom, % 169.06/168.97 ! [V_na_2,T_b] : % 169.06/168.97 ( class_Rings_Oring__1(T_b) % 169.06/168.97 => 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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__le__0__conv,axiom, % 169.06/168.97 ! [V_na_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__Suc0__eq__1,axiom, % 169.06/168.97 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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zless__iff__Suc__zadd,axiom, % 169.06/168.97 ! [V_z_2,V_w_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) % 169.06/168.97 <=> ? [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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__Suc,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zdiff__int,axiom, % 169.06/168.97 ! [V_m,V_n] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__Suc,axiom, % 169.06/168.97 ! [V_m,T_a] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__diff,axiom, % 169.06/168.97 ! [V_m,V_n,T_a] : % 169.06/168.97 ( class_Rings_Oring__1(T_a) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zero__less__int__conv,axiom, % 169.06/168.97 ! [V_na_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zmult__zless__mono2__lemma,axiom, % 169.06/168.97 ! [V_k,V_j,V_i] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 169.06/168.97 => 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))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__0__less__iff,axiom, % 169.06/168.97 ! [V_na_2,T_b] : % 169.06/168.97 ( class_Rings_Olinordered__semidom(T_b) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zdiff__int__split,axiom, % 169.06/168.97 ! [V_y_2,V_x_2,V_Pa_2] : % 169.06/168.97 ( 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)))) % 169.06/168.97 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2)) % 169.06/168.97 => 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)))) ) % 169.06/168.97 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 169.06/168.97 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_semiring__1__class_Oof__nat__code,axiom, % 169.06/168.97 ! [V_na_2,T_b] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_b) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_tsub__def,axiom, % 169.06/168.97 ! [V_x,V_y] : % 169.06/168.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 169.06/168.97 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 169.06/168.97 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__number__of__eq,axiom, % 169.06/168.97 ! [V_v,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.06/168.97 => 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) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_fold1__insert,axiom, % 169.06/168.97 ! [V_x_2,V_A_2,T_b] : % 169.06/168.97 ( class_Groups_Oab__semigroup__mult(T_b) % 169.06/168.97 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.06/168.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.06/168.97 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.06/168.97 => 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)) ) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_mult__nat__number__of,axiom, % 169.06/168.97 ! [V_v_H,V_v] : % 169.06/168.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__number__of__mult__left,axiom, % 169.06/168.97 ! [V_k,V_v_H,V_v] : % 169.06/168.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => 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) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_fold__image__1,axiom, % 169.06/168.97 ! [V_f_2,V_S_2,T_b,T_c] : % 169.06/168.97 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.06/168.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.06/168.97 => ( ! [B_x] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 169.06/168.97 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 169.06/168.97 => 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) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom, % 169.06/168.97 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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__int__eq,axiom, % 169.06/168.97 ! [V_na_2,V_m_2] : % 169.06/168.97 ( 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) % 169.06/168.97 <=> V_m_2 = V_na_2 ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_not__neg__int,axiom, % 169.06/168.97 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__int__nat__relations_I1_J,axiom, % 169.06/168.97 ! [V_y_2,V_x_2] : % 169.06/168.97 ( 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) % 169.06/168.97 <=> V_x_2 = V_y_2 ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__nat__int__set__relations_I3_J,axiom, % 169.06/168.97 ! [V_B_2,V_A_2] : % 169.06/168.97 ( V_A_2 = V_B_2 % 169.06/168.97 <=> 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) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__nat__int__set__relations_I2_J,axiom, % 169.06/168.97 ! [V_A_2,V_x_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2)) % 169.06/168.97 <=> 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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__nat__int__set__relations_I4_J,axiom, % 169.06/168.97 ! [V_B_2,V_A_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.06/168.97 <=> 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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__nat__int__set__relations_I5_J,axiom, % 169.06/168.97 ! [V_B_2,V_A_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.06/168.97 <=> 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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_not__neg__number__of__Pls,axiom, % 169.06/168.97 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Pls__def,axiom, % 169.06/168.97 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I19_J,axiom, % 169.06/168.97 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I2_J,axiom, % 169.06/168.97 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_add__Pls__right,axiom, % 169.06/168.97 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 169.06/168.97 % 169.06/168.97 fof(fact_add__Pls,axiom, % 169.06/168.97 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ). % 169.06/168.97 % 169.06/168.97 fof(fact_mult__Pls,axiom, % 169.06/168.97 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ). % 169.06/168.97 % 169.06/168.97 fof(fact_diff__bin__simps_I1_J,axiom, % 169.06/168.97 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ). % 169.06/168.97 % 169.06/168.97 fof(fact_not__neg__0,axiom, % 169.06/168.97 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_not__neg__1,axiom, % 169.06/168.97 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_number__of__Pls,axiom, % 169.06/168.97 ! [T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_semiring__norm_I112_J,axiom, % 169.06/168.97 ! [T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_add__numeral__0,axiom, % 169.06/168.97 ! [V_a,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => 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 ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_add__numeral__0__right,axiom, % 169.06/168.97 ! [V_a,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => 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 ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_number__of2,axiom, % 169.06/168.97 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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_bin__less__0__simps_I1_J,axiom, % 169.06/168.97 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_semiring__norm_I113_J,axiom, % 169.06/168.97 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__number__of__Pls,axiom, % 169.06/168.97 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zero__is__num__zero,axiom, % 169.06/168.97 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ). % 169.06/168.97 % 169.06/168.97 fof(fact_fold1__singleton,axiom, % 169.06/168.97 ! [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 ). % 169.06/168.97 % 169.06/168.97 fof(fact_fold1__singleton__def,axiom, % 169.06/168.97 ! [V_a_2,V_f_2,T_b,V_g_2] : % 169.06/168.97 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2) % 169.06/168.97 => 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 ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_not__neg__eq__ge__0,axiom, % 169.06/168.97 ! [V_x_2] : % 169.06/168.97 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2)) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_neg__def,axiom, % 169.06/168.97 ! [V_Z_2] : % 169.06/168.97 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2)) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_folding__one_Oeq__fold,axiom, % 169.06/168.97 ! [V_A_2,V_F_2,V_f_2,T_b] : % 169.06/168.97 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 169.06/168.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.06/168.97 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__aux_Osimps_I1_J,axiom, % 169.06/168.97 ! [V_i_2,V_inc_2,T_b] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_b) % 169.06/168.97 => 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 ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__aux_Osimps_I2_J,axiom, % 169.06/168.97 ! [V_i_2,V_na_2,V_inc_2,T_b] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_b) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_eq__0__number__of,axiom, % 169.06/168.97 ! [V_v_2] : % 169.06/168.97 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_eq__number__of__0,axiom, % 169.06/168.97 ! [V_v_2] : % 169.06/168.97 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_less__nat__number__of,axiom, % 169.06/168.97 ! [V_v_H_2,V_v_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) ) % 169.06/168.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_le__nat__number__of,axiom, % 169.06/168.97 ! [V_v_H_2,V_v_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2)) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_fold1__def,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_neg__imp__number__of__eq__0,axiom, % 169.06/168.97 ! [V_v] : % 169.06/168.97 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.06/168.97 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__nat__number__of,axiom, % 169.06/168.97 ! [V_v] : % 169.06/168.97 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.06/168.97 => 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) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_le__special_I3_J,axiom, % 169.06/168.97 ! [V_x_2,T_b] : % 169.06/168.97 ( ( class_Int_Onumber__ring(T_b) % 169.06/168.97 & class_Rings_Olinordered__idom(T_b) ) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_le__special_I1_J,axiom, % 169.06/168.97 ! [V_y_2,T_b] : % 169.06/168.97 ( ( class_Int_Onumber__ring(T_b) % 169.06/168.97 & class_Rings_Olinordered__idom(T_b) ) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_less__special_I3_J,axiom, % 169.06/168.97 ! [V_x_2,T_b] : % 169.06/168.97 ( ( class_Int_Onumber__ring(T_b) % 169.06/168.97 & class_Rings_Olinordered__idom(T_b) ) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_less__special_I1_J,axiom, % 169.06/168.97 ! [V_y_2,T_b] : % 169.06/168.97 ( ( class_Int_Onumber__ring(T_b) % 169.06/168.97 & class_Rings_Olinordered__idom(T_b) ) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_less__0__number__of,axiom, % 169.06/168.97 ! [V_v_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_add__nat__number__of,axiom, % 169.06/168.97 ! [V_v_H,V_v] : % 169.06/168.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls)) % 169.06/168.97 => 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)) ) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_fold1__insert__idem,axiom, % 169.06/168.97 ! [V_x_2,V_A_2,T_b] : % 169.06/168.97 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 169.06/168.97 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.06/168.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.06/168.97 => 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)) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_eq__nat__number__of,axiom, % 169.06/168.97 ! [V_v_H_2,V_v_2] : % 169.06/168.97 ( 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) % 169.06/168.97 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 169.06/168.97 => 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))) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) % 169.06/168.97 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 169.06/168.97 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2))) % 169.06/168.97 => V_v_2 = V_v_H_2 ) ) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__number__of__add__left,axiom, % 169.06/168.97 ! [V_k,V_v_H,V_v] : % 169.06/168.97 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.06/168.97 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 169.06/168.97 => 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) ) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 169.06/168.97 ! [V_y,V_x] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.06/168.97 => 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))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_tsub__eq,axiom, % 169.06/168.97 ! [V_x,V_y] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x)) % 169.06/168.97 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Suc__nat__number__of__add,axiom, % 169.06/168.97 ! [V_n,V_v] : % 169.06/168.97 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.06/168.97 => 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) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Suc__nat__number__of,axiom, % 169.06/168.97 ! [V_v] : % 169.06/168.97 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.06/168.97 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__number__of__add__1,axiom, % 169.06/168.97 ! [V_v] : % 169.06/168.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__1__add__number__of,axiom, % 169.06/168.97 ! [V_v] : % 169.06/168.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__number__of__diff__1,axiom, % 169.06/168.97 ! [V_v] : % 169.06/168.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_fold1__in,axiom, % 169.06/168.97 ! [V_A_2,T_b] : % 169.06/168.97 ( class_Groups_Oab__semigroup__mult(T_b) % 169.06/168.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.06/168.97 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.06/168.97 => ( ! [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)))))) % 169.06/168.97 => 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)) ) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nats__number__of,axiom, % 169.06/168.97 ! [V_w_2,T_b] : % 169.06/168.97 ( class_Int_Onumber__ring(T_b) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2)) % 169.06/168.97 => 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))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Suc__diff__number__of,axiom, % 169.06/168.97 ! [V_m,V_v] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v)) % 169.06/168.97 => 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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_succ__pred,axiom, % 169.06/168.97 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ). % 169.06/168.97 % 169.06/168.97 fof(fact_le__iff__pred__less,axiom, % 169.06/168.97 ! [V_l_2,V_k_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_pred__def,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_succ__def,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nats__0,axiom, % 169.06/168.97 ! [T_b] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_b) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nats__add,axiom, % 169.06/168.97 ! [V_b_2,V_a_2,T_b] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_b) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 169.06/168.97 => 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))) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nats__mult,axiom, % 169.06/168.97 ! [V_b_2,V_a_2,T_b] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_b) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b))) % 169.06/168.97 => 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))) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nats__1,axiom, % 169.06/168.97 ! [T_b] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_b) % 169.06/168.97 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__in__Nats,axiom, % 169.06/168.97 ! [V_na_2,T_b] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_b) % 169.06/168.97 => 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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_number__of__succ,axiom, % 169.06/168.97 ! [V_k,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_neg__number__of__pred__iff__0,axiom, % 169.06/168.97 ! [V_v_2] : % 169.06/168.97 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2)))) % 169.06/168.97 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__case__add__eq__if,axiom, % 169.06/168.97 ! [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)))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_le__Suc__number__of,axiom, % 169.06/168.97 ! [V_v_2,V_na_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> 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))))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_le__number__of__Suc,axiom, % 169.06/168.97 ! [V_na_2,V_v_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> 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)))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_less__number__of__Suc,axiom, % 169.06/168.97 ! [V_na_2,V_v_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> 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)))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_less__Suc__number__of,axiom, % 169.06/168.97 ! [V_v_2,V_na_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> 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))))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_decr__mult__lemma,axiom, % 169.06/168.97 ! [V_k_2,V_Pa_2,V_d_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 169.06/168.97 => ( ! [B_x] : % 169.06/168.97 ( hBOOL(hAPP(V_Pa_2,B_x)) % 169.06/168.97 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) ) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 169.06/168.97 => ! [B_x] : % 169.06/168.97 ( hBOOL(hAPP(V_Pa_2,B_x)) % 169.06/168.97 => 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)))) ) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__number__of__Bit1,axiom, % 169.06/168.97 ! [V_w_2] : % 169.06/168.97 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 169.06/168.97 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) % 169.06/168.97 => 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)))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_hom__fold1__commute,axiom, % 169.06/168.97 ! [V_N_2,V_h_2,T_b] : % 169.06/168.97 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 169.06/168.97 => ( ! [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)) % 169.06/168.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 169.06/168.97 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.06/168.97 => 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)) ) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I51_J,axiom, % 169.06/168.97 ! [V_l_2,V_k_2] : % 169.06/168.97 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2) % 169.06/168.97 <=> V_k_2 = V_l_2 ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I34_J,axiom, % 169.06/168.97 ! [V_l_2,V_k_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_less__eq__int__code_I16_J,axiom, % 169.06/168.97 ! [V_k2_2,V_k1_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_less__int__code_I16_J,axiom, % 169.06/168.97 ! [V_k2_2,V_k1_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I17_J,axiom, % 169.06/168.97 ! [V_l_2,V_k_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__int,axiom, % 169.06/168.97 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I39_J,axiom, % 169.06/168.97 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I46_J,axiom, % 169.06/168.97 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__nat__int__numerals_I4_J,axiom, % 169.06/168.97 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)))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__0,axiom, % 169.06/168.97 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__nat__int__numerals_I1_J,axiom, % 169.06/168.97 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_eq__nat__nat__iff,axiom, % 169.06/168.97 ! [V_z_H_2,V_z_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2)) % 169.06/168.97 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2) % 169.06/168.97 <=> V_z_2 = V_z_H_2 ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_ex__nat,axiom, % 169.06/168.97 ! [V_Pa_2] : % 169.06/168.97 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 169.06/168.97 <=> ? [B_x] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 169.06/168.97 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_all__nat,axiom, % 169.06/168.97 ! [V_Pa_2] : % 169.06/168.97 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 169.06/168.97 <=> ! [B_x] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 169.06/168.97 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__nat__int__relations_I1_J,axiom, % 169.06/168.97 ! [V_y_2,V_x_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 169.06/168.97 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2) % 169.06/168.97 <=> V_x_2 = V_y_2 ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_bin__less__0__simps_I4_J,axiom, % 169.06/168.97 ! [V_w_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__number__of,axiom, % 169.06/168.97 ! [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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__number__of__def,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I22_J,axiom, % 169.06/168.97 ! [V_k_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I12_J,axiom, % 169.06/168.97 ! [V_k_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__nat__int__numerals_I2_J,axiom, % 169.06/168.97 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Bit1__def,axiom, % 169.06/168.97 ! [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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_neg__nat,axiom, % 169.06/168.97 ! [V_z] : % 169.06/168.97 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 169.06/168.97 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_not__neg__nat,axiom, % 169.06/168.97 ! [V_z] : % 169.06/168.97 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z)) % 169.06/168.97 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_neg__number__of__Bit1,axiom, % 169.06/168.97 ! [V_w_2] : % 169.06/168.97 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2)))) % 169.06/168.97 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__int__nat__set__return__embed,axiom, % 169.06/168.97 ! [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 ). % 169.06/168.97 % 169.06/168.97 fof(fact_succ__Pls,axiom, % 169.06/168.97 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom, % 169.06/168.97 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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__0__iff,axiom, % 169.06/168.97 ! [V_i_2] : % 169.06/168.97 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__le__0,axiom, % 169.06/168.97 ! [V_z] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.06/168.97 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zless__nat__conj,axiom, % 169.06/168.97 ! [V_z_2,V_w_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 169.06/168.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__mono__iff,axiom, % 169.06/168.97 ! [V_w_2,V_z_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_number__of__Bit1,axiom, % 169.06/168.97 ! [V_w,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__nat__int__relations_I3_J,axiom, % 169.06/168.97 ! [V_y_2,V_x_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__1,axiom, % 169.06/168.97 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_mult__numeral__1__right,axiom, % 169.06/168.97 ! [V_a,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => 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 ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_mult__numeral__1,axiom, % 169.06/168.97 ! [V_a,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => 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 ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__nat__eq,axiom, % 169.06/168.97 ! [V_z] : % 169.06/168.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 169.06/168.97 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 169.06/168.97 => 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) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__eq__iff,axiom, % 169.06/168.97 ! [V_z_2,V_m_2] : % 169.06/168.97 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2 % 169.06/168.97 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2) % 169.06/168.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__0__le,axiom, % 169.06/168.97 ! [V_z] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 169.06/168.97 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zless__nat__eq__int__zless,axiom, % 169.06/168.97 ! [V_z_2,V_m_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2))) % 169.06/168.97 <=> 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_semiring__norm_I110_J,axiom, % 169.06/168.97 ! [T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_numeral__1__eq__1,axiom, % 169.06/168.97 ! [T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I29_J,axiom, % 169.06/168.97 ! [V_k_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls)) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I5_J,axiom, % 169.06/168.97 ! [V_k_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_one__is__num__one,axiom, % 169.06/168.97 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__numeral__1__eq__1,axiom, % 169.06/168.97 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Numeral1__eq1__nat,axiom, % 169.06/168.97 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zero__less__nat__eq,axiom, % 169.06/168.97 ! [V_z_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__less__eq__zless,axiom, % 169.06/168.97 ! [V_z_2,V_w_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__nat__int__relations_I2_J,axiom, % 169.06/168.97 ! [V_y_2,V_x_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2)) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__eq__iff,axiom, % 169.06/168.97 ! [V_m_2,V_w_2] : % 169.06/168.97 ( hAPP(c_Int_Onat,V_w_2) = V_m_2 % 169.06/168.97 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 169.06/168.97 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 169.06/168.97 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__eq__iff2,axiom, % 169.06/168.97 ! [V_w_2,V_m_2] : % 169.06/168.97 ( V_m_2 = hAPP(c_Int_Onat,V_w_2) % 169.06/168.97 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 169.06/168.97 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 169.06/168.97 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__le__eq__zle,axiom, % 169.06/168.97 ! [V_z_2,V_w_2] : % 169.06/168.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 169.06/168.97 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_split__nat,axiom, % 169.06/168.97 ! [V_i_2,V_Pa_2] : % 169.06/168.97 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2))) % 169.06/168.97 <=> ( ! [B_n] : % 169.06/168.97 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) % 169.06/168.97 => hBOOL(hAPP(V_Pa_2,B_n)) ) % 169.06/168.97 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.06/168.97 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__add__distrib,axiom, % 169.06/168.97 ! [V_z_H,V_z] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom, % 169.06/168.97 ! [V_y,V_x] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__eq__iff__number__of,axiom, % 169.06/168.97 ! [V_v_2,V_m_2] : % 169.06/168.97 ( 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) % 169.06/168.97 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)) % 169.06/168.97 & 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))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__mult__distrib,axiom, % 169.06/168.97 ! [V_z_H,V_z] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom, % 169.06/168.97 ! [V_y,V_x] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__diff__distrib,axiom, % 169.06/168.97 ! [V_z,V_z_H] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_numeral__3__eq__3,axiom, % 169.06/168.97 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)))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_numeral__1__eq__Suc__0,axiom, % 169.06/168.97 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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom, % 169.06/168.97 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))))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Suc3__eq__add__3,axiom, % 169.06/168.97 ! [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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__int__nat__numerals_I4_J,axiom, % 169.06/168.97 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)))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom, % 169.06/168.97 ! [V_y,V_x] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_diff__nat__eq__if,axiom, % 169.06/168.97 ! [V_z_2,V_z_H_2] : % 169.06/168.97 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_one__less__nat__eq,axiom, % 169.06/168.97 ! [V_z_2] : % 169.06/168.97 ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__less__iff,axiom, % 169.06/168.97 ! [V_m_2,V_w_2] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2)) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2)) % 169.06/168.97 <=> 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))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_le__special_I2_J,axiom, % 169.06/168.97 ! [V_y_2,T_b] : % 169.06/168.97 ( ( class_Int_Onumber__ring(T_b) % 169.06/168.97 & class_Rings_Olinordered__idom(T_b) ) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_le__special_I4_J,axiom, % 169.06/168.97 ! [V_x_2,T_b] : % 169.06/168.97 ( ( class_Int_Onumber__ring(T_b) % 169.06/168.97 & class_Rings_Olinordered__idom(T_b) ) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Suc__nat__eq__nat__zadd1,axiom, % 169.06/168.97 ! [V_z] : % 169.06/168.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_less__special_I4_J,axiom, % 169.06/168.97 ! [V_x_2,T_b] : % 169.06/168.97 ( ( class_Int_Onumber__ring(T_b) % 169.06/168.97 & class_Rings_Olinordered__idom(T_b) ) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_less__special_I2_J,axiom, % 169.06/168.97 ! [V_y_2,T_b] : % 169.06/168.97 ( ( class_Int_Onumber__ring(T_b) % 169.06/168.97 & class_Rings_Olinordered__idom(T_b) ) % 169.06/168.97 => ( 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))) % 169.06/168.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_add__special_I2_J,axiom, % 169.06/168.97 ! [V_w,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_add__special_I3_J,axiom, % 169.06/168.97 ! [V_v,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => 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))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Suc__diff__eq__diff__pred,axiom, % 169.06/168.97 ! [V_m,V_n] : % 169.06/168.97 ( 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)) % 169.06/168.97 => 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)))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Suc__eq__number__of,axiom, % 169.06/168.97 ! [V_v_2,V_na_2] : % 169.06/168.97 ( hAPP(c_Nat_OSuc,V_na_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) % 169.06/168.97 <=> 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))))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_eq__number__of__Suc,axiom, % 169.06/168.97 ! [V_na_2,V_v_2] : % 169.06/168.97 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_na_2) % 169.06/168.97 <=> 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))))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__case__number__of,axiom, % 169.06/168.97 ! [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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__aux__def,axiom, % 169.06/168.97 ! [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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__rec__add__eq__if,axiom, % 169.06/168.97 ! [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))))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_nat__rec__number__of,axiom, % 169.06/168.97 ! [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)))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_transfer__morphism__nat__int,axiom, % 169.06/168.97 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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_diff__nat__number__of,axiom, % 169.06/168.97 ! [V_v_2,V_v_H_2] : % 169.06/168.97 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 169.06/168.97 => 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) ) % 169.06/168.97 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls)) % 169.06/168.97 => 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)) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_of__nat__double,axiom, % 169.06/168.97 ! [V_x,T_a] : % 169.06/168.97 ( class_Rings_Osemiring__1(T_a) % 169.06/168.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.06/168.97 => 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))) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_power__number__of__odd__number__of,axiom, % 169.06/168.97 ! [V_v_2,V_w_2,T_b] : % 169.06/168.97 ( class_Int_Onumber__ring(T_b) % 169.06/168.97 => ( ( 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))) % 169.06/168.97 => 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))) ) % 169.06/168.97 & ( ~ 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))) % 169.06/168.97 => 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) ) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_min__Suc__number__of,axiom, % 169.06/168.97 ! [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)))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_inj__uminus,axiom, % 169.06/168.97 ! [V_A_2,T_b] : % 169.06/168.97 ( class_Groups_Oordered__ab__group__add(T_b) % 169.06/168.97 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_negative__zle,axiom, % 169.06/168.97 ! [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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_negative__zless,axiom, % 169.06/168.97 ! [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))) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zpower__int,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_int__power,axiom, % 169.06/168.97 ! [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) ). % 169.06/168.97 % 169.06/168.97 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_arith__simps_I30_J,axiom, % 169.06/168.97 ! [V_w,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_number__of__minus,axiom, % 169.06/168.97 ! [V_w,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_rel__simps_I48_J,axiom, % 169.06/168.97 ! [V_l_2,V_k_2] : % 169.06/168.97 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2) % 169.06/168.97 <=> V_k_2 = V_l_2 ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_minus__Bit0,axiom, % 169.06/168.97 ! [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)) ). % 169.06/168.97 % 169.06/168.97 fof(fact_zminus__zminus,axiom, % 169.06/168.97 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ). % 169.06/168.97 % 169.06/168.97 fof(fact_min__max_Oinf__assoc,axiom, % 169.06/168.97 ! [V_z,V_y,V_x,T_a] : % 169.06/168.97 ( class_Orderings_Olinorder(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_min__max_Oinf_Oassoc,axiom, % 169.06/168.97 ! [V_c,V_b,V_a,T_a] : % 169.06/168.97 ( class_Orderings_Olinorder(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_compl__eq__compl__iff,axiom, % 169.06/168.97 ! [V_y_2,V_x_2,T_b] : % 169.06/168.97 ( class_Lattices_Oboolean__algebra(T_b) % 169.06/168.97 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2) % 169.06/168.97 <=> V_x_2 = V_y_2 ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_neg__equal__iff__equal,axiom, % 169.06/168.97 ! [V_b_2,V_a_2,T_b] : % 169.06/168.97 ( class_Groups_Ogroup__add(T_b) % 169.06/168.97 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 169.06/168.97 <=> V_a_2 = V_b_2 ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_minus__equation__iff,axiom, % 169.06/168.97 ! [V_b_2,V_a_2,T_b] : % 169.06/168.97 ( class_Groups_Ogroup__add(T_b) % 169.06/168.97 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2 % 169.06/168.97 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_min__max_Oinf__left__commute,axiom, % 169.06/168.97 ! [V_z,V_y,V_x,T_a] : % 169.06/168.97 ( class_Orderings_Olinorder(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_min__max_Oinf_Oleft__commute,axiom, % 169.06/168.97 ! [V_c,V_a,V_b,T_a] : % 169.06/168.97 ( class_Orderings_Olinorder(T_a) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_min__max_Oinf__left__idem,axiom, % 169.06/168.97 ! [V_y,V_x,T_a] : % 169.06/168.97 ( class_Orderings_Olinorder(T_a) % 169.06/168.97 => 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) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_min__max_Oinf_Oleft__idem,axiom, % 169.06/168.97 ! [V_b,V_a,T_a] : % 169.06/168.97 ( class_Orderings_Olinorder(T_a) % 169.06/168.97 => 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) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_equation__minus__iff,axiom, % 169.06/168.97 ! [V_b_2,V_a_2,T_b] : % 169.06/168.97 ( class_Groups_Ogroup__add(T_b) % 169.06/168.97 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 169.06/168.97 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_min__max_Oinf__commute,axiom, % 169.06/168.97 ! [V_y,V_x,T_a] : % 169.06/168.97 ( class_Orderings_Olinorder(T_a) % 169.06/168.97 => 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) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_min__max_Oinf_Ocommute,axiom, % 169.06/168.97 ! [V_b,V_a,T_a] : % 169.06/168.97 ( class_Orderings_Olinorder(T_a) % 169.06/168.97 => 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) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_uminus__apply,axiom, % 169.06/168.97 ! [V_x_2,V_A_2,T_c,T_b] : % 169.06/168.97 ( class_Groups_Ouminus(T_b) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_min__max_Oinf_Oidem,axiom, % 169.06/168.97 ! [V_a,T_a] : % 169.06/168.97 ( class_Orderings_Olinorder(T_a) % 169.06/168.97 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_double__compl,axiom, % 169.06/168.97 ! [V_x,T_a] : % 169.06/168.97 ( class_Lattices_Oboolean__algebra(T_a) % 169.06/168.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_minus__minus,axiom, % 169.06/168.97 ! [V_a,T_a] : % 169.06/168.97 ( class_Groups_Ogroup__add(T_a) % 169.06/168.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_fun__Compl__def,axiom, % 169.06/168.97 ! [V_x_2,V_A_2,T_c,T_b] : % 169.06/168.97 ( class_Groups_Ouminus(T_b) % 169.06/168.97 => 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)) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_power2__minus,axiom, % 169.06/168.97 ! [V_a,T_a] : % 169.06/168.97 ( class_Rings_Oring__1(T_a) % 169.06/168.97 => 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)))) ) ). % 169.06/168.97 % 169.06/168.97 fof(fact_minus__number__of__mult,axiom, % 169.06/168.97 ! [V_z,V_w,T_a] : % 169.06/168.97 ( class_Int_Onumber__ring(T_a) % 169.06/168.98 => 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) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_compl__mono,axiom, % 169.06/168.98 ! [V_y,V_x,T_a] : % 169.06/168.98 ( class_Lattices_Oboolean__algebra(T_a) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 169.06/168.98 => 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))) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_le__imp__neg__le,axiom, % 169.06/168.98 ! [V_b,V_a,T_a] : % 169.06/168.98 ( class_Groups_Oordered__ab__group__add(T_a) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 169.06/168.98 => 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))) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_compl__le__compl__iff,axiom, % 169.06/168.98 ! [V_y_2,V_x_2,T_b] : % 169.06/168.98 ( class_Lattices_Oboolean__algebra(T_b) % 169.06/168.98 => ( 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))) % 169.06/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_neg__le__iff__le,axiom, % 169.06/168.98 ! [V_a_2,V_b_2,T_b] : % 169.06/168.98 ( class_Groups_Oordered__ab__group__add(T_b) % 169.06/168.98 => ( 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))) % 169.06/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__le__iff,axiom, % 169.06/168.98 ! [V_b_2,V_a_2,T_b] : % 169.06/168.98 ( class_Groups_Oordered__ab__group__add(T_b) % 169.06/168.98 => ( 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)) % 169.06/168.98 <=> 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)) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_le__minus__iff,axiom, % 169.06/168.98 ! [V_b_2,V_a_2,T_b] : % 169.06/168.98 ( class_Groups_Oordered__ab__group__add(T_b) % 169.06/168.98 => ( 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))) % 169.06/168.98 <=> 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))) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__le__iff__disj,axiom, % 169.06/168.98 ! [V_z_2,V_y_2,V_x_2,T_b] : % 169.06/168.98 ( class_Orderings_Olinorder(T_b) % 169.06/168.98 => ( 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)) % 169.06/168.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 169.06/168.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Ole__infE,axiom, % 169.06/168.98 ! [V_b,V_a,V_x,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => ( 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))) % 169.06/168.98 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 169.06/168.98 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Oinf__mono,axiom, % 169.06/168.98 ! [V_d,V_b,V_c,V_a,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 169.06/168.98 => 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))) ) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Oinf__greatest,axiom, % 169.06/168.98 ! [V_z,V_y,V_x,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 169.06/168.98 => 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))) ) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Ole__infI,axiom, % 169.06/168.98 ! [V_b,V_a,V_x,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 169.06/168.98 => 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))) ) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Oinf__absorb2,axiom, % 169.06/168.98 ! [V_x,V_y,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 169.06/168.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Oinf__absorb1,axiom, % 169.06/168.98 ! [V_y,V_x,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 169.06/168.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Ole__infI2,axiom, % 169.06/168.98 ! [V_a,V_x,V_b,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 169.06/168.98 => 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)) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Ole__infI1,axiom, % 169.06/168.98 ! [V_b,V_x,V_a,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 169.06/168.98 => 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)) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Ole__inf__iff,axiom, % 169.06/168.98 ! [V_z_2,V_y_2,V_x_2,T_b] : % 169.06/168.98 ( class_Orderings_Olinorder(T_b) % 169.06/168.98 => ( 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))) % 169.06/168.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 169.06/168.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Ole__iff__inf,axiom, % 169.06/168.98 ! [V_y_2,V_x_2,T_b] : % 169.06/168.98 ( class_Orderings_Olinorder(T_b) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 169.06/168.98 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Oinf__le2,axiom, % 169.06/168.98 ! [V_y,V_x,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Oinf__le1,axiom, % 169.06/168.98 ! [V_y,V_x,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_neg__equal__zero,axiom, % 169.06/168.98 ! [V_a_2,T_b] : % 169.06/168.98 ( class_Groups_Olinordered__ab__group__add(T_b) % 169.06/168.98 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2 % 169.06/168.98 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_neg__equal__0__iff__equal,axiom, % 169.06/168.98 ! [V_a_2,T_b] : % 169.06/168.98 ( class_Groups_Ogroup__add(T_b) % 169.06/168.98 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 169.06/168.98 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_equal__neg__zero,axiom, % 169.06/168.98 ! [V_a_2,T_b] : % 169.06/168.98 ( class_Groups_Olinordered__ab__group__add(T_b) % 169.06/168.98 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 169.06/168.98 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_neg__0__equal__iff__equal,axiom, % 169.06/168.98 ! [V_a_2,T_b] : % 169.06/168.98 ( class_Groups_Ogroup__add(T_b) % 169.06/168.98 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) % 169.06/168.98 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__zero,axiom, % 169.06/168.98 ! [T_a] : % 169.06/168.98 ( class_Groups_Ogroup__add(T_a) % 169.06/168.98 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_neg__less__iff__less,axiom, % 169.06/168.98 ! [V_a_2,V_b_2,T_b] : % 169.06/168.98 ( class_Groups_Oordered__ab__group__add(T_b) % 169.06/168.98 => ( 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))) % 169.06/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__less__iff,axiom, % 169.06/168.98 ! [V_b_2,V_a_2,T_b] : % 169.06/168.98 ( class_Groups_Oordered__ab__group__add(T_b) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) % 169.06/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_less__minus__iff,axiom, % 169.06/168.98 ! [V_b_2,V_a_2,T_b] : % 169.06/168.98 ( class_Groups_Oordered__ab__group__add(T_b) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2))) % 169.06/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Oless__infI2,axiom, % 169.06/168.98 ! [V_a,V_x,V_b,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 169.06/168.98 => 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)) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Oless__infI1,axiom, % 169.06/168.98 ! [V_b,V_x,V_a,T_a] : % 169.06/168.98 ( class_Orderings_Olinorder(T_a) % 169.06/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 169.06/168.98 => 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)) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__less__iff__disj,axiom, % 169.06/168.98 ! [V_z_2,V_y_2,V_x_2,T_b] : % 169.06/168.98 ( class_Orderings_Olinorder(T_b) % 169.06/168.98 => ( 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)) % 169.06/168.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 169.06/168.98 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__less__iff__conj,axiom, % 169.06/168.98 ! [V_y_2,V_x_2,V_z_2,T_b] : % 169.06/168.98 ( class_Orderings_Olinorder(T_b) % 169.06/168.98 => ( 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))) % 169.06/168.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 169.06/168.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__add__cancel,axiom, % 169.06/168.98 ! [V_b,V_a,T_a] : % 169.06/168.98 ( class_Groups_Ogroup__add(T_a) % 169.06/168.98 => 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 ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_add__minus__cancel,axiom, % 169.06/168.98 ! [V_b,V_a,T_a] : % 169.06/168.98 ( class_Groups_Ogroup__add(T_a) % 169.06/168.98 => 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 ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__add,axiom, % 169.06/168.98 ! [V_b,V_a,T_a] : % 169.06/168.98 ( class_Groups_Ogroup__add(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__add__distrib,axiom, % 169.06/168.98 ! [V_b,V_a,T_a] : % 169.06/168.98 ( class_Groups_Oab__group__add(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_square__eq__iff,axiom, % 169.06/168.98 ! [V_b_2,V_a_2,T_b] : % 169.06/168.98 ( class_Rings_Oidom(T_b) % 169.06/168.98 => ( 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) % 169.06/168.98 <=> ( V_a_2 = V_b_2 % 169.06/168.98 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__mult__minus,axiom, % 169.06/168.98 ! [V_b,V_a,T_a] : % 169.06/168.98 ( class_Rings_Oring(T_a) % 169.06/168.98 => 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) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__mult__commute,axiom, % 169.06/168.98 ! [V_b,V_a,T_a] : % 169.06/168.98 ( class_Rings_Oring(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__mult__left,axiom, % 169.06/168.98 ! [V_b,V_a,T_a] : % 169.06/168.98 ( class_Rings_Oring(T_a) % 169.06/168.98 => 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) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__mult__right,axiom, % 169.06/168.98 ! [V_b,V_a,T_a] : % 169.06/168.98 ( class_Rings_Oring(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__add__distrib__left,axiom, % 169.06/168.98 ! [V_z,V_y,V_x,T_a] : % 169.06/168.98 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 169.06/168.98 ! [V_q,V_y,V_x,T_a] : % 169.06/168.98 ( class_Rings_Ocomm__semiring__1(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__diff__eq,axiom, % 169.06/168.98 ! [V_b,V_a,T_a] : % 169.06/168.98 ( class_Groups_Oab__group__add(T_a) % 169.06/168.98 => 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) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__diff__distrib__left,axiom, % 169.06/168.98 ! [V_z,V_y,V_x,T_a] : % 169.06/168.98 ( class_Groups_Oordered__ab__group__add(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__0R,axiom, % 169.06/168.98 ! [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) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__0L,axiom, % 169.06/168.98 ! [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) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__Suc__Suc,axiom, % 169.06/168.98 ! [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)) ). % 169.06/168.98 % 169.06/168.98 fof(fact_power__number__of__even,axiom, % 169.06/168.98 ! [V_w_2,V_z_2,T_b] : % 169.06/168.98 ( class_Int_Onumber__ring(T_b) % 169.06/168.98 => 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))) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_less__eq__int__code_I13_J,axiom, % 169.06/168.98 ! [V_k2_2,V_k1_2] : % 169.06/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 169.06/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_rel__simps_I31_J,axiom, % 169.06/168.98 ! [V_l_2,V_k_2] : % 169.06/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 169.06/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_rel__simps_I14_J,axiom, % 169.06/168.98 ! [V_l_2,V_k_2] : % 169.06/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2))) % 169.06/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_less__int__code_I13_J,axiom, % 169.06/168.98 ! [V_k2_2,V_k1_2] : % 169.06/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2))) % 169.06/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_zminus__0,axiom, % 169.06/168.98 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) ). % 169.06/168.98 % 169.06/168.98 fof(fact_rel__simps_I44_J,axiom, % 169.06/168.98 ! [V_k_2] : % 169.06/168.98 ( c_Int_OBit0(V_k_2) = c_Int_OPls % 169.06/168.98 <=> V_k_2 = c_Int_OPls ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_rel__simps_I38_J,axiom, % 169.06/168.98 ! [V_l_2] : % 169.06/168.98 ( c_Int_OPls = c_Int_OBit0(V_l_2) % 169.06/168.98 <=> c_Int_OPls = V_l_2 ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_Bit0__Pls,axiom, % 169.06/168.98 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 169.06/168.98 % 169.06/168.98 fof(fact_rel__simps_I50_J,axiom, % 169.06/168.98 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 169.06/168.98 % 169.06/168.98 fof(fact_rel__simps_I49_J,axiom, % 169.06/168.98 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 169.06/168.98 % 169.06/168.98 fof(fact_Bit0__def,axiom, % 169.06/168.98 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ). % 169.06/168.98 % 169.06/168.98 fof(fact_add__Bit0__Bit0,axiom, % 169.06/168.98 ! [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)) ). % 169.06/168.98 % 169.06/168.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 169.06/168.98 ! [V_q,V_p,V_x,T_a] : % 169.06/168.98 ( class_Rings_Ocomm__semiring__1(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__diff,axiom, % 169.06/168.98 ! [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) ). % 169.06/168.98 % 169.06/168.98 fof(fact_zpower__zpower,axiom, % 169.06/168.98 ! [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)) ). % 169.06/168.98 % 169.06/168.98 fof(fact_zpower__number__of__even,axiom, % 169.06/168.98 ! [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))) ). % 169.06/168.98 % 169.06/168.98 fof(fact_mult__Bit0,axiom, % 169.06/168.98 ! [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)) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__Pls,axiom, % 169.06/168.98 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ). % 169.06/168.98 % 169.06/168.98 fof(fact_zminus__zadd__distrib,axiom, % 169.06/168.98 ! [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)) ). % 169.06/168.98 % 169.06/168.98 fof(fact_minus__numeral__code_I5_J,axiom, % 169.06/168.98 ! [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)) ). % 169.06/168.98 % 169.06/168.98 fof(fact_diff__bin__simps_I7_J,axiom, % 169.06/168.98 ! [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)) ). % 169.06/168.98 % 169.06/168.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 169.06/168.98 ! [V_x,T_a] : % 169.06/168.98 ( class_Rings_Ocomm__semiring__1(T_a) % 169.06/168.98 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_zmult__zminus,axiom, % 169.06/168.98 ! [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)) ). % 169.06/168.98 % 169.06/168.98 fof(fact_power2__eq__1__iff,axiom, % 169.06/168.98 ! [V_a_2,T_b] : % 169.06/168.98 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 169.06/168.98 => ( 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) % 169.06/168.98 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b) % 169.06/168.98 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_power__minus__even,axiom, % 169.06/168.98 ! [V_n,V_a,T_a] : % 169.06/168.98 ( class_Rings_Oring__1(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom, % 169.06/168.98 ! [T_b] : % 169.06/168.98 ( class_Orderings_Olinorder(T_b) % 169.06/168.98 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom, % 169.06/168.98 ! [V_n,V_x] : % 169.06/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_nat__power__eq,axiom, % 169.06/168.98 ! [V_n,V_z] : % 169.06/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 169.06/168.98 => 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) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_power__minus1__even,axiom, % 169.06/168.98 ! [V_n,T_a] : % 169.06/168.98 ( class_Rings_Oring__1(T_a) % 169.06/168.98 => 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) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_power__number__of__even__number__of,axiom, % 169.06/168.98 ! [V_w_2,V_v_2,T_b] : % 169.06/168.98 ( class_Int_Onumber__ring(T_b) % 169.06/168.98 => 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))) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_power__minus1__odd,axiom, % 169.06/168.98 ! [V_n,T_a] : % 169.06/168.98 ( class_Rings_Oring__1(T_a) % 169.06/168.98 => 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)) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_zero__power2,axiom, % 169.06/168.98 ! [T_a] : % 169.06/168.98 ( class_Rings_Osemiring__1(T_a) % 169.06/168.98 => 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) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_zero__eq__power2,axiom, % 169.06/168.98 ! [V_a_2,T_b] : % 169.06/168.98 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 169.06/168.98 => ( 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) % 169.06/168.98 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.06/168.98 % 169.06/168.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom, % 169.06/168.98 ! [V_x,T_a] : % 169.06/168.98 ( class_Rings_Ocomm__semiring__1(T_a) % 169.10/168.98 => 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)))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power2__eq__square,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Groups_Omonoid__mult(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_one__power2,axiom, % 169.10/168.98 ! [T_a] : % 169.10/168.98 ( class_Rings_Osemiring__1(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__even__eq,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Groups_Omonoid__mult(T_a) % 169.10/168.98 => 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)))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_neg__0__le__iff__le,axiom, % 169.10/168.98 ! [V_a_2,T_b] : % 169.10/168.98 ( class_Groups_Oordered__ab__group__add(T_b) % 169.10/168.98 => ( 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))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_le__minus__self__iff,axiom, % 169.10/168.98 ! [V_a_2,T_b] : % 169.10/168.98 ( class_Groups_Olinordered__ab__group__add(T_b) % 169.10/168.98 => ( 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))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_neg__le__0__iff__le,axiom, % 169.10/168.98 ! [V_a_2,T_b] : % 169.10/168.98 ( class_Groups_Oordered__ab__group__add(T_b) % 169.10/168.98 => ( 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))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_minus__le__self__iff,axiom, % 169.10/168.98 ! [V_a_2,T_b] : % 169.10/168.98 ( class_Groups_Olinordered__ab__group__add(T_b) % 169.10/168.98 => ( 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)) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_neg__less__nonneg,axiom, % 169.10/168.98 ! [V_a_2,T_b] : % 169.10/168.98 ( class_Groups_Olinordered__ab__group__add(T_b) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2)) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_neg__less__0__iff__less,axiom, % 169.10/168.98 ! [V_a_2,T_b] : % 169.10/168.98 ( class_Groups_Oordered__ab__group__add(T_b) % 169.10/168.98 => ( 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))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_neg__0__less__iff__less,axiom, % 169.10/168.98 ! [V_a_2,T_b] : % 169.10/168.98 ( class_Groups_Oordered__ab__group__add(T_b) % 169.10/168.98 => ( 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))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_less__minus__self__iff,axiom, % 169.10/168.98 ! [V_a_2,T_b] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_b) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_minus__unique,axiom, % 169.10/168.98 ! [V_b,V_a,T_a] : % 169.10/168.98 ( class_Groups_Ogroup__add(T_a) % 169.10/168.98 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.98 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_ab__left__minus,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Groups_Oab__group__add(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_left__minus,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Groups_Ogroup__add(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_eq__neg__iff__add__eq__0,axiom, % 169.10/168.98 ! [V_b_2,V_a_2,T_b] : % 169.10/168.98 ( class_Groups_Ogroup__add(T_b) % 169.10/168.98 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) % 169.10/168.98 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_right__minus,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Groups_Ogroup__add(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__0,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Groups_Ogroup__add(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_min__number__of,axiom, % 169.10/168.98 ! [V_v,V_u,T_b] : % 169.10/168.98 ( ( class_Int_Onumber(T_b) % 169.10/168.98 & class_Orderings_Oord(T_b) ) % 169.10/168.98 => ( ( 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))) % 169.10/168.98 => 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) ) % 169.10/168.98 & ( ~ 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))) % 169.10/168.98 => 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) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 169.10/168.98 ! [V_y,V_x,T_a] : % 169.10/168.98 ( class_Rings_Ocomm__ring__1(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__def,axiom, % 169.10/168.98 ! [V_b,V_a,T_a] : % 169.10/168.98 ( class_Groups_Ogroup__add(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_ab__diff__minus,axiom, % 169.10/168.98 ! [V_b,V_a,T_a] : % 169.10/168.98 ( class_Groups_Oab__group__add(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__minus__eq__add,axiom, % 169.10/168.98 ! [V_b,V_a,T_a] : % 169.10/168.98 ( class_Groups_Ogroup__add(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_square__eq__1__iff,axiom, % 169.10/168.98 ! [V_x_2,T_b] : % 169.10/168.98 ( class_Rings_Oring__1__no__zero__divisors(T_b) % 169.10/168.98 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 169.10/168.98 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b) % 169.10/168.98 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 169.10/168.98 ! [V_x,T_a] : % 169.10/168.98 ( class_Rings_Ocomm__ring__1(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 169.10/168.98 ! [V_q,V_x,T_a] : % 169.10/168.98 ( class_Rings_Ocomm__semiring__1(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 169.10/168.98 ! [V_q,V_x,T_a] : % 169.10/168.98 ( class_Rings_Ocomm__semiring__1(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 169.10/168.98 ! [V_q,V_x,T_a] : % 169.10/168.98 ( class_Rings_Ocomm__semiring__1(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 169.10/168.98 ! [V_x,T_a] : % 169.10/168.98 ( class_Rings_Ocomm__semiring__1(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 169.10/168.98 ! [V_q,V_p,V_x,T_a] : % 169.10/168.98 ( class_Rings_Ocomm__semiring__1(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_bin__less__0__simps_I3_J,axiom, % 169.10/168.98 ! [V_w_2] : % 169.10/168.98 ( 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))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 169.10/168.98 ! [V_n,V_x] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.10/168.98 => 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__rec__0,axiom, % 169.10/168.98 ! [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 ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__rec__Suc,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_rel__simps_I21_J,axiom, % 169.10/168.98 ! [V_k_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_rel__simps_I27_J,axiom, % 169.10/168.98 ! [V_k_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_less__eq__int__code_I14_J,axiom, % 169.10/168.98 ! [V_k2_2,V_k1_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_rel__simps_I32_J,axiom, % 169.10/168.98 ! [V_l_2,V_k_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_rel__simps_I10_J,axiom, % 169.10/168.98 ! [V_k_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls)) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_rel__simps_I4_J,axiom, % 169.10/168.98 ! [V_k_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_rel__simps_I16_J,axiom, % 169.10/168.98 ! [V_l_2,V_k_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_less__int__code_I15_J,axiom, % 169.10/168.98 ! [V_k2_2,V_k1_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_add__Bit1__Bit0,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_add__Bit0__Bit1,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zpower__zadd__distrib,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zadd__zminus__inverse2,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_negative__eq__positive,axiom, % 169.10/168.98 ! [V_m_2,V_na_2] : % 169.10/168.98 ( 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) % 169.10/168.98 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.98 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__bin__simps_I3_J,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__bin__simps_I10_J,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__bin__simps_I9_J,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_not__int__zless__negative,axiom, % 169.10/168.98 ! [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)))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__int__def__symmetric,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__int__def,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_Ints__minus,axiom, % 169.10/168.98 ! [V_a_2,T_b] : % 169.10/168.98 ( class_Rings_Oring__1(T_b) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 169.10/168.98 => 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))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_Ints__power,axiom, % 169.10/168.98 ! [V_na_2,V_a_2,T_b] : % 169.10/168.98 ( class_Rings_Oring__1(T_b) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b))) % 169.10/168.98 => 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))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_neg__number__of__Bit0,axiom, % 169.10/168.98 ! [V_w_2] : % 169.10/168.98 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2)))) % 169.10/168.98 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_pred__Bit1,axiom, % 169.10/168.98 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ). % 169.10/168.98 % 169.10/168.98 fof(fact_pred__Bit0,axiom, % 169.10/168.98 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_minus__Bit1,axiom, % 169.10/168.98 ! [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))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power2__eq__imp__eq,axiom, % 169.10/168.98 ! [V_y,V_x,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( 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)))) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.10/168.98 => V_x = V_y ) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power2__le__imp__le,axiom, % 169.10/168.98 ! [V_y,V_x,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( 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)))))) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.10/168.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zero__le__power2,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_a) % 169.10/168.98 => 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)))))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power2__less__0,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_a) % 169.10/168.98 => ~ 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zero__less__power2,axiom, % 169.10/168.98 ! [V_a_2,T_b] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_b) % 169.10/168.98 => ( 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)))))) % 169.10/168.98 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_sum__power2__eq__zero__iff,axiom, % 169.10/168.98 ! [V_y_2,V_x_2,T_b] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_b) % 169.10/168.98 => ( 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) % 169.10/168.98 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.98 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power2__eq__square__number__of,axiom, % 169.10/168.98 ! [V_w,T_b] : % 169.10/168.98 ( ( class_Groups_Omonoid__mult(T_b) % 169.10/168.98 & class_Int_Onumber(T_b) ) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_succ__Bit0,axiom, % 169.10/168.98 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ). % 169.10/168.98 % 169.10/168.98 fof(fact_succ__Bit1,axiom, % 169.10/168.98 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom, % 169.10/168.98 ! [V_n,V_x,T_a] : % 169.10/168.98 ( class_Rings_Ocomm__semiring__1(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__number__of__Bit0,axiom, % 169.10/168.98 ! [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))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__nat__number__of,axiom, % 169.10/168.98 ! [V_n,V_v] : % 169.10/168.98 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.10/168.98 => 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) ) % 169.10/168.98 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.10/168.98 => 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)) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__nat__number__of__number__of,axiom, % 169.10/168.98 ! [V_w,V_v] : % 169.10/168.98 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.10/168.98 => 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)) ) % 169.10/168.98 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.10/168.98 => 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))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power2__less__imp__less,axiom, % 169.10/168.98 ! [V_y,V_x,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( 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)))))) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.10/168.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_sum__power2__le__zero__iff,axiom, % 169.10/168.98 ! [V_y_2,V_x_2,T_b] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_b) % 169.10/168.98 => ( 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))) % 169.10/168.98 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.98 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_sum__power2__ge__zero,axiom, % 169.10/168.98 ! [V_y,V_x,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_a) % 169.10/168.98 => 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))))))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_not__sum__power2__lt__zero,axiom, % 169.10/168.98 ! [V_y,V_x,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_a) % 169.10/168.98 => ~ 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_sum__power2__gt__zero__iff,axiom, % 169.10/168.98 ! [V_y_2,V_x_2,T_b] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_b) % 169.10/168.98 => ( 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))))))) % 169.10/168.98 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.98 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power2__sum,axiom, % 169.10/168.98 ! [V_y,V_x,T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zero__le__even__power_H,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_a) % 169.10/168.98 => 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)))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__odd__eq,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Groups_Omonoid__mult(T_a) % 169.10/168.98 => 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))))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom, % 169.10/168.98 ! [V_n,V_x,T_a] : % 169.10/168.98 ( class_Rings_Ocomm__semiring__1(T_a) % 169.10/168.98 => 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_number__of__Bit0,axiom, % 169.10/168.98 ! [V_w,T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_rel__simps_I15_J,axiom, % 169.10/168.98 ! [V_l_2,V_k_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_less__int__code_I14_J,axiom, % 169.10/168.98 ! [V_k2_2,V_k1_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_rel__simps_I33_J,axiom, % 169.10/168.98 ! [V_l_2,V_k_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_less__eq__int__code_I15_J,axiom, % 169.10/168.98 ! [V_k2_2,V_k1_2] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__number__of__eq,axiom, % 169.10/168.98 ! [V_w,V_v,T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mult__Bit1,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_int__zle__neg,axiom, % 169.10/168.98 ! [V_m_2,V_na_2] : % 169.10/168.98 ( 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)))) % 169.10/168.98 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.98 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_negative__zle__0,axiom, % 169.10/168.98 ! [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))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__zminus__int,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_minus__numeral__code_I6_J,axiom, % 169.10/168.98 ! [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))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_neg__zminus__int,axiom, % 169.10/168.98 ! [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))))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__bin__simps_I8_J,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power2__diff,axiom, % 169.10/168.98 ! [V_y,V_x,T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_odd__0__le__power__imp__0__le,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_a) % 169.10/168.98 => ( 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))))) % 169.10/168.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_odd__power__less__zero,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__idom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/168.98 => 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))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_add__Bit1__Bit1,axiom, % 169.10/168.98 ! [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))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_double__number__of__Bit0,axiom, % 169.10/168.98 ! [V_w,T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_min__Suc1,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_min__Suc2,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power3__eq__cube,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Groups_Omonoid__mult(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_add__number__of__diff2,axiom, % 169.10/168.98 ! [V_w,V_c,V_v,T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_number__of1,axiom, % 169.10/168.98 ! [V_n] : % 169.10/168.98 ( 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))) % 169.10/168.98 => ( 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)))) % 169.10/168.98 & 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)))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_number__of__pred,axiom, % 169.10/168.98 ! [V_w,T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_not__zle__0__negative,axiom, % 169.10/168.98 ! [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))))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_negative__zless__0,axiom, % 169.10/168.98 ! [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))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__eq__if,axiom, % 169.10/168.98 ! [V_p,V_m] : % 169.10/168.98 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.98 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 169.10/168.98 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.98 => 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)))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mult__2__right,axiom, % 169.10/168.98 ! [V_z,T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mult__2,axiom, % 169.10/168.98 ! [V_z,T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_one__add__one__is__two,axiom, % 169.10/168.98 ! [T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_semiring__norm_I115_J,axiom, % 169.10/168.98 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))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_numeral__2__eq__2,axiom, % 169.10/168.98 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))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom, % 169.10/168.98 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))))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_add__2__eq__Suc_H,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_add__2__eq__Suc,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__mult__2,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__mult__2__right,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_transfer__int__nat__numerals_I3_J,axiom, % 169.10/168.98 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)))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_transfer__nat__int__numerals_I3_J,axiom, % 169.10/168.98 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)))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__1__add__1,axiom, % 169.10/168.98 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))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__mult__distrib__neg,axiom, % 169.10/168.98 ! [V_z_H,V_z] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.98 => 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_less__2__cases,axiom, % 169.10/168.98 ! [V_n] : % 169.10/168.98 ( 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))))) % 169.10/168.98 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.98 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__2,axiom, % 169.10/168.98 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))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__special_I1_J,axiom, % 169.10/168.98 ! [V_w,T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_diff__special_I2_J,axiom, % 169.10/168.98 ! [V_v,T_a] : % 169.10/168.98 ( class_Int_Onumber__ring(T_a) % 169.10/168.98 => 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)))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__number__of__odd,axiom, % 169.10/168.98 ! [V_z_2,V_w_2,T_b] : % 169.10/168.98 ( class_Int_Onumber__ring(T_b) % 169.10/168.98 => ( ( 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))) % 169.10/168.98 => 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))) ) % 169.10/168.98 & ( ~ 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))) % 169.10/168.98 => 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) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zpower__number__of__odd,axiom, % 169.10/168.98 ! [V_z_2,V_w_2] : % 169.10/168.98 ( ( 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))) % 169.10/168.98 => 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))) ) % 169.10/168.98 & ( ~ 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))) % 169.10/168.98 => 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) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_min__number__of__Suc,axiom, % 169.10/168.98 ! [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)))) ). % 169.10/168.98 % 169.10/168.98 fof(fact_fold1__antimono,axiom, % 169.10/168.98 ! [V_B_2,V_A_2,T_b] : % 169.10/168.98 ( class_Orderings_Olinorder(T_b) % 169.10/168.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.10/168.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.10/168.98 => 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))) ) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__strict__mono,axiom, % 169.10/168.98 ! [V_n,V_b,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/168.98 => 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))) ) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_fold1__strict__below__iff,axiom, % 169.10/168.98 ! [V_x_2,V_A_2,T_b] : % 169.10/168.98 ( class_Orderings_Olinorder(T_b) % 169.10/168.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.98 => ( 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)) % 169.10/168.98 <=> ? [B_x] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.10/168.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_strict__below__fold1__iff,axiom, % 169.10/168.98 ! [V_x_2,V_A_2,T_b] : % 169.10/168.98 ( class_Orderings_Olinorder(T_b) % 169.10/168.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.98 => ( 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))) % 169.10/168.98 <=> ! [B_x] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.10/168.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_fold1__below__iff,axiom, % 169.10/168.98 ! [V_x_2,V_A_2,T_b] : % 169.10/168.98 ( class_Orderings_Olinorder(T_b) % 169.10/168.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.98 => ( 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)) % 169.10/168.98 <=> ? [B_x] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.10/168.98 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_min__max_Obelow__fold1__iff,axiom, % 169.10/168.98 ! [V_x_2,V_A_2,T_b] : % 169.10/168.98 ( class_Orderings_Olinorder(T_b) % 169.10/168.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.98 => ( 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))) % 169.10/168.98 <=> ! [B_x] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.10/168.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_min__max_Ofold1__belowI,axiom, % 169.10/168.98 ! [V_a_2,V_A_2,T_b] : % 169.10/168.98 ( class_Orderings_Olinorder(T_b) % 169.10/168.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.10/168.98 => 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)) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_ComplI,axiom, % 169.10/168.98 ! [V_A_2,V_c_2,T_b] : % 169.10/168.98 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 169.10/168.98 => 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_Compl__iff,axiom, % 169.10/168.98 ! [V_A_2,V_c_2,T_b] : % 169.10/168.98 ( 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))) % 169.10/168.98 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_ComplD,axiom, % 169.10/168.98 ! [V_A_2,V_c_2,T_b] : % 169.10/168.98 ( 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))) % 169.10/168.98 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_ComplE,axiom, % 169.10/168.98 ! [V_A_2,V_c_2,T_b] : % 169.10/168.98 ( 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))) % 169.10/168.98 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_Compl__subset__Compl__iff,axiom, % 169.10/168.98 ! [V_B_2,V_A_2,T_b] : % 169.10/168.98 ( 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))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_Compl__anti__mono,axiom, % 169.10/168.98 ! [V_B_2,V_A_2,T_b] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.10/168.98 => 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_subset__Compl__self__eq,axiom, % 169.10/168.98 ! [V_A_2,T_b] : % 169.10/168.98 ( 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))) % 169.10/168.98 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_Min_Oidem,axiom, % 169.10/168.98 ! [V_x,T_a] : % 169.10/168.98 ( class_Orderings_Olinorder(T_a) % 169.10/168.98 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_field__power__not__zero,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 169.10/168.98 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.98 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__Suc__0,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 169.10/168.98 ! [V_m_2,V_x_2] : % 169.10/168.98 ( 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)) % 169.10/168.98 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.98 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__power__less__imp__less,axiom, % 169.10/168.98 ! [V_n,V_m,V_i] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i)) % 169.10/168.98 => ( 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))) % 169.10/168.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__zero__less__power__iff,axiom, % 169.10/168.98 ! [V_na_2,V_x_2] : % 169.10/168.98 ( 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))) % 169.10/168.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2)) % 169.10/168.98 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__mult__distrib,axiom, % 169.10/168.98 ! [V_n,V_b,V_a,T_a] : % 169.10/168.98 ( class_Groups_Ocomm__monoid__mult(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__commutes,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Groups_Omonoid__mult(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__one,axiom, % 169.10/168.98 ! [V_n,T_a] : % 169.10/168.98 ( class_Groups_Omonoid__mult(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_of__nat__power,axiom, % 169.10/168.98 ! [V_n,V_m,T_a] : % 169.10/168.98 ( class_Rings_Osemiring__1(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__mult,axiom, % 169.10/168.98 ! [V_n,V_m,V_a,T_a] : % 169.10/168.98 ( class_Groups_Omonoid__mult(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__one__right,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Groups_Omonoid__mult(T_a) % 169.10/168.98 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__mono,axiom, % 169.10/168.98 ! [V_n,V_b,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.10/168.98 => 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))) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zero__le__power,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.10/168.98 => 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))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zero__less__power,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.10/168.98 => 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))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__eq__0__iff,axiom, % 169.10/168.98 ! [V_na_2,V_a_2,T_b] : % 169.10/168.98 ( ( class_Power_Opower(T_b) % 169.10/168.98 & class_Rings_Omult__zero(T_b) % 169.10/168.98 & class_Rings_Ono__zero__divisors(T_b) % 169.10/168.98 & class_Rings_Ozero__neq__one(T_b) ) % 169.10/168.98 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_na_2) = c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.98 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.98 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_one__le__power,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 169.10/168.98 => 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))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__0__Suc,axiom, % 169.10/168.98 ! [V_n,T_a] : % 169.10/168.98 ( ( class_Power_Opower(T_a) % 169.10/168.98 & class_Rings_Osemiring__0(T_a) ) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__inject__exp,axiom, % 169.10/168.98 ! [V_na_2,V_m_2,V_a_2,T_b] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_b) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)) % 169.10/168.98 => ( 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) % 169.10/168.98 <=> V_m_2 = V_na_2 ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__Suc,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Power_Opower(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__Suc2,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Groups_Omonoid__mult(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_nat__one__le__power,axiom, % 169.10/168.98 ! [V_n,V_i] : % 169.10/168.98 ( 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)) % 169.10/168.98 => 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__0,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Power_Opower(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__add,axiom, % 169.10/168.98 ! [V_n,V_m,V_a,T_a] : % 169.10/168.98 ( class_Groups_Omonoid__mult(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__less__imp__less__base,axiom, % 169.10/168.98 ! [V_b,V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( 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))) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 169.10/168.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__inject__base,axiom, % 169.10/168.98 ! [V_b,V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( 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)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 169.10/168.98 => V_a = V_b ) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__le__imp__le__base,axiom, % 169.10/168.98 ! [V_b,V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( 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)))) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 169.10/168.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__less__power__Suc,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 169.10/168.98 => 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)))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__gt1__lemma,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 169.10/168.98 => 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)))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__0__left,axiom, % 169.10/168.98 ! [V_n,T_a] : % 169.10/168.98 ( ( class_Power_Opower(T_a) % 169.10/168.98 & class_Rings_Osemiring__0(T_a) ) % 169.10/168.98 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.98 => 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) ) % 169.10/168.98 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.98 => 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) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__gt1,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 169.10/168.98 => 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)))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__strict__increasing,axiom, % 169.10/168.98 ! [V_a,V_N,V_n,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 169.10/168.98 => 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))) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__less__imp__less__exp,axiom, % 169.10/168.98 ! [V_n,V_m,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 169.10/168.98 => ( 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))) % 169.10/168.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__strict__increasing__iff,axiom, % 169.10/168.98 ! [V_y_2,V_x_2,V_b_2,T_b] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_b) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 169.10/168.98 => ( 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))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__increasing,axiom, % 169.10/168.98 ! [V_a,V_N,V_n,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 169.10/168.98 => 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))) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__minus,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Oring__1(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__Suc__less,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 169.10/168.98 => 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))) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__eq__imp__eq__base,axiom, % 169.10/168.98 ! [V_b,V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( 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) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/168.98 => V_a = V_b ) ) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__Suc__less__one,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 169.10/168.98 => 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))) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__strict__decreasing,axiom, % 169.10/168.98 ! [V_a,V_N,V_n,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 169.10/168.98 => 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))) ) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__decreasing,axiom, % 169.10/168.98 ! [V_a,V_N,V_n,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a))) % 169.10/168.98 => 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))) ) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__le__imp__le__exp,axiom, % 169.10/168.98 ! [V_n,V_m,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 169.10/168.98 => ( 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))) % 169.10/168.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_power__increasing__iff,axiom, % 169.10/168.98 ! [V_y_2,V_x_2,V_b_2,T_b] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_b) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2)) % 169.10/168.98 => ( 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))) % 169.10/168.98 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_one__less__power,axiom, % 169.10/168.98 ! [V_n,V_a,T_a] : % 169.10/168.98 ( class_Rings_Olinordered__semidom(T_a) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) % 169.10/168.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/168.98 => 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))) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_semilattice__big_OF__eq,axiom, % 169.10/168.98 ! [V_A_2,V_F_2,V_f_2,T_b] : % 169.10/168.98 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2) % 169.10/168.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.98 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_eq__special_I2_J,axiom, % 169.10/168.98 ! [V_y_2,T_b] : % 169.10/168.98 ( class_Int_Onumber__ring(T_b) % 169.10/168.98 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 169.10/168.98 <=> 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)))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_eq__special_I4_J,axiom, % 169.10/168.98 ! [V_x_2,T_b] : % 169.10/168.98 ( class_Int_Onumber__ring(T_b) % 169.10/168.98 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b) % 169.10/168.98 <=> 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))))) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zmod__number__of__Bit1,axiom, % 169.10/168.98 ! [V_v,V_w] : % 169.10/168.98 ( ( 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))) % 169.10/168.98 => 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)) ) % 169.10/168.98 & ( ~ 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))) % 169.10/168.98 => 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)) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_neg__zmod__mult__2,axiom, % 169.10/168.98 ! [V_b,V_a] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_dual__max,axiom, % 169.10/168.98 ! [T_b] : % 169.10/168.98 ( class_Orderings_Olinorder(T_b) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_pos__zmod__mult__2,axiom, % 169.10/168.98 ! [V_b,V_a] : % 169.10/168.98 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/168.98 => 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))) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_Compl__eq__Compl__iff,axiom, % 169.10/168.98 ! [V_B_2,V_A_2,T_b] : % 169.10/168.98 ( 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) % 169.10/168.98 <=> V_A_2 = V_B_2 ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_double__complement,axiom, % 169.10/168.98 ! [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 ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__mod__trivial,axiom, % 169.10/168.98 ! [V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__self,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__by__0,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__0,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__add__self2,axiom, % 169.10/168.98 ! [V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__add__self1,axiom, % 169.10/168.98 ! [V_a,V_b,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__add__right__eq,axiom, % 169.10/168.98 ! [V_c,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__add__left__eq,axiom, % 169.10/168.98 ! [V_c,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__add__eq,axiom, % 169.10/168.98 ! [V_c,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zmod__simps_I2_J,axiom, % 169.10/168.98 ! [V_c,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zmod__simps_I1_J,axiom, % 169.10/168.98 ! [V_b,V_c,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__add__cong,axiom, % 169.10/168.98 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 169.10/168.98 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 169.10/168.98 => 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) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__mult__right__eq,axiom, % 169.10/168.98 ! [V_c,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__mult__left__eq,axiom, % 169.10/168.98 ! [V_c,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__mult__eq,axiom, % 169.10/168.98 ! [V_c,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__mult__mult1,axiom, % 169.10/168.98 ! [V_b,V_a,V_c,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__mult__mult2,axiom, % 169.10/168.98 ! [V_b,V_c,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zmod__simps_I4_J,axiom, % 169.10/168.98 ! [V_b,V_c,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__mult__cong,axiom, % 169.10/168.98 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 169.10/168.98 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 169.10/168.98 => 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) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__diff__right__eq,axiom, % 169.10/168.98 ! [V_c,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Oring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__diff__left__eq,axiom, % 169.10/168.98 ! [V_c,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Oring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__diff__eq,axiom, % 169.10/168.98 ! [V_c,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Oring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__diff__cong,axiom, % 169.10/168.98 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] : % 169.10/168.98 ( class_Divides_Oring__div(T_a) % 169.10/168.98 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c) % 169.10/168.98 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c) % 169.10/168.98 => 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) ) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__minus__cong,axiom, % 169.10/168.98 ! [V_a_H,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Oring__div(T_a) % 169.10/168.98 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b) % 169.10/168.98 => 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) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__minus__eq,axiom, % 169.10/168.98 ! [V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Oring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zmod__zero,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zmod__self,axiom, % 169.10/168.98 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zmod__zmult1__eq,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zmod__simps_I3_J,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zdiff__zmod__right,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zdiff__zmod__left,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zminus__zmod,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zmod__zminus__zminus,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zmod__zminus2,axiom, % 169.10/168.98 ! [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)) ). % 169.10/168.98 % 169.10/168.98 fof(fact_zpower__zmod,axiom, % 169.10/168.98 ! [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) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__mult__self2__is__0,axiom, % 169.10/168.98 ! [V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__mult__self1__is__0,axiom, % 169.10/168.98 ! [V_a,V_b,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__mult__self2,axiom, % 169.10/168.98 ! [V_c,V_b,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__mult__self1,axiom, % 169.10/168.98 ! [V_b,V_c,V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => 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) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_mod__by__1,axiom, % 169.10/168.98 ! [V_a,T_a] : % 169.10/168.98 ( class_Divides_Osemiring__div(T_a) % 169.10/168.98 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_iszero__0,axiom, % 169.10/168.98 ! [T_a] : % 169.10/168.98 ( class_Rings_Osemiring__1(T_a) % 169.10/168.98 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_iszero__def,axiom, % 169.10/168.98 ! [V_z_2,T_b] : % 169.10/168.98 ( class_Rings_Osemiring__1(T_b) % 169.10/168.98 => ( c_Int_Oiszero(T_b,V_z_2) % 169.10/168.98 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.10/168.98 % 169.10/168.98 fof(fact_not__iszero__1,axiom, % 169.10/168.98 ! [T_a] : % 169.10/168.98 ( class_Rings_Osemiring__1(T_a) % 169.10/168.99 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom, % 169.10/168.99 ! [V_y,V_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__le__nonneg__dividend,axiom, % 169.10/168.99 ! [V_k,V_m] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m)) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_neg__mod__bound,axiom, % 169.10/168.99 ! [V_a,V_b] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => 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))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pos__mod__bound,axiom, % 169.10/168.99 ! [V_a,V_b] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__eq__0__iff,axiom, % 169.10/168.99 ! [V_d_2,V_m_2] : % 169.10/168.99 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__zminus1__not__zero,axiom, % 169.10/168.99 ! [V_l,V_k] : % 169.10/168.99 ( 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) % 169.10/168.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__zminus2__not__zero,axiom, % 169.10/168.99 ! [V_l,V_k] : % 169.10/168.99 ( 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) % 169.10/168.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pos__mod__sign,axiom, % 169.10/168.99 ! [V_a,V_b] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/168.99 => 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))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pos__mod__conj,axiom, % 169.10/168.99 ! [V_a,V_b] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/168.99 => ( 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))) % 169.10/168.99 & 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__pos__pos__trivial,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 169.10/168.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_neg__mod__sign,axiom, % 169.10/168.99 ! [V_a,V_b] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => 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))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_neg__mod__conj,axiom, % 169.10/168.99 ! [V_a,V_b] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => ( 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))) % 169.10/168.99 & 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__neg__neg__trivial,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 169.10/168.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__zminus2__eq__if,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => 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) ) % 169.10/168.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__zminus1__eq__if,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => 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) ) % 169.10/168.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_iszero__Numeral0,axiom, % 169.10/168.99 ! [T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_iszero__number__of__Bit1,axiom, % 169.10/168.99 ! [V_w,T_a] : % 169.10/168.99 ( ( class_Int_Onumber__ring(T_a) % 169.10/168.99 & class_Int_Oring__char__0(T_a) ) % 169.10/168.99 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_iszero__number__of__Bit0,axiom, % 169.10/168.99 ! [V_w_2,T_b] : % 169.10/168.99 ( ( class_Int_Onumber__ring(T_b) % 169.10/168.99 & class_Int_Oring__char__0(T_b) ) % 169.10/168.99 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2))) % 169.10/168.99 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__pos__neg__trivial,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/168.99 => ( 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))) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divmod__int__rel__mod__eq,axiom, % 169.10/168.99 ! [V_y,V_q_1,V_b_1,V_a_1] : % 169.10/168.99 ( 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) % 169.10/168.99 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 169.10/168.99 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmult2__lemma__aux2,axiom, % 169.10/168.99 ! [V_q,V_r,V_b,V_c] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => 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))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmult2__lemma__aux1,axiom, % 169.10/168.99 ! [V_q,V_r,V_b,V_c] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => 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))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmult2__lemma__aux4,axiom, % 169.10/168.99 ! [V_q,V_b,V_r,V_c] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 169.10/168.99 => 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))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmult2__lemma__aux3,axiom, % 169.10/168.99 ! [V_q,V_b,V_r,V_c] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) % 169.10/168.99 => 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))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_split__zmod,axiom, % 169.10/168.99 ! [V_k_2,V_na_2,V_Pa_2] : % 169.10/168.99 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_na_2,V_k_2))) % 169.10/168.99 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => hBOOL(hAPP(V_Pa_2,V_na_2)) ) % 169.10/168.99 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 169.10/168.99 => ! [B_i,B_j] : % 169.10/168.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 169.10/168.99 & 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) ) % 169.10/168.99 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) % 169.10/168.99 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => ! [B_i,B_j] : % 169.10/168.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 & 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) ) % 169.10/168.99 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__number__of__Bit0,axiom, % 169.10/168.99 ! [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))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_not__iszero__Numeral1,axiom, % 169.10/168.99 ! [T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_eq__number__of__eq,axiom, % 169.10/168.99 ! [V_y_2,V_x_2,T_b] : % 169.10/168.99 ( class_Int_Onumber__ring(T_b) % 169.10/168.99 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 169.10/168.99 <=> 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)))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_eq__special_I1_J,axiom, % 169.10/168.99 ! [V_y_2,T_b] : % 169.10/168.99 ( class_Int_Onumber__ring(T_b) % 169.10/168.99 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2) % 169.10/168.99 <=> 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)))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_eq__special_I3_J,axiom, % 169.10/168.99 ! [V_x_2,T_b] : % 169.10/168.99 ( class_Int_Onumber__ring(T_b) % 169.10/168.99 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.99 <=> 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)))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_z3mod__def,axiom, % 169.10/168.99 ! [V_k,V_l] : % 169.10/168.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 169.10/168.99 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_comm__monoid__big_OF__eq,axiom, % 169.10/168.99 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 169.10/168.99 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 169.10/168.99 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 169.10/168.99 => 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) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 169.10/168.99 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pos__zdiv__mult__2,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_neg__zdiv__mult__2,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_min__ord__min,axiom, % 169.10/168.99 ! [T_b] : % 169.10/168.99 ( class_Orderings_Oord(T_b) % 169.10/168.99 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_power__power__power,axiom, % 169.10/168.99 ! [T_b] : % 169.10/168.99 ( class_Power_Opower(T_b) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__zero,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__Suc__eq__Suc__mod,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__less,axiom, % 169.10/168.99 ! [V_n,V_m] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 169.10/168.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__less__eq__dividend,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__mult__distrib,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__mult__distrib2,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__zminus2,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__zminus__zminus,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__0,axiom, % 169.10/168.99 ! [V_a,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__by__0,axiom, % 169.10/168.99 ! [V_a,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__by__1,axiom, % 169.10/168.99 ! [V_a,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__1,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__Suc,axiom, % 169.10/168.99 ! [V_n,V_m] : % 169.10/168.99 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n % 169.10/168.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 169.10/168.99 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 169.10/168.99 ! [V_y,V_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__less__divisor,axiom, % 169.10/168.99 ! [V_m,V_n] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 169.10/168.99 ! [V_a_2,V_b_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 169.10/168.99 ! [V_a_2,V_b_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__neg__pos__less0,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__self,axiom, % 169.10/168.99 ! [V_a] : % 169.10/168.99 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__eq__0__iff,axiom, % 169.10/168.99 ! [V_d_2,V_m_2] : % 169.10/168.99 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.99 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__geq,axiom, % 169.10/168.99 ! [V_n,V_m] : % 169.10/168.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__if,axiom, % 169.10/168.99 ! [V_n,V_m] : % 169.10/168.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 169.10/168.99 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__number__of__Bit0,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_DIVISION__BY__ZERO,axiom, % 169.10/168.99 ! [V_a] : % 169.10/168.99 ( 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) % 169.10/168.99 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__zdiv__trivial,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__mult__self3,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_le__mod__geq,axiom, % 169.10/168.99 ! [V_m,V_n] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__zadd1__eq,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__int,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mult__mult1,axiom, % 169.10/168.99 ! [V_b,V_a,V_c,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mult__mult2,axiom, % 169.10/168.99 ! [V_b,V_a,V_c,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mult__self1__is__id,axiom, % 169.10/168.99 ! [V_a,V_b,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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 ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mult__self2__is__id,axiom, % 169.10/168.99 ! [V_a,V_b,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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 ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mult__mult1__if,axiom, % 169.10/168.99 ! [V_b,V_a,V_c,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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) ) % 169.10/168.99 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__self,axiom, % 169.10/168.99 ! [V_a,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__div__trivial,axiom, % 169.10/168.99 ! [V_b,V_a,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__mono1__neg,axiom, % 169.10/168.99 ! [V_b,V_a_H,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__mono1,axiom, % 169.10/168.99 ! [V_b,V_a_H,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__neg__neg__trivial,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a)) % 169.10/168.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__mono2__neg,axiom, % 169.10/168.99 ! [V_b,V_b_H,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 169.10/168.99 => 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))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__nonpos__pos__le0,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 169.10/168.99 ! [V_a_2,V_b_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__pos__pos__trivial,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 169.10/168.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__nonneg__neg__le0,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__mono2,axiom, % 169.10/168.99 ! [V_b,V_b_H,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b)) % 169.10/168.99 => 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))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 169.10/168.99 ! [V_b_2,V_a_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 169.10/168.99 ! [V_i_2,V_k_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 169.10/168.99 ! [V_a_2,V_b_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__eq__0__iff,axiom, % 169.10/168.99 ! [V_k_2,V_i_2] : % 169.10/168.99 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) ) % 169.10/168.99 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__le__divisor,axiom, % 169.10/168.99 ! [V_m,V_n] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_int__div__less__self,axiom, % 169.10/168.99 ! [V_k,V_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__zmult2__eq,axiom, % 169.10/168.99 ! [V_b,V_a,V_c] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__mult__self4,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__zdiv__equality,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__zmult1__eq,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__zmod__equality,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__zmod__equality2,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmult__div__cancel,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__zdiv__equality_H,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_power_Opower_Opower__0,axiom, % 169.10/168.99 ! [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 ). % 169.10/168.99 % 169.10/168.99 fof(fact_power_Opower_Opower__Suc,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mult__self1,axiom, % 169.10/168.99 ! [V_c,V_a,V_b,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mult__self2,axiom, % 169.10/168.99 ! [V_c,V_a,V_b,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__add__self1,axiom, % 169.10/168.99 ! [V_a,V_b,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__add__self2,axiom, % 169.10/168.99 ! [V_a,V_b,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mod__equality,axiom, % 169.10/168.99 ! [V_c,V_b,V_a,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mod__equality2,axiom, % 169.10/168.99 ! [V_c,V_a,V_b,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__div__equality,axiom, % 169.10/168.99 ! [V_b,V_a,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => 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 ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__div__equality2,axiom, % 169.10/168.99 ! [V_a,V_b,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => 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 ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_semiring__div__class_Omod__div__equality_H,axiom, % 169.10/168.99 ! [V_b,V_a,T_a] : % 169.10/168.99 ( class_Divides_Osemiring__div(T_a) % 169.10/168.99 => 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 ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__lemma,axiom, % 169.10/168.99 ! [V_q,V_b,V_r,V_c] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b)) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_split__mod,axiom, % 169.10/168.99 ! [V_k_2,V_na_2,V_Pa_2] : % 169.10/168.99 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_na_2,V_k_2))) % 169.10/168.99 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.99 => hBOOL(hAPP(V_Pa_2,V_na_2)) ) % 169.10/168.99 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.99 => ! [B_i,B_j] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 169.10/168.99 => ( 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) % 169.10/168.99 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Suc__times__mod__eq,axiom, % 169.10/168.99 ! [V_m,V_k] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k)) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nat__mod__distrib,axiom, % 169.10/168.99 ! [V_y,V_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom, % 169.10/168.99 ! [V_y,V_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_comm__monoid__big_Oinfinite,axiom, % 169.10/168.99 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 169.10/168.99 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2) % 169.10/168.99 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 169.10/168.99 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_split__zdiv,axiom, % 169.10/168.99 ! [V_k_2,V_na_2,V_Pa_2] : % 169.10/168.99 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_na_2),V_k_2))) % 169.10/168.99 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 169.10/168.99 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 169.10/168.99 => ! [B_i] : % 169.10/168.99 ( ? [B_j] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 169.10/168.99 & 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) ) % 169.10/168.99 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) % 169.10/168.99 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => ! [B_i] : % 169.10/168.99 ( ? [B_j] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 & 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) ) % 169.10/168.99 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divmod__int__rel__div__eq,axiom, % 169.10/168.99 ! [V_r_1,V_y,V_b_1,V_a_1] : % 169.10/168.99 ( 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) % 169.10/168.99 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 169.10/168.99 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__Suc__eq__mod__add3,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Suc__mod__eq__add3__mod,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__zmult2__eq,axiom, % 169.10/168.99 ! [V_b,V_a,V_c] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod2__Suc__Suc,axiom, % 169.10/168.99 ! [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)))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__zminus2__eq__if,axiom, % 169.10/168.99 ! [V_a,V_b] : % 169.10/168.99 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => 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)) ) % 169.10/168.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => 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)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__zminus1__eq__if,axiom, % 169.10/168.99 ! [V_a,V_b] : % 169.10/168.99 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => 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)) ) % 169.10/168.99 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => 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)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_split__pos__lemma,axiom, % 169.10/168.99 ! [V_na_2,V_Pa_2,V_k_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> ! [B_i,B_j] : % 169.10/168.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2)) % 169.10/168.99 & 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) ) % 169.10/168.99 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_split__neg__lemma,axiom, % 169.10/168.99 ! [V_na_2,V_Pa_2,V_k_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> ! [B_i,B_j] : % 169.10/168.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 & 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) ) % 169.10/168.99 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__nat__number__of,axiom, % 169.10/168.99 ! [V_v_H,V_v] : % 169.10/168.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.10/168.99 => 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) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.10/168.99 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 169.10/168.99 => 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) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 169.10/168.99 => 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))) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__number__of__Bit1,axiom, % 169.10/168.99 ! [V_v,V_w] : % 169.10/168.99 ( ( 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))) % 169.10/168.99 => 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)) ) % 169.10/168.99 & ( ~ 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))) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_int__power__div__base,axiom, % 169.10/168.99 ! [V_k,V_m] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 169.10/168.99 => 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)))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod2__gr__0,axiom, % 169.10/168.99 ! [V_m_2] : % 169.10/168.99 ( 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)))))) % 169.10/168.99 <=> 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_one__mod__nat__number__of,axiom, % 169.10/168.99 ! [V_v_H] : % 169.10/168.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 169.10/168.99 => 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)) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_z3div__def,axiom, % 169.10/168.99 ! [V_k,V_l] : % 169.10/168.99 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 169.10/168.99 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_power__m1__odd,axiom, % 169.10/168.99 ! [V_n,T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_power__m1__even,axiom, % 169.10/168.99 ! [V_n,T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_transfer__int__nat__set__relations_I4_J,axiom, % 169.10/168.99 ! [V_B_2,V_A_2] : % 169.10/168.99 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/168.99 => ( c_Nat__Transfer_Onat__set(V_B_2) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.10/168.99 <=> 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))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_transfer__int__nat__set__relations_I5_J,axiom, % 169.10/168.99 ! [V_B_2,V_A_2] : % 169.10/168.99 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/168.99 => ( c_Nat__Transfer_Onat__set(V_B_2) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.10/168.99 <=> 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))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Suc__n__div__2__gt__zero,axiom, % 169.10/168.99 ! [V_n] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/168.99 => 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)))))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__add1__eq,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__le__mono,axiom, % 169.10/168.99 ! [V_k,V_n,V_m] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 169.10/168.99 => 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))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__le__dividend,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mult2__eq,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I24_J,axiom, % 169.10/168.99 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I7_J,axiom, % 169.10/168.99 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I37_J,axiom, % 169.10/168.99 c_Int_OPls != c_Int_OMin ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I40_J,axiom, % 169.10/168.99 c_Int_OMin != c_Int_OPls ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I47_J,axiom, % 169.10/168.99 ! [V_k_2] : % 169.10/168.99 ( c_Int_OBit1(V_k_2) = c_Int_OMin % 169.10/168.99 <=> V_k_2 = c_Int_OMin ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I43_J,axiom, % 169.10/168.99 ! [V_l_2] : % 169.10/168.99 ( c_Int_OMin = c_Int_OBit1(V_l_2) % 169.10/168.99 <=> c_Int_OMin = V_l_2 ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Bit1__Min,axiom, % 169.10/168.99 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I45_J,axiom, % 169.10/168.99 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I42_J,axiom, % 169.10/168.99 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__1,axiom, % 169.10/168.99 ! [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 ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__less,axiom, % 169.10/168.99 ! [V_n,V_m] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 169.10/168.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nat__mult__div__cancel__disj,axiom, % 169.10/168.99 ! [V_n,V_m,V_k] : % 169.10/168.99 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.99 => 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) ) % 169.10/168.99 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mult1__eq,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mod__mult2__eq,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Divides_Omod__div__equality_H,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mult__div__cancel,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mod__equality_H,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__int,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_bin__less__0__simps_I2_J,axiom, % 169.10/168.99 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I23_J,axiom, % 169.10/168.99 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I20_J,axiom, % 169.10/168.99 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I30_J,axiom, % 169.10/168.99 ! [V_k_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I26_J,axiom, % 169.10/168.99 ! [V_k_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I3_J,axiom, % 169.10/168.99 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I6_J,axiom, % 169.10/168.99 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I9_J,axiom, % 169.10/168.99 ! [V_k_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I13_J,axiom, % 169.10/168.99 ! [V_k_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin)) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I28_J,axiom, % 169.10/168.99 ! [V_k_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I8_J,axiom, % 169.10/168.99 ! [V_k_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_eq__number__of__Pls__Min,axiom, % 169.10/168.99 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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Int_OMin__def,axiom, % 169.10/168.99 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mult__Min,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_neg__number__of__Min,axiom, % 169.10/168.99 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pred__Pls,axiom, % 169.10/168.99 c_Int_Opred(c_Int_OPls) = c_Int_OMin ). % 169.10/168.99 % 169.10/168.99 fof(fact_add__Min__right,axiom, % 169.10/168.99 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ). % 169.10/168.99 % 169.10/168.99 fof(fact_add__Min,axiom, % 169.10/168.99 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pred__Min,axiom, % 169.10/168.99 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom, % 169.10/168.99 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nonzero__number__of__Min,axiom, % 169.10/168.99 ! [T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_succ__Min,axiom, % 169.10/168.99 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ). % 169.10/168.99 % 169.10/168.99 fof(fact_diff__bin__simps_I2_J,axiom, % 169.10/168.99 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nat__set__def,axiom, % 169.10/168.99 ! [V_S_2] : % 169.10/168.99 ( c_Nat__Transfer_Onat__set(V_S_2) % 169.10/168.99 <=> ! [B_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2)) % 169.10/168.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__le__mono2,axiom, % 169.10/168.99 ! [V_k,V_n,V_m] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nat__mult__div__cancel1,axiom, % 169.10/168.99 ! [V_n,V_m,V_k] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mult__self__is__m,axiom, % 169.10/168.99 ! [V_m,V_n] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/168.99 => 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 ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__mult__self1__is__m,axiom, % 169.10/168.99 ! [V_m,V_n] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/168.99 => 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 ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__less__dividend,axiom, % 169.10/168.99 ! [V_m,V_n] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mult__minus1,axiom, % 169.10/168.99 ! [V_z,T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_mult__minus1__right,axiom, % 169.10/168.99 ! [V_z,T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_number__of__Min,axiom, % 169.10/168.99 ! [T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_arith__simps_I31_J,axiom, % 169.10/168.99 ! [T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_transfer__int__nat__set__relations_I3_J,axiom, % 169.10/168.99 ! [V_B_2,V_A_2] : % 169.10/168.99 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/168.99 => ( c_Nat__Transfer_Onat__set(V_B_2) % 169.10/168.99 => ( V_A_2 = V_B_2 % 169.10/168.99 <=> 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) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I25_J,axiom, % 169.10/168.99 ! [V_k_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_rel__simps_I11_J,axiom, % 169.10/168.99 ! [V_k_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin)) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__minus1__right,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_diff__bin__simps_I4_J,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_minus__Min,axiom, % 169.10/168.99 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmult__eq__1__iff,axiom, % 169.10/168.99 ! [V_na_2,V_m_2] : % 169.10/168.99 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_na_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 169.10/168.99 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 169.10/168.99 & V_na_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 169.10/168.99 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) % 169.10/168.99 & V_na_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pos__zmult__eq__1__iff__lemma,axiom, % 169.10/168.99 ! [V_n,V_m] : % 169.10/168.99 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 169.10/168.99 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint) % 169.10/168.99 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_diff__bin__simps_I6_J,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_diff__bin__simps_I5_J,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zdiv__minus1__right,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__if,axiom, % 169.10/168.99 ! [V_m,V_n] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/168.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 169.10/168.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 169.10/168.99 => 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)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__geq,axiom, % 169.10/168.99 ! [V_m,V_n] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/168.99 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_split__div,axiom, % 169.10/168.99 ! [V_k_2,V_na_2,V_Pa_2] : % 169.10/168.99 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_na_2),V_k_2))) % 169.10/168.99 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.99 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 169.10/168.99 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.99 => ! [B_i,B_j] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2)) % 169.10/168.99 => ( 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) % 169.10/168.99 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom, % 169.10/168.99 ! [V_y,V_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nat__div__distrib,axiom, % 169.10/168.99 ! [V_y,V_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x)) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__eq__minus1,axiom, % 169.10/168.99 ! [V_b] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom, % 169.10/168.99 ! [V_x_2,V_A_2] : % 169.10/168.99 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 169.10/168.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_le__div__geq,axiom, % 169.10/168.99 ! [V_m,V_n] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_split__div_H,axiom, % 169.10/168.99 ! [V_na_2,V_m_2,V_Pa_2] : % 169.10/168.99 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2))) % 169.10/168.99 <=> ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/168.99 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 169.10/168.99 | ? [B_q] : % 169.10/168.99 ( 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)) % 169.10/168.99 & 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)))) % 169.10/168.99 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_split__div__lemma,axiom, % 169.10/168.99 ! [V_m_2,V_q_2,V_na_2] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 169.10/168.99 => ( ( 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)) % 169.10/168.99 & 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)))) ) % 169.10/168.99 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_na_2) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Suc__div__eq__add3__div__number__of,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Suc__div__eq__add3__div,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__Suc__eq__div__add3,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div2__Suc__Suc,axiom, % 169.10/168.99 ! [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))))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_add__self__div__2,axiom, % 169.10/168.99 ! [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 ). % 169.10/168.99 % 169.10/168.99 fof(fact_transfer__nat__int__set__return__embed,axiom, % 169.10/168.99 ! [V_A_2] : % 169.10/168.99 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/168.99 => 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 ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__nat__number__of,axiom, % 169.10/168.99 ! [V_v_H,V_v] : % 169.10/168.99 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.10/168.99 => 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) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__pos__neg__trivial,axiom, % 169.10/168.99 ! [V_b,V_a] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/168.99 => ( 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))) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zmod__minus1,axiom, % 169.10/168.99 ! [V_b] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_transfer__int__nat__set__relations_I1_J,axiom, % 169.10/168.99 ! [V_A_2] : % 169.10/168.99 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2)) % 169.10/168.99 <=> 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom, % 169.10/168.99 ! [V_A_2] : % 169.10/168.99 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_div__2__gt__zero,axiom, % 169.10/168.99 ! [V_n] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) % 169.10/168.99 => 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)))))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_one__div__nat__number__of,axiom, % 169.10/168.99 ! [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))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_int__of__code,axiom, % 169.10/168.99 ! [V_k] : % 169.10/168.99 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.10/168.99 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 169.10/168.99 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.10/168.99 => ( ( 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) % 169.10/168.99 => 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)))))) ) % 169.10/168.99 & ( 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) % 169.10/168.99 => 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)) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_transfer__int__nat__set__relations_I2_J,axiom, % 169.10/168.99 ! [V_A_2,V_x_2] : % 169.10/168.99 ( c_Nat__Transfer_Ois__nat(V_x_2) % 169.10/168.99 => ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 169.10/168.99 <=> 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))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_card__greaterThanLessThan__int,axiom, % 169.10/168.99 ! [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)))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_one__code__numeral__code,axiom, % 169.10/168.99 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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min_Oremove,axiom, % 169.10/168.99 ! [V_x_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/168.99 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/168.99 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) % 169.10/168.99 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/168.99 => 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)))))) ) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__of__nat,axiom, % 169.10/168.99 ! [V_k,T_a] : % 169.10/168.99 ( class_Rings_Oring__1(T_a) % 169.10/168.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => 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)))) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => 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)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_finite__greaterThanLessThan__int,axiom, % 169.10/168.99 ! [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))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__eq__iff,axiom, % 169.10/168.99 ! [V_z_2,V_w_2,T_b] : % 169.10/168.99 ( class_Int_Oring__char__0(T_b) % 169.10/168.99 => ( 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) % 169.10/168.99 <=> V_w_2 = V_z_2 ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_code__numeral__zero__minus__one,axiom, % 169.10/168.99 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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_number__of__eq,axiom, % 169.10/168.99 ! [V_k,T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_int__number__of__def,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__int__eq,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom, % 169.10/168.99 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom, % 169.10/168.99 ! [V_y,V_x] : % 169.10/168.99 ( c_Nat__Transfer_Ois__nat(V_x) % 169.10/168.99 => ( c_Nat__Transfer_Ois__nat(V_y) % 169.10/168.99 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom, % 169.10/168.99 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom, % 169.10/168.99 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom, % 169.10/168.99 ! [V_y,V_x] : % 169.10/168.99 ( c_Nat__Transfer_Ois__nat(V_x) % 169.10/168.99 => ( c_Nat__Transfer_Ois__nat(V_y) % 169.10/168.99 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom, % 169.10/168.99 ! [V_y,V_x] : % 169.10/168.99 ( c_Nat__Transfer_Ois__nat(V_x) % 169.10/168.99 => ( c_Nat__Transfer_Ois__nat(V_y) % 169.10/168.99 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom, % 169.10/168.99 ! [V_y,V_x] : % 169.10/168.99 ( c_Nat__Transfer_Ois__nat(V_x) % 169.10/168.99 => ( c_Nat__Transfer_Ois__nat(V_y) % 169.10/168.99 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom, % 169.10/168.99 ! [V_n,V_x] : % 169.10/168.99 ( c_Nat__Transfer_Ois__nat(V_x) % 169.10/168.99 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom, % 169.10/168.99 ! [V_y,V_x] : % 169.10/168.99 ( c_Nat__Transfer_Ois__nat(V_x) % 169.10/168.99 => ( c_Nat__Transfer_Ois__nat(V_y) % 169.10/168.99 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__eq__0__iff,axiom, % 169.10/168.99 ! [V_z_2,T_b] : % 169.10/168.99 ( class_Int_Oring__char__0(T_b) % 169.10/168.99 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.99 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__0__eq__iff,axiom, % 169.10/168.99 ! [V_z_2,T_b] : % 169.10/168.99 ( class_Int_Oring__char__0(T_b) % 169.10/168.99 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) % 169.10/168.99 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__0,axiom, % 169.10/168.99 ! [T_a] : % 169.10/168.99 ( class_Rings_Oring__1(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__le__iff,axiom, % 169.10/168.99 ! [V_z_2,V_w_2,T_b] : % 169.10/168.99 ( class_Rings_Olinordered__idom(T_b) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__less__iff,axiom, % 169.10/168.99 ! [V_z_2,V_w_2,T_b] : % 169.10/168.99 ( class_Rings_Olinordered__idom(T_b) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__add,axiom, % 169.10/168.99 ! [V_z,V_w,T_a] : % 169.10/168.99 ( class_Rings_Oring__1(T_a) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__number__of__eq,axiom, % 169.10/168.99 ! [V_v,T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__mult,axiom, % 169.10/168.99 ! [V_z,V_w,T_a] : % 169.10/168.99 ( class_Rings_Oring__1(T_a) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__1,axiom, % 169.10/168.99 ! [T_a] : % 169.10/168.99 ( class_Rings_Oring__1(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__diff,axiom, % 169.10/168.99 ! [V_z,V_w,T_a] : % 169.10/168.99 ( class_Rings_Oring__1(T_a) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min_Osingleton,axiom, % 169.10/168.99 ! [V_x_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => 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 ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__of__nat__eq,axiom, % 169.10/168.99 ! [V_n,T_a] : % 169.10/168.99 ( class_Rings_Oring__1(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__minus,axiom, % 169.10/168.99 ! [V_z,T_a] : % 169.10/168.99 ( class_Rings_Oring__1(T_a) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Ints__of__int,axiom, % 169.10/168.99 ! [V_z_2,T_b] : % 169.10/168.99 ( class_Rings_Oring__1(T_b) % 169.10/168.99 => 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))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__power,axiom, % 169.10/168.99 ! [V_n,V_z,T_a] : % 169.10/168.99 ( class_Rings_Oring__1(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_is__nat__def,axiom, % 169.10/168.99 ! [V_x_2] : % 169.10/168.99 ( c_Nat__Transfer_Ois__nat(V_x_2) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_greaterThanLessThan__empty,axiom, % 169.10/168.99 ! [V_k_2,V_l_2,T_b] : % 169.10/168.99 ( class_Orderings_Oorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_image__uminus__greaterThanLessThan,axiom, % 169.10/168.99 ! [V_y_2,V_x_2,T_b] : % 169.10/168.99 ( class_Groups_Oordered__ab__group__add(T_b) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min__le,axiom, % 169.10/168.99 ! [V_x_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/168.99 => 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)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom, % 169.10/168.99 ! [V_x_2,V_A_2] : % 169.10/168.99 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2)) % 169.10/168.99 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min__in,axiom, % 169.10/168.99 ! [V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zero__code__numeral__code,axiom, % 169.10/168.99 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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min_Oin__idem,axiom, % 169.10/168.99 ! [V_x_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/168.99 => 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) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__m1,axiom, % 169.10/168.99 ! [T_a] : % 169.10/168.99 ( class_Int_Onumber__ring(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min_OF__eq,axiom, % 169.10/168.99 ! [V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom, % 169.10/168.99 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__le__0__iff,axiom, % 169.10/168.99 ! [V_z_2,T_b] : % 169.10/168.99 ( class_Rings_Olinordered__idom(T_b) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__0__le__iff,axiom, % 169.10/168.99 ! [V_z_2,T_b] : % 169.10/168.99 ( class_Rings_Olinordered__idom(T_b) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__less__0__iff,axiom, % 169.10/168.99 ! [V_z_2,T_b] : % 169.10/168.99 ( class_Rings_Olinordered__idom(T_b) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__0__less__iff,axiom, % 169.10/168.99 ! [V_z_2,T_b] : % 169.10/168.99 ( class_Rings_Olinordered__idom(T_b) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min__antimono,axiom, % 169.10/168.99 ! [V_N_2,V_M_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 169.10/168.99 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 169.10/168.99 => 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))) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__nat__nat,axiom, % 169.10/168.99 ! [V_z,T_a] : % 169.10/168.99 ( class_Rings_Oring__1(T_a) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z)) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min__insert,axiom, % 169.10/168.99 ! [V_x_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.99 => 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)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min_Osubset__idem,axiom, % 169.10/168.99 ! [V_B_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.10/168.99 => 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) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom, % 169.10/168.99 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min_Oinsert,axiom, % 169.10/168.99 ! [V_x_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/168.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.99 => 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)) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min_Oinsert__remove,axiom, % 169.10/168.99 ! [V_x_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/168.99 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 169.10/168.99 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/168.99 => 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)))))) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nat__of__aux__code,axiom, % 169.10/168.99 ! [V_n,V_i] : % 169.10/168.99 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.10/168.99 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n ) % 169.10/168.99 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__num,axiom, % 169.10/168.99 ! [V_k_2,T_b] : % 169.10/168.99 ( class_Rings_Oring__1(T_b) % 169.10/168.99 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) ) % 169.10/168.99 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => 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))) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/168.99 => 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))))) ) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Min_Oclosed,axiom, % 169.10/168.99 ! [V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.99 => ( ! [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)))))) % 169.10/168.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_code__numeral_Osize_I1_J,axiom, % 169.10/168.99 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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_min__max_OInf__fin_Oremove,axiom, % 169.10/168.99 ! [V_x_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/168.99 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/168.99 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 ) % 169.10/168.99 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/168.99 => 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)))))) ) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__gen__delta,axiom, % 169.10/168.99 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.10/168.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 169.10/168.99 => 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)))) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 169.10/168.99 => 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)) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_finite__greaterThanLessThan,axiom, % 169.10/168.99 ! [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))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__int__setprod,axiom, % 169.10/168.99 ! [V_A_2,V_f_2,T_c,T_b] : % 169.10/168.99 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 169.10/168.99 & class_Rings_Oring__1(T_b) ) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_int__setprod,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_of__nat__setprod,axiom, % 169.10/168.99 ! [V_A_2,V_f_2,T_c,T_b] : % 169.10/168.99 ( ( class_Groups_Ocomm__monoid__mult(T_b) % 169.10/168.99 & class_Rings_Osemiring__1(T_b) ) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__timesf,axiom, % 169.10/168.99 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_b) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__1,axiom, % 169.10/168.99 ! [V_A_2,T_c,T_b] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_b) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom, % 169.10/168.99 ! [V_A_2,V_f_2,T_b] : % 169.10/168.99 ( ( class_Groups_Ocomm__monoid__add(T_b) % 169.10/168.99 & class_Groups_Ocomm__monoid__mult(T_b) ) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__zero__iff,axiom, % 169.10/168.99 ! [V_f_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( ( class_Rings_Ocomm__semiring__1(T_c) % 169.10/168.99 & class_Rings_Ono__zero__divisors(T_c) ) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( 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) % 169.10/168.99 <=> ? [B_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.10/168.99 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__zero,axiom, % 169.10/168.99 ! [V_f_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Rings_Ocomm__semiring__1(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( ? [B_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.10/168.99 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 169.10/168.99 => 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) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__empty,axiom, % 169.10/168.99 ! [V_f_2,T_c,T_b] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_b) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod_Oempty,axiom, % 169.10/168.99 ! [V_g_2,T_c,T_b] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_b) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__infinite,axiom, % 169.10/168.99 ! [V_f_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod_Oinfinite,axiom, % 169.10/168.99 ! [V_g_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__eq__1__iff,axiom, % 169.10/168.99 ! [V_f_2,V_F_2,T_b] : % 169.10/168.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 169.10/168.99 => ( 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) % 169.10/168.99 <=> ! [B_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 169.10/168.99 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom, % 169.10/168.99 ! [V_f_2,V_A_2,T_b] : % 169.10/168.99 ( ( class_Groups_Ocomm__monoid__add(T_b) % 169.10/168.99 & class_Groups_Ocomm__monoid__mult(T_b) ) % 169.10/168.99 => ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod_Odistrib,axiom, % 169.10/168.99 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__pos__nat__iff,axiom, % 169.10/168.99 ! [V_f_2,V_S_2,T_b] : % 169.10/168.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.10/168.99 => ( 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))) % 169.10/168.99 <=> ! [B_x] : % 169.10/168.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 169.10/168.99 => 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))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__delta,axiom, % 169.10/168.99 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.10/168.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 169.10/168.99 => 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) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 169.10/168.99 => 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) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__delta_H,axiom, % 169.10/168.99 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.10/168.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 169.10/168.99 => 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) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 169.10/168.99 => 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) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__constant,axiom, % 169.10/168.99 ! [V_y_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_min__max_OInf__fin_Oin__idem,axiom, % 169.10/168.99 ! [V_x_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/168.99 => 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) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_min__max_OInf__fin_Osingleton,axiom, % 169.10/168.99 ! [V_x_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => 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 ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod_Oinsert,axiom, % 169.10/168.99 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/168.99 => 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)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__insert,axiom, % 169.10/168.99 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.10/168.99 => 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)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_min__max_OInf__fin_OF__eq,axiom, % 169.10/168.99 ! [V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod_OF__eq,axiom, % 169.10/168.99 ! [V_g_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => 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) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => 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) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod_Oeq__fold,axiom, % 169.10/168.99 ! [V_g_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod_Oinsert__remove,axiom, % 169.10/168.99 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => 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)))))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_card__greaterThanLessThan,axiom, % 169.10/168.99 ! [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)) ). % 169.10/168.99 % 169.10/168.99 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom, % 169.10/168.99 ! [V_x_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.99 => 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)) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_min__max_OInf__fin_Osubset__idem,axiom, % 169.10/168.99 ! [V_B_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.10/168.99 => 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) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod_Oremove,axiom, % 169.10/168.99 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/168.99 => 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)))))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_min__max_OInf__fin_Oinsert,axiom, % 169.10/168.99 ! [V_x_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/168.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.99 => 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)) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom, % 169.10/168.99 ! [V_x_2,V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/168.99 => 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 ) % 169.10/168.99 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/168.99 => 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)))))) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_code__numeral_Osize_I2_J,axiom, % 169.10/168.99 ! [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))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_min__max_OInf__fin_Oclosed,axiom, % 169.10/168.99 ! [V_A_2,T_b] : % 169.10/168.99 ( class_Orderings_Olinorder(T_b) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/168.99 => ( ! [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)))))) % 169.10/168.99 => 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)) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divmod__int__rel__def,axiom, % 169.10/168.99 ! [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))))))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_Nitpick_OFrac__def,axiom, % 169.10/168.99 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)))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__diff1,axiom, % 169.10/168.99 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Fields_Ofield(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c) % 169.10/168.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.10/168.99 => 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)) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.10/168.99 => 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) ) ) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_adjust__def,axiom, % 169.10/168.99 ! [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))))))) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divide__zero__left,axiom, % 169.10/168.99 ! [V_a,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divide__zero,axiom, % 169.10/168.99 ! [V_a,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_bot__empty__eq2,axiom, % 169.10/168.99 ! [V_y_2,V_x_2,T_c,T_b] : % 169.10/168.99 ( 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)) % 169.10/168.99 <=> 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)))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pred__equals__eq2,axiom, % 169.10/168.99 ! [V_S_2,V_R_2,T_c,T_b] : % 169.10/168.99 ( 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) % 169.10/168.99 <=> V_R_2 = V_S_2 ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_pred__subset__eq2,axiom, % 169.10/168.99 ! [V_S_2,V_R_2,T_c,T_b] : % 169.10/168.99 ( 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))) % 169.10/168.99 <=> 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_unique__remainder,axiom, % 169.10/168.99 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 169.10/168.99 ( 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))) % 169.10/168.99 => ( 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))) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => V_r = V_r_H ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_unique__quotient,axiom, % 169.10/168.99 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] : % 169.10/168.99 ( 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))) % 169.10/168.99 => ( 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))) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => V_q = V_q_H ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_self__remainder,axiom, % 169.10/168.99 ! [V_r,V_q,V_a] : % 169.10/168.99 ( 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))) % 169.10/168.99 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divmod__int__rel__0,axiom, % 169.10/168.99 ! [V_b] : % 169.10/168.99 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => 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)))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_code__numeral_Oinject,axiom, % 169.10/168.99 ! [V_code__numeral_H_2,V_code__numeral_2] : % 169.10/168.99 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2) % 169.10/168.99 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_add__divide__distrib,axiom, % 169.10/168.99 ! [V_c,V_b,V_a,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_a) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_times__divide__eq__right,axiom, % 169.10/168.99 ! [V_c,V_b,V_a,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_diff__divide__distrib,axiom, % 169.10/168.99 ! [V_c,V_b,V_a,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_a) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divide__1,axiom, % 169.10/168.99 ! [V_a,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_a) % 169.10/168.99 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_minus__divide__left,axiom, % 169.10/168.99 ! [V_b,V_a,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_power__divide,axiom, % 169.10/168.99 ! [V_n,V_b,V_a,T_a] : % 169.10/168.99 ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/168.99 => 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)) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_self__quotient,axiom, % 169.10/168.99 ! [V_r,V_q,V_a] : % 169.10/168.99 ( 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))) % 169.10/168.99 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divmod__int__rel__mod,axiom, % 169.10/168.99 ! [V_r,V_q,V_b,V_a] : % 169.10/168.99 ( 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))) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divmod__int__rel__div,axiom, % 169.10/168.99 ! [V_r,V_q,V_b,V_a] : % 169.10/168.99 ( 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))) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divmod__int__rel__div__mod,axiom, % 169.10/168.99 ! [V_a,V_b] : % 169.10/168.99 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => 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)))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_eq__divide__imp,axiom, % 169.10/168.99 ! [V_b,V_a,V_c,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_a) % 169.10/168.99 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b % 169.10/168.99 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divide__eq__imp,axiom, % 169.10/168.99 ! [V_a,V_b,V_c,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_a) % 169.10/168.99 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) % 169.10/168.99 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nonzero__divide__eq__eq,axiom, % 169.10/168.99 ! [V_a_2,V_b_2,V_c_2,T_b] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_b) % 169.10/168.99 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.99 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 169.10/168.99 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nonzero__eq__divide__eq,axiom, % 169.10/168.99 ! [V_b_2,V_a_2,V_c_2,T_b] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_b) % 169.10/168.99 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.99 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 169.10/168.99 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_right__inverse__eq,axiom, % 169.10/168.99 ! [V_a_2,V_b_2,T_b] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_b) % 169.10/168.99 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.99 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b) % 169.10/168.99 <=> V_a_2 = V_b_2 ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divide__self,axiom, % 169.10/168.99 ! [V_a,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_a) % 169.10/168.99 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divide__self__if,axiom, % 169.10/168.99 ! [V_a,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 169.10/168.99 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) % 169.10/168.99 & ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nonzero__minus__divide__right,axiom, % 169.10/168.99 ! [V_a,V_b,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_a) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nonzero__minus__divide__divide,axiom, % 169.10/168.99 ! [V_a,V_b,T_a] : % 169.10/168.99 ( class_Rings_Odivision__ring(T_a) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_nonzero__power__divide,axiom, % 169.10/168.99 ! [V_n,V_a,V_b,T_a] : % 169.10/168.99 ( class_Fields_Ofield(T_a) % 169.10/168.99 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_power__one__over,axiom, % 169.10/168.99 ! [V_n,V_a,T_a] : % 169.10/168.99 ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/168.99 => 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) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_code__numeral_Osimps_I2_J,axiom, % 169.10/168.99 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ). % 169.10/168.99 % 169.10/168.99 fof(fact_code__numeral_Osimps_I3_J,axiom, % 169.10/168.99 ! [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) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zadd1__lemma,axiom, % 169.10/168.99 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 169.10/168.99 ( 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))) % 169.10/168.99 => ( 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))) % 169.10/168.99 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/168.99 => 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)))) ) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_zminus1__lemma,axiom, % 169.10/168.99 ! [V_r_2,V_q_2,V_b_2,V_a_2] : % 169.10/168.99 ( 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))) % 169.10/168.99 => 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))))) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_setprod__dividef,axiom, % 169.10/168.99 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 169.10/168.99 ( class_Fields_Ofield__inverse__zero(T_c) % 169.10/168.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/168.99 => 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)) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divmod__int__relI,axiom, % 169.10/168.99 ! [V_r,V_q,V_b,V_a] : % 169.10/168.99 ( 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) % 169.10/168.99 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) ) % 169.10/168.99 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/168.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r)) % 169.10/168.99 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) % 169.10/168.99 => 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))) ) ) ). % 169.10/168.99 % 169.10/168.99 fof(fact_divide__eq__eq__number__of1,axiom, % 169.10/168.99 ! [V_a_2,V_w_2,V_b_2,T_b] : % 169.10/168.99 ( ( class_Fields_Ofield__inverse__zero(T_b) % 169.10/168.99 & class_Int_Onumber(T_b) ) % 169.10/168.99 => ( 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 % 169.10/168.99 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.99 => 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)) ) % 169.10/168.99 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 169.10/168.99 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__eq__eq__number__of,axiom, % 169.10/169.00 ! [V_w_2,V_c_2,V_b_2,T_b] : % 169.10/169.00 ( ( class_Fields_Ofield__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber(T_b) ) % 169.10/169.00 => ( 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) % 169.10/169.00 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => 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) ) % 169.10/169.00 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_eq__divide__eq__number__of,axiom, % 169.10/169.00 ! [V_c_2,V_b_2,V_w_2,T_b] : % 169.10/169.00 ( ( class_Fields_Ofield__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber(T_b) ) % 169.10/169.00 => ( 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) % 169.10/169.00 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => 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 ) % 169.10/169.00 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_eq__divide__eq__number__of1,axiom, % 169.10/169.00 ! [V_w_2,V_b_2,V_a_2,T_b] : % 169.10/169.00 ( ( class_Fields_Ofield__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber(T_b) ) % 169.10/169.00 => ( 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)) % 169.10/169.00 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => 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 ) % 169.10/169.00 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_zmult1__lemma,axiom, % 169.10/169.00 ! [V_a,V_r,V_q,V_c,V_b] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/169.00 => 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)))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__Numeral0,axiom, % 169.10/169.00 ! [V_x,T_a] : % 169.10/169.00 ( ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/169.00 & class_Int_Onumber__ring(T_a) ) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__Numeral1,axiom, % 169.10/169.00 ! [V_x,T_a] : % 169.10/169.00 ( ( class_Fields_Ofield(T_a) % 169.10/169.00 & class_Int_Onumber__ring(T_a) ) % 169.10/169.00 => 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 ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__numeral__1,axiom, % 169.10/169.00 ! [V_a,T_a] : % 169.10/169.00 ( ( class_Fields_Ofield(T_a) % 169.10/169.00 & class_Int_Onumber__ring(T_a) ) % 169.10/169.00 => 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 ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__minus1,axiom, % 169.10/169.00 ! [V_x,T_a] : % 169.10/169.00 ( ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/169.00 & class_Int_Onumber__ring(T_a) ) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__int__correct,axiom, % 169.10/169.00 ! [V_a,V_b] : % 169.10/169.00 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/169.00 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_zmult2__lemma,axiom, % 169.10/169.00 ! [V_c,V_r,V_q,V_b,V_a] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c)) % 169.10/169.00 => 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)))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__int__mod__div,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__less__eq__number__of1,axiom, % 169.10/169.00 ! [V_a_2,V_w_2,V_b_2,T_b] : % 169.10/169.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber(T_b) ) % 169.10/169.00 => ( 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)) % 169.10/169.00 <=> ( ( 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))) % 169.10/169.00 => 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)))) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => ( ( 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))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__less__eq__number__of,axiom, % 169.10/169.00 ! [V_w_2,V_c_2,V_b_2,T_b] : % 169.10/169.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber(T_b) ) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => 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))) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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))) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_less__divide__eq__number__of,axiom, % 169.10/169.00 ! [V_c_2,V_b_2,V_w_2,T_b] : % 169.10/169.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber(T_b) ) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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))) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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))) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_less__divide__eq__number__of1,axiom, % 169.10/169.00 ! [V_w_2,V_b_2,V_a_2,T_b] : % 169.10/169.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber(T_b) ) % 169.10/169.00 => ( 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)))) % 169.10/169.00 <=> ( ( 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))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => ( ( 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))) % 169.10/169.00 => 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)))) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_power__diff,axiom, % 169.10/169.00 ! [V_m,V_n,V_a,T_a] : % 169.10/169.00 ( class_Fields_Ofield(T_a) % 169.10/169.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_minus1__divide,axiom, % 169.10/169.00 ! [V_x,T_a] : % 169.10/169.00 ( ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/169.00 & class_Int_Onumber__ring(T_a) ) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Suc__code__numeral__minus__one,axiom, % 169.10/169.00 ! [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 ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__le__eq__number__of1,axiom, % 169.10/169.00 ! [V_a_2,V_w_2,V_b_2,T_b] : % 169.10/169.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber(T_b) ) % 169.10/169.00 => ( 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)) % 169.10/169.00 <=> ( ( 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))) % 169.10/169.00 => 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)))) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => ( ( 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))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__le__eq__number__of,axiom, % 169.10/169.00 ! [V_w_2,V_c_2,V_b_2,T_b] : % 169.10/169.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber(T_b) ) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => 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))) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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))) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_le__divide__eq__number__of,axiom, % 169.10/169.00 ! [V_c_2,V_b_2,V_w_2,T_b] : % 169.10/169.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber(T_b) ) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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))) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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))) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_le__divide__eq__number__of1,axiom, % 169.10/169.00 ! [V_w_2,V_b_2,V_a_2,T_b] : % 169.10/169.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber(T_b) ) % 169.10/169.00 => ( 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)))) % 169.10/169.00 <=> ( ( 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))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => ( ( 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))) % 169.10/169.00 => 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)))) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_half__gt__zero,axiom, % 169.10/169.00 ! [V_r,T_a] : % 169.10/169.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_a) % 169.10/169.00 & class_Int_Onumber__ring(T_a) ) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r)) % 169.10/169.00 => 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)))))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_half__gt__zero__iff,axiom, % 169.10/169.00 ! [V_r_2,T_b] : % 169.10/169.00 ( ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 & class_Int_Onumber__ring(T_b) ) % 169.10/169.00 => ( 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)))))) % 169.10/169.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_adjust__eq,axiom, % 169.10/169.00 ! [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))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_pair__imageI,axiom, % 169.10/169.00 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 169.10/169.00 ( 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)) % 169.10/169.00 => 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_norm__frac_Osimps,axiom, % 169.10/169.00 ! [V_a_2,V_b_2] : % 169.10/169.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/169.00 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/169.00 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 169.10/169.00 => 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))) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_negDivAlg__eqn__1__number__of,axiom, % 169.10/169.00 ! [V_w] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ( 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)))) % 169.10/169.00 => 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))) ) % 169.10/169.00 & ( ~ 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)))) % 169.10/169.00 => 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)))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_splitI,axiom, % 169.10/169.00 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) % 169.10/169.00 => 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_prod__caseI,axiom, % 169.10/169.00 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2)) % 169.10/169.00 => 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mem__splitI,axiom, % 169.10/169.00 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2))) % 169.10/169.00 => 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)))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_bot2E,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_splitD_H,axiom, % 169.10/169.00 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] : % 169.10/169.00 ( 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)) % 169.10/169.00 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_less__by__empty,axiom, % 169.10/169.00 ! [V_B_2,T_b,V_A_2] : % 169.10/169.00 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_predicate2D,axiom, % 169.10/169.00 ! [V_y_2,V_x_2,V_Q_2,V_Pa_2,T_c,T_b] : % 169.10/169.00 ( 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)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 169.10/169.00 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_rev__predicate2D,axiom, % 169.10/169.00 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 169.10/169.00 => ( 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)) % 169.10/169.00 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_split__paired__All,axiom, % 169.10/169.00 ! [T_c,T_b,V_Pa_2] : % 169.10/169.00 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 169.10/169.00 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Pair__eq,axiom, % 169.10/169.00 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 169.10/169.00 ( 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) % 169.10/169.00 <=> ( V_a_2 = V_a_H_2 % 169.10/169.00 & V_b_2 = V_b_H_2 ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Pair__inject,axiom, % 169.10/169.00 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] : % 169.10/169.00 ( 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) % 169.10/169.00 => ~ ( V_a = V_a_H % 169.10/169.00 => V_b != V_b_H ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_split__weak__cong,axiom, % 169.10/169.00 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] : % 169.10/169.00 ( V_p_2 = V_q_2 % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_negDivAlg__correct,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_prod_Osimps_I2_J,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_split__conv,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_splitD,axiom, % 169.10/169.00 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 169.10/169.00 ( 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))) % 169.10/169.00 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_negDivAlg__div__mod,axiom, % 169.10/169.00 ! [V_l,V_k] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_negDivAlg__minus1,axiom, % 169.10/169.00 ! [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))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_split__eta,axiom, % 169.10/169.00 ! [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 ). % 169.10/169.00 % 169.10/169.00 fof(fact_split__paired__The,axiom, % 169.10/169.00 ! [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)))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_The__split__eq,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_swap__inj__on,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_split__twice,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_negDivAlg_Osimps,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( ( ( 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))) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ ( 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))) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 169.10/169.00 => 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))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_negDivAlg__eqn,axiom, % 169.10/169.00 ! [V_a,V_b] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => ( ( 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))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_negDivAlg__eqn__number__of,axiom, % 169.10/169.00 ! [V_w,V_v] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ( 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)))) % 169.10/169.00 => 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))) ) % 169.10/169.00 & ( ~ 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)))) % 169.10/169.00 => 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)))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_in__rel__def,axiom, % 169.10/169.00 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2)) % 169.10/169.00 <=> 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_div__mod__code__numeral__def,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_le__divide__eq,axiom, % 169.10/169.00 ! [V_c_2,V_b_2,V_a_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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))) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__le__eq,axiom, % 169.10/169.00 ! [V_a_2,V_c_2,V_b_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 => ( 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)) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => 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))) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_pos__le__divide__eq,axiom, % 169.10/169.00 ! [V_b_2,V_a_2,V_c_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_b) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_times__divide__times__eq,axiom, % 169.10/169.00 ! [V_w,V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_minus__divide__right,axiom, % 169.10/169.00 ! [V_b,V_a,T_a] : % 169.10/169.00 ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_minus__divide__divide,axiom, % 169.10/169.00 ! [V_b,V_a,T_a] : % 169.10/169.00 ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__right__mono__neg,axiom, % 169.10/169.00 ! [V_c,V_b,V_a,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__right__mono,axiom, % 169.10/169.00 ! [V_c,V_b,V_a,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__le__0__iff,axiom, % 169.10/169.00 ! [V_b_2,V_a_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 169.10/169.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 169.10/169.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_zero__le__divide__iff,axiom, % 169.10/169.00 ! [V_b_2,V_a_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 169.10/169.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 169.10/169.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__strict__right__mono__neg,axiom, % 169.10/169.00 ! [V_c,V_a,V_b,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__strict__right__mono,axiom, % 169.10/169.00 ! [V_c,V_b,V_a,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__neg__neg,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__neg__pos,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__pos__neg,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__pos__pos,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__less__0__iff,axiom, % 169.10/169.00 ! [V_b_2,V_a_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 169.10/169.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) % 169.10/169.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_zero__less__divide__iff,axiom, % 169.10/169.00 ! [V_b_2,V_a_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) % 169.10/169.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) % 169.10/169.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_frac__eq__eq,axiom, % 169.10/169.00 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] : % 169.10/169.00 ( class_Fields_Ofield(T_b) % 169.10/169.00 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => ( 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) % 169.10/169.00 <=> 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) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mult__divide__mult__cancel__left,axiom, % 169.10/169.00 ! [V_b,V_a,V_c,T_a] : % 169.10/169.00 ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/169.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => 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) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mult__divide__mult__cancel__right,axiom, % 169.10/169.00 ! [V_b,V_a,V_c,T_a] : % 169.10/169.00 ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/169.00 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => 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) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__eq__eq,axiom, % 169.10/169.00 ! [V_a_2,V_c_2,V_b_2,T_b] : % 169.10/169.00 ( class_Fields_Ofield__inverse__zero(T_b) % 169.10/169.00 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2 % 169.10/169.00 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) % 169.10/169.00 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_eq__divide__eq,axiom, % 169.10/169.00 ! [V_c_2,V_b_2,V_a_2,T_b] : % 169.10/169.00 ( class_Fields_Ofield__inverse__zero(T_b) % 169.10/169.00 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) % 169.10/169.00 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) % 169.10/169.00 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 169.10/169.00 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__nonpos__neg,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__nonpos__pos,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_frac__le,axiom, % 169.10/169.00 ! [V_z,V_w,V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 169.10/169.00 => 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))) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_frac__less,axiom, % 169.10/169.00 ! [V_z,V_w,V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z)) % 169.10/169.00 => 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))) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_frac__less2,axiom, % 169.10/169.00 ! [V_z,V_w,V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z)) % 169.10/169.00 => 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))) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__nonneg__neg,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__nonneg__pos,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__strict__left__mono__neg,axiom, % 169.10/169.00 ! [V_c,V_b,V_a,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => ( 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))) % 169.10/169.00 => 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))) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__strict__left__mono,axiom, % 169.10/169.00 ! [V_c,V_a,V_b,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 169.10/169.00 => ( 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))) % 169.10/169.00 => 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))) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_neg__divide__less__eq,axiom, % 169.10/169.00 ! [V_a_2,V_b_2,V_c_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_b) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => ( 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)) % 169.10/169.00 <=> 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_neg__less__divide__eq,axiom, % 169.10/169.00 ! [V_b_2,V_a_2,V_c_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_b) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mult__imp__less__div__pos,axiom, % 169.10/169.00 ! [V_x,V_z,V_y,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.10/169.00 => ( 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)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mult__imp__div__pos__less,axiom, % 169.10/169.00 ! [V_z,V_x,V_y,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.10/169.00 => ( 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))) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_pos__divide__less__eq,axiom, % 169.10/169.00 ! [V_a_2,V_b_2,V_c_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_b) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( 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)) % 169.10/169.00 <=> 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_pos__less__divide__eq,axiom, % 169.10/169.00 ! [V_b_2,V_a_2,V_c_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_b) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__less__eq,axiom, % 169.10/169.00 ! [V_a_2,V_c_2,V_b_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 => ( 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)) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => 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))) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_less__divide__eq,axiom, % 169.10/169.00 ! [V_c_2,V_b_2,V_a_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field__inverse__zero(T_b) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => 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))) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_add__frac__eq,axiom, % 169.10/169.00 ! [V_w,V_x,V_z,V_y,T_a] : % 169.10/169.00 ( class_Fields_Ofield(T_a) % 169.10/169.00 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__add__eq__iff,axiom, % 169.10/169.00 ! [V_y,V_x,V_z,T_a] : % 169.10/169.00 ( class_Fields_Ofield(T_a) % 169.10/169.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => 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) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_add__frac__num,axiom, % 169.10/169.00 ! [V_z,V_x,V_y,T_a] : % 169.10/169.00 ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/169.00 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => 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) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_add__divide__eq__iff,axiom, % 169.10/169.00 ! [V_y,V_x,V_z,T_a] : % 169.10/169.00 ( class_Fields_Ofield(T_a) % 169.10/169.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => 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) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_add__num__frac,axiom, % 169.10/169.00 ! [V_x,V_z,V_y,T_a] : % 169.10/169.00 ( class_Fields_Ofield__inverse__zero(T_a) % 169.10/169.00 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => 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) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_diff__divide__eq__iff,axiom, % 169.10/169.00 ! [V_y,V_x,V_z,T_a] : % 169.10/169.00 ( class_Fields_Ofield(T_a) % 169.10/169.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => 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) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__diff__eq__iff,axiom, % 169.10/169.00 ! [V_y,V_x,V_z,T_a] : % 169.10/169.00 ( class_Fields_Ofield(T_a) % 169.10/169.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => 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) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_diff__frac__eq,axiom, % 169.10/169.00 ! [V_w,V_x,V_z,V_y,T_a] : % 169.10/169.00 ( class_Fields_Ofield(T_a) % 169.10/169.00 => ( V_y != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => ( V_z != c_Groups_Ozero__class_Ozero(T_a) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_gt__half__sum,axiom, % 169.10/169.00 ! [V_b,V_a,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_less__half__sum,axiom, % 169.10/169.00 ! [V_b,V_a,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) % 169.10/169.00 => 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))))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__left__mono__neg,axiom, % 169.10/169.00 ! [V_c,V_b,V_a,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a))) % 169.10/169.00 => ( 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))) % 169.10/169.00 => 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))) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divide__left__mono,axiom, % 169.10/169.00 ! [V_c,V_a,V_b,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c)) % 169.10/169.00 => ( 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))) % 169.10/169.00 => 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))) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_neg__divide__le__eq,axiom, % 169.10/169.00 ! [V_a_2,V_b_2,V_c_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_b) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => ( 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)) % 169.10/169.00 <=> 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_neg__le__divide__eq,axiom, % 169.10/169.00 ! [V_b_2,V_a_2,V_c_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_b) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b))) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mult__imp__le__div__pos,axiom, % 169.10/169.00 ! [V_x,V_z,V_y,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.10/169.00 => ( 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)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mult__imp__div__pos__le,axiom, % 169.10/169.00 ! [V_z,V_x,V_y,T_a] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.10/169.00 => ( 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))) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_pos__divide__le__eq,axiom, % 169.10/169.00 ! [V_a_2,V_b_2,V_c_2,T_b] : % 169.10/169.00 ( class_Fields_Olinordered__field(T_b) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2)) % 169.10/169.00 => ( 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)) % 169.10/169.00 <=> 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Nitpick_Orefl_H__def,axiom, % 169.10/169.00 ! [V_r_2,T_b] : % 169.10/169.00 ( c_Nitpick_Orefl_H(T_b,V_r_2) % 169.10/169.00 <=> ! [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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_posDivAlg__eqn__1__number__of,axiom, % 169.10/169.00 ! [V_w] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ( 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))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => 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)))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_posDivAlg_Osimps,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 169.10/169.00 => 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) ) % 169.10/169.00 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 169.10/169.00 => 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))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_posDivAlg__eqn,axiom, % 169.10/169.00 ! [V_a,V_b] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 169.10/169.00 => 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) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_posDivAlg__eqn__number__of,axiom, % 169.10/169.00 ! [V_w,V_v] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ( 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))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => 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)))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_posDivAlg__0,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_posDivAlg__correct,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_posDivAlg__div__mod,axiom, % 169.10/169.00 ! [V_l,V_k] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__int__def,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/169.00 => 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))) ) ) ) ) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => 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))) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__step,axiom, % 169.10/169.00 ! [V_m,V_n] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_code__numeral_Osize_I4_J,axiom, % 169.10/169.00 ! [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))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_negDivAlg_Opsimps,axiom, % 169.10/169.00 ! [V_b_2,V_a_2] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ( ( 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))) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ ( 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))) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom, % 169.10/169.00 ! [V_f_2,V_A_2,T_b] : % 169.10/169.00 ( ! [B_x] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.10/169.00 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__zero,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__base,axiom, % 169.10/169.00 ! [V_n,V_m] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_negateSnd__eq,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__div__mod,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__int__rel__neg,axiom, % 169.10/169.00 ! [V_qr,V_b,V_a] : % 169.10/169.00 ( 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)) % 169.10/169.00 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_code__numeral_Osize_I3_J,axiom, % 169.10/169.00 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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__if,axiom, % 169.10/169.00 ! [V_m_2,V_na_2] : % 169.10/169.00 ( ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) % 169.10/169.00 => 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) ) % 169.10/169.00 & ( ~ ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_posDivAlg_Opsimps,axiom, % 169.10/169.00 ! [V_b_2,V_a_2] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 169.10/169.00 => 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) ) % 169.10/169.00 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2)) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_norm__frac_Opsimps,axiom, % 169.10/169.00 ! [V_b_2,V_a_2] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/169.00 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 169.10/169.00 => 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)) ) % 169.10/169.00 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.10/169.00 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 169.10/169.00 => 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))) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_negDivAlg_Opinduct,axiom, % 169.10/169.00 ! [V_Pa_2,V_a1_2,V_a0_2] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ! [B_a,B_b] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ( ~ ( 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))) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 169.10/169.00 => 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))) ) % 169.10/169.00 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 169.10/169.00 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_accp__subset,axiom, % 169.10/169.00 ! [V_R2_2,V_R1_2,T_b] : % 169.10/169.00 ( 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)) % 169.10/169.00 => 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__rel__mult1__eq,axiom, % 169.10/169.00 ! [V_a,V_r,V_q,V_c,V_b] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 169.10/169.00 => 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)))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__rel__unique,axiom, % 169.10/169.00 ! [V_qr_H,V_qr,V_n,V_m] : % 169.10/169.00 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 169.10/169.00 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H)) % 169.10/169.00 => V_qr = V_qr_H ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__eq,axiom, % 169.10/169.00 ! [V_qr,V_n,V_m] : % 169.10/169.00 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr)) % 169.10/169.00 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__rel__divmod__nat,axiom, % 169.10/169.00 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__def,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mod__eq,axiom, % 169.10/169.00 ! [V_r,V_q,V_n,V_m] : % 169.10/169.00 ( 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))) % 169.10/169.00 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_div__eq,axiom, % 169.10/169.00 ! [V_r,V_q,V_n,V_m] : % 169.10/169.00 ( 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))) % 169.10/169.00 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_accp_Osimps,axiom, % 169.10/169.00 ! [V_a_2,V_r_2,T_b] : % 169.10/169.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 169.10/169.00 <=> ! [B_x] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 169.10/169.00 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_accp_Oequations,axiom, % 169.10/169.00 ! [V_a_2,V_r_2,T_b] : % 169.10/169.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) % 169.10/169.00 <=> ! [B_x] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2)) % 169.10/169.00 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_accp__downward,axiom, % 169.10/169.00 ! [V_a_2,V_b_2,V_r_2,T_b] : % 169.10/169.00 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 169.10/169.00 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__rel,axiom, % 169.10/169.00 ! [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)))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__rel__add1__eq,axiom, % 169.10/169.00 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( 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))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 169.10/169.00 => 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)))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__rel__mult2__eq,axiom, % 169.10/169.00 ! [V_c,V_r,V_q,V_b,V_a] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c)) % 169.10/169.00 => 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)))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_posDivAlg_Opinduct,axiom, % 169.10/169.00 ! [V_Pa_2,V_a1_2,V_a0_2] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ! [B_a,B_b] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b)) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 169.10/169.00 => 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))) ) % 169.10/169.00 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 169.10/169.00 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_nat_Osize_I2_J,axiom, % 169.10/169.00 ! [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))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mod__pos__neg__1__number__of,axiom, % 169.10/169.00 ! [V_w] : % 169.10/169.00 ( 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))) % 169.10/169.00 => 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))))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_in__measure,axiom, % 169.10/169.00 ! [V_f_2,V_y_2,V_x_2,T_b] : % 169.10/169.00 ( hBOOL(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))) % 169.10/169.00 <=> 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_norm__frac_Opinduct,axiom, % 169.10/169.00 ! [V_Pa_2,V_a1_2,V_a0_2] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ! [B_a,B_b] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => 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))) ) % 169.10/169.00 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) % 169.10/169.00 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_snd__conv,axiom, % 169.10/169.00 ! [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 ). % 169.10/169.00 % 169.10/169.00 fof(fact_snd__eqD,axiom, % 169.10/169.00 ! [V_a,V_y,V_x,T_a,T_b] : % 169.10/169.00 ( 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 % 169.10/169.00 => V_y = V_a ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_snd__def,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mod__int__def,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_nat_Osize_I1_J,axiom, % 169.10/169.00 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mod__neg__pos,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mod__pos__pos,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mod__pos__pos__1__number__of,axiom, % 169.10/169.00 ! [V_w] : % 169.10/169.00 ( 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))) % 169.10/169.00 => 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mod__pos__neg,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => 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)))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mod__neg__neg,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => 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)))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_div__pos__neg__1__number__of,axiom, % 169.10/169.00 ! [V_w] : % 169.10/169.00 ( 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))) % 169.10/169.00 => 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))))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mlex__leq,axiom, % 169.10/169.00 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( hBOOL(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)) % 169.10/169.00 => hBOOL(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))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mlex__less,axiom, % 169.10/169.00 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] : % 169.10/169.00 ( 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))) % 169.10/169.00 => hBOOL(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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_div__neg__neg,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => 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)))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_nat_Osize_I4_J,axiom, % 169.10/169.00 ! [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))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_nat__size,axiom, % 169.10/169.00 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ). % 169.10/169.00 % 169.10/169.00 fof(fact_fst__eqD,axiom, % 169.10/169.00 ! [V_a,V_y,V_x,T_b,T_a] : % 169.10/169.00 ( 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 % 169.10/169.00 => V_x = V_a ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_fst__conv,axiom, % 169.10/169.00 ! [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 ). % 169.10/169.00 % 169.10/169.00 fof(fact_prod__eqI,axiom, % 169.10/169.00 ! [V_q,V_p,T_b,T_a] : % 169.10/169.00 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q) % 169.10/169.00 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q) % 169.10/169.00 => V_p = V_q ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Pair__fst__snd__eq,axiom, % 169.10/169.00 ! [T_c,T_b,V_t_2,V_s_2] : % 169.10/169.00 ( V_s_2 = V_t_2 % 169.10/169.00 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2) % 169.10/169.00 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_fst__def,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_surjective__pairing,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_pair__collapse,axiom, % 169.10/169.00 ! [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 ). % 169.10/169.00 % 169.10/169.00 fof(fact_prod__case__beta,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_div__int__def,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mod__nat__def,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_split__beta,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_split__comp__eq,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_nat_Osize_I3_J,axiom, % 169.10/169.00 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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_split__def,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_The__split,axiom, % 169.10/169.00 ! [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))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_div__neg__pos,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_div__pos__pos,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_div__pos__pos__1__number__of,axiom, % 169.10/169.00 ! [V_w] : % 169.10/169.00 ( 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))) % 169.10/169.00 => 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_div__pos__neg,axiom, % 169.10/169.00 ! [V_b,V_a] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.10/169.00 => 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)))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_prod__size__simp,axiom, % 169.10/169.00 ! [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))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_conjI__realizer,axiom, % 169.10/169.00 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_Pa_2] : % 169.10/169.00 ( hBOOL(hAPP(V_Pa_2,V_p_2)) % 169.10/169.00 => ( hBOOL(hAPP(V_Q_2,V_q_2)) % 169.10/169.00 => ( 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)))) % 169.10/169.00 & 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)))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_exI__realizer,axiom, % 169.10/169.00 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2)) % 169.10/169.00 => 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)))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_prod_Orecs,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_in__lex__prod,axiom, % 169.10/169.00 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] : % 169.10/169.00 ( 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))) % 169.10/169.00 <=> ( hBOOL(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)) % 169.10/169.00 | ( V_a_2 = V_a_H_2 % 169.10/169.00 & 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_div__nat__def,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_divmod__nat__rel__def,axiom, % 169.10/169.00 ! [V_qr_2,V_na_2,V_m_2] : % 169.10/169.00 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_na_2),V_qr_2)) % 169.10/169.00 <=> ( 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)) % 169.10/169.00 & ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/169.00 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 169.10/169.00 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.10/169.00 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 169.10/169.00 => ( 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))) % 169.10/169.00 & 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)) ) ) % 169.10/169.00 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_na_2)) % 169.10/169.00 => ( 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))) % 169.10/169.00 & 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))) ) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_same__fstI,axiom, % 169.10/169.00 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] : % 169.10/169.00 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.10/169.00 => ( 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))) % 169.10/169.00 => 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))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_in__finite__psubset,axiom, % 169.10/169.00 ! [V_B_2,V_A_2,T_b] : % 169.10/169.00 ( 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))) % 169.10/169.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.10/169.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__Suc__number__of,axiom, % 169.10/169.00 ! [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)))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__number__of__Suc,axiom, % 169.10/169.00 ! [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)))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_pair__lessI2,axiom, % 169.10/169.00 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_less__max__iff__disj,axiom, % 169.10/169.00 ! [V_y_2,V_x_2,V_z_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2)) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__less__iff__conj,axiom, % 169.10/169.00 ! [V_z_2,V_y_2,V_x_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( 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)) % 169.10/169.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2)) % 169.10/169.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Oless__supI1,axiom, % 169.10/169.00 ! [V_b,V_a,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 169.10/169.00 => 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))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Oless__supI2,axiom, % 169.10/169.00 ! [V_a,V_b,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 169.10/169.00 => 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))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max_Oidem,axiom, % 169.10/169.00 ! [V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__assoc,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup_Oassoc,axiom, % 169.10/169.00 ! [V_c,V_b,V_a,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__left__commute,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup_Oleft__commute,axiom, % 169.10/169.00 ! [V_c,V_a,V_b,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__left__idem,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup_Oleft__idem,axiom, % 169.10/169.00 ! [V_b,V_a,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__commute,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup_Ocommute,axiom, % 169.10/169.00 ! [V_b,V_a,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup_Oidem,axiom, % 169.10/169.00 ! [V_a,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__Suc__Suc,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__0L,axiom, % 169.10/169.00 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__0R,axiom, % 169.10/169.00 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__diff__distrib__left,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Groups_Oordered__ab__group__add(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__add__distrib__left,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_le__max__iff__disj,axiom, % 169.10/169.00 ! [V_y_2,V_x_2,V_z_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( 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))) % 169.10/169.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2)) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Ole__supE,axiom, % 169.10/169.00 ! [V_x,V_b,V_a,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => ( 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)) % 169.10/169.00 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 169.10/169.00 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__mono,axiom, % 169.10/169.00 ! [V_d,V_b,V_c,V_a,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__least,axiom, % 169.10/169.00 ! [V_z,V_x,V_y,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Ole__supI,axiom, % 169.10/169.00 ! [V_b,V_x,V_a,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__absorb1,axiom, % 169.10/169.00 ! [V_x,V_y,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 169.10/169.00 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__absorb2,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 169.10/169.00 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Ole__supI2,axiom, % 169.10/169.00 ! [V_a,V_b,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 169.10/169.00 => 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))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Ole__supI1,axiom, % 169.10/169.00 ! [V_b,V_a,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 169.10/169.00 => 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))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Ole__sup__iff,axiom, % 169.10/169.00 ! [V_z_2,V_y_2,V_x_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( 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)) % 169.10/169.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 169.10/169.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Ole__iff__sup,axiom, % 169.10/169.00 ! [V_y_2,V_x_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 169.10/169.00 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_le__maxI2,axiom, % 169.10/169.00 ! [V_x,V_y,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_le__maxI1,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__inf__absorb,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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 ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Oinf__sup__absorb,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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 ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__inf__distrib1,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Oinf__sup__distrib1,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__inf__distrib2,axiom, % 169.10/169.00 ! [V_x,V_z,V_y,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Oinf__sup__distrib2,axiom, % 169.10/169.00 ! [V_x,V_z,V_y,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom, % 169.10/169.00 ! [T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__number__of,axiom, % 169.10/169.00 ! [V_v,V_u,T_b] : % 169.10/169.00 ( ( class_Int_Onumber(T_b) % 169.10/169.00 & class_Orderings_Oord(T_b) ) % 169.10/169.00 => ( ( 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))) % 169.10/169.00 => 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) ) % 169.10/169.00 & ( ~ 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))) % 169.10/169.00 => 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) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Odistrib__inf__le,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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)))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Odistrib__sup__le,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Orderings_Olinorder(T_a) % 169.10/169.00 => 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)))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_minus__min__eq__max,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Groups_Olinordered__ab__group__add(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_minus__max__eq__min,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Groups_Olinordered__ab__group__add(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_nat__minus__add__max,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__Suc2,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__Suc1,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__ord__max,axiom, % 169.10/169.00 ! [T_b] : % 169.10/169.00 ( class_Orderings_Oord(T_b) % 169.10/169.00 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_dual__min,axiom, % 169.10/169.00 ! [T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_Osup__Inf__absorb,axiom, % 169.10/169.00 ! [V_a_2,V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.10/169.00 => 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 ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_pair__lessI1,axiom, % 169.10/169.00 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_pair__leqI2,axiom, % 169.10/169.00 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_smax__insertI,axiom, % 169.10/169.00 ! [V_X_2,V_x_2,V_Y_2,V_y_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2)) % 169.10/169.00 => ( 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)) % 169.10/169.00 => ( 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)) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_smin__insertI,axiom, % 169.10/169.00 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 169.10/169.00 => ( 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)) % 169.10/169.00 => ( 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)) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_pair__leqI1,axiom, % 169.10/169.00 ! [V_t_2,V_s_2,V_b_2,V_a_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2)) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max_Oremove,axiom, % 169.10/169.00 ! [V_x_2,V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/169.00 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.00 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) % 169.10/169.00 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.00 => 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)))))) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_smax__emptyI,axiom, % 169.10/169.00 ! [V_Y_2] : % 169.10/169.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2)) % 169.10/169.00 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_smin__emptyI,axiom, % 169.10/169.00 ! [V_X_2] : % 169.10/169.00 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max_Osingleton,axiom, % 169.10/169.00 ! [V_x_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => 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 ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max__ge,axiom, % 169.10/169.00 ! [V_x_2,V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max__in,axiom, % 169.10/169.00 ! [V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max_Oin__idem,axiom, % 169.10/169.00 ! [V_x_2,V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/169.00 => 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) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max_OF__eq,axiom, % 169.10/169.00 ! [V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => 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) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max__mono,axiom, % 169.10/169.00 ! [V_N_2,V_M_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2)) % 169.10/169.00 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 169.10/169.00 => 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))) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max__insert,axiom, % 169.10/169.00 ! [V_x_2,V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max_Osubset__idem,axiom, % 169.10/169.00 ! [V_B_2,V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.10/169.00 => 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) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max_Oinsert,axiom, % 169.10/169.00 ! [V_x_2,V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/169.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.00 => 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)) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max_Oinsert__remove,axiom, % 169.10/169.00 ! [V_x_2,V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.00 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 ) % 169.10/169.00 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.00 => 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)))))) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_minus__Max__eq__Min,axiom, % 169.10/169.00 ! [V_S_2,T_b] : % 169.10/169.00 ( class_Groups_Olinordered__ab__group__add(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.10/169.00 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_minus__Min__eq__Max,axiom, % 169.10/169.00 ! [V_S_2,T_b] : % 169.10/169.00 ( class_Groups_Olinordered__ab__group__add(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.10/169.00 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_wmin__insertI,axiom, % 169.10/169.00 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)) % 169.10/169.00 => ( 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)) % 169.10/169.00 => ( 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)) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_wmax__insertI,axiom, % 169.10/169.00 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2)) % 169.10/169.00 => ( 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)) % 169.10/169.00 => ( 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)) % 169.10/169.00 => 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)) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Max_Oclosed,axiom, % 169.10/169.00 ! [V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.00 => ( ! [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)))))) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_wmax__emptyI,axiom, % 169.10/169.00 ! [V_X_2] : % 169.10/169.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2)) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_wmin__emptyI,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__rpair__set,axiom, % 169.10/169.00 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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_max__rpair__set,axiom, % 169.10/169.00 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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__strict__def,axiom, % 169.10/169.00 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 169.10/169.00 % 169.10/169.00 fof(fact_less__than__iff,axiom, % 169.10/169.00 ! [V_y_2,V_x_2] : % 169.10/169.00 ( 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)) % 169.10/169.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_intrel__iff,axiom, % 169.10/169.00 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 169.10/169.00 ( 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)) % 169.10/169.00 <=> 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_pair__less__def,axiom, % 169.10/169.00 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ). % 169.10/169.00 % 169.10/169.00 fof(fact_mlex__prod__def,axiom, % 169.10/169.00 ! [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))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__weak__def,axiom, % 169.10/169.00 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)))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_OInf__le__Sup,axiom, % 169.10/169.00 ! [V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.00 => 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))) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_min__max_OSup__fin_Oremove,axiom, % 169.10/169.00 ! [V_x_2,V_A_2,T_b] : % 169.10/169.00 ( class_Orderings_Olinorder(T_b) % 169.10/169.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/169.00 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.00 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 ) % 169.10/169.00 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.00 => 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)))))) ) ) ) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_rp__inv__image__rp,axiom, % 169.10/169.00 ! [V_f_2,T_c,V_Pa_2,T_b] : % 169.10/169.00 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 169.10/169.00 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup1CI,axiom, % 169.10/169.00 ! [T_b,V_A_2,V_x_2,V_B_2] : % 169.10/169.00 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2)) % 169.10/169.00 => hBOOL(hAPP(V_A_2,V_x_2)) ) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup1E,axiom, % 169.10/169.00 ! [V_x_2,V_B_2,V_A_2,T_b] : % 169.10/169.00 ( 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)) % 169.10/169.00 => ( ~ hBOOL(hAPP(V_A_2,V_x_2)) % 169.10/169.00 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_UnCI,axiom, % 169.10/169.00 ! [V_A_2,V_B_2,V_c_2,T_b] : % 169.10/169.00 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) % 169.10/169.00 => 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_UnE,axiom, % 169.10/169.00 ! [V_B_2,V_A_2,V_c_2,T_b] : % 169.10/169.00 ( 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))) % 169.10/169.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 169.10/169.00 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_UnI2,axiom, % 169.10/169.00 ! [V_A_2,V_B_2,V_c_2,T_b] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 169.10/169.00 => 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_UnI1,axiom, % 169.10/169.00 ! [V_B_2,V_A_2,V_c_2,T_b] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 169.10/169.00 => 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))) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__iff,axiom, % 169.10/169.00 ! [V_B_2,V_A_2,V_c_2,T_b] : % 169.10/169.00 ( 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))) % 169.10/169.00 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 169.10/169.00 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup__max,axiom, % 169.10/169.00 ! [T_b] : % 169.10/169.00 ( ( class_Lattices_Osemilattice__sup(T_b) % 169.10/169.00 & class_Orderings_Olinorder(T_b) ) % 169.10/169.00 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__insert__left,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__insert__right,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup__fun__def,axiom, % 169.10/169.00 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 169.10/169.00 ( class_Lattices_Olattice(T_b) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__Diff__cancel,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__Diff__cancel2,axiom, % 169.10/169.00 ! [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) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__Diff,axiom, % 169.10/169.00 ! [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)) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__upper1,axiom, % 169.10/169.00 ! [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))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__upper2,axiom, % 169.10/169.00 ! [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))) ). % 169.10/169.00 % 169.10/169.00 fof(fact_subset__Un__eq,axiom, % 169.10/169.00 ! [V_B_2,V_A_2,T_b] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.10/169.00 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__absorb1,axiom, % 169.10/169.00 ! [V_B_2,V_A_2,T_b] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.10/169.00 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__absorb2,axiom, % 169.10/169.00 ! [V_A_2,V_B_2,T_b] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.10/169.00 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__least,axiom, % 169.10/169.00 ! [V_B_2,V_C_2,V_A_2,T_b] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 169.10/169.00 => 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)) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Un__mono,axiom, % 169.10/169.00 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 169.10/169.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 169.10/169.00 => 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))) ) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_Sup__fin_Oidem,axiom, % 169.10/169.00 ! [V_x,T_a] : % 169.10/169.00 ( class_Lattices_Olattice(T_a) % 169.10/169.00 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup__apply,axiom, % 169.10/169.00 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 169.10/169.00 ( class_Lattices_Olattice(T_b) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup__assoc,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_inf__sup__aci_I6_J,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Lattices_Olattice(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup_Oassoc,axiom, % 169.10/169.00 ! [V_c,V_b,V_a,T_a] : % 169.10/169.00 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup__left__commute,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_inf__sup__aci_I7_J,axiom, % 169.10/169.00 ! [V_z,V_y,V_x,T_a] : % 169.10/169.00 ( class_Lattices_Olattice(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup_Oleft__commute,axiom, % 169.10/169.00 ! [V_c,V_a,V_b,T_a] : % 169.10/169.00 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup__left__idem,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_inf__sup__aci_I8_J,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Lattices_Olattice(T_a) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup_Oleft__idem,axiom, % 169.10/169.00 ! [V_b,V_a,T_a] : % 169.10/169.00 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup__commute,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_inf__sup__aci_I5_J,axiom, % 169.10/169.00 ! [V_y,V_x,T_a] : % 169.10/169.00 ( class_Lattices_Olattice(T_a) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup_Ocommute,axiom, % 169.10/169.00 ! [V_b,V_a,T_a] : % 169.10/169.00 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.00 => 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) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup__idem,axiom, % 169.10/169.00 ! [V_x,T_a] : % 169.10/169.00 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.00 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup_Oidem,axiom, % 169.10/169.00 ! [V_a,T_a] : % 169.10/169.00 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.00 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup1I2,axiom, % 169.10/169.00 ! [V_A_2,T_b,V_x_2,V_B_2] : % 169.10/169.00 ( hBOOL(hAPP(V_B_2,V_x_2)) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_sup1I1,axiom, % 169.10/169.00 ! [V_B_2,T_b,V_x_2,V_A_2] : % 169.10/169.00 ( hBOOL(hAPP(V_A_2,V_x_2)) % 169.10/169.00 => 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)) ) ). % 169.10/169.00 % 169.10/169.00 fof(fact_ball__Un,axiom, % 169.10/169.00 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 169.10/169.00 ( ! [B_x] : % 169.10/169.00 ( 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))) % 169.10/169.00 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.10/169.00 <=> ( ! [B_x] : % 169.10/169.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.10/169.00 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.10/169.00 & ! [B_x] : % 169.10/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 169.10/169.01 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_bex__Un,axiom, % 169.10/169.01 ! [V_Pa_2,V_B_2,V_A_2,T_b] : % 169.10/169.01 ( ? [B_x] : % 169.10/169.01 ( 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))) % 169.10/169.01 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.10/169.01 <=> ( ? [B_x] : % 169.10/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.10/169.01 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.10/169.01 | ? [B_x] : % 169.10/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 169.10/169.01 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Un__assoc,axiom, % 169.10/169.01 ! [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)) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Un__left__commute,axiom, % 169.10/169.01 ! [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)) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Un__left__absorb,axiom, % 169.10/169.01 ! [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) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Un__commute,axiom, % 169.10/169.01 ! [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) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Un__absorb,axiom, % 169.10/169.01 ! [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 ). % 169.10/169.01 % 169.10/169.01 fof(fact_less__supI1,axiom, % 169.10/169.01 ! [V_b,V_a,V_x,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a)) % 169.10/169.01 => 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))) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_less__supI2,axiom, % 169.10/169.01 ! [V_a,V_b,V_x,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b)) % 169.10/169.01 => 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))) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_le__supE,axiom, % 169.10/169.01 ! [V_x,V_b,V_a,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => ( 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)) % 169.10/169.01 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 169.10/169.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__mono,axiom, % 169.10/169.01 ! [V_d,V_b,V_c,V_a,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 169.10/169.01 => 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))) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__least,axiom, % 169.10/169.01 ! [V_z,V_x,V_y,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) % 169.10/169.01 => 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)) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_le__supI,axiom, % 169.10/169.01 ! [V_b,V_x,V_a,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 169.10/169.01 => 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)) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__absorb1,axiom, % 169.10/169.01 ! [V_x,V_y,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 169.10/169.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__absorb2,axiom, % 169.10/169.01 ! [V_y,V_x,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 169.10/169.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_le__supI2,axiom, % 169.10/169.01 ! [V_a,V_b,V_x,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 169.10/169.01 => 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))) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_le__supI1,axiom, % 169.10/169.01 ! [V_b,V_a,V_x,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 169.10/169.01 => 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))) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_le__sup__iff,axiom, % 169.10/169.01 ! [V_z_2,V_y_2,V_x_2,T_b] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_b) % 169.10/169.01 => ( 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)) % 169.10/169.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) % 169.10/169.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_le__iff__sup,axiom, % 169.10/169.01 ! [V_y_2,V_x_2,T_b] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_b) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 169.10/169.01 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__ge2,axiom, % 169.10/169.01 ! [V_x,V_y,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => 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))) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_inf__sup__ord_I4_J,axiom, % 169.10/169.01 ! [V_x,V_y,T_a] : % 169.10/169.01 ( class_Lattices_Olattice(T_a) % 169.10/169.01 => 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))) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__ge1,axiom, % 169.10/169.01 ! [V_y,V_x,T_a] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_a) % 169.10/169.01 => 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))) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_inf__sup__ord_I3_J,axiom, % 169.10/169.01 ! [V_y,V_x,T_a] : % 169.10/169.01 ( class_Lattices_Olattice(T_a) % 169.10/169.01 => 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))) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_image__Un,axiom, % 169.10/169.01 ! [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)) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Un__empty,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,T_b] : % 169.10/169.01 ( 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)) % 169.10/169.01 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Un__empty__right,axiom, % 169.10/169.01 ! [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 ). % 169.10/169.01 % 169.10/169.01 fof(fact_Un__empty__left,axiom, % 169.10/169.01 ! [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 ). % 169.10/169.01 % 169.10/169.01 fof(fact_finite__UnI,axiom, % 169.10/169.01 ! [V_G_2,V_F_2,T_b] : % 169.10/169.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) % 169.10/169.01 => 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))) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_finite__Un,axiom, % 169.10/169.01 ! [V_G_2,V_F_2,T_b] : % 169.10/169.01 ( 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))) % 169.10/169.01 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 169.10/169.01 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__eq__bot__iff,axiom, % 169.10/169.01 ! [V_y_2,V_x_2,T_b] : % 169.10/169.01 ( class_Lattices_Obounded__lattice__bot(T_b) % 169.10/169.01 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b) % 169.10/169.01 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b) % 169.10/169.01 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__bot__right,axiom, % 169.10/169.01 ! [V_x,T_a] : % 169.10/169.01 ( class_Lattices_Obounded__lattice__bot(T_a) % 169.10/169.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__bot__left,axiom, % 169.10/169.01 ! [V_x,T_a] : % 169.10/169.01 ( class_Lattices_Obounded__lattice__bot(T_a) % 169.10/169.01 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_fun__left__comm__idem__sup,axiom, % 169.10/169.01 ! [T_b] : % 169.10/169.01 ( class_Lattices_Osemilattice__sup(T_b) % 169.10/169.01 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__Un__eq,axiom, % 169.10/169.01 ! [V_x_2,V_S_2,V_R_2,T_b] : % 169.10/169.01 ( 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)) % 169.10/169.01 <=> 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))) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_OSup__fin_Ounion__idem,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.10/169.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_insert__is__Un,axiom, % 169.10/169.01 ! [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) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Diff__subset__conv,axiom, % 169.10/169.01 ! [V_C_2,V_B_2,V_A_2,T_b] : % 169.10/169.01 ( 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)) % 169.10/169.01 <=> 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))) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Diff__partition,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,T_b] : % 169.10/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.10/169.01 => 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 ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_inj__on__Un__image__eq__iff,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.10/169.01 ( 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)) % 169.10/169.01 => ( 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) % 169.10/169.01 <=> V_A_2 = V_B_2 ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Compl__Diff__eq,axiom, % 169.10/169.01 ! [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) ). % 169.10/169.01 % 169.10/169.01 fof(fact_rp__inv__image__def,axiom, % 169.10/169.01 ! [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))) ). % 169.10/169.01 % 169.10/169.01 fof(fact_folding__image__simple__idem_Ounion__idem,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 169.10/169.01 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 169.10/169.01 => 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)) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_OSup__fin_Oin__idem,axiom, % 169.10/169.01 ! [V_x_2,V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/169.01 => 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) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_OSup__fin_Osingleton,axiom, % 169.10/169.01 ! [V_x_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => 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 ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_folding__one__idem_Ounion__idem,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 169.10/169.01 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.10/169.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_OSup__fin_OF__eq,axiom, % 169.10/169.01 ! [V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => 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) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_fold1__Un2,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,T_b] : % 169.10/169.01 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.10/169.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Min__Un,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.10/169.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Max__Un,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.10/169.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_OInf__fin_Ounion__idem,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.10/169.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_image__eq__fold__image,axiom, % 169.10/169.01 ! [V_f_2,T_c,V_A_2,T_b] : % 169.10/169.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => 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) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom, % 169.10/169.01 ! [V_x_2,V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_OSup__fin_Osubset__idem,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.10/169.01 => 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) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_Oinf__Sup__absorb,axiom, % 169.10/169.01 ! [V_a_2,V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.10/169.01 => 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 ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_OSup__fin_Oinsert,axiom, % 169.10/169.01 ! [V_x_2,V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom, % 169.10/169.01 ! [V_x_2,V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.01 => 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 ) % 169.10/169.01 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.01 => 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)))))) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_max__weak__def,axiom, % 169.10/169.01 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)))) ). % 169.10/169.01 % 169.10/169.01 fof(fact_in__inv__image,axiom, % 169.10/169.01 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] : % 169.10/169.01 ( hBOOL(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))) % 169.10/169.01 <=> 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)) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_OSup__fin_Oclosed,axiom, % 169.10/169.01 ! [V_A_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => ( ! [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)))))) % 169.10/169.01 => 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)) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_ivl__disj__un_I4_J,axiom, % 169.10/169.01 ! [V_u_2,V_l_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 169.10/169.01 => 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) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Sup__fin_Oremove,axiom, % 169.10/169.01 ! [V_x_2,V_A_2,T_b] : % 169.10/169.01 ( class_Lattices_Olattice(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/169.01 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.01 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 ) % 169.10/169.01 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.01 => 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)))))) ) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_finite__greaterThanAtMost,axiom, % 169.10/169.01 ! [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))) ). % 169.10/169.01 % 169.10/169.01 fof(fact_finite__greaterThanAtMost__int,axiom, % 169.10/169.01 ! [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))) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__nat__def,axiom, % 169.10/169.01 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom, % 169.10/169.01 ! [V_B_2,V_A_2] : % 169.10/169.01 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/169.01 => ( c_Nat__Transfer_Onat__set(V_B_2) % 169.10/169.01 => 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)) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom, % 169.10/169.01 ! [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))) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Sup__fin_Osingleton,axiom, % 169.10/169.01 ! [V_x_2,T_b] : % 169.10/169.01 ( class_Lattices_Olattice(T_b) % 169.10/169.01 => 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 ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom, % 169.10/169.01 ! [V_B_2,V_A_2] : % 169.10/169.01 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.10/169.01 => ( c_Nat__Transfer_Onat__set(V_B_2) % 169.10/169.01 => 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))) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_greaterThanAtMost__empty,axiom, % 169.10/169.01 ! [V_k_2,V_l_2,T_b] : % 169.10/169.01 ( class_Orderings_Oorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2)) % 169.10/169.01 => 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)) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_greaterThanAtMost__empty__iff2,axiom, % 169.10/169.01 ! [V_l_2,V_k_2,T_b] : % 169.10/169.01 ( class_Orderings_Oorder(T_b) % 169.10/169.01 => ( 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) % 169.10/169.01 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_greaterThanAtMost__empty__iff,axiom, % 169.10/169.01 ! [V_l_2,V_k_2,T_b] : % 169.10/169.01 ( class_Orderings_Oorder(T_b) % 169.10/169.01 => ( 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)) % 169.10/169.01 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_ivl__disj__un_I20_J,axiom, % 169.10/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 169.10/169.01 => 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) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_card__greaterThanAtMost,axiom, % 169.10/169.01 ! [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) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup__Un__eq2,axiom, % 169.10/169.01 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 169.10/169.01 ( 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)) % 169.10/169.01 <=> 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))) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Sup__fin_Oin__idem,axiom, % 169.10/169.01 ! [V_x_2,V_A_2,T_b] : % 169.10/169.01 ( class_Lattices_Olattice(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/169.01 => 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) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Sup__fin_OF__eq,axiom, % 169.10/169.01 ! [V_A_2,T_b] : % 169.10/169.01 ( class_Lattices_Olattice(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => 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) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Sup__fin_Oinsert__idem,axiom, % 169.10/169.01 ! [V_x_2,V_A_2,T_b] : % 169.10/169.01 ( class_Lattices_Olattice(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Sup__fin_Osubset__idem,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,T_b] : % 169.10/169.01 ( class_Lattices_Olattice(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.10/169.01 => 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) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_card__greaterThanAtMost__int,axiom, % 169.10/169.01 ! [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)) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Sup__fin_Ounion__idem,axiom, % 169.10/169.01 ! [V_B_2,V_A_2,T_b] : % 169.10/169.01 ( class_Lattices_Olattice(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.10/169.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_max__strict__def,axiom, % 169.10/169.01 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 169.10/169.01 % 169.10/169.01 fof(fact_ivl__disj__un_I16_J,axiom, % 169.10/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 169.10/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 169.10/169.01 => 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) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_measure__def,axiom, % 169.10/169.01 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Sup__fin_Oinsert,axiom, % 169.10/169.01 ! [V_x_2,V_A_2,T_b] : % 169.10/169.01 ( class_Lattices_Olattice(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Sup__fin_Oinsert__remove,axiom, % 169.10/169.01 ! [V_x_2,V_A_2,T_b] : % 169.10/169.01 ( class_Lattices_Olattice(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.01 => 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 ) % 169.10/169.01 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.10/169.01 => 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)))))) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_max__ext__additive,axiom, % 169.10/169.01 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] : % 169.10/169.01 ( 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))) % 169.10/169.01 => ( 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))) % 169.10/169.01 => 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))) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_max__extp__max__ext__eq,axiom, % 169.10/169.01 ! [V_xa_2,V_x_2,V_R_2,T_b] : % 169.10/169.01 ( 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) % 169.10/169.01 <=> 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))) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_irrefl__def,axiom, % 169.10/169.01 ! [V_r_2,T_b] : % 169.10/169.01 ( c_Relation_Oirrefl(T_b,V_r_2) % 169.10/169.01 <=> ! [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)) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Field__insert,axiom, % 169.10/169.01 ! [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)) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Sup__fin_Oclosed,axiom, % 169.10/169.01 ! [V_A_2,T_b] : % 169.10/169.01 ( class_Lattices_Olattice(T_b) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.10/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => ( ! [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)))))) % 169.10/169.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_min__max_OSup__fin_Ohom__commute,axiom, % 169.10/169.01 ! [V_N_2,V_h_2,T_b] : % 169.10/169.01 ( class_Orderings_Olinorder(T_b) % 169.10/169.01 => ( ! [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)) % 169.10/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 169.10/169.01 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.10/169.01 => 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)) ) ) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup2CI,axiom, % 169.10/169.01 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] : % 169.10/169.01 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 169.10/169.01 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) % 169.10/169.01 => 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)) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup2E,axiom, % 169.10/169.01 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 169.10/169.01 ( 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)) % 169.10/169.01 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 169.10/169.01 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup2I2,axiom, % 169.10/169.01 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] : % 169.10/169.01 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 169.10/169.01 => 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)) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_sup2I1,axiom, % 169.10/169.01 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] : % 169.10/169.01 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 169.10/169.01 => 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)) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Field__empty,axiom, % 169.10/169.01 ! [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)) ). % 169.10/169.01 % 169.10/169.01 fof(fact_mono__Field,axiom, % 169.10/169.01 ! [V_s_2,V_r_2,T_b] : % 169.10/169.01 ( 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)) % 169.10/169.01 => 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))) ) ). % 169.10/169.01 % 169.10/169.01 fof(fact_Field__Un,axiom, % 169.10/169.01 ! [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)) ). % 169.10/169.01 % 169.10/169.01 fof(fact_finite__Field,axiom, % 169.10/169.01 ! [V_r_2,T_b] : % 169.10/169.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 169.10/169.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ). % 169.10/169.01 % 169.23/169.01 fof(fact_min__max_OInf__fin_Ohom__commute,axiom, % 169.23/169.01 ! [V_N_2,V_h_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( ! [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)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 169.23/169.01 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.01 => 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)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Max_Ohom__commute,axiom, % 169.23/169.01 ! [V_N_2,V_h_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( ! [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)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 169.23/169.01 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.01 => 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)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Min_Ohom__commute,axiom, % 169.23/169.01 ! [V_N_2,V_h_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( ! [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)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 169.23/169.01 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.01 => 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)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Sup__fin_Ohom__commute,axiom, % 169.23/169.01 ! [V_N_2,V_h_2,T_b] : % 169.23/169.01 ( class_Lattices_Olattice(T_b) % 169.23/169.01 => ( ! [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)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 169.23/169.01 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.01 => 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)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_negD,axiom, % 169.23/169.01 ! [V_x] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.23/169.01 => ? [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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_incr__mult__lemma,axiom, % 169.23/169.01 ! [V_k_2,V_Pa_2,V_d_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 169.23/169.01 => ( ! [B_x] : % 169.23/169.01 ( hBOOL(hAPP(V_Pa_2,B_x)) % 169.23/169.01 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) ) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2)) % 169.23/169.01 => ! [B_x] : % 169.23/169.01 ( hBOOL(hAPP(V_Pa_2,B_x)) % 169.23/169.01 => 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)))) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_setprod__mono__one__right,axiom, % 169.23/169.01 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 169.23/169.01 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 169.23/169.01 => ( ! [B_x] : % 169.23/169.01 ( 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))) % 169.23/169.01 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 169.23/169.01 => 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) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_setprod__mono__one__left,axiom, % 169.23/169.01 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 169.23/169.01 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 169.23/169.01 => ( ! [B_x] : % 169.23/169.01 ( 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))) % 169.23/169.01 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 169.23/169.01 => 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) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_zero__less__imp__eq__int,axiom, % 169.23/169.01 ! [V_k] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k)) % 169.23/169.01 => ? [B_n] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 169.23/169.01 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_card__Pow,axiom, % 169.23/169.01 ! [V_A_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I19_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 169.23/169.01 => 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) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_equiv__intrel__iff,axiom, % 169.23/169.01 ! [V_y_2,V_x_2] : % 169.23/169.01 ( 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)))) % 169.23/169.01 <=> 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_finite__atLeastAtMost,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_finite__atLeastAtMost__int,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_PowI,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.23/169.01 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Image__Un,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Pow__not__empty,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__Suc__atLeastAtMost,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Cantors__paradox,axiom, % 169.23/169.01 ! [V_A_2,T_b] : % 169.23/169.01 ~ ? [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Pow__top,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Image__empty,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Pow__bottom,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Pow__empty,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_finite__Pow__iff,axiom, % 169.23/169.01 ! [V_A_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2))) % 169.23/169.01 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Pow__insert,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Pow__mono,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.23/169.01 => 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_PowD,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 169.23/169.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Pow__iff,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) % 169.23/169.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__Pow__surj,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : % 169.23/169.01 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2 % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Un__Pow__subset,axiom, % 169.23/169.01 ! [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)))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__add__atLeastAtMost,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom, % 169.23/169.01 ! [V_na_2,V_m_2] : % 169.23/169.01 ( c_Nat__Transfer_Ois__nat(V_m_2) % 169.23/169.01 => ( c_Nat__Transfer_Ois__nat(V_na_2) % 169.23/169.01 => 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))) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastAtMostSuc__conv,axiom, % 169.23/169.01 ! [V_na_2,V_m_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_na_2))) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Image__mono,axiom, % 169.23/169.01 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] : % 169.23/169.01 ( 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)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2)) % 169.23/169.01 => 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))) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Un__Image,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom, % 169.23/169.01 ! [V_y_2,V_x_2] : % 169.23/169.01 ( c_Nat__Transfer_Ois__nat(V_x_2) % 169.23/169.01 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastatMost__empty__iff2,axiom, % 169.23/169.01 ! [V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => ( 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) % 169.23/169.01 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastatMost__empty__iff,axiom, % 169.23/169.01 ! [V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => ( 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)) % 169.23/169.01 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastatMost__empty,axiom, % 169.23/169.01 ! [V_a_2,V_b_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastatMost__subset__iff,axiom, % 169.23/169.01 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => ( 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))) % 169.23/169.01 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 169.23/169.01 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 169.23/169.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastAtMost__singleton_H,axiom, % 169.23/169.01 ! [V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => ( V_a_2 = V_b_2 % 169.23/169.01 => 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))) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastAtMost__singleton__iff,axiom, % 169.23/169.01 ! [V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => ( 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))) % 169.23/169.01 <=> ( V_a_2 = V_b_2 % 169.23/169.01 & V_b_2 = V_c_2 ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastAtMost__singleton,axiom, % 169.23/169.01 ! [V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__uminus__atLeastAtMost,axiom, % 169.23/169.01 ! [V_y_2,V_x_2,T_b] : % 169.23/169.01 ( class_Groups_Oordered__ab__group__add(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__Pow__mono,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.23/169.01 ( 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)) % 169.23/169.01 => 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom, % 169.23/169.01 ! [V_y_2,V_x_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) % 169.23/169.01 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Image__iff,axiom, % 169.23/169.01 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 169.23/169.01 <=> ? [B_x] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.23/169.01 & 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_rev__ImageI,axiom, % 169.23/169.01 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.01 => ( 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)) % 169.23/169.01 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_card__atLeastAtMost,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastatMost__psubset__iff,axiom, % 169.23/169.01 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => ( 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))) % 169.23/169.01 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 169.23/169.01 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 169.23/169.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) % 169.23/169.01 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2)) % 169.23/169.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) ) % 169.23/169.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I22_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 169.23/169.01 => 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) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_simp__from__to,axiom, % 169.23/169.01 ! [V_i_2,V_j_2] : % 169.23/169.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 169.23/169.01 => 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)) ) % 169.23/169.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2)) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Image__singleton__iff,axiom, % 169.23/169.01 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] : % 169.23/169.01 ( 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)))))) % 169.23/169.01 <=> 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_card__atLeastAtMost__int,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I5_J,axiom, % 169.23/169.01 ! [V_u_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 169.23/169.01 => 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) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_of__int,axiom, % 169.23/169.01 ! [V_j_2,V_i_2,T_b] : % 169.23/169.01 ( class_Rings_Oring__1(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_One__int__def,axiom, % 169.23/169.01 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))))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_mult,axiom, % 169.23/169.01 ! [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))))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_le,axiom, % 169.23/169.01 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 169.23/169.01 ( 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))))))) % 169.23/169.01 <=> 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_minus,axiom, % 169.23/169.01 ! [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))))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Zero__int__def,axiom, % 169.23/169.01 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))))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_int__def,axiom, % 169.23/169.01 ! [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))))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_add,axiom, % 169.23/169.01 ! [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))))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_nat,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_less,axiom, % 169.23/169.01 ! [V_v_2,V_u_2,V_y_2,V_x_2] : % 169.23/169.01 ( 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))))))) % 169.23/169.01 <=> 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ex__nat__less,axiom, % 169.23/169.01 ! [V_Pa_2,V_na_2] : % 169.23/169.01 ( ? [B_m] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2)) % 169.23/169.01 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 169.23/169.01 <=> ? [B_x] : % 169.23/169.01 ( 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))) % 169.23/169.01 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_all__nat__less,axiom, % 169.23/169.01 ! [V_Pa_2,V_na_2] : % 169.23/169.01 ( ! [B_m] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_na_2)) % 169.23/169.01 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 169.23/169.01 <=> ! [B_x] : % 169.23/169.01 ( 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))) % 169.23/169.01 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_bset_I8_J,axiom, % 169.23/169.01 ! [V_B_2,V_t_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ( 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)) % 169.23/169.01 => ! [B_x] : % 169.23/169.01 ( ! [B_xa] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xb] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 169.23/169.01 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 169.23/169.01 => 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))) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_aset_I6_J,axiom, % 169.23/169.01 ! [V_A_2,V_t_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ( 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)) % 169.23/169.01 => ! [B_x] : % 169.23/169.01 ( ! [B_xa] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xb] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 169.23/169.01 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 169.23/169.01 => 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)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Powp__Pow__eq,axiom, % 169.23/169.01 ! [V_x_2,V_A_2,T_b] : % 169.23/169.01 ( 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)) % 169.23/169.01 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_aset_I4_J,axiom, % 169.23/169.01 ! [V_A_2,V_t_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 169.23/169.01 => ! [B_x] : % 169.23/169.01 ( ! [B_xa] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xb] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 169.23/169.01 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 169.23/169.01 => ( B_x != V_t_2 % 169.23/169.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_bset_I4_J,axiom, % 169.23/169.01 ! [V_B_2,V_t_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 169.23/169.01 => ! [B_x] : % 169.23/169.01 ( ! [B_xa] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xb] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 169.23/169.01 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 169.23/169.01 => ( B_x != V_t_2 % 169.23/169.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_bset_I7_J,axiom, % 169.23/169.01 ! [V_B_2,V_t_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2)) % 169.23/169.01 => ! [B_x] : % 169.23/169.01 ( ! [B_xa] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xb] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 169.23/169.01 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 169.23/169.01 => 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))) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Powp__mono,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.23/169.01 => 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_bset_I3_J,axiom, % 169.23/169.01 ! [V_B_2,V_t_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ( 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)) % 169.23/169.01 => ( ! [B_x] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xa] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2)) % 169.23/169.01 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) ) % 169.23/169.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_aset_I3_J,axiom, % 169.23/169.01 ! [V_A_2,V_t_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ( 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)) % 169.23/169.01 => ( ! [B_x] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xa] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2)) % 169.23/169.01 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) ) % 169.23/169.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_aset_I5_J,axiom, % 169.23/169.01 ! [V_A_2,V_t_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2)) % 169.23/169.01 => ! [B_x] : % 169.23/169.01 ( ! [B_xa] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xb] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 169.23/169.01 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 169.23/169.01 => 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)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_aset_I8_J,axiom, % 169.23/169.01 ! [V_t_2,V_A_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ! [B_x] : % 169.23/169.01 ( ! [B_xa] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xb] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 169.23/169.01 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x)) % 169.23/169.01 => 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))) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_bset_I6_J,axiom, % 169.23/169.01 ! [V_t_2,V_B_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ! [B_x] : % 169.23/169.01 ( ! [B_xa] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xb] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 169.23/169.01 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2)) % 169.23/169.01 => 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)) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_eq__Abs__Integ,axiom, % 169.23/169.01 ! [V_z_2] : % 169.23/169.01 ~ ! [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))))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_periodic__finite__ex,axiom, % 169.23/169.01 ! [V_Pa_2,V_d_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)) % 169.23/169.01 => ( ! [B_x,B_k] : % 169.23/169.01 ( hBOOL(hAPP(V_Pa_2,B_x)) % 169.23/169.01 <=> 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)))) ) % 169.23/169.01 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 169.23/169.01 <=> ? [B_x] : % 169.23/169.01 ( 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))) % 169.23/169.01 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_bset_I5_J,axiom, % 169.23/169.01 ! [V_t_2,V_B_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ! [B_x] : % 169.23/169.01 ( ! [B_xa] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xb] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2)) % 169.23/169.01 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) ) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2)) % 169.23/169.01 => 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)) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_aset_I7_J,axiom, % 169.23/169.01 ! [V_t_2,V_A_2,V_D_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2)) % 169.23/169.01 => ! [B_x] : % 169.23/169.01 ( ! [B_xa] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ! [B_xb] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2)) % 169.23/169.01 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) ) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x)) % 169.23/169.01 => 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))) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__minus__const__atLeastLessThan__nat,axiom, % 169.23/169.01 ! [V_x_2,V_y_2,V_c_2] : % 169.23/169.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 169.23/169.01 => 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)) ) % 169.23/169.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2)) % 169.23/169.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 169.23/169.01 => 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))) ) % 169.23/169.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) % 169.23/169.01 => 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)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ImageE,axiom, % 169.23/169.01 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2))) % 169.23/169.01 => ~ ! [B_x] : % 169.23/169.01 ( 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)) % 169.23/169.01 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_finite__atLeastLessThan,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_finite__atMost,axiom, % 169.23/169.01 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThan__inj_I2_J,axiom, % 169.23/169.01 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( 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) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 169.23/169.01 => V_b_2 = V_d_2 ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThan__inj_I1_J,axiom, % 169.23/169.01 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( 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) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 169.23/169.01 => V_a_2 = V_c_2 ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThan__eq__iff,axiom, % 169.23/169.01 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) % 169.23/169.01 => ( 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) % 169.23/169.01 <=> ( V_a_2 = V_c_2 % 169.23/169.01 & V_b_2 = V_d_2 ) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atMost__eq__iff,axiom, % 169.23/169.01 ! [V_y_2,V_x_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2) % 169.23/169.01 <=> V_x_2 = V_y_2 ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ex__nat__less__eq,axiom, % 169.23/169.01 ! [V_Pa_2,V_na_2] : % 169.23/169.01 ( ? [B_m] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2)) % 169.23/169.01 & hBOOL(hAPP(V_Pa_2,B_m)) ) % 169.23/169.01 <=> ? [B_x] : % 169.23/169.01 ( 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))) % 169.23/169.01 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_all__nat__less__eq,axiom, % 169.23/169.01 ! [V_Pa_2,V_na_2] : % 169.23/169.01 ( ! [B_m] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_na_2)) % 169.23/169.01 => hBOOL(hAPP(V_Pa_2,B_m)) ) % 169.23/169.01 <=> ! [B_x] : % 169.23/169.01 ( 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))) % 169.23/169.01 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThan0,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_card__atLeastLessThan,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__Suc__atLeastLessThan,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThan__empty,axiom, % 169.23/169.01 ! [V_a_2,V_b_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThan__empty__iff2,axiom, % 169.23/169.01 ! [V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => ( 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) % 169.23/169.01 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThan__empty__iff,axiom, % 169.23/169.01 ! [V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => ( 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)) % 169.23/169.01 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThan__subset__iff,axiom, % 169.23/169.01 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( 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))) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) % 169.23/169.01 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2)) % 169.23/169.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I17_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 169.23/169.01 => 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) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__diff,axiom, % 169.23/169.01 ! [V_m_2,V_na_2,V_i_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_na_2)) % 169.23/169.01 => 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) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeast0AtMost,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__add__atLeastLessThan,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_card__atMost,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atMost__Suc,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atMost__iff,axiom, % 169.23/169.01 ! [V_k_2,V_i_2,T_b] : % 169.23/169.01 ( class_Orderings_Oord(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2))) % 169.23/169.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atMost__subset__iff,axiom, % 169.23/169.01 ! [V_y_2,V_x_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => ( 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))) % 169.23/169.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThan__singleton,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I21_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 169.23/169.01 => 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) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThan__add__Un,axiom, % 169.23/169.01 ! [V_k_2,V_j_2,V_i_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2)) % 169.23/169.01 => 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_subset__card__intvl__is__intvl,axiom, % 169.23/169.01 ! [V_k_2,V_A_2] : % 169.23/169.01 ( 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))))) % 169.23/169.01 => 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__uminus__atLeastLessThan,axiom, % 169.23/169.01 ! [V_y_2,V_x_2,T_b] : % 169.23/169.01 ( class_Groups_Oordered__ab__group__add(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__uminus__greaterThanAtMost,axiom, % 169.23/169.01 ! [V_y_2,V_x_2,T_b] : % 169.23/169.01 ( class_Groups_Oordered__ab__group__add(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThanSuc,axiom, % 169.23/169.01 ! [V_na_2,V_m_2] : % 169.23/169.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 169.23/169.01 => 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)) ) % 169.23/169.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atMost__0,axiom, % 169.23/169.01 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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I9_J,axiom, % 169.23/169.01 ! [V_u_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 169.23/169.01 => 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) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I15_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2)) % 169.23/169.01 => 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) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I6_J,axiom, % 169.23/169.01 ! [V_u_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 169.23/169.01 => 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) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I3_J,axiom, % 169.23/169.01 ! [V_u_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 169.23/169.01 => 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) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I18_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2)) % 169.23/169.01 => 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) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I7_J,axiom, % 169.23/169.01 ! [V_u_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 169.23/169.01 => 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) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I10_J,axiom, % 169.23/169.01 ! [V_u_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 169.23/169.01 => 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) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I2_J,axiom, % 169.23/169.01 ! [V_u_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_fold__Un__disjoint,axiom, % 169.23/169.01 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.01 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.01 => ( 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)) % 169.23/169.01 => 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)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf1E,axiom, % 169.23/169.01 ! [V_x_2,V_B_2,V_A_2,T_b] : % 169.23/169.01 ( 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)) % 169.23/169.01 => ~ ( hBOOL(hAPP(V_A_2,V_x_2)) % 169.23/169.01 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf1I,axiom, % 169.23/169.01 ! [T_b,V_B_2,V_x_2,V_A_2] : % 169.23/169.01 ( hBOOL(hAPP(V_A_2,V_x_2)) % 169.23/169.01 => ( hBOOL(hAPP(V_B_2,V_x_2)) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_finite__lessThan,axiom, % 169.23/169.01 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_finite__atLeastLessThan__int,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_IntI,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_c_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) % 169.23/169.01 => 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))) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_IntE,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_c_2,T_b] : % 169.23/169.01 ( 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))) % 169.23/169.01 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 169.23/169.01 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_finite__Int,axiom, % 169.23/169.01 ! [V_G_2,V_F_2,T_b] : % 169.23/169.01 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 169.23/169.01 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_G_2)) ) % 169.23/169.01 => 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I2_J,axiom, % 169.23/169.01 ! [V_u_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Pow__Int__eq,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__fun__def,axiom, % 169.23/169.01 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 169.23/169.01 ( class_Lattices_Olattice(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Diff__Int__distrib,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__Diff,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Diff__Int__distrib2,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Diff__Int2,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__min,axiom, % 169.23/169.01 ! [T_b] : % 169.23/169.01 ( ( class_Lattices_Osemilattice__inf(T_b) % 169.23/169.01 & class_Orderings_Olinorder(T_b) ) % 169.23/169.01 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Inf__fin_Oidem,axiom, % 169.23/169.01 ! [V_x,T_a] : % 169.23/169.01 ( class_Lattices_Olattice(T_a) % 169.23/169.01 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__apply,axiom, % 169.23/169.01 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] : % 169.23/169.01 ( class_Lattices_Olattice(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__assoc,axiom, % 169.23/169.01 ! [V_z,V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__sup__aci_I2_J,axiom, % 169.23/169.01 ! [V_z,V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Olattice(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf_Oassoc,axiom, % 169.23/169.01 ! [V_c,V_b,V_a,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__left__commute,axiom, % 169.23/169.01 ! [V_z,V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__sup__aci_I3_J,axiom, % 169.23/169.01 ! [V_z,V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Olattice(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf_Oleft__commute,axiom, % 169.23/169.01 ! [V_c,V_a,V_b,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__left__idem,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__sup__aci_I4_J,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Olattice(T_a) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf_Oleft__idem,axiom, % 169.23/169.01 ! [V_b,V_a,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__commute,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__sup__aci_I1_J,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Olattice(T_a) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf_Ocommute,axiom, % 169.23/169.01 ! [V_b,V_a,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__idem,axiom, % 169.23/169.01 ! [V_x,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf_Oidem,axiom, % 169.23/169.01 ! [V_a,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf1D2,axiom, % 169.23/169.01 ! [V_x_2,V_B_2,V_A_2,T_b] : % 169.23/169.01 ( 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)) % 169.23/169.01 => hBOOL(hAPP(V_B_2,V_x_2)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf1D1,axiom, % 169.23/169.01 ! [V_x_2,V_B_2,V_A_2,T_b] : % 169.23/169.01 ( 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)) % 169.23/169.01 => hBOOL(hAPP(V_A_2,V_x_2)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__assoc,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__left__commute,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__left__absorb,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__commute,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__absorb,axiom, % 169.23/169.01 ! [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 ). % 169.23/169.01 % 169.23/169.01 fof(fact_lessThan__eq__iff,axiom, % 169.23/169.01 ! [V_y_2,V_x_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2) % 169.23/169.01 <=> V_x_2 = V_y_2 ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_less__infI1,axiom, % 169.23/169.01 ! [V_b,V_x,V_a,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x)) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_less__infI2,axiom, % 169.23/169.01 ! [V_a,V_x,V_b,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x)) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inj__on__Int,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.23/169.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.23/169.01 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom, % 169.23/169.01 ! [V_B_2,V_A_2] : % 169.23/169.01 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.23/169.01 => ( c_Nat__Transfer_Onat__set(V_B_2) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_sup__inf__distrib2,axiom, % 169.23/169.01 ! [V_x,V_z,V_y,T_a] : % 169.23/169.01 ( class_Lattices_Odistrib__lattice(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__sup__distrib2,axiom, % 169.23/169.01 ! [V_x,V_z,V_y,T_a] : % 169.23/169.01 ( class_Lattices_Odistrib__lattice(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_sup__inf__distrib1,axiom, % 169.23/169.01 ! [V_z,V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Odistrib__lattice(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__sup__distrib1,axiom, % 169.23/169.01 ! [V_z,V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Odistrib__lattice(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_sup__inf__absorb,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Olattice(T_a) % 169.23/169.01 => 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 ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__sup__absorb,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Olattice(T_a) % 169.23/169.01 => 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 ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Un__Int__crazy,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Un__Int__distrib2,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__Un__distrib2,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Un__Int__distrib,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__Un__distrib,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_insert__inter__insert,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_disjoint__iff__not__equal,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( 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)) % 169.23/169.01 <=> ! [B_x] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.01 => ! [B_xa] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2)) % 169.23/169.01 => B_x != B_xa ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__empty__right,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__empty__left,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__bot__right,axiom, % 169.23/169.01 ! [V_x,T_a] : % 169.23/169.01 ( class_Lattices_Obounded__lattice__bot(T_a) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__bot__left,axiom, % 169.23/169.01 ! [V_x,T_a] : % 169.23/169.01 ( class_Lattices_Obounded__lattice__bot(T_a) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__mono,axiom, % 169.23/169.01 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2)) % 169.23/169.01 => 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))) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__greatest,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_C_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) % 169.23/169.01 => 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))) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__absorb1,axiom, % 169.23/169.01 ! [V_A_2,V_B_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.23/169.01 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__absorb2,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.23/169.01 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__lower2,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__lower1,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__sup__ord_I1_J,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Olattice(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__le1,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__sup__ord_I2_J,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Olattice(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__le2,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_le__iff__inf,axiom, % 169.23/169.01 ! [V_y_2,V_x_2,T_b] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 169.23/169.01 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_le__inf__iff,axiom, % 169.23/169.01 ! [V_z_2,V_y_2,V_x_2,T_b] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_b) % 169.23/169.01 => ( 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))) % 169.23/169.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 169.23/169.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_le__infI1,axiom, % 169.23/169.01 ! [V_b,V_x,V_a,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x)) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_le__infI2,axiom, % 169.23/169.01 ! [V_a,V_x,V_b,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__absorb1,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 169.23/169.01 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__absorb2,axiom, % 169.23/169.01 ! [V_x,V_y,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) % 169.23/169.01 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_le__infI,axiom, % 169.23/169.01 ! [V_b,V_a,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) % 169.23/169.01 => 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))) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__greatest,axiom, % 169.23/169.01 ! [V_z,V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) % 169.23/169.01 => 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))) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__mono,axiom, % 169.23/169.01 ! [V_d,V_b,V_c,V_a,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d)) % 169.23/169.01 => 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))) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_le__infE,axiom, % 169.23/169.01 ! [V_b,V_a,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_a) % 169.23/169.01 => ( 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))) % 169.23/169.01 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a)) % 169.23/169.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__iff,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_c_2,T_b] : % 169.23/169.01 ( 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))) % 169.23/169.01 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 169.23/169.01 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_IntD1,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_c_2,T_b] : % 169.23/169.01 ( 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))) % 169.23/169.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_IntD2,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_c_2,T_b] : % 169.23/169.01 ( 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))) % 169.23/169.01 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I4_J,axiom, % 169.23/169.01 ! [V_u_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_fun__left__comm__idem__inf,axiom, % 169.23/169.01 ! [T_b] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_b) % 169.23/169.01 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__Int__eq,axiom, % 169.23/169.01 ! [V_x_2,V_S_2,V_R_2,T_b] : % 169.23/169.01 ( 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)) % 169.23/169.01 <=> 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_card__lessThan,axiom, % 169.23/169.01 ! [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 ). % 169.23/169.01 % 169.23/169.01 fof(fact_distrib__sup__le,axiom, % 169.23/169.01 ! [V_z,V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Olattice(T_a) % 169.23/169.01 => 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)))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_distrib__inf__le,axiom, % 169.23/169.01 ! [V_z,V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Olattice(T_a) % 169.23/169.01 => 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)))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__compl__bot,axiom, % 169.23/169.01 ! [V_x,T_a] : % 169.23/169.01 ( class_Lattices_Oboolean__algebra(T_a) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_compl__inf__bot,axiom, % 169.23/169.01 ! [V_x,T_a] : % 169.23/169.01 ( class_Lattices_Oboolean__algebra(T_a) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_diff__eq,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Oboolean__algebra(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_compl__inf,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Oboolean__algebra(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_compl__sup,axiom, % 169.23/169.01 ! [V_y,V_x,T_a] : % 169.23/169.01 ( class_Lattices_Oboolean__algebra(T_a) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__insert__left__if1,axiom, % 169.23/169.01 ! [V_B_2,V_C_2,V_a_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__insert__right__if1,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_a_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__insert__left__if0,axiom, % 169.23/169.01 ! [V_B_2,V_C_2,V_a_2,T_b] : % 169.23/169.01 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__insert__right__if0,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_a_2,T_b] : % 169.23/169.01 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.01 => 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) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__insert__left,axiom, % 169.23/169.01 ! [V_B_2,V_C_2,V_a_2,T_b] : % 169.23/169.01 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 169.23/169.01 => 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)) ) % 169.23/169.01 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2)) % 169.23/169.01 => 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) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__insert__right,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_a_2,T_b] : % 169.23/169.01 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.01 => 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)) ) % 169.23/169.01 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.01 => 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) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__Int__subset,axiom, % 169.23/169.01 ! [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)))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Diff__triv,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( 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)) % 169.23/169.01 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Diff__disjoint,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Un__Int__assoc__eq,axiom, % 169.23/169.01 ! [V_C_2,V_B_2,V_A_2,T_b] : % 169.23/169.01 ( 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)) % 169.23/169.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Diff__Int,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Diff__Un,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Un__Diff__Int,axiom, % 169.23/169.01 ! [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 ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I11_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Compl__disjoint,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Compl__disjoint2,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Image__Int__subset,axiom, % 169.23/169.01 ! [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)))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Compl__Int,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Compl__Un,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Diff__eq,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Diff__Compl,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I14_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeast0LessThan,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_lessThan__0,axiom, % 169.23/169.01 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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom, % 169.23/169.01 ! [V_B_2,V_A_2] : % 169.23/169.01 ( c_Nat__Transfer_Onat__set(V_A_2) % 169.23/169.01 => ( c_Nat__Transfer_Onat__set(V_B_2) % 169.23/169.01 => 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))) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_lessThan__Suc,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_lessThan__Suc__atMost,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_finite__atLeastZeroLessThan__int,axiom, % 169.23/169.01 ! [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))) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__atLeastZeroLessThan__int,axiom, % 169.23/169.01 ! [V_u_2] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) % 169.23/169.01 => 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_lessThan__iff,axiom, % 169.23/169.01 ! [V_k_2,V_i_2,T_b] : % 169.23/169.01 ( class_Orderings_Oord(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2))) % 169.23/169.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inf__Sup__absorb,axiom, % 169.23/169.01 ! [V_a_2,V_A_2,T_b] : % 169.23/169.01 ( class_Lattices_Olattice(T_b) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.01 => 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 ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_lessThan__subset__iff,axiom, % 169.23/169.01 ! [V_y_2,V_x_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( 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))) % 169.23/169.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_inj__on__image__Int,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] : % 169.23/169.01 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) % 169.23/169.01 => 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)) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_disjoint__eq__subset__Compl,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( 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)) % 169.23/169.01 <=> 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I15_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__atLeastAtMost,axiom, % 169.23/169.01 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__atLeastLessThan,axiom, % 169.23/169.01 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_lessThan__strict__subset__iff,axiom, % 169.23/169.01 ! [V_na_2,V_m_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( 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))) % 169.23/169.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_na_2)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I16_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I12_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I13_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__greaterThanAtMost,axiom, % 169.23/169.01 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I9_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__greaterThanLessThan,axiom, % 169.23/169.01 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__atLeastAtMostL1,axiom, % 169.23/169.01 ! [V_d_2,V_b_2,V_a_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_Int__atLeastAtMostR1,axiom, % 169.23/169.01 ! [V_d_2,V_c_2,V_b_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I3_J,axiom, % 169.23/169.01 ! [V_u_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I10_J,axiom, % 169.23/169.01 ! [V_u_2,V_m_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__int_I1_J,axiom, % 169.23/169.01 ! [V_u_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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)) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_folding__image__simple_Ounion__inter,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 169.23/169.01 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 169.23/169.01 => 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)) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_fold1__belowI,axiom, % 169.23/169.01 ! [V_a_2,V_A_2,T_b] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_b) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.01 => 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)) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_image__add__int__atLeastLessThan,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_below__fold1__iff,axiom, % 169.23/169.01 ! [V_x_2,V_A_2,T_b] : % 169.23/169.01 ( class_Lattices_Osemilattice__inf(T_b) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.01 => ( 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))) % 169.23/169.01 <=> ! [B_x] : % 169.23/169.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_card__atLeastZeroLessThan__int,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_card__atLeastLessThan__int,axiom, % 169.23/169.01 ! [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)) ). % 169.23/169.01 % 169.23/169.01 fof(fact_setprod__Un__Int,axiom, % 169.23/169.01 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.01 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.01 => 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)) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_setprod_Ounion__inter,axiom, % 169.23/169.01 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.01 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.01 => 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)) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_card_Ounion__inter,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.01 => 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)) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_card__Un__Int,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.01 => 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))) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_card__Diff__subset__Int,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,T_b] : % 169.23/169.01 ( 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))) % 169.23/169.01 => 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom, % 169.23/169.01 ! [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) ). % 169.23/169.01 % 169.23/169.01 fof(fact_folding__image__simple_Ounion__disjoint,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 169.23/169.01 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 169.23/169.01 => ( 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)) % 169.23/169.01 => 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)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_folding__one_Ounion__disjoint,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 169.23/169.01 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.01 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.01 => ( 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)) % 169.23/169.01 => 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)) ) ) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_folding__one_Ounion__inter,axiom, % 169.23/169.01 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] : % 169.23/169.01 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.01 => ( 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)) % 169.23/169.01 => 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)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_single__Diff__lessThan,axiom, % 169.23/169.01 ! [V_k_2,T_b] : % 169.23/169.01 ( class_Orderings_Oorder(T_b) % 169.23/169.01 => 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))) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_ivl__disj__un_I8_J,axiom, % 169.23/169.01 ! [V_u_2,V_l_2,T_b] : % 169.23/169.01 ( class_Orderings_Olinorder(T_b) % 169.23/169.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 169.23/169.01 => 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) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_setprod_Ounion__disjoint,axiom, % 169.23/169.01 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.01 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.01 => ( 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)) % 169.23/169.01 => 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)) ) ) ) ) ). % 169.23/169.01 % 169.23/169.01 fof(fact_setprod__Un__disjoint,axiom, % 169.23/169.01 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.01 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_card__Un__disjoint,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_inj__on__Un,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( 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)) % 169.23/169.02 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.23/169.02 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 169.23/169.02 & 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_fold__image__Un__Int,axiom, % 169.23/169.02 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => 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))) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_fold1__Un,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Groups_Oab__semigroup__mult(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Sup__fin_Ounion__disjoint,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Sup__fin_Ounion__inter,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Min_Ounion__inter,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Min_Ounion__disjoint,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Max_Ounion__disjoint,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Max_Ounion__inter,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_min__max_OInf__fin_Ounion__inter,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_min__max_OSup__fin_Ounion__inter,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_lessThan__Suc__eq__insert__0,axiom, % 169.23/169.02 ! [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))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_arith__series__int,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_card_Ounion__inter__neutral,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( ( ? [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))) % 169.23/169.02 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setprod__Un,axiom, % 169.23/169.02 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Fields_Ofield(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( 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))) % 169.23/169.02 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) ) % 169.23/169.02 => 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))) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_fold__image__Un__one,axiom, % 169.23/169.02 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( 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))) % 169.23/169.02 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_inf__nat__def,axiom, % 169.23/169.02 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__negf,axiom, % 169.23/169.02 ! [V_A_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Groups_Oab__group__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__0,axiom, % 169.23/169.02 ! [V_A_2,T_c,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__addf,axiom, % 169.23/169.02 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__right__distrib,axiom, % 169.23/169.02 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] : % 169.23/169.02 ( class_Rings_Osemiring__0(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__left__distrib,axiom, % 169.23/169.02 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Rings_Osemiring__0(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__product,axiom, % 169.23/169.02 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Rings_Osemiring__0(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__subtractf,axiom, % 169.23/169.02 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Groups_Oab__group__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__commute,axiom, % 169.23/169.02 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_of__nat__setsum,axiom, % 169.23/169.02 ! [V_A_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Rings_Osemiring__1(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_of__int__setsum,axiom, % 169.23/169.02 ! [V_A_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Rings_Oring__1(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__divide__distrib,axiom, % 169.23/169.02 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Fields_Ofield(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum_Oempty,axiom, % 169.23/169.02 ! [V_g_2,T_c,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__empty,axiom, % 169.23/169.02 ! [V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum_Oinfinite,axiom, % 169.23/169.02 ! [V_g_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__infinite,axiom, % 169.23/169.02 ! [V_f_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_inf__Int__eq2,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] : % 169.23/169.02 ( 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)) % 169.23/169.02 <=> 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum_Odistrib,axiom, % 169.23/169.02 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__lessThan__Suc,axiom, % 169.23/169.02 ! [V_na_2,V_f_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__shift__bounds__Suc__ivl,axiom, % 169.23/169.02 ! [V_na_2,V_m_2,V_f_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__shift__bounds__nat__ivl,axiom, % 169.23/169.02 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom, % 169.23/169.02 ! [V_na_2,V_m_2,V_f_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom, % 169.23/169.02 ! [V_na_2,V_k_2,V_m_2,V_f_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__add__nat__ivl,axiom, % 169.23/169.02 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2)) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__diff__nat__ivl,axiom, % 169.23/169.02 ! [V_f_2,V_p_2,V_na_2,V_m_2,T_b] : % 169.23/169.02 ( class_Groups_Oab__group__add(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_p_2)) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__delta_H,axiom, % 169.23/169.02 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.23/169.02 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 169.23/169.02 => 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) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 169.23/169.02 => 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) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__delta,axiom, % 169.23/169.02 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.23/169.02 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 169.23/169.02 => 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) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2)) % 169.23/169.02 => 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) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__constant,axiom, % 169.23/169.02 ! [V_A_2,V_y_2,T_c,T_b] : % 169.23/169.02 ( class_Rings_Osemiring__1(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__atMost__Suc,axiom, % 169.23/169.02 ! [V_na_2,V_f_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum_Oinsert,axiom, % 169.23/169.02 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__insert,axiom, % 169.23/169.02 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 169.23/169.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2)) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__Un__Int,axiom, % 169.23/169.02 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__diff,axiom, % 169.23/169.02 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Oab__group__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum_Oeq__fold,axiom, % 169.23/169.02 ! [V_g_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum_OF__eq,axiom, % 169.23/169.02 ! [V_g_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => 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) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => 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) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom, % 169.23/169.02 ! [V_k_2,V_f_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__head__upt__Suc,axiom, % 169.23/169.02 ! [V_f_2,V_na_2,V_m_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 169.23/169.02 => 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))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__head__Suc,axiom, % 169.23/169.02 ! [V_f_2,V_na_2,V_m_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 169.23/169.02 => 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))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__restrict__set,axiom, % 169.23/169.02 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum_Oinsert__remove,axiom, % 169.23/169.02 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => 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)))))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__Un__disjoint,axiom, % 169.23/169.02 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__Un,axiom, % 169.23/169.02 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Oab__group__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => 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))) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__op__ivl__Suc,axiom, % 169.23/169.02 ! [V_f_2,V_m_2,V_na_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 169.23/169.02 => 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) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__cl__ivl__Suc,axiom, % 169.23/169.02 ! [V_f_2,V_m_2,V_na_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) % 169.23/169.02 => 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) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_na_2)),V_m_2)) % 169.23/169.02 => 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))) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__head,axiom, % 169.23/169.02 ! [V_Pa_2,V_na_2,V_m_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 169.23/169.02 => 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))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__ub__add__nat,axiom, % 169.23/169.02 ! [V_p_2,V_f_2,V_na_2,V_m_2,T_b] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 => ( 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)))) % 169.23/169.02 => 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)))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__diff1_H,axiom, % 169.23/169.02 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => 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)))))) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum_Oremove,axiom, % 169.23/169.02 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.23/169.02 => 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)))))) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__diff1,axiom, % 169.23/169.02 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Oab__group__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => 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)) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => 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) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__diff1__ring,axiom, % 169.23/169.02 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Rings_Oring(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_arith__series__general,axiom, % 169.23/169.02 ! [V_na_2,V_d_2,V_a_2,T_b] : % 169.23/169.02 ( class_Rings_Ocomm__semiring__1(T_b) % 169.23/169.02 => 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)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_geometric__sum,axiom, % 169.23/169.02 ! [V_na_2,V_x_2,T_b] : % 169.23/169.02 ( class_Fields_Ofield(T_b) % 169.23/169.02 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b) % 169.23/169.02 => 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))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_gauss__sum,axiom, % 169.23/169.02 ! [V_na_2,T_b] : % 169.23/169.02 ( class_Rings_Ocomm__semiring__1(T_b) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__natinterval__difff,axiom, % 169.23/169.02 ! [V_f_2,V_na_2,V_m_2,T_b] : % 169.23/169.02 ( class_Groups_Oab__group__add(T_b) % 169.23/169.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 169.23/169.02 => 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)))) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 169.23/169.02 => 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) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__mono2,axiom, % 169.23/169.02 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Oordered__comm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.23/169.02 => ( ! [B_b] : % 169.23/169.02 ( 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))) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) ) % 169.23/169.02 => 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))) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setprod__Un__one,axiom, % 169.23/169.02 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( 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))) % 169.23/169.02 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setprod_Ounion__inter__neutral,axiom, % 169.23/169.02 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( 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))) % 169.23/169.02 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) ) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__bounded,axiom, % 169.23/169.02 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( ( class_Groups_Oordered__ab__semigroup__add(T_c) % 169.23/169.02 & class_Rings_Osemiring__1(T_c) ) % 169.23/169.02 => ( ! [B_i] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2)) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) ) % 169.23/169.02 => 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))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_inf2E,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 169.23/169.02 ( 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)) % 169.23/169.02 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 169.23/169.02 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_inf2I,axiom, % 169.23/169.02 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_inf2D2,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 169.23/169.02 ( 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)) % 169.23/169.02 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_inf2D1,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] : % 169.23/169.02 ( 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)) % 169.23/169.02 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__eq__0__iff,axiom, % 169.23/169.02 ! [V_f_2,V_F_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 169.23/169.02 => ( 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) % 169.23/169.02 <=> ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2)) % 169.23/169.02 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_card__eq__setsum,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_int__setsum,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__eq__Suc0__iff,axiom, % 169.23/169.02 ! [V_f_2,V_A_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( 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)) % 169.23/169.02 <=> ? [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.02 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 169.23/169.02 & ! [B_xa] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 169.23/169.02 => ( B_x != B_xa % 169.23/169.02 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__eq__1__iff,axiom, % 169.23/169.02 ! [V_f_2,V_A_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( 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) % 169.23/169.02 <=> ? [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.02 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 169.23/169.02 & ! [B_xa] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 169.23/169.02 => ( B_x != B_xa % 169.23/169.02 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__shift__lb__Suc0__0,axiom, % 169.23/169.02 ! [V_k_2,V_f_2] : % 169.23/169.02 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__diff__nat,axiom, % 169.23/169.02 ! [V_f_2,V_A_2,V_B_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom, % 169.23/169.02 ! [V_A_2,V_f_2,T_b] : % 169.23/169.02 ( ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 & class_Groups_Ocomm__monoid__mult(T_b) ) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__diff1__nat,axiom, % 169.23/169.02 ! [V_f_2,V_A_2,V_a_2,T_b] : % 169.23/169.02 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => 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)) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__Un__nat,axiom, % 169.23/169.02 ! [V_f_2,V_B_2,V_A_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => 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))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom, % 169.23/169.02 ! [V_f_2,V_A_2,T_b] : % 169.23/169.02 ( ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 & class_Groups_Ocomm__monoid__mult(T_b) ) % 169.23/169.02 => ( c_Nat__Transfer_Onat__set(V_A_2) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_arith__series__nat,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom, % 169.23/169.02 ! [V_f_2,V_A_2,T_b] : % 169.23/169.02 ( ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.02 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) ) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__Un__zero,axiom, % 169.23/169.02 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( 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))) % 169.23/169.02 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum_Ounion__inter__neutral,axiom, % 169.23/169.02 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( 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))) % 169.23/169.02 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__mono3,axiom, % 169.23/169.02 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 169.23/169.02 ( ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( 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))) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 169.23/169.02 => 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))) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Oremove,axiom, % 169.23/169.02 ! [V_x_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.23/169.02 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.23/169.02 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 ) % 169.23/169.02 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.23/169.02 => 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)))))) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__nonneg__0,axiom, % 169.23/169.02 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 169.23/169.02 => ( ! [B_i] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 169.23/169.02 => ( 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) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 169.23/169.02 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__nonneg__leq__bound,axiom, % 169.23/169.02 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 169.23/169.02 => ( ! [B_i] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2)) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) ) % 169.23/169.02 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2 % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2)) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sum__diff__distrib,axiom, % 169.23/169.02 ! [V_na_2,V_Pa_2,V_Q_2] : % 169.23/169.02 ( ! [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))) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Osingleton,axiom, % 169.23/169.02 ! [V_x_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => 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 ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sup__Inf__absorb,axiom, % 169.23/169.02 ! [V_a_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => 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 ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Oin__idem,axiom, % 169.23/169.02 ! [V_x_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.23/169.02 => 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) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_OF__eq,axiom, % 169.23/169.02 ! [V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Oinsert__idem,axiom, % 169.23/169.02 ! [V_x_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Osubset__idem,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.23/169.02 => 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) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Ounion__idem,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__le__Sup,axiom, % 169.23/169.02 ! [V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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))) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Oinsert,axiom, % 169.23/169.02 ! [V_x_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Oinsert__remove,axiom, % 169.23/169.02 ! [V_x_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.23/169.02 => 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 ) % 169.23/169.02 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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)) % 169.23/169.02 => 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)))))) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Ounion__inter,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Ounion__disjoint,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.23/169.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => 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)) ) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Oclosed,axiom, % 169.23/169.02 ! [V_A_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( ! [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)))))) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Inf__fin_Ohom__commute,axiom, % 169.23/169.02 ! [V_N_2,V_h_2,T_b] : % 169.23/169.02 ( class_Lattices_Olattice(T_b) % 169.23/169.02 => ( ! [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)) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 169.23/169.02 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__mono__zero__left,axiom, % 169.23/169.02 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( 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))) % 169.23/169.02 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 169.23/169.02 => 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) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__mono__zero__right,axiom, % 169.23/169.02 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] : % 169.23/169.02 ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( 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))) % 169.23/169.02 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) % 169.23/169.02 => 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) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__strict__mono,axiom, % 169.23/169.02 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( ( class_Groups_Ocomm__monoid__add(T_c) % 169.23/169.02 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) ) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 169.23/169.02 => 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))) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_atMost__Int__atLeast,axiom, % 169.23/169.02 ! [V_na_2,T_b] : % 169.23/169.02 ( class_Orderings_Oorder(T_b) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_field__le__mult__one__interval,axiom, % 169.23/169.02 ! [V_y,V_x,T_a] : % 169.23/169.02 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 169.23/169.02 => ( ! [B_z] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a))) % 169.23/169.02 => 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)) ) ) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom, % 169.23/169.02 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 169.23/169.02 ( ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 & class_Groups_Ocomm__monoid__mult(T_b) ) % 169.23/169.02 => ( V_A_2 = V_B_2 % 169.23/169.02 => ( c_Nat__Transfer_Onat__set(V_B_2) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 169.23/169.02 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 169.23/169.02 => 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) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_atLeast__eq__iff,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2) % 169.23/169.02 <=> V_x_2 = V_y_2 ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_atLeast__iff,axiom, % 169.23/169.02 ! [V_k_2,V_i_2,T_b] : % 169.23/169.02 ( class_Orderings_Oord(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2))) % 169.23/169.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_atLeast__subset__iff,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,T_b] : % 169.23/169.02 ( class_Orderings_Oorder(T_b) % 169.23/169.02 => ( 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))) % 169.23/169.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Compl__atLeast,axiom, % 169.23/169.02 ! [V_k_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Compl__lessThan,axiom, % 169.23/169.02 ! [V_k_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_ivl__disj__un_I14_J,axiom, % 169.23/169.02 ! [V_u_2,V_l_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_ivl__disj__int_I8_J,axiom, % 169.23/169.02 ! [V_u_2,V_l_2,T_b] : % 169.23/169.02 ( class_Orderings_Oorder(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Int__atLeastAtMostL2,axiom, % 169.23/169.02 ! [V_c_2,V_b_2,V_a_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Int__atLeastAtMostR2,axiom, % 169.23/169.02 ! [V_d_2,V_c_2,V_a_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_ivl__disj__int_I6_J,axiom, % 169.23/169.02 ! [V_u_2,V_l_2,T_b] : % 169.23/169.02 ( class_Orderings_Oorder(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_image__uminus__atLeast,axiom, % 169.23/169.02 ! [V_x_2,T_b] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_image__uminus__atMost,axiom, % 169.23/169.02 ! [V_x_2,T_b] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_atLeast__Suc,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_ivl__disj__un_I12_J,axiom, % 169.23/169.02 ! [V_u_2,V_l_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2)) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_ivl__disj__un_I13_J,axiom, % 169.23/169.02 ! [V_u_2,V_l_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_ivl__disj__un_I1_J,axiom, % 169.23/169.02 ! [V_l_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sgn__if,axiom, % 169.23/169.02 ! [V_x,T_a] : % 169.23/169.02 ( class_Groups_Osgn__if(T_a) % 169.23/169.02 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 169.23/169.02 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 169.23/169.02 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 169.23/169.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 169.23/169.02 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 169.23/169.02 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_greaterThan__eq__iff,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2) % 169.23/169.02 <=> V_x_2 = V_y_2 ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sgn__sgn,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_atLeast__Suc__greaterThan,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sgn__0__0,axiom, % 169.23/169.02 ! [V_a_2,T_b] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_b) % 169.23/169.02 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 169.23/169.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sgn0,axiom, % 169.23/169.02 ! [T_a] : % 169.23/169.02 ( class_Groups_Osgn__if(T_a) % 169.23/169.02 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sgn__times,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sgn__less,axiom, % 169.23/169.02 ! [V_a_2,T_b] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_b) % 169.23/169.02 => ( 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))) % 169.23/169.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sgn__greater,axiom, % 169.23/169.02 ! [V_a_2,T_b] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_b) % 169.23/169.02 => ( 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))) % 169.23/169.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_greaterThan__iff,axiom, % 169.23/169.02 ! [V_k_2,V_i_2,T_b] : % 169.23/169.02 ( class_Orderings_Oord(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2))) % 169.23/169.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_greaterThan__subset__iff,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( 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))) % 169.23/169.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Compl__greaterThan,axiom, % 169.23/169.02 ! [V_k_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Compl__atMost,axiom, % 169.23/169.02 ! [V_k_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sgn__pos,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.23/169.02 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sgn__1__pos,axiom, % 169.23/169.02 ! [V_a_2,T_b] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_b) % 169.23/169.02 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b) % 169.23/169.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_ivl__disj__int_I7_J,axiom, % 169.23/169.02 ! [V_u_2,V_l_2,T_b] : % 169.23/169.02 ( class_Orderings_Oorder(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_ivl__disj__un_I11_J,axiom, % 169.23/169.02 ! [V_u_2,V_l_2,T_b] : % 169.23/169.02 ( class_Orderings_Olinorder(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2)) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_image__uminus__lessThan,axiom, % 169.23/169.02 ! [V_x_2,T_b] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_image__uminus__greaterThan,axiom, % 169.23/169.02 ! [V_x_2,T_b] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_ivl__disj__int_I5_J,axiom, % 169.23/169.02 ! [V_u_2,V_l_2,T_b] : % 169.23/169.02 ( class_Orderings_Oorder(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_greaterThan__Suc,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_zsgn__def,axiom, % 169.23/169.02 ! [V_i] : % 169.23/169.02 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 169.23/169.02 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 169.23/169.02 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sgn__1__neg,axiom, % 169.23/169.02 ! [V_a_2,T_b] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_b) % 169.23/169.02 => ( 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)) % 169.23/169.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_sgn__neg,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 169.23/169.02 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_equiv__class__nondisjoint,axiom, % 169.23/169.02 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( 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))))))) % 169.23/169.02 => hBOOL(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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_subset__equiv__class,axiom, % 169.23/169.02 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( 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)))))) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 169.23/169.02 => hBOOL(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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_code__numeral_Osimps_I5_J,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_incr__lemma,axiom, % 169.23/169.02 ! [V_x,V_z,V_d] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 169.23/169.02 => 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)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__abs,axiom, % 169.23/169.02 ! [V_A_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_setsum__abs__ge__zero,axiom, % 169.23/169.02 ! [V_A_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__minus__commute,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__setsum__abs,axiom, % 169.23/169.02 ! [V_A_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__setprod,axiom, % 169.23/169.02 ! [V_A_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( class_Fields_Olinordered__field(T_b) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__divide,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__one,axiom, % 169.23/169.02 ! [T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__minus__cancel,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__zero,axiom, % 169.23/169.02 ! [T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__eq__0,axiom, % 169.23/169.02 ! [V_a_2,T_b] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 169.23/169.02 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b) % 169.23/169.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__idempotent,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__mult,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__mult__self,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__add__abs,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_power__abs,axiom, % 169.23/169.02 ! [V_n,V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__of__nat,axiom, % 169.23/169.02 ! [V_n,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__int__eq,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__ge__self,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__le__D1,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__of__nonneg,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.23/169.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__le__zero__iff,axiom, % 169.23/169.02 ! [V_a_2,T_b] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 169.23/169.02 => ( 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))) % 169.23/169.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__ge__zero,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__not__less__zero,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => ~ 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_zero__less__abs__iff,axiom, % 169.23/169.02 ! [V_a_2,T_b] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 169.23/169.02 => ( 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))) % 169.23/169.02 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__of__pos,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.23/169.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__triangle__ineq,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__mult__less,axiom, % 169.23/169.02 ! [V_d,V_b,V_c,V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d)) % 169.23/169.02 => 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))) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__triangle__ineq3,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__triangle__ineq2,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__triangle__ineq2__sym,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__le__D2,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__leI,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__le__iff,axiom, % 169.23/169.02 ! [V_b_2,V_a_2,T_b] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 169.23/169.02 => ( 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)) % 169.23/169.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) % 169.23/169.02 & 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__ge__minus__self,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__less__iff,axiom, % 169.23/169.02 ! [V_b_2,V_a_2,T_b] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_b) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2)) % 169.23/169.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) % 169.23/169.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_nonzero__abs__divide,axiom, % 169.23/169.02 ! [V_a,V_b,T_a] : % 169.23/169.02 ( class_Fields_Olinordered__field(T_a) % 169.23/169.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__power__minus,axiom, % 169.23/169.02 ! [V_n,V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__zmult__eq__1,axiom, % 169.23/169.02 ! [V_n,V_m] : % 169.23/169.02 ( 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) % 169.23/169.02 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_mult__sgn__abs,axiom, % 169.23/169.02 ! [V_x,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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 ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__sgn,axiom, % 169.23/169.02 ! [V_k,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__mult__pos,axiom, % 169.23/169.02 ! [V_y,V_x,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__eq__mult,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Rings_Oordered__ring__abs(T_a) % 169.23/169.02 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.23/169.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) % 169.23/169.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) % 169.23/169.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) ) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__triangle__ineq4,axiom, % 169.23/169.02 ! [V_b,V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__diff__triangle__ineq,axiom, % 169.23/169.02 ! [V_d,V_c,V_b,V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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))))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__of__nonpos,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 169.23/169.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__minus__le__zero,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__of__neg,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 169.23/169.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__if,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Groups_Oabs__if(T_a) % 169.23/169.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 169.23/169.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) % 169.23/169.02 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_zero__le__power__abs,axiom, % 169.23/169.02 ! [V_n,V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__div__pos,axiom, % 169.23/169.02 ! [V_x,V_y,T_a] : % 169.23/169.02 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__minus__one,axiom, % 169.23/169.02 ! [T_a] : % 169.23/169.02 ( ( class_Int_Onumber__ring(T_a) % 169.23/169.02 & class_Rings_Olinordered__idom(T_a) ) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_zabs__less__one__iff,axiom, % 169.23/169.02 ! [V_z_2] : % 169.23/169.02 ( 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))) % 169.23/169.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_zabs__def,axiom, % 169.23/169.02 ! [V_i] : % 169.23/169.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.23/169.02 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) ) % 169.23/169.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) % 169.23/169.02 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_nat__abs__mult__distrib,axiom, % 169.23/169.02 ! [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))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_zero__le__zpower__abs,axiom, % 169.23/169.02 ! [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))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_equiv__class__self,axiom, % 169.23/169.02 ! [V_a_2,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => 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)))))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__number__of,axiom, % 169.23/169.02 ! [V_x,T_a] : % 169.23/169.02 ( ( class_Int_Onumber__ring(T_a) % 169.23/169.02 & class_Rings_Olinordered__idom(T_a) ) % 169.23/169.02 => ( ( 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))) % 169.23/169.02 => 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)) ) % 169.23/169.02 & ( ~ 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))) % 169.23/169.02 => 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) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__power__minus__one,axiom, % 169.23/169.02 ! [V_n,T_a] : % 169.23/169.02 ( ( class_Int_Onumber__ring(T_a) % 169.23/169.02 & class_Rings_Olinordered__idom(T_a) ) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_zero__less__zpower__abs__iff,axiom, % 169.23/169.02 ! [V_na_2,V_x_2] : % 169.23/169.02 ( 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))) % 169.23/169.02 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_equiv__class__eq,axiom, % 169.23/169.02 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( hBOOL(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)) % 169.23/169.02 => 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)))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_power2__abs,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_abs__power2,axiom, % 169.23/169.02 ! [V_a,T_a] : % 169.23/169.02 ( class_Rings_Olinordered__idom(T_a) % 169.23/169.02 => 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)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_equiv__class__eq__iff,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( hBOOL(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)) % 169.23/169.02 <=> ( 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)))) % 169.23/169.02 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.23/169.02 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_eq__equiv__class,axiom, % 169.23/169.02 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] : % 169.23/169.02 ( 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)))) % 169.23/169.02 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2)) % 169.23/169.02 => hBOOL(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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_eq__equiv__class__iff,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 169.23/169.02 => ( 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)))) % 169.23/169.02 <=> hBOOL(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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_equiv__class__subset,axiom, % 169.23/169.02 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( hBOOL(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)) % 169.23/169.02 => 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)))))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_code__numeral_Osimps_I4_J,axiom, % 169.23/169.02 ! [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 ). % 169.23/169.02 % 169.23/169.02 fof(fact_decr__lemma,axiom, % 169.23/169.02 ! [V_z,V_x,V_d] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d)) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_divmod__int__pdivmod,axiom, % 169.23/169.02 ! [V_l_2,V_k_2] : % 169.23/169.02 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => 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)) ) % 169.23/169.02 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => 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) ) % 169.23/169.02 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => 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)))) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Nitpick_Oint__gcd__def,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_divmod__int__code,axiom, % 169.23/169.02 ! [V_l_2,V_k_2] : % 169.23/169.02 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => 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)) ) % 169.23/169.02 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => 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) ) % 169.23/169.02 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => 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)))) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_pdivmod__posDivAlg,axiom, % 169.23/169.02 ! [V_k,V_l] : % 169.23/169.02 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => 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)) ) % 169.23/169.02 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_apsnd__conv,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_fst__apsnd,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_snd__apsnd,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_apsnd__eq__conv,axiom, % 169.23/169.02 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] : % 169.23/169.02 ( 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) % 169.23/169.02 <=> 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_negateSnd__def,axiom, % 169.23/169.02 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_nat__gcd_Osimps,axiom, % 169.23/169.02 ! [V_x,V_y] : % 169.23/169.02 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.23/169.02 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x ) % 169.23/169.02 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_pdivmod__def,axiom, % 169.23/169.02 ! [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))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_nat__gcd_Opsimps,axiom, % 169.23/169.02 ! [V_y_2,V_x_2] : % 169.23/169.02 ( 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))) % 169.23/169.02 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.23/169.02 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 ) % 169.23/169.02 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.23/169.02 => 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)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Nitpick_Onat__lcm__def,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_card__quotient__disjoint,axiom, % 169.23/169.02 ! [V_r_2,V_A_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( 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) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_eq__equiv__class__iff2,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) % 169.23/169.02 => ( 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) % 169.23/169.02 <=> hBOOL(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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_quotient__empty,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_quotient__is__empty2,axiom, % 169.23/169.02 ! [V_r_2,V_A_2,T_b] : % 169.23/169.02 ( 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) % 169.23/169.02 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_quotient__is__empty,axiom, % 169.23/169.02 ! [V_r_2,V_A_2,T_b] : % 169.23/169.02 ( 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)) % 169.23/169.02 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_quotient__disj,axiom, % 169.23/169.02 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( 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))) % 169.23/169.02 => ( 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))) % 169.23/169.02 => ( V_X_2 = V_Y_2 % 169.23/169.02 | 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_quotient__diff1,axiom, % 169.23/169.02 ! [V_a_2,V_A_2,V_r_2,T_b] : % 169.23/169.02 ( 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) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_quotientI,axiom, % 169.23/169.02 ! [V_r_2,V_A_2,V_x_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_quotient__eqI,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( 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))) % 169.23/169.02 => ( 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))) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 169.23/169.02 => ( hBOOL(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)) % 169.23/169.02 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_quotient__eq__iff,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( 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))) % 169.23/169.02 => ( 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))) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2)) % 169.23/169.02 => ( V_X_2 = V_Y_2 % 169.23/169.02 <=> hBOOL(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)) ) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_singleton__quotient,axiom, % 169.23/169.02 ! [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))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Nitpick_Oint__lcm__def,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_nat__gcd_Opinduct,axiom, % 169.23/169.02 ! [V_Pa_2,V_a1_2,V_a0_2] : % 169.23/169.02 ( 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))) % 169.23/169.02 => ( ! [B_x,B_y] : % 169.23/169.02 ( 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))) % 169.23/169.02 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.23/169.02 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) ) % 169.23/169.02 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) ) % 169.23/169.02 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_quotientE,axiom, % 169.23/169.02 ! [V_r_2,V_A_2,V_X_2,T_b] : % 169.23/169.02 ( 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))) % 169.23/169.02 => ~ ! [B_x] : % 169.23/169.02 ( 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)))) % 169.23/169.02 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_quotient__def,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_SUP1__I,axiom, % 169.23/169.02 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_finite__UN,axiom, % 169.23/169.02 ! [V_B_2,T_c,V_A_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.02 => ( 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))) % 169.23/169.02 <=> ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_SUP1__iff,axiom, % 169.23/169.02 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 169.23/169.02 ( 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)) % 169.23/169.02 <=> ? [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.02 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Image__UN,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Image__eq__UN,axiom, % 169.23/169.02 ! [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))))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__I,axiom, % 169.23/169.02 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 169.23/169.02 => 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))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__Pow__subset,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_image__eq__UN,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__equiv__class2,axiom, % 169.23/169.02 ! [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] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 169.23/169.02 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 169.23/169.02 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2)) % 169.23/169.02 => 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) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_ball__UN,axiom, % 169.23/169.02 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] : % 169.23/169.02 ( ! [B_x] : % 169.23/169.02 ( 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))) % 169.23/169.02 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.23/169.02 <=> ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.23/169.02 => ! [B_xa] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x))) % 169.23/169.02 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__le__add__shift,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_SUP__commute,axiom, % 169.23/169.02 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 169.23/169.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__UN__flatten,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__simps_I9_J,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__extend__simps_I9_J,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_congruent2D,axiom, % 169.23/169.02 ! [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] : % 169.23/169.02 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 169.23/169.02 => ( 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)) % 169.23/169.02 => ( 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)) % 169.23/169.02 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__le__eq__Un0,axiom, % 169.23/169.02 ! [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))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_SUP__le__iff,axiom, % 169.23/169.02 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] : % 169.23/169.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.23/169.02 => ( 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)) % 169.23/169.02 <=> ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_less__SUP__iff,axiom, % 169.23/169.02 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] : % 169.23/169.02 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.23/169.02 & class_Orderings_Olinorder(T_b) ) % 169.23/169.02 => ( 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))) % 169.23/169.02 <=> ? [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.23/169.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__iff,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 169.23/169.02 ( 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))) % 169.23/169.02 <=> ? [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.23/169.02 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_SUP__const,axiom, % 169.23/169.02 ! [V_M_2,T_b,V_A_2,T_c] : % 169.23/169.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 169.23/169.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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 ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UNION__empty__conv_I1_J,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_c,T_b] : % 169.23/169.02 ( 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) % 169.23/169.02 <=> ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.23/169.02 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__empty2,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__constant,axiom, % 169.23/169.02 ! [V_c_2,T_c,T_b,V_A_2] : % 169.23/169.02 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) % 169.23/169.02 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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 ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UNION__empty__conv_I2_J,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( 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)) % 169.23/169.02 <=> ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.23/169.02 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__subset__iff,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : % 169.23/169.02 ( 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)) % 169.23/169.02 <=> ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__extend__simps_I10_J,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_image__UN,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__simps_I10_J,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__Un,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__Un__distrib,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__simps_I5_J,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__simps_I4_J,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__extend__simps_I5_J,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Int__UN__distrib,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__extend__simps_I4_J,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Int__UN__distrib2,axiom, % 169.23/169.02 ! [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))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_SUPR__apply,axiom, % 169.23/169.02 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 169.23/169.02 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__simps_I6_J,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__extend__simps_I6_J,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_SUP__subset,axiom, % 169.23/169.02 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 169.23/169.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.23/169.02 => 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))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_le__SUPI,axiom, % 169.23/169.02 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 169.23/169.02 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 169.23/169.02 => 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))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__insert__distrib,axiom, % 169.23/169.02 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 169.23/169.02 => 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__upper,axiom, % 169.23/169.02 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => 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))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__absorb,axiom, % 169.23/169.02 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 169.23/169.02 => 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) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__extend__simps_I1_J,axiom, % 169.23/169.02 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 169.23/169.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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))) ) % 169.23/169.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__singleton,axiom, % 169.23/169.02 ! [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 ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__simps_I1_J,axiom, % 169.23/169.02 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] : % 169.23/169.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) % 169.23/169.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__extend__simps_I2_J,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.23/169.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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 ) % 169.23/169.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__extend__simps_I3_J,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.23/169.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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 ) % 169.23/169.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__simps_I2_J,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.23/169.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) % 169.23/169.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__simps_I3_J,axiom, % 169.23/169.02 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.23/169.02 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) % 169.23/169.02 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__insert,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_congruent2__implies__congruent__UN,axiom, % 169.23/169.02 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 169.23/169.02 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 169.23/169.02 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2)) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_minus__int__def,axiom, % 169.23/169.02 ! [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))))))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__equiv__class,axiom, % 169.23/169.02 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => 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) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_SUP2__I,axiom, % 169.23/169.02 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 169.23/169.02 => 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)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Rep__Integ__inject,axiom, % 169.23/169.02 ! [V_y_2,V_x_2] : % 169.23/169.02 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2) % 169.23/169.02 <=> V_x_2 = V_y_2 ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Rep__Integ__inverse,axiom, % 169.23/169.02 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ). % 169.23/169.02 % 169.23/169.02 fof(fact_congruentD,axiom, % 169.23/169.02 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 169.23/169.02 => ( 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)) % 169.23/169.02 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_nat__def,axiom, % 169.23/169.02 ! [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)))))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_congruent2__implies__congruent,axiom, % 169.23/169.02 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2) % 169.23/169.02 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__equiv__class__inject,axiom, % 169.23/169.02 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 169.23/169.02 => ( 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) % 169.23/169.02 => ( 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))) % 169.23/169.02 => ( 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))) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.02 => ! [B_y] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 169.23/169.02 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 169.23/169.02 => 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)) ) ) ) % 169.23/169.02 => V_X_2 = V_Y_2 ) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__equiv__class__type2,axiom, % 169.23/169.02 ! [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] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2) % 169.23/169.02 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2) % 169.23/169.02 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2) % 169.23/169.02 => ( 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))) % 169.23/169.02 => ( 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))) % 169.23/169.02 => ( ! [B_x1] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2)) % 169.23/169.02 => ! [B_x2] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2)) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) ) % 169.23/169.02 => 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)) ) ) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UN__equiv__class__type,axiom, % 169.23/169.02 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] : % 169.23/169.02 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.23/169.02 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2) % 169.23/169.02 => ( 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))) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.02 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) ) % 169.23/169.02 => 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)) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_SUP2__iff,axiom, % 169.23/169.02 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 169.23/169.02 ( 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)) % 169.23/169.02 <=> ? [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.02 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Id__on__def,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_apsnd__apfst,axiom, % 169.23/169.02 ! [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))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_apfst__apsnd,axiom, % 169.23/169.02 ! [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))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_apfst__conv,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_fst__apfst,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_apfst__eq__conv,axiom, % 169.23/169.02 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] : % 169.23/169.02 ( 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) % 169.23/169.02 <=> 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)) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_snd__apfst,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_apsnd__apfst__commute,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Id__on__def_H,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Id__on__empty,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Image__Id__on,axiom, % 169.23/169.02 ! [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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Id__on__iff,axiom, % 169.23/169.02 ! [V_A_2,V_y_2,V_x_2,T_b] : % 169.23/169.02 ( hBOOL(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))) % 169.23/169.02 <=> ( V_x_2 = V_y_2 % 169.23/169.02 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Id__on__eqI,axiom, % 169.23/169.02 ! [V_A_2,T_b,V_b_2,V_a_2] : % 169.23/169.02 ( V_a_2 = V_b_2 % 169.23/169.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.23/169.02 => hBOOL(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))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Id__onE,axiom, % 169.23/169.02 ! [V_A_2,V_c_2,T_b] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2))) % 169.23/169.02 => ~ ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.23/169.02 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_compl__unique,axiom, % 169.23/169.02 ! [V_y,V_x,T_a] : % 169.23/169.02 ( class_Lattices_Oboolean__algebra(T_a) % 169.23/169.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a) % 169.23/169.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a) % 169.23/169.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom, % 169.23/169.02 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] : % 169.23/169.02 ( ( class_Groups_Ocomm__monoid__add(T_b) % 169.23/169.02 & class_Groups_Ocomm__monoid__mult(T_b) ) % 169.23/169.02 => ( V_A_2 = V_B_2 % 169.23/169.02 => ( c_Nat__Transfer_Onat__set(V_B_2) % 169.23/169.02 => ( ! [B_x] : % 169.23/169.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 169.23/169.02 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) % 169.23/169.02 => 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) ) ) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UNIV__I,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_infinite__UNIV__nat,axiom, % 169.23/169.02 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Pow__UNIV,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_card__UNIV__unit,axiom, % 169.23/169.02 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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UNIV__Plus__UNIV,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_top__apply,axiom, % 169.23/169.02 ! [V_x_2,T_c,T_b] : % 169.23/169.02 ( class_Orderings_Otop(T_b) % 169.23/169.02 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Un__UNIV__right,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Un__UNIV__left,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_UNIV__not__empty,axiom, % 169.23/169.02 ! [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)) ). % 169.23/169.02 % 169.23/169.02 fof(fact_subset__UNIV,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_finite__fun__UNIVD2,axiom, % 169.23/169.02 ! [T_c,T_b] : % 169.23/169.02 ( 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)))) % 169.23/169.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_finite__Prod__UNIV,axiom, % 169.23/169.02 ! [T_c,T_b] : % 169.23/169.02 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 169.23/169.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) % 169.23/169.02 => 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)))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_finite__option__UNIV,axiom, % 169.23/169.02 ! [T_b] : % 169.23/169.02 ( 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)))) % 169.23/169.02 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_finite__UNIV,axiom, % 169.23/169.02 ! [T_b] : % 169.23/169.02 ( class_Finite__Set_Ofinite(T_b) % 169.23/169.02 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_finite__Plus__UNIV__iff,axiom, % 169.23/169.02 ! [T_c,T_b] : % 169.23/169.02 ( 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)))) % 169.23/169.02 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 169.23/169.02 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_Int__UNIV__left,axiom, % 169.23/169.02 ! [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 ). % 169.23/169.02 % 169.23/169.02 fof(fact_Int__UNIV__right,axiom, % 169.23/169.02 ! [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 ). % 169.23/169.02 % 169.23/169.02 fof(fact_range__composition,axiom, % 169.23/169.02 ! [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)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_equiv__intrel,axiom, % 169.23/169.02 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) ). % 169.23/169.02 % 169.23/169.02 fof(fact_infinite__UNIV__int,axiom, % 169.23/169.02 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_inj__int,axiom, % 169.23/169.02 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))) ). % 169.23/169.02 % 169.23/169.02 fof(fact_inj__eq,axiom, % 169.23/169.02 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 169.23/169.02 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.02 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 169.23/169.02 <=> V_x_2 = V_y_2 ) ) ). % 169.23/169.02 % 169.23/169.02 fof(fact_injD,axiom, % 169.23/169.03 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 169.23/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.03 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 169.23/169.03 => V_x_2 = V_y_2 ) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_top__greatest,axiom, % 169.23/169.03 ! [V_x,T_a] : % 169.23/169.03 ( class_Orderings_Otop(T_a) % 169.23/169.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_sup__top__right,axiom, % 169.23/169.03 ! [V_x,T_a] : % 169.23/169.03 ( class_Lattices_Obounded__lattice__top(T_a) % 169.23/169.03 => 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) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_sup__top__left,axiom, % 169.23/169.03 ! [V_x,T_a] : % 169.23/169.03 ( class_Lattices_Obounded__lattice__top(T_a) % 169.23/169.03 => 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) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_inf__eq__top__iff,axiom, % 169.23/169.03 ! [V_y_2,V_x_2,T_b] : % 169.23/169.03 ( class_Lattices_Obounded__lattice__top(T_b) % 169.23/169.03 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b) % 169.23/169.03 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b) % 169.23/169.03 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_inf__top__right,axiom, % 169.23/169.03 ! [V_x,T_a] : % 169.23/169.03 ( class_Lattices_Obounded__lattice__top(T_a) % 169.23/169.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_inf__top__left,axiom, % 169.23/169.03 ! [V_x,T_a] : % 169.23/169.03 ( class_Lattices_Obounded__lattice__top(T_a) % 169.23/169.03 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_UN__lessThan__UNIV,axiom, % 169.23/169.03 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)) ). % 169.23/169.03 % 169.23/169.03 fof(fact_UN__atMost__UNIV,axiom, % 169.23/169.03 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)) ). % 169.23/169.03 % 169.23/169.03 fof(fact_rangeI,axiom, % 169.23/169.03 ! [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))))) ). % 169.23/169.03 % 169.23/169.03 fof(fact_range__eqI,axiom, % 169.23/169.03 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] : % 169.23/169.03 ( V_b_2 = hAPP(V_f_2,V_x_2) % 169.23/169.03 => 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))))) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_UN__atLeast__UNIV,axiom, % 169.23/169.03 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)) ). % 169.23/169.03 % 169.23/169.03 fof(fact_Diff__UNIV,axiom, % 169.23/169.03 ! [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)) ). % 169.23/169.03 % 169.23/169.03 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom, % 169.23/169.03 ! [V_A_2,T_b] : % 169.23/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 169.23/169.03 => ( 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))) % 169.23/169.03 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_inj__image__eq__iff,axiom, % 169.23/169.03 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.23/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.03 => ( 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) % 169.23/169.03 <=> V_A_2 = V_B_2 ) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_Compl__empty__eq,axiom, % 169.23/169.03 ! [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)) ). % 169.23/169.03 % 169.23/169.03 fof(fact_Compl__UNIV__eq,axiom, % 169.23/169.03 ! [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)) ). % 169.23/169.03 % 169.23/169.03 fof(fact_finite__compl,axiom, % 169.23/169.03 ! [V_A_2,T_b] : % 169.23/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.23/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) % 169.23/169.03 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_Compl__partition,axiom, % 169.23/169.03 ! [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)) ). % 169.23/169.03 % 169.23/169.03 fof(fact_Compl__partition2,axiom, % 169.23/169.03 ! [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)) ). % 169.23/169.03 % 169.23/169.03 fof(fact_Compl__eq__Diff__UNIV,axiom, % 169.23/169.03 ! [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) ). % 169.23/169.03 % 169.23/169.03 fof(fact_SUP__UN__eq,axiom, % 169.23/169.03 ! [V_x_2,V_r_2,T_c,T_b] : % 169.23/169.03 ( 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)) % 169.23/169.03 <=> 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))) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_finite__range__imageI,axiom, % 169.23/169.03 ! [V_f_2,T_d,V_g_2,T_c,T_b] : % 169.23/169.03 ( 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))))) % 169.23/169.03 => 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))))) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_the__inv__f__f,axiom, % 169.23/169.03 ! [V_x_2,V_f_2,T_c,T_b] : % 169.23/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.03 => 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 ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_finite__fun__UNIVD1,axiom, % 169.23/169.03 ! [T_c,T_b] : % 169.23/169.03 ( 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)))) % 169.23/169.03 => ( 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)) % 169.23/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_inj__of__nat,axiom, % 169.23/169.03 ! [T_b] : % 169.23/169.03 ( class_Nat_Osemiring__char__0(T_b) % 169.23/169.03 => 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))) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_atLeast__0,axiom, % 169.23/169.03 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)) ). % 169.23/169.03 % 169.23/169.03 fof(fact_inj__fun,axiom, % 169.23/169.03 ! [T_d,V_f_2,T_c,T_b] : % 169.23/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.03 => 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))) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_compl__bot__eq,axiom, % 169.23/169.03 ! [T_a] : % 169.23/169.03 ( class_Lattices_Oboolean__algebra(T_a) % 169.23/169.03 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_compl__top__eq,axiom, % 169.23/169.03 ! [T_a] : % 169.23/169.03 ( class_Lattices_Oboolean__algebra(T_a) % 169.23/169.03 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_sup__compl__top,axiom, % 169.23/169.03 ! [V_x,T_a] : % 169.23/169.03 ( class_Lattices_Oboolean__algebra(T_a) % 169.23/169.03 => 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) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_compl__sup__top,axiom, % 169.23/169.03 ! [V_x,T_a] : % 169.23/169.03 ( class_Lattices_Oboolean__algebra(T_a) % 169.23/169.03 => 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) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_inj__image__mem__iff,axiom, % 169.23/169.03 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] : % 169.23/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.03 => ( 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))) % 169.23/169.03 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_range__ex1__eq,axiom, % 169.23/169.03 ! [V_b_2,V_f_2,T_c,T_b] : % 169.23/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.03 => ( 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))))) % 169.23/169.03 <=> ? [B_x] : % 169.23/169.03 ( V_b_2 = hAPP(V_f_2,B_x) % 169.23/169.03 & ! [B_y] : % 169.23/169.03 ( V_b_2 = hAPP(V_f_2,B_y) % 169.23/169.03 => B_y = B_x ) ) ) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_finite__UNIV__surj__inj,axiom, % 169.23/169.03 ! [V_f_2,T_b] : % 169.23/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 169.23/169.03 => ( 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)) % 169.23/169.03 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_finite__UNIV__inj__surj,axiom, % 169.23/169.03 ! [V_f_2,T_b] : % 169.23/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 169.23/169.03 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.03 => 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)) ) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_inj__image__subset__iff,axiom, % 169.23/169.03 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.23/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.03 => ( 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))) % 169.23/169.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_image__Int,axiom, % 169.23/169.03 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.23/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.03 => 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)) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_image__set__diff,axiom, % 169.23/169.03 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.23/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.03 => 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)) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_surj__Compl__image__subset,axiom, % 169.23/169.03 ! [V_A_2,V_f_2,T_b,T_c] : % 169.23/169.03 ( 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)) % 169.23/169.03 => 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)))) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_UN__UN__finite__eq,axiom, % 169.23/169.03 ! [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) ). % 169.23/169.03 % 169.23/169.03 fof(fact_inj__singleton,axiom, % 169.23/169.03 ! [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))) ). % 169.23/169.03 % 169.23/169.03 fof(fact_finite__UNIV__card__ge__0,axiom, % 169.23/169.03 ! [T_b] : % 169.23/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 169.23/169.03 => 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))))) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_card__UNIV__bool,axiom, % 169.23/169.03 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))) ). % 169.23/169.03 % 169.23/169.03 fof(fact_inj__image__Compl__subset,axiom, % 169.23/169.03 ! [V_A_2,V_f_2,T_c,T_b] : % 169.23/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.23/169.03 => 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)))) ) ). % 169.23/169.03 % 169.23/169.03 fof(fact_greaterThan__0,axiom, % 169.23/169.03 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))) ). % 169.23/169.03 % 169.23/169.03 fof(fact_SUP__UN__eq2,axiom, % 169.23/169.03 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 169.23/169.03 ( 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)) % 169.26/169.03 <=> 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_UN__finite2__subset,axiom, % 169.26/169.03 ! [V_B_2,V_k_2,V_A_2,T_b] : % 169.26/169.03 ( ! [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))) % 169.26/169.03 => 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_UN__finite2__eq,axiom, % 169.26/169.03 ! [V_B_2,V_k_2,V_A_2,T_b] : % 169.26/169.03 ( ! [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) % 169.26/169.03 => 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) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_UN__finite__subset,axiom, % 169.26/169.03 ! [V_C_2,V_A_2,T_b] : % 169.26/169.03 ( ! [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)) % 169.26/169.03 => 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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_top1I,axiom, % 169.26/169.03 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Integ__def,axiom, % 169.26/169.03 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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_iso__tuple__UNIV__I,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_equivp__equiv,axiom, % 169.26/169.03 ! [V_A_2,T_b] : % 169.26/169.03 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2) % 169.26/169.03 <=> 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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_equivp__transp,axiom, % 169.26/169.03 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 169.26/169.03 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 169.26/169.03 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_equivp__symp,axiom, % 169.26/169.03 ! [V_y_2,V_x_2,V_R_2,T_b] : % 169.26/169.03 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 169.26/169.03 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_equivp__reflp,axiom, % 169.26/169.03 ! [V_x_2,V_R_2,T_b] : % 169.26/169.03 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 169.26/169.03 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_equivp__def,axiom, % 169.26/169.03 ! [V_R_2,T_b] : % 169.26/169.03 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 169.26/169.03 <=> ! [B_x,B_y] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 169.26/169.03 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_identity__equivp,axiom, % 169.26/169.03 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Rep__Integ,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_type__definition__Integ,axiom, % 169.26/169.03 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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_inj__vimage__singleton,axiom, % 169.26/169.03 ! [V_a_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.03 => 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))))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_accp__acc__eq,axiom, % 169.26/169.03 ! [V_x_2,V_r_2,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimageI,axiom, % 169.26/169.03 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] : % 169.26/169.03 ( hAPP(V_f_2,V_a_2) = V_b_2 % 169.26/169.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2)) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__Int,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimageI2,axiom, % 169.26/169.03 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimageD,axiom, % 169.26/169.03 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2))) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__eq,axiom, % 169.26/169.03 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2))) % 169.26/169.03 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__mono,axiom, % 169.26/169.03 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.26/169.03 => 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__empty,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__Un,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__code,axiom, % 169.26/169.03 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2)) % 169.26/169.03 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__ident,axiom, % 169.26/169.03 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__Compl,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__Diff,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__UN,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__UNIV,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_image__vimage__subset,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_surj__image__vimage__eq,axiom, % 169.26/169.03 ! [V_A_2,V_f_2,T_b,T_c] : % 169.26/169.03 ( 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)) % 169.26/169.03 => 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 ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_acc__subset,axiom, % 169.26/169.03 ! [V_R2_2,V_R1_2,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__singleton__eq,axiom, % 169.26/169.03 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] : % 169.26/169.03 ( 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)))))) % 169.26/169.03 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__insert,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__vimageD,axiom, % 169.26/169.03 ! [V_F_2,V_h_2,T_c,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 169.26/169.03 => ( 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)) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__subsetD,axiom, % 169.26/169.03 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] : % 169.26/169.03 ( 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)) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_image__vimage__eq,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__vimageI,axiom, % 169.26/169.03 ! [V_h_2,T_c,V_F_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) % 169.26/169.03 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_inj__vimage__image__eq,axiom, % 169.26/169.03 ! [V_A_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.03 => 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 ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__const,axiom, % 169.26/169.03 ! [T_c,V_A_2,V_c_2,T_b] : % 169.26/169.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 169.26/169.03 => 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)) ) % 169.26/169.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__eq__UN,axiom, % 169.26/169.03 ! [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))))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_acc_Osimps,axiom, % 169.26/169.03 ! [V_r_2,V_a_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 169.26/169.03 <=> ! [B_x] : % 169.26/169.03 ( 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)) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_acc__downward,axiom, % 169.26/169.03 ! [V_a_2,V_r_2,V_b_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 169.26/169.03 => ( hBOOL(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)) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__subsetI,axiom, % 169.26/169.03 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.03 => ( 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))) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__if,axiom, % 169.26/169.03 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] : % 169.26/169.03 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 169.26/169.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 169.26/169.03 => 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)) ) % 169.26/169.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 169.26/169.03 => 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 ) ) ) % 169.26/169.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) % 169.26/169.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 169.26/169.03 => 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) ) % 169.26/169.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2)) % 169.26/169.03 => 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)) ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_type__definition_ORep__range,axiom, % 169.26/169.03 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 169.26/169.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 169.26/169.03 => 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 ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_type__definition_OAbs__image,axiom, % 169.26/169.03 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 169.26/169.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 169.26/169.03 => 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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_type__definition_OAbs__inject,axiom, % 169.26/169.03 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 169.26/169.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2)) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 169.26/169.03 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2) % 169.26/169.03 <=> V_x_2 = V_y_2 ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_type__definition_ORep__inverse,axiom, % 169.26/169.03 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 169.26/169.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 169.26/169.03 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_type__definition_ORep__inject,axiom, % 169.26/169.03 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 169.26/169.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 169.26/169.03 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2) % 169.26/169.03 <=> V_x_2 = V_y_2 ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_type__definition_ORep,axiom, % 169.26/169.03 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 169.26/169.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_type__definition_OAbs__inverse,axiom, % 169.26/169.03 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] : % 169.26/169.03 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2)) % 169.26/169.03 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_max__extp_Oequations,axiom, % 169.26/169.03 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 169.26/169.03 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 169.26/169.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 169.26/169.03 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 & ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 169.26/169.03 => ? [B_xa] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 169.26/169.03 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_max__ext_Ointros,axiom, % 169.26/169.03 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 169.26/169.03 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 169.26/169.03 => ? [B_xa] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 169.26/169.03 & 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)) ) ) % 169.26/169.03 => 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))) ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Nitpick_Ozero__frac__def,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Nitpick_Oone__frac__def,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Nitpick_Onumber__of__frac__def,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Nitpick_Ofrac__def,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_image__split__eq__Sigma,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_int__val__lemma,axiom, % 169.26/169.03 ! [V_k_2,V_f_2,V_na_2] : % 169.26/169.03 ( ! [B_i] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 169.26/169.03 => 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))) ) % 169.26/169.03 => ( 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)) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 169.26/169.03 => ? [B_i] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 169.26/169.03 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_nat0__intermed__int__val,axiom, % 169.26/169.03 ! [V_k_2,V_f_2,V_na_2] : % 169.26/169.03 ( ! [B_i] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 169.26/169.03 => 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))) ) % 169.26/169.03 => ( 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)) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 169.26/169.03 => ? [B_i] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 169.26/169.03 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_SigmaI,axiom, % 169.26/169.03 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) % 169.26/169.03 => 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Sigma__Diff__distrib2,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Times__Diff__distrib1,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Sigma__Diff__distrib1,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Times__eq__cancel2,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 169.26/169.03 => ( 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)) % 169.26/169.03 <=> V_A_2 = V_B_2 ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Sigma__empty1,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_card__cartesian__product,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__cartesian__product,axiom, % 169.26/169.03 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__add(T_b) % 169.26/169.03 => 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Sigma__empty2,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Times__empty,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Compl__Times__UNIV2,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Compl__Times__UNIV1,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setprod__cartesian__product,axiom, % 169.26/169.03 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__mult(T_b) % 169.26/169.03 => 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Sigma__Un__distrib1,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Times__Un__distrib1,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Sigma__Un__distrib2,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_swap__product,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__cartesian__product,axiom, % 169.26/169.03 ! [V_B_2,T_c,V_A_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 169.26/169.03 => 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)))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_equiv__type,axiom, % 169.26/169.03 ! [V_r_2,V_A_2,T_b] : % 169.26/169.03 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.26/169.03 => 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)))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Sigma__Int__distrib1,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Times__Int__distrib1,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Sigma__Int__distrib2,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Id__on__subset__Times,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_UNIV__Times__UNIV,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_mem__Sigma__iff,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.03 ( 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))) % 169.26/169.03 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.03 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_SigmaD1,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.03 ( 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))) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_SigmaD2,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.03 ( 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))) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_SigmaE2,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.03 ( 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))) % 169.26/169.03 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.03 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_card__cartesian__product__singleton,axiom, % 169.26/169.03 ! [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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Times__subset__cancel2,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2)) % 169.26/169.03 => ( 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)))) % 169.26/169.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Image__subset,axiom, % 169.26/169.03 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 169.26/169.03 ( 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)))) % 169.26/169.03 => 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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__cartesian__productD2,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,T_c,T_b] : % 169.26/169.03 ( 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)))) % 169.26/169.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__cartesian__productD1,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,T_c,T_b] : % 169.26/169.03 ( 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)))) % 169.26/169.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_fst__image__times,axiom, % 169.26/169.03 ! [V_A_2,T_c,T_b,V_B_2] : % 169.26/169.03 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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)) ) % 169.26/169.03 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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 ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_snd__image__times,axiom, % 169.26/169.03 ! [V_B_2,T_c,T_b,V_A_2] : % 169.26/169.03 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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)) ) % 169.26/169.03 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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 ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_insert__times__insert,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__equiv__class,axiom, % 169.26/169.03 ! [V_X_2,V_r_2,V_A_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( 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)))) % 169.26/169.03 => ( 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))) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_UN__Times__distrib,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Sigma__def,axiom, % 169.26/169.03 ! [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))))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__quotient,axiom, % 169.26/169.03 ! [V_r_2,V_A_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( 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)))) % 169.26/169.03 => 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Ex__inj__on__UNION__Sigma,axiom, % 169.26/169.03 ! [V_A_2,V_I_2,T_c,T_b] : % 169.26/169.03 ? [B_f] : % 169.26/169.03 ( 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)) % 169.26/169.03 & 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_fold__image__Sigma,axiom, % 169.26/169.03 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__mult(T_d) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 169.26/169.03 => 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)) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__SigmaI,axiom, % 169.26/169.03 ! [V_B_2,T_c,V_A_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( ! [B_a] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 169.26/169.03 => 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setprod__Sigma,axiom, % 169.26/169.03 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__mult(T_d) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 169.26/169.03 => 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)) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__Sigma,axiom, % 169.26/169.03 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__add(T_d) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 169.26/169.03 => 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)) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_card__SigmaI,axiom, % 169.26/169.03 ! [V_B_2,T_c,V_A_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) % 169.26/169.03 => 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) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_SigmaE,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] : % 169.26/169.03 ( 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))) % 169.26/169.03 => ~ ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.03 => ! [B_y] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x))) % 169.26/169.03 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair__surj,axiom, % 169.26/169.03 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] : % 169.26/169.03 ( 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)) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair__inj__on,axiom, % 169.26/169.03 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.03 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2) % 169.26/169.03 => 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair__imageI,axiom, % 169.26/169.03 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_fst__map__pair,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair__simp,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair__ident,axiom, % 169.26/169.03 ! [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 ). % 169.26/169.03 % 169.26/169.03 fof(fact_snd__prod__fun,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair__def,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair__surj__on,axiom, % 169.26/169.03 ! [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] : % 169.26/169.03 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 169.26/169.03 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2 % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_prod__fun__imageE,axiom, % 169.26/169.03 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] : % 169.26/169.03 ( 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))) % 169.26/169.03 => ~ ! [B_x,B_y] : % 169.26/169.03 ( 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)) % 169.26/169.03 => ~ 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_refl__on__def,axiom, % 169.26/169.03 ! [V_r_2,V_A_2,T_b] : % 169.26/169.03 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.03 <=> ( 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)))) % 169.26/169.03 & ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.03 => 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)) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setprod__pos__nat,axiom, % 169.26/169.03 ! [V_f_2,V_S_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.26/169.03 => ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 169.26/169.03 => 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))) ) % 169.26/169.03 => 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_refl__on__Id__on,axiom, % 169.26/169.03 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_refl__on__empty,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_refl__on__Un,axiom, % 169.26/169.03 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 169.26/169.03 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.03 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_refl__on__Int,axiom, % 169.26/169.03 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] : % 169.26/169.03 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.03 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_refl__onD,axiom, % 169.26/169.03 ! [V_a_2,V_r_2,V_A_2,T_b] : % 169.26/169.03 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.03 => hBOOL(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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_refl__onD1,axiom, % 169.26/169.03 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 169.26/169.03 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.03 => ( hBOOL(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)) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_refl__onD2,axiom, % 169.26/169.03 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] : % 169.26/169.03 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.03 => ( hBOOL(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)) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_refl__onI,axiom, % 169.26/169.03 ! [V_A_2,V_r_2,T_b] : % 169.26/169.03 ( 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)))) % 169.26/169.03 => ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.03 => 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)) ) % 169.26/169.03 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Rep__Integ__cases,axiom, % 169.26/169.03 ! [V_y_2] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 169.26/169.03 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Rep__Integ__induct,axiom, % 169.26/169.03 ! [V_Pa_2,V_y_2] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg)) % 169.26/169.03 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x))) % 169.26/169.03 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 169.26/169.03 => ( ! [B_x] : % 169.26/169.03 ( 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))) % 169.26/169.03 => hAPP(V_g_2,B_x) = V_z_2 ) % 169.26/169.03 => 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)) ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_card__less__Suc2,axiom, % 169.26/169.03 ! [V_i_2,V_M_2] : % 169.26/169.03 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 169.26/169.03 => 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))))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_card__less,axiom, % 169.26/169.03 ! [V_i_2,V_M_2] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 169.26/169.03 => 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) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_CollectI,axiom, % 169.26/169.03 ! [T_b,V_a_2,V_Pa_2] : % 169.26/169.03 ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__Collect__conjI,axiom, % 169.26/169.03 ! [V_Q_2,V_Pa_2,T_b] : % 169.26/169.03 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 169.26/169.03 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) % 169.26/169.03 => 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)))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__Collect__less__nat,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__Collect__le__nat,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Collect__split,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_SetCompr__Sigma__eq,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Collect__neg__eq,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Collect__conj__eq,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Collect__empty__eq,axiom, % 169.26/169.03 ! [V_Pa_2,T_b] : % 169.26/169.03 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_empty__Collect__eq,axiom, % 169.26/169.03 ! [V_Pa_2,T_b] : % 169.26/169.03 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2) % 169.26/169.03 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Collect__def,axiom, % 169.26/169.03 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ). % 169.26/169.03 % 169.26/169.03 fof(fact_Collect__disj__eq,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_insert__Collect,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_empty__def,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__Collect__disjI,axiom, % 169.26/169.03 ! [V_Q_2,V_Pa_2,T_b] : % 169.26/169.03 ( 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)))) % 169.26/169.03 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 169.26/169.03 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_UNIV__def,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__Collect__eq,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Collect__mem__eq,axiom, % 169.26/169.03 ! [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 ). % 169.26/169.03 % 169.26/169.03 fof(fact_mem__Collect__eq,axiom, % 169.26/169.03 ! [V_Pa_2,V_a_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 169.26/169.03 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_CollectD,axiom, % 169.26/169.03 ! [V_Pa_2,V_a_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 169.26/169.03 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_CollectE,axiom, % 169.26/169.03 ! [V_Pa_2,V_a_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 169.26/169.03 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_insert__compr,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_insert__compr__raw,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Un__def,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Int__Collect,axiom, % 169.26/169.03 ! [V_Pa_2,V_A_2,V_x_2,T_b] : % 169.26/169.03 ( 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)))) % 169.26/169.03 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.03 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Int__def,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_singleton__conv2,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_singleton__conv,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Collect__conv__if2,axiom, % 169.26/169.03 ! [T_b,V_a_2,V_Pa_2] : % 169.26/169.03 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 169.26/169.03 => 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))) ) % 169.26/169.03 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Collect__conv__if,axiom, % 169.26/169.03 ! [T_b,V_a_2,V_Pa_2] : % 169.26/169.03 ( ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 169.26/169.03 => 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))) ) % 169.26/169.03 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_set__diff__eq,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__Collect__not,axiom, % 169.26/169.03 ! [V_Pa_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 169.26/169.03 => ( 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)))) % 169.26/169.03 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_insert__def,axiom, % 169.26/169.03 ! [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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Compl__eq,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__def,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Collect__imp__eq,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__M__bounded__by__nat,axiom, % 169.26/169.03 ! [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))))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__setsum__restrict,axiom, % 169.26/169.03 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__add(T_d) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 169.26/169.03 => 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) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_if__image__distrib,axiom, % 169.26/169.03 ! [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))))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_nat__seg__image__imp__finite,axiom, % 169.26/169.03 ! [V_na_2,V_f_2,T_b,V_A_2] : % 169.26/169.03 ( 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))) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__restrict__set_H,axiom, % 169.26/169.03 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__add(T_c) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => 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) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__image__gen,axiom, % 169.26/169.03 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__add(T_c) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Image__singleton,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__cases,axiom, % 169.26/169.03 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__add(T_c) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => 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))))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_card__less__Suc,axiom, % 169.26/169.03 ! [V_i_2,V_M_2] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2)) % 169.26/169.03 => 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))))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__multicount,axiom, % 169.26/169.03 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2)) % 169.26/169.03 => ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2)) % 169.26/169.03 => 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 ) % 169.26/169.03 => 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)) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_min__max_Osup__Inf1__distrib,axiom, % 169.26/169.03 ! [V_x_2,V_A_2,T_b] : % 169.26/169.03 ( class_Orderings_Olinorder(T_b) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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))))) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_min__max_Osup__Inf2__distrib,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,T_b] : % 169.26/169.03 ( class_Orderings_Olinorder(T_b) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.26/169.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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))))))) ) ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__Collect__subsets,axiom, % 169.26/169.03 ! [V_A_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => 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)))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Pow__Compl,axiom, % 169.26/169.03 ! [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))))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Pow__def,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__image__set,axiom, % 169.26/169.03 ! [V_f_2,T_c,V_Pa_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 169.26/169.03 => 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))))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__Collect__bounded__ex,axiom, % 169.26/169.03 ! [V_Q_2,T_c,V_Pa_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2))) % 169.26/169.03 => ( 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))))) % 169.26/169.03 <=> ! [B_y] : % 169.26/169.03 ( hBOOL(hAPP(V_Pa_2,B_y)) % 169.26/169.03 => 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)))) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_inj__graph,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__psubset__def,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_inv__image__def,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_add__Min__commute,axiom, % 169.26/169.03 ! [V_k_2,V_N_2,T_b] : % 169.26/169.03 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 169.26/169.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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))))) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_add__Max__commute,axiom, % 169.26/169.03 ! [V_k_2,V_N_2,T_b] : % 169.26/169.03 ( class_Groups_Olinordered__ab__semigroup__add(T_b) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2)) % 169.26/169.03 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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))))) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_sup__Inf2__distrib,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,T_b] : % 169.26/169.03 ( class_Lattices_Odistrib__lattice(T_b) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.26/169.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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))))))) ) ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_sup__Inf1__distrib,axiom, % 169.26/169.03 ! [V_x_2,V_A_2,T_b] : % 169.26/169.03 ( class_Lattices_Odistrib__lattice(T_b) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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))))) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_inf__Sup1__distrib,axiom, % 169.26/169.03 ! [V_x_2,V_A_2,T_b] : % 169.26/169.03 ( class_Lattices_Odistrib__lattice(T_b) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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))))) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_inf__Sup2__distrib,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,T_b] : % 169.26/169.03 ( class_Lattices_Odistrib__lattice(T_b) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.26/169.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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))))))) ) ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_min__max_Oinf__Sup2__distrib,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,T_b] : % 169.26/169.03 ( class_Orderings_Olinorder(T_b) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.26/169.03 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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))))))) ) ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_min__max_Oinf__Sup1__distrib,axiom, % 169.26/169.03 ! [V_x_2,V_A_2,T_b] : % 169.26/169.03 ( class_Orderings_Olinorder(T_b) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 => 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))))) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Nitpick_Oprod__def,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_int__ge__less__than2__def,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_int__ge__less__than__def,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_reflp__def,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Predicate_Oreflp(T_b,V_r_2) % 169.26/169.03 <=> 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__mult__setsum__if__inj,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : % 169.26/169.03 ( class_Rings_Osemiring__0(T_d) % 169.26/169.03 => ( 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))) % 169.26/169.03 => 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))))))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__multicount__gen,axiom, % 169.26/169.03 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2)) % 169.26/169.03 => ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2)) % 169.26/169.03 => 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) ) % 169.26/169.03 => 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) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_inj__on__id,axiom, % 169.26/169.03 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__id,axiom, % 169.26/169.03 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ). % 169.26/169.03 % 169.26/169.03 fof(fact_apfst__id,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_id__def,axiom, % 169.26/169.03 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ). % 169.26/169.03 % 169.26/169.03 fof(fact_id__apply,axiom, % 169.26/169.03 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ). % 169.26/169.03 % 169.26/169.03 fof(fact_reflpE,axiom, % 169.26/169.03 ! [V_x_2,V_r_2,T_b] : % 169.26/169.03 ( c_Predicate_Oreflp(T_b,V_r_2) % 169.26/169.03 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_apsnd__id,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair_Oid,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair_Oidentity,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_image__id,axiom, % 169.26/169.03 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ). % 169.26/169.03 % 169.26/169.03 fof(fact_of__int__eq__id,axiom, % 169.26/169.03 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ). % 169.26/169.03 % 169.26/169.03 fof(fact_surj__id,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_apfst__def,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_apsnd__def,axiom, % 169.26/169.03 ! [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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_split__Pair,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__reindex__id,axiom, % 169.26/169.03 ! [V_B_2,V_f_2,T_b,T_c] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__add(T_c) % 169.26/169.03 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setprod__reindex__id,axiom, % 169.26/169.03 ! [V_B_2,V_f_2,T_b,T_c] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.26/169.03 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__conv__nat__seg__image,axiom, % 169.26/169.03 ! [V_A_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 <=> ? [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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_rel__comp__def,axiom, % 169.26/169.03 ! [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))))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Range__Collect__split,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_rel__compI,axiom, % 169.26/169.03 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_RangeI,axiom, % 169.26/169.03 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_rel__comp__UNION__distrib,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_rel__comp__UNION__distrib2,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_rel__comp__mono,axiom, % 169.26/169.03 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_rel__comp__empty2,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_rel__comp__empty1,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_rel__comp__distrib2,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_rel__comp__distrib,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_O__assoc,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Range__Id__on,axiom, % 169.26/169.03 ! [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 ). % 169.26/169.03 % 169.26/169.03 fof(fact_union__comp__emptyL,axiom, % 169.26/169.03 ! [V_B_2,V_C_2,V_A_2,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_union__comp__emptyR,axiom, % 169.26/169.03 ! [V_C_2,V_B_2,V_A_2,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Range__empty__iff,axiom, % 169.26/169.03 ! [V_r_2,T_b,T_c] : % 169.26/169.03 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Range__empty,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_rel__comp__subset__Sigma,axiom, % 169.26/169.03 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] : % 169.26/169.03 ( 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)))) % 169.26/169.03 => ( 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)))) % 169.26/169.03 => 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)))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Range__Un__eq,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__Range,axiom, % 169.26/169.03 ! [V_r_2,T_c,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_snd__eq__Range,axiom, % 169.26/169.03 ! [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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Range__iff,axiom, % 169.26/169.03 ! [V_r_2,T_c,V_a_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 169.26/169.03 <=> ? [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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Range__insert,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Range__Int__subset,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Range__Diff__subset,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_max__ext__compat,axiom, % 169.26/169.03 ! [V_S_2,V_R_2,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_min__ext__compat,axiom, % 169.26/169.03 ! [V_S_2,V_R_2,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_RangeP__Range__eq,axiom, % 169.26/169.03 ! [V_x_2,V_r_2,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_RangeE,axiom, % 169.26/169.03 ! [V_r_2,T_c,V_b_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2))) % 169.26/169.03 => ~ ! [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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_pred__comp__rel__comp__eq,axiom, % 169.26/169.03 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 <=> 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_pred__comp_Ointros,axiom, % 169.26/169.03 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_RangeP_Ointros,axiom, % 169.26/169.03 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 169.26/169.03 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_pred__comp_Oequations,axiom, % 169.26/169.03 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 <=> ? [B_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b)) % 169.26/169.03 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_RangeP_Oequations,axiom, % 169.26/169.03 ! [V_a2_2,V_r_2,T_c,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2)) % 169.26/169.03 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_reduction__pairI,axiom, % 169.26/169.03 ! [V_S_2,V_R_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_R_2) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Domain__Collect__split,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_pigeonhole__infinite,axiom, % 169.26/169.03 ! [V_f_2,T_c,V_A_2,T_b] : % 169.26/169.03 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 169.26/169.03 => ? [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.03 & ~ 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)))))) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__less__than,axiom, % 169.26/169.03 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__empty,axiom, % 169.26/169.03 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__inv__image,axiom, % 169.26/169.03 ! [V_f_2,T_c,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__lex__prod,axiom, % 169.26/169.03 ! [V_rb_2,T_c,V_ra_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_ra_2) % 169.26/169.03 => ( c_Wellfounded_Owf(T_c,V_rb_2) % 169.26/169.03 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__measure,axiom, % 169.26/169.03 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_DomainI,axiom, % 169.26/169.03 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__comp__self,axiom, % 169.26/169.03 ! [V_R_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_R_2) % 169.26/169.03 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_min__ext__wf,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__subset,axiom, % 169.26/169.03 ! [V_p_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => ( 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)) % 169.26/169.03 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__finite__psubset,axiom, % 169.26/169.03 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__mlex,axiom, % 169.26/169.03 ! [V_f_2,V_R_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_R_2) % 169.26/169.03 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__Int2,axiom, % 169.26/169.03 ! [V_r_H_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => 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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__Int1,axiom, % 169.26/169.03 ! [V_r_H_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => 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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_max__ext__wf,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__pair__less,axiom, % 169.26/169.03 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Domain__Id__on,axiom, % 169.26/169.03 ! [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 ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__less,axiom, % 169.26/169.03 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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__irrefl,axiom, % 169.26/169.03 ! [V_a_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => ~ hBOOL(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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__asym,axiom, % 169.26/169.03 ! [V_x_2,V_a_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => ( hBOOL(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)) % 169.26/169.03 => ~ hBOOL(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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__not__sym,axiom, % 169.26/169.03 ! [V_x_2,V_a_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => ( hBOOL(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)) % 169.26/169.03 => ~ hBOOL(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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__not__refl,axiom, % 169.26/169.03 ! [V_a_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => ~ hBOOL(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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__int__ge__less__than,axiom, % 169.26/169.03 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__int__ge__less__than2,axiom, % 169.26/169.03 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__Un,axiom, % 169.26/169.03 ! [V_s_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => ( c_Wellfounded_Owf(T_b,V_s_2) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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)) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__acc__iff,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_acc__wfD,axiom, % 169.26/169.03 ! [V_x_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__no__loop,axiom, % 169.26/169.03 ! [V_R_2,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__union__merge,axiom, % 169.26/169.03 ! [V_S_2,V_R_2,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 <=> 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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Domain__empty__iff,axiom, % 169.26/169.03 ! [V_r_2,T_c,T_b] : % 169.26/169.03 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.03 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Domain__empty,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Domain__mono,axiom, % 169.26/169.03 ! [V_s_2,V_r_2,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Domain__Un__eq,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__Domain,axiom, % 169.26/169.03 ! [V_r_2,T_c,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2)) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_fst__eq__Domain,axiom, % 169.26/169.03 ! [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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__iff__no__infinite__down__chain,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 <=> ~ ? [B_f] : % 169.26/169.03 ! [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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wfE__pf,axiom, % 169.26/169.03 ! [V_A_2,V_R_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_R_2) % 169.26/169.03 => ( 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))) % 169.26/169.03 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__union__compatible,axiom, % 169.26/169.03 ! [V_S_2,V_R_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_R_2) % 169.26/169.03 => ( c_Wellfounded_Owf(T_b,V_S_2) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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)) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Domain__iff,axiom, % 169.26/169.03 ! [V_r_2,T_c,V_a_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 169.26/169.03 <=> ? [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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf,axiom, % 169.26/169.03 ! [T_b] : % 169.26/169.03 ( class_Orderings_Owellorder(T_b) % 169.26/169.03 => 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)))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Domain__insert,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_reduction__pair__def,axiom, % 169.26/169.03 ! [V_Pa_2,T_b] : % 169.26/169.03 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 169.26/169.03 <=> ( 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)) % 169.26/169.03 & 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_reduction__pair__lemma,axiom, % 169.26/169.03 ! [V_S_2,V_R_2,V_Pa_2,T_b] : % 169.26/169.03 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2) % 169.26/169.03 => ( 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))) % 169.26/169.03 => ( 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))) % 169.26/169.03 => ( c_Wellfounded_Owf(T_b,V_S_2) % 169.26/169.03 => 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)) ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Domain__Int__subset,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Domain__Diff__subset,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Field__def,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__map__pair__image,axiom, % 169.26/169.03 ! [V_f_2,T_c,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_DomainP__Domain__eq,axiom, % 169.26/169.03 ! [V_x_2,V_r_2,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__lenlex,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_DomainE,axiom, % 169.26/169.03 ! [V_r_2,T_c,V_a_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) % 169.26/169.03 => ~ ! [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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_DomainP_Ointros,axiom, % 169.26/169.03 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 169.26/169.03 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_DomainP_Oequations,axiom, % 169.26/169.03 ! [V_a1_2,V_r_2,T_c,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2)) % 169.26/169.03 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_pred__nat__def,axiom, % 169.26/169.03 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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__lex,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__lexn,axiom, % 169.26/169.03 ! [V_na_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_na_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_lex__def,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_lexn_Osimps_I1_J,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__pred__nat,axiom, % 169.26/169.03 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__same__fst,axiom, % 169.26/169.03 ! [T_b,V_R_2,T_c,V_Pa_2] : % 169.26/169.03 ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(V_Pa_2,B_x)) % 169.26/169.03 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) ) % 169.26/169.03 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__if__measure,axiom, % 169.26/169.03 ! [T_b,V_g_2,V_f_2,V_Pa_2] : % 169.26/169.03 ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(V_Pa_2,B_x)) % 169.26/169.03 => 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))) ) % 169.26/169.03 => 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))))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wfP__def,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_OwfP(T_b,V_r_2) % 169.26/169.03 <=> 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wfP__empty,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wfP__accp__iff,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_OwfP(T_b,V_r_2) % 169.26/169.03 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_accp__wfPD,axiom, % 169.26/169.03 ! [V_x_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_OwfP(T_b,V_r_2) % 169.26/169.03 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wfP__subset,axiom, % 169.26/169.03 ! [V_p_2,V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_OwfP(T_b,V_r_2) % 169.26/169.03 => ( 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)) % 169.26/169.03 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__in__rel,axiom, % 169.26/169.03 ! [V_R_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_R_2) % 169.26/169.03 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wfP__wf__eq,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wfP__acyclicP,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_OwfP(T_b,V_r_2) % 169.26/169.03 => 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_refl__on__def_H,axiom, % 169.26/169.03 ! [V_r_2,V_A_2,T_b] : % 169.26/169.03 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.03 <=> ( ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 169.26/169.03 => 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)) ) % 169.26/169.03 & ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.03 => 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)) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Abs__Integ__induct,axiom, % 169.26/169.03 ! [V_x_2,V_Pa_2] : % 169.26/169.03 ( ! [B_y] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) % 169.26/169.03 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) ) % 169.26/169.03 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_ball__empty,axiom, % 169.26/169.03 ! [V_Pa_2,T_b,B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 169.26/169.03 => hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__acyclic,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_acyclic__subset,axiom, % 169.26/169.03 ! [V_r_2,V_s_2,T_b] : % 169.26/169.03 ( c_Wellfounded_Oacyclic(T_b,V_s_2) % 169.26/169.03 => ( 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)) % 169.26/169.03 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Powp__def,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2)) % 169.26/169.03 <=> ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2)) % 169.26/169.03 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_congruent__def,axiom, % 169.26/169.03 ! [V_f_2,V_r_2,T_c,T_b] : % 169.26/169.03 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) % 169.26/169.03 <=> ! [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wf__iff__acyclic__if__finite,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 169.26/169.03 => ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.03 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__acyclic__wf,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 169.26/169.03 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 169.26/169.03 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Nitpick_Owf_H__def,axiom, % 169.26/169.03 ! [V_r_2,T_b] : % 169.26/169.03 ( c_Nitpick_Owf_H(T_b,V_r_2) % 169.26/169.03 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 169.26/169.03 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 169.26/169.03 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Abs__Integ__cases,axiom, % 169.26/169.03 ! [V_x_2] : % 169.26/169.03 ~ ! [B_y] : % 169.26/169.03 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y) % 169.26/169.03 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_finite__UN__I,axiom, % 169.26/169.03 ! [V_B_2,T_c,V_A_2,T_b] : % 169.26/169.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( ! [B_a] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 169.26/169.03 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) ) % 169.26/169.03 => 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_wfP__SUP,axiom, % 169.26/169.03 ! [T_b,V_r_2,T_c] : % 169.26/169.03 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i)) % 169.26/169.03 => ( ! [B_i,B_j] : % 169.26/169.03 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j) % 169.26/169.03 => 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)) ) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_mem__splitE,axiom, % 169.26/169.03 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] : % 169.26/169.03 ( 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))) % 169.26/169.03 => ~ ! [B_x,B_y] : % 169.26/169.03 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y) % 169.26/169.03 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_mem__splitI2,axiom, % 169.26/169.03 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] : % 169.26/169.03 ( ! [B_a,B_b] : % 169.26/169.03 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b) % 169.26/169.03 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) ) % 169.26/169.03 => 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))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__Times,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__SucD,axiom, % 169.26/169.03 ! [V_na_2,V_A_2,V_f_2,T_b] : % 169.26/169.03 ( 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) % 169.26/169.03 => ? [B_x] : % 169.26/169.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.03 & 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Eps__split,axiom, % 169.26/169.03 ! [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))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_comp__surj,axiom, % 169.26/169.03 ! [V_g_2,T_d,V_f_2,T_b,T_c] : % 169.26/169.03 ( 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)) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_o__id,axiom, % 169.26/169.03 ! [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 ). % 169.26/169.03 % 169.26/169.03 fof(fact_id__o,axiom, % 169.26/169.03 ! [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 ). % 169.26/169.03 % 169.26/169.03 fof(fact_o__eq__id__dest,axiom, % 169.26/169.03 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 169.26/169.03 ( 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) % 169.26/169.03 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_exE__some,axiom, % 169.26/169.03 ! [T_b,V_c_2,V_Pa_2] : % 169.26/169.03 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 169.26/169.03 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2) % 169.26/169.03 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_vimage__compose,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_apfst__compose,axiom, % 169.26/169.03 ! [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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom, % 169.26/169.03 ! [V_x_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 169.26/169.03 => 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) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_o__def,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_some__sym__eq__trivial,axiom, % 169.26/169.03 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ). % 169.26/169.03 % 169.26/169.03 fof(fact_some__eq__trivial,axiom, % 169.26/169.03 ! [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 ). % 169.26/169.03 % 169.26/169.03 fof(fact_some__eq__ex,axiom, % 169.26/169.03 ! [T_b,V_Pa_2] : % 169.26/169.03 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) % 169.26/169.03 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_someI__ex,axiom, % 169.26/169.03 ! [T_b,V_Pa_2] : % 169.26/169.03 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 169.26/169.03 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_o__eq__elim,axiom, % 169.26/169.03 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 169.26/169.03 ( 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) % 169.26/169.03 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_o__eq__dest,axiom, % 169.26/169.03 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] : % 169.26/169.03 ( 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) % 169.26/169.03 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_o__apply,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_o__assoc,axiom, % 169.26/169.03 ! [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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_someI,axiom, % 169.26/169.03 ! [T_b,V_x_2,V_Pa_2] : % 169.26/169.03 ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.03 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_tfl__some,axiom, % 169.26/169.03 ! [T_b,B_P] : % 169.26/169.03 ( ? [B_x] : hBOOL(hAPP(B_P,B_x)) % 169.26/169.03 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_comp__cong,axiom, % 169.26/169.03 ! [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] : % 169.26/169.03 ( 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)) % 169.26/169.03 => 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) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_fun__upd__comp,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_apsnd__compose,axiom, % 169.26/169.03 ! [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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_o__eq__dest__lhs,axiom, % 169.26/169.03 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] : % 169.26/169.03 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2 % 169.26/169.03 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_K__record__comp,axiom, % 169.26/169.03 ! [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 ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair_Ocomp,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair__compose,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_map__pair_Ocompositionality,axiom, % 169.26/169.03 ! [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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_image__compose,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_inj__on__imageI2,axiom, % 169.26/169.03 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] : % 169.26/169.03 ( 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) % 169.26/169.03 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_comp__inj__on__iff,axiom, % 169.26/169.03 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.03 => ( 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)) % 169.26/169.03 <=> 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) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_comp__inj__on,axiom, % 169.26/169.03 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_inj__on__imageI,axiom, % 169.26/169.03 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] : % 169.26/169.03 ( 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) % 169.26/169.03 => 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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_inj__comp,axiom, % 169.26/169.03 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.03 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) % 169.26/169.03 => 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))) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum__reindex,axiom, % 169.26/169.03 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__add(T_d) % 169.26/169.03 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 169.26/169.03 => 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) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setprod__reindex__cong,axiom, % 169.26/169.03 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__mult(T_d) % 169.26/169.03 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.03 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 169.26/169.03 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2) % 169.26/169.03 => 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) ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setprod__reindex,axiom, % 169.26/169.03 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__mult(T_d) % 169.26/169.03 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2) % 169.26/169.03 => 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) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_split__paired__Eps,axiom, % 169.26/169.03 ! [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)))) ). % 169.26/169.03 % 169.26/169.03 fof(fact_Eps__split__eq,axiom, % 169.26/169.03 ! [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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setsum_Oreindex,axiom, % 169.26/169.03 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__add(T_c) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 169.26/169.03 => 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) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_setprod_Oreindex,axiom, % 169.26/169.03 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] : % 169.26/169.03 ( class_Groups_Ocomm__monoid__mult(T_c) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2) % 169.26/169.03 => 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) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_the__inv__into__comp,axiom, % 169.26/169.03 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 169.26/169.03 ( 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)) % 169.26/169.03 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 169.26/169.03 => ( 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)))) % 169.26/169.03 => 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) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_folding__image_Oreindex,axiom, % 169.26/169.03 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 169.26/169.03 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2) % 169.26/169.03 => 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) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_fold__image__reindex,axiom, % 169.26/169.03 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] : % 169.26/169.03 ( class_Groups_Oab__semigroup__mult(T_d) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2) % 169.26/169.03 => 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) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_folding_Oremove,axiom, % 169.26/169.03 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.03 => 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)) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_folding_Ounion,axiom, % 169.26/169.03 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.26/169.03 => ( 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)) % 169.26/169.03 => 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)) ) ) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_folding_Oinsert__remove,axiom, % 169.26/169.03 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.03 => 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)) ) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_folding_Ocommute__left__comp,axiom, % 169.26/169.03 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.03 => 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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_folding_Ocommute__comp,axiom, % 169.26/169.03 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.03 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.03 => 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)) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_folding_Ocommute__comps_I1_J,axiom, % 169.26/169.03 ! [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] : % 169.26/169.03 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2) % 169.26/169.03 => 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) ) ). % 169.26/169.03 % 169.26/169.03 fof(fact_UN__o,axiom, % 169.26/169.03 ! [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) ). % 169.26/169.03 % 169.26/169.03 fof(fact_fst__comp__map__pair,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_snd__comp__map__pair,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.03 fof(fact_split__comp,axiom, % 169.26/169.03 ! [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)) ). % 169.26/169.03 % 169.26/169.04 fof(fact_folding_Ocommute__left__comp_H_H,axiom, % 169.26/169.04 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.26/169.04 => 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)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding_Ocommute__comp_H_H,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.26/169.04 => 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)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding_Ocommute__left__comp_H,axiom, % 169.26/169.04 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding_Ocommute__comp_H,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding_Oempty,axiom, % 169.26/169.04 ! [V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding_Oinsert,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding_Ounion__inter,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.26/169.04 => 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)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_setsum__reindex__nonzero,axiom, % 169.26/169.04 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] : % 169.26/169.04 ( class_Groups_Ocomm__monoid__add(T_d) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2)) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 169.26/169.04 => ! [B_y] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2)) % 169.26/169.04 => ( B_x != B_y % 169.26/169.04 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) % 169.26/169.04 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) ) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding__idem_Ounion__idem,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.26/169.04 => 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)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding__idem_Osubset__comp__idem,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding__idem_Oidem__left__comp,axiom, % 169.26/169.04 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding__idem_Oidem__comp,axiom, % 169.26/169.04 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding__idem_Oin__comp__idem,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding__idem_Oinsert__idem,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_strong__setprod__reindex__cong,axiom, % 169.26/169.04 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 169.26/169.04 ( class_Groups_Ocomm__monoid__mult(T_d) % 169.26/169.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.04 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => 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) ) % 169.26/169.04 => 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) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_nat__mod__eq__lemma,axiom, % 169.26/169.04 ! [V_y,V_n,V_x] : % 169.26/169.04 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x)) % 169.26/169.04 => ? [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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_wfI__pf,axiom, % 169.26/169.04 ! [V_R_2,T_b] : % 169.26/169.04 ( ! [B_A] : % 169.26/169.04 ( 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))) % 169.26/169.04 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) % 169.26/169.04 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sigma__mono,axiom, % 169.26/169.04 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => 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))) ) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_not__acc__down,axiom, % 169.26/169.04 ! [V_R_2,V_x_2,T_b] : % 169.26/169.04 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2))) % 169.26/169.04 => ~ ! [B_z] : % 169.26/169.04 ( 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)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_acc_OaccI,axiom, % 169.26/169.04 ! [V_r_2,V_x_2,T_b] : % 169.26/169.04 ( ! [B_y] : % 169.26/169.04 ( 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)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) ) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_max__ext_Osimps,axiom, % 169.26/169.04 ! [V_R_2,V_a2_2,V_a1_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 169.26/169.04 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 169.26/169.04 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 & ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 169.26/169.04 => ? [B_xa] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 169.26/169.04 & 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)) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_mod__induct__0,axiom, % 169.26/169.04 ! [V_i_2,V_Pa_2,V_p_2] : % 169.26/169.04 ( ! [B_i] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2)) % 169.26/169.04 => ( hBOOL(hAPP(V_Pa_2,B_i)) % 169.26/169.04 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) ) % 169.26/169.04 => ( hBOOL(hAPP(V_Pa_2,V_i_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2)) % 169.26/169.04 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fold__image__cong,axiom, % 169.26/169.04 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] : % 169.26/169.04 ( class_Groups_Oab__semigroup__mult(T_c) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Max__eqI,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ! [B_y] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) ) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Min__eqI,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ! [B_y] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) ) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_wf__no__infinite__down__chainE,axiom, % 169.26/169.04 ! [V_f_2,V_r_2,T_b] : % 169.26/169.04 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.04 => ~ ! [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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_setsum__reindex__cong,axiom, % 169.26/169.04 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] : % 169.26/169.04 ( class_Groups_Ocomm__monoid__add(T_d) % 169.26/169.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.04 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) % 169.26/169.04 => ( ! [B_a] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 169.26/169.04 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) ) % 169.26/169.04 => 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) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_scomp__unfold,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_setsum__ivl__cong,axiom, % 169.26/169.04 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] : % 169.26/169.04 ( ( class_Groups_Ocomm__monoid__add(T_c) % 169.26/169.04 & class_Orderings_Oord(T_b) ) % 169.26/169.04 => ( V_a_2 = V_c_2 % 169.26/169.04 => ( V_b_2 = V_d_2 % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2)) % 169.26/169.04 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) % 169.26/169.04 => 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)) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Pair__scomp,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_scomp__Pair,axiom, % 169.26/169.04 ! [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 ). % 169.26/169.04 % 169.26/169.04 fof(fact_scomp__scomp,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_scomp__apply,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_scomp__def,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_iterate_Osimps,axiom, % 169.26/169.04 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 169.26/169.04 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.26/169.04 => 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) ) % 169.26/169.04 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_less__eq,axiom, % 169.26/169.04 ! [V_na_2,V_m_2] : % 169.26/169.04 ( 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))) % 169.26/169.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_nat__intermed__int__val,axiom, % 169.26/169.04 ! [V_k_2,V_f_2,V_na_2,V_m_2] : % 169.26/169.04 ( ! [B_i] : % 169.26/169.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 169.26/169.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) ) % 169.26/169.04 => 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))) ) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_na_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_na_2))) % 169.26/169.04 => ? [B_i] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i)) % 169.26/169.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_na_2)) % 169.26/169.04 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_wf__trancl,axiom, % 169.26/169.04 ! [V_r_2,T_b] : % 169.26/169.04 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.04 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_less__than__def,axiom, % 169.26/169.04 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ). % 169.26/169.04 % 169.26/169.04 fof(fact_acyclic__def,axiom, % 169.26/169.04 ! [V_r_2,T_b] : % 169.26/169.04 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 169.26/169.04 <=> ! [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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl_Or__into__trancl,axiom, % 169.26/169.04 ! [V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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)) % 169.26/169.04 => hBOOL(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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__subset__Field2,axiom, % 169.26/169.04 ! [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))))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__Int__subset,axiom, % 169.26/169.04 ! [V_s_2,V_r_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ( 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)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_r__into__trancl_H,axiom, % 169.26/169.04 ! [V_r_2,V_p_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__empty,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__domain,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__range,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_finite__trancl,axiom, % 169.26/169.04 ! [V_r_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 169.26/169.04 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_r__r__into__trancl,axiom, % 169.26/169.04 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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)) % 169.26/169.04 => ( 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)) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__into__trancl2,axiom, % 169.26/169.04 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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)) % 169.26/169.04 => ( 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))) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom, % 169.26/169.04 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( 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)) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__trans,axiom, % 169.26/169.04 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( 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))) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__mono,axiom, % 169.26/169.04 ! [V_s_2,V_r_2,V_p_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) % 169.26/169.04 => ( 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)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__unfold,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__subset__Sigma,axiom, % 169.26/169.04 ! [V_A_2,V_r_2,T_b] : % 169.26/169.04 ( 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)))) % 169.26/169.04 => 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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_log_Osimps,axiom, % 169.26/169.04 ! [V_i,V_b] : % 169.26/169.04 ( ( ( 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))) % 169.26/169.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 169.26/169.04 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 169.26/169.04 & ( ~ ( 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))) % 169.26/169.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) ) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_minus__shift__def,axiom, % 169.26/169.04 ! [V_r,V_l,V_k] : % 169.26/169.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 169.26/169.04 => 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) ) % 169.26/169.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_inc__shift__def,axiom, % 169.26/169.04 ! [V_k,V_v] : % 169.26/169.04 ( ( V_v = V_k % 169.26/169.04 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) ) % 169.26/169.04 & ( V_v != V_k % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_range,axiom, % 169.26/169.04 ! [V_s,V_k] : % 169.26/169.04 ( 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)) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__insert,axiom, % 169.26/169.04 ! [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)))))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_reflcl__set__eq,axiom, % 169.26/169.04 ! [V_y_2,V_x_2,V_r_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 <=> hBOOL(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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_r__into__rtrancl,axiom, % 169.26/169.04 ! [V_r_2,V_p_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl_Ortrancl__refl,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_IdI,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__into__rtrancl,axiom, % 169.26/169.04 ! [V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => hBOOL(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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__Int__subset,axiom, % 169.26/169.04 ! [V_r_2,V_s_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ( 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)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Image__closed__trancl,axiom, % 169.26/169.04 ! [V_X_2,V_r_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__mono,axiom, % 169.26/169.04 ! [V_s_2,V_r_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__subset,axiom, % 169.26/169.04 ! [V_S_2,V_R_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ( 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))) % 169.26/169.04 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__subset__rtrancl,axiom, % 169.26/169.04 ! [V_s_2,V_r_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Id__O__R,axiom, % 169.26/169.04 ! [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 ). % 169.26/169.04 % 169.26/169.04 fof(fact_R__O__Id,axiom, % 169.26/169.04 ! [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 ). % 169.26/169.04 % 169.26/169.04 fof(fact_Image__Id,axiom, % 169.26/169.04 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__trans,axiom, % 169.26/169.04 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( 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))) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom, % 169.26/169.04 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( 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)) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__rtrancl__into__rtrancl,axiom, % 169.26/169.04 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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)) % 169.26/169.04 => ( 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))) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__idemp,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__r__diff__Id,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__reflcl__absorb,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__Un__rtrancl,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__reflcl,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_r__comp__rtrancl__eq,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__idemp__self__comp,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__unfold,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__empty,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__reflcl,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_reflcl__trancl,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__rtrancl__absorb,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__trancl__absorb,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_in__rtrancl__UnI,axiom, % 169.26/169.04 ! [V_S_2,V_R_2,V_x_2,T_b] : % 169.26/169.04 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 169.26/169.04 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) ) % 169.26/169.04 => 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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Domain__rtrancl,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Range__rtrancl,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_refl__rtrancl,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__unfold__left,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__unfold__right,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__Un__subset,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_pair__in__Id__conv,axiom, % 169.26/169.04 ! [V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 <=> V_a_2 = V_b_2 ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__trancl__trancl,axiom, % 169.26/169.04 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( 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))) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__rtrancl__trancl,axiom, % 169.26/169.04 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( 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))) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__into__trancl1,axiom, % 169.26/169.04 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( 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)) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtranclD,axiom, % 169.26/169.04 ! [V_R_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( V_a_2 = V_b_2 % 169.26/169.04 | ( V_a_2 != V_b_2 % 169.26/169.04 & hBOOL(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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__into__trancl2,axiom, % 169.26/169.04 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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)) % 169.26/169.04 => ( 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))) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__eq__or__trancl,axiom, % 169.26/169.04 ! [V_R_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 <=> ( V_x_2 = V_y_2 % 169.26/169.04 | ( V_x_2 != V_y_2 % 169.26/169.04 & hBOOL(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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Domain__Id,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Range__Id,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_refl__Id,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_pair__leq__def,axiom, % 169.26/169.04 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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Not__Domain__rtrancl,axiom, % 169.26/169.04 ! [V_y_2,V_R_2,V_x_2,T_b] : % 169.26/169.04 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2))) % 169.26/169.04 => ( hBOOL(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))) % 169.26/169.04 <=> V_x_2 = V_y_2 ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_acc__downwards,axiom, % 169.26/169.04 ! [V_b_2,V_r_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 169.26/169.04 => ( 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))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_acc__downwards__aux,axiom, % 169.26/169.04 ! [V_r_2,V_a_2,V_b_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_wf__insert,axiom, % 169.26/169.04 ! [V_r_2,V_x_2,V_y_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 <=> ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.04 & ~ hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_acyclic__insert,axiom, % 169.26/169.04 ! [V_r_2,V_x_2,V_y_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 169.26/169.04 & ~ hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_refl__reflcl,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Id__def,axiom, % 169.26/169.04 ! [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))))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_irrefl__diff__Id,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_pred__nat__trancl__eq__le,axiom, % 169.26/169.04 ! [V_na_2,V_m_2] : % 169.26/169.04 ( 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))) % 169.26/169.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__subset__Sigma__aux,axiom, % 169.26/169.04 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( 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)))) % 169.26/169.04 => ( V_a_2 = V_b_2 % 169.26/169.04 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_irrefl__tranclI,axiom, % 169.26/169.04 ! [V_x_2,V_r_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ~ hBOOL(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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_sequence__trans,axiom, % 169.26/169.04 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] : % 169.26/169.04 ( ! [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))) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_total__on__diff__Id,axiom, % 169.26/169.04 ! [V_r_2,V_A_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__Id,axiom, % 169.26/169.04 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__converse,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__converse,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_acyclic__converse,axiom, % 169.26/169.04 ! [V_r_2,T_b] : % 169.26/169.04 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 169.26/169.04 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_refl__on__converse,axiom, % 169.26/169.04 ! [V_r_2,V_A_2,T_b] : % 169.26/169.04 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 169.26/169.04 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_finite__converse,axiom, % 169.26/169.04 ! [V_r_2,T_c,T_b] : % 169.26/169.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))) % 169.26/169.04 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__Id__on,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Field__converse,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_total__on__converse,axiom, % 169.26/169.04 ! [V_r_2,V_A_2,T_b] : % 169.26/169.04 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 169.26/169.04 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__converse,axiom, % 169.26/169.04 ! [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 ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__inv__image,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__Int,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__Un,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__rel__comp,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__UNION,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__iff,axiom, % 169.26/169.04 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 <=> 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converseI,axiom, % 169.26/169.04 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converseD,axiom, % 169.26/169.04 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_wf__converse__trancl,axiom, % 169.26/169.04 ! [V_r_2,T_b] : % 169.26/169.04 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 169.26/169.04 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_equiv__comp__eq,axiom, % 169.26/169.04 ! [V_r_2,V_A_2,T_b] : % 169.26/169.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.26/169.04 => 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 ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Range__converse,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Domain__converse,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Range__def,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_total__on__empty,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__converseI,axiom, % 169.26/169.04 ! [V_r_2,V_x_2,V_y_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => hBOOL(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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__converseD,axiom, % 169.26/169.04 ! [V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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)))) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__converseD,axiom, % 169.26/169.04 ! [V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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)))) % 169.26/169.04 => hBOOL(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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__converseI,axiom, % 169.26/169.04 ! [V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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)))) % 169.26/169.04 => hBOOL(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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Image__subset__eq,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 <=> 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))))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_refl__on__comp__subset,axiom, % 169.26/169.04 ! [V_r_2,V_A_2,T_b] : % 169.26/169.04 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_comp__equivI,axiom, % 169.26/169.04 ! [V_A_2,V_r_2,T_b] : % 169.26/169.04 ( 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 % 169.26/169.04 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2 % 169.26/169.04 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_finite__acyclic__wf__converse,axiom, % 169.26/169.04 ! [V_r_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) % 169.26/169.04 => ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 169.26/169.04 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_total__on__def,axiom, % 169.26/169.04 ! [V_r_2,V_A_2,T_b] : % 169.26/169.04 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => ! [B_xa] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2)) % 169.26/169.04 => ( B_x != B_xa % 169.26/169.04 => ( 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)) % 169.26/169.04 | 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)) ) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__def,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__imp__UN__rel__pow,axiom, % 169.26/169.04 ! [V_R_2,V_p_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 169.26/169.04 => 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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_acyclicI,axiom, % 169.26/169.04 ! [V_r_2,T_b] : % 169.26/169.04 ( ! [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))) % 169.26/169.04 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Image__Int__eq,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : % 169.26/169.04 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2)) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_single__valued__subset,axiom, % 169.26/169.04 ! [V_s_2,V_r_2,T_c,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2) % 169.26/169.04 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_comp__funpow,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_wf__exp,axiom, % 169.26/169.04 ! [V_R_2,V_na_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => c_Wellfounded_Owf(T_b,V_R_2) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_funpow__mult,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_funpow__swap1,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__1,axiom, % 169.26/169.04 ! [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 ). % 169.26/169.04 % 169.26/169.04 fof(fact_single__valued__rel__pow,axiom, % 169.26/169.04 ! [V_na_2,V_R_2,T_b] : % 169.26/169.04 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__commute,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_single__valued__rel__comp,axiom, % 169.26/169.04 ! [V_s_2,T_d,V_r_2,T_c,T_b] : % 169.26/169.04 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 169.26/169.04 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_single__valued__Id,axiom, % 169.26/169.04 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__imp__rtrancl,axiom, % 169.26/169.04 ! [V_R_2,V_na_2,V_p_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__power,axiom, % 169.26/169.04 ! [V_R_2,V_p_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) % 169.26/169.04 <=> ? [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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_single__valued__Id__on,axiom, % 169.26/169.04 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_relpow_Osimps_I2_J,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__add,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_relpow_Osimps_I1_J,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__0__I,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__0__E,axiom, % 169.26/169.04 ! [V_R_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => V_x_2 = V_y_2 ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__Suc__I,axiom, % 169.26/169.04 ! [V_z_2,V_R_2,V_na_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( 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)) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__Suc__I2,axiom, % 169.26/169.04 ! [V_na_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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)) % 169.26/169.04 => ( 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))) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_funpow_Osimps_I2_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_funpow__add,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_single__valuedD,axiom, % 169.26/169.04 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] : % 169.26/169.04 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 169.26/169.04 => ( 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)) % 169.26/169.04 => ( 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)) % 169.26/169.04 => V_y_2 = V_z_2 ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_single__valued__def,axiom, % 169.26/169.04 ! [V_r_2,T_c,T_b] : % 169.26/169.04 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2) % 169.26/169.04 <=> ! [B_x,B_y] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ! [B_z] : % 169.26/169.04 ( 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)) % 169.26/169.04 => B_y = B_z ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_funpow_Osimps_I1_J,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_trancl__power,axiom, % 169.26/169.04 ! [V_R_2,V_p_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2))) % 169.26/169.04 <=> ? [B_n] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)) % 169.26/169.04 & 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__is__UN__rel__pow,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_single__valued__confluent,axiom, % 169.26/169.04 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 169.26/169.04 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2) % 169.26/169.04 => ( hBOOL(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))) % 169.26/169.04 => ( hBOOL(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))) % 169.26/169.04 => ( 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))) % 169.26/169.04 | 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))) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_funpow__code__def,axiom, % 169.26/169.04 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__E,axiom, % 169.26/169.04 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.04 => V_x_2 != V_z_2 ) % 169.26/169.04 => ~ ! [B_y,B_m] : % 169.26/169.04 ( V_na_2 = hAPP(c_Nat_OSuc,B_m) % 169.26/169.04 => ( 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))) % 169.26/169.04 => ~ 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)) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__E2,axiom, % 169.26/169.04 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.04 => V_x_2 != V_z_2 ) % 169.26/169.04 => ~ ! [B_y,B_m] : % 169.26/169.04 ( V_na_2 = hAPP(c_Nat_OSuc,B_m) % 169.26/169.04 => ( 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)) % 169.26/169.04 => ~ 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))) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__Un__separatorE,axiom, % 169.26/169.04 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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)))) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ! [B_y] : % 169.26/169.04 ( 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)) % 169.26/169.04 => B_x = B_y ) ) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__Un__separator__converseE,axiom, % 169.26/169.04 ! [V_Q_2,V_Pa_2,V_b_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(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)))) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ! [B_y] : % 169.26/169.04 ( 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)) % 169.26/169.04 => B_y = B_x ) ) % 169.26/169.04 => hBOOL(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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__Suc__E,axiom, % 169.26/169.04 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ~ ! [B_y] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ~ 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__Suc__D2,axiom, % 169.26/169.04 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ? [B_y] : % 169.26/169.04 ( 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)) % 169.26/169.04 & 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__pow__Suc__E2,axiom, % 169.26/169.04 ! [V_R_2,V_na_2,V_z_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ~ ! [B_y] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ~ 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_tranclD,axiom, % 169.26/169.04 ! [V_R_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ? [B_z] : % 169.26/169.04 ( 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)) % 169.26/169.04 & 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_tranclD2,axiom, % 169.26/169.04 ! [V_R_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ? [B_z] : % 169.26/169.04 ( 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))) % 169.26/169.04 & 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_IdE,axiom, % 169.26/169.04 ! [V_p_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b))) % 169.26/169.04 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fold__empty,axiom, % 169.26/169.04 ! [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 ). % 169.26/169.04 % 169.26/169.04 fof(fact_fold__image__def,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding_Oeq__fold,axiom, % 169.26/169.04 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fold__def,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_union__fold__insert,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fold__sup__insert,axiom, % 169.26/169.04 ! [V_a_2,V_b_2,V_A_2,T_b] : % 169.26/169.04 ( class_Lattices_Osemilattice__sup(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fold__inf__insert,axiom, % 169.26/169.04 ! [V_a_2,V_b_2,V_A_2,T_b] : % 169.26/169.04 ( class_Lattices_Osemilattice__inf(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_min__max_Ofold__inf__insert,axiom, % 169.26/169.04 ! [V_a_2,V_b_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_min__max_Ofold__sup__insert,axiom, % 169.26/169.04 ! [V_a_2,V_b_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom, % 169.26/169.04 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom, % 169.26/169.04 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_sup__SUPR__fold__sup,axiom, % 169.26/169.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom, % 169.26/169.04 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_sup__le__fold__sup,axiom, % 169.26/169.04 ! [V_b_2,V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Lattices_Osemilattice__sup(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.04 => 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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fold__inf__le__inf,axiom, % 169.26/169.04 ! [V_b_2,V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Lattices_Osemilattice__inf(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.04 => 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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_min__max_Ofold__inf__le__inf,axiom, % 169.26/169.04 ! [V_b_2,V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.04 => 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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_min__max_Osup__le__fold__sup,axiom, % 169.26/169.04 ! [V_b_2,V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.04 => 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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fold1__eq__fold__idem,axiom, % 169.26/169.04 ! [V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom, % 169.26/169.04 ! [V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Lattices_Olattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom, % 169.26/169.04 ! [V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Lattices_Olattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Min_Oeq__fold__idem_H,axiom, % 169.26/169.04 ! [V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Max_Oeq__fold__idem_H,axiom, % 169.26/169.04 ! [V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom, % 169.26/169.04 ! [V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom, % 169.26/169.04 ! [V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_minus__fold__remove,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_folding__one_Oeq__fold_H,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_SUPR__fold__sup,axiom, % 169.26/169.04 ! [V_f_2,V_A_2,T_b,T_c] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fold1__eq__fold,axiom, % 169.26/169.04 ! [V_a_2,V_A_2,T_b] : % 169.26/169.04 ( class_Groups_Oab__semigroup__mult(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__fin_Oeq__fold_H,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,T_b] : % 169.26/169.04 ( class_Lattices_Olattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__fin_Oeq__fold_H,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,T_b] : % 169.26/169.04 ( class_Lattices_Olattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Min_Oeq__fold_H,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Max_Oeq__fold_H,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom, % 169.26/169.04 ! [V_x_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofold__rec,axiom, % 169.26/169.04 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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)))))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofold__insert__remove,axiom, % 169.26/169.04 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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)))))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INFI__fold__inf,axiom, % 169.26/169.04 ! [V_f_2,V_A_2,T_b,T_c] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__D,axiom, % 169.26/169.04 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__E,axiom, % 169.26/169.04 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) % 169.26/169.04 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF1__D,axiom, % 169.26/169.04 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF1__E,axiom, % 169.26/169.04 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) % 169.26/169.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF2__D,axiom, % 169.26/169.04 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF2__E,axiom, % 169.26/169.04 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) % 169.26/169.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_finite__INT,axiom, % 169.26/169.04 ! [V_A_2,T_c,V_I_2,T_b] : % 169.26/169.04 ( ? [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 169.26/169.04 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__constant,axiom, % 169.26/169.04 ! [V_c_2,T_c,T_b,V_A_2] : % 169.26/169.04 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) % 169.26/169.04 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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 ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__empty,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__extend__simps_I9_J,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__simps_I9_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_le__INF__iff,axiom, % 169.26/169.04 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => ( 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))) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF__less__iff,axiom, % 169.26/169.04 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] : % 169.26/169.04 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 & class_Orderings_Olinorder(T_b) ) % 169.26/169.04 => ( 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)) % 169.26/169.04 <=> ? [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.26/169.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__insert__distrib,axiom, % 169.26/169.04 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2)) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__iff,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF__INT__eq2,axiom, % 169.26/169.04 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 <=> 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INTER__UNIV__conv_I1_J,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_c,T_b] : % 169.26/169.04 ( 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) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.26/169.04 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INTER__UNIV__conv_I2_J,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_b,T_c] : % 169.26/169.04 ( 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)) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.26/169.04 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom, % 169.26/169.04 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofun__left__comm,axiom, % 169.26/169.04 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__Int__distrib,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF__commute,axiom, % 169.26/169.04 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INFI__apply,axiom, % 169.26/169.04 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Pow__INT__eq,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm,axiom, % 169.26/169.04 ! [T_b] : % 169.26/169.04 ( class_Groups_Oab__semigroup__mult(T_b) % 169.26/169.04 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__extend__simps_I10_J,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__simps_I10_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__simps_I5_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__extend__simps_I5_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INFI__bool__eq,axiom, % 169.26/169.04 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ). % 169.26/169.04 % 169.26/169.04 fof(fact_vimage__INT,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofun__comp__comm,axiom, % 169.26/169.04 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__subset__iff,axiom, % 169.26/169.04 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2)) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofold__graph__determ,axiom, % 169.26/169.04 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2)) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 169.26/169.04 => V_y_2 = V_x_2 ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__simps_I7_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__simps_I6_J,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__extend__simps_I7_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Un__INT__distrib,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__extend__simps_I6_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Un__INT__distrib2,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converse__INTER,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF__const,axiom, % 169.26/169.04 ! [V_M_2,T_b,V_A_2,T_c] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 169.26/169.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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 ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__absorb,axiom, % 169.26/169.04 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2)) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF__INT__eq,axiom, % 169.26/169.04 ! [V_x_2,V_r_2,T_c,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 <=> 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__lower,axiom, % 169.26/169.04 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__extend__simps_I2_J,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.26/169.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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 ) % 169.26/169.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__extend__simps_I1_J,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.26/169.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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 ) % 169.26/169.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__insert,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Collect__ball__eq,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__Un,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_UN__simps_I7_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_UN__extend__simps_I7_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Image__INT__subset,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Compl__UN,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Compl__INT,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF__subset,axiom, % 169.26/169.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INTER__def,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__simps_I2_J,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.26/169.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) % 169.26/169.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__simps_I1_J,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.26/169.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) % 169.26/169.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__extend__simps_I3_J,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.26/169.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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) ) % 169.26/169.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__simps_I3_J,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.26/169.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) % 169.26/169.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__extend__simps_I4_J,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.26/169.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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 ) % 169.26/169.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofold__fun__comm,axiom, % 169.26/169.04 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF__leI,axiom, % 169.26/169.04 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofold__equality,axiom, % 169.26/169.04 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 169.26/169.04 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__greaterThan__UNIV,axiom, % 169.26/169.04 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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__simps_I4_J,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] : % 169.26/169.04 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) % 169.26/169.04 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Image__INT__eq,axiom, % 169.26/169.04 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] : % 169.26/169.04 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) % 169.26/169.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_inf__INFI__fold__inf,axiom, % 169.26/169.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_c) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofold__graph__fold,axiom, % 169.26/169.04 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofold__insert,axiom, % 169.26/169.04 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofold__insert2,axiom, % 169.26/169.04 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom, % 169.26/169.04 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.04 => ? [B_y_H] : % 169.26/169.04 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H) % 169.26/169.04 & 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)) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__fold__inf,axiom, % 169.26/169.04 ! [V_A_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__fold__sup,axiom, % 169.26/169.04 ! [V_A_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_finite__Inter,axiom, % 169.26/169.04 ! [V_M_2,T_b] : % 169.26/169.04 ( ? [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2)) % 169.26/169.04 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 169.26/169.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_UnionI,axiom, % 169.26/169.04 ! [V_A_2,V_C_2,V_X_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_InterD,axiom, % 169.26/169.04 ! [V_X_2,V_C_2,V_A_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_InterE,axiom, % 169.26/169.04 ! [V_X_2,V_C_2,V_A_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF2__iff,axiom, % 169.26/169.04 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INF1__iff,axiom, % 169.26/169.04 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__extend__simps_I8_J,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INT__simps_I8_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_INTER__eq__Inter__image,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inter__image__eq,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Un__Inter,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__disjoint,axiom, % 169.26/169.04 ! [V_A_2,V_C_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__upper,axiom, % 169.26/169.04 ! [V_A_2,V_B_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_less__Sup__iff,axiom, % 169.26/169.04 ! [V_S_2,V_a_2,T_b] : % 169.26/169.04 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 & class_Orderings_Olinorder(T_b) ) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2))) % 169.26/169.04 <=> ? [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 169.26/169.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__less__iff,axiom, % 169.26/169.04 ! [V_a_2,V_S_2,T_b] : % 169.26/169.04 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 & class_Orderings_Olinorder(T_b) ) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2)) % 169.26/169.04 <=> ? [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 169.26/169.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_le__Inf__iff,axiom, % 169.26/169.04 ! [V_A_2,V_b_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => ( 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))) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__le__iff,axiom, % 169.26/169.04 ! [V_b_2,V_A_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => ( 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)) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Field__Union,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__Pow__eq,axiom, % 169.26/169.04 ! [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 ). % 169.26/169.04 % 169.26/169.04 fof(fact_image__Union,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sigma__Union,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_UN__simps_I8_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_UN__extend__simps_I8_J,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Int__Union,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Int__Union2,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Range__Union,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Domain__Union,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_vimage__Union,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__Sup,axiom, % 169.26/169.04 ! [V_A_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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))))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__Inf,axiom, % 169.26/169.04 ! [V_A_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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)))))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inter__lower,axiom, % 169.26/169.04 ! [V_A_2,V_B_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__empty,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__mono,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__quotient,axiom, % 169.26/169.04 ! [V_r_2,V_A_2,T_b] : % 169.26/169.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.26/169.04 => 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 ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__insert,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_finite__UnionD,axiom, % 169.26/169.04 ! [V_A_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) % 169.26/169.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_subset__Pow__Union,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inter__anti__mono,axiom, % 169.26/169.04 ! [V_A_2,V_B_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inter__empty,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inter__eq,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__UNIV,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__Un__distrib,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inter__insert,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__image__eq,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_UNION__eq__Union__image,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__upper,axiom, % 169.26/169.04 ! [V_A_2,V_x_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inter__UNIV,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__lower,axiom, % 169.26/169.04 ! [V_A_2,V_x_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__empty,axiom, % 169.26/169.04 ! [T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inter__Un__distrib,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__singleton,axiom, % 169.26/169.04 ! [V_a_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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 ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__insert,axiom, % 169.26/169.04 ! [V_A_2,V_a_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Int__Inter__image,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__singleton,axiom, % 169.26/169.04 ! [V_a_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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 ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__UNIV,axiom, % 169.26/169.04 ! [T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__empty,axiom, % 169.26/169.04 ! [T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__UNIV,axiom, % 169.26/169.04 ! [T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__insert,axiom, % 169.26/169.04 ! [V_A_2,V_a_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Un__eq__Union,axiom, % 169.26/169.04 ! [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))))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Un__Union__image,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__Int__subset,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Int__eq__Inter,axiom, % 169.26/169.04 ! [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))))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inter__Un__subset,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__binary,axiom, % 169.26/169.04 ! [V_b_2,V_a_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__binary,axiom, % 169.26/169.04 ! [V_b_2,V_a_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_sup__Sup__fold__sup,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Sup__fin__Sup,axiom, % 169.26/169.04 ! [V_A_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_inf__Inf__fold__inf,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inf__fin__Inf,axiom, % 169.26/169.04 ! [V_A_2,T_b] : % 169.26/169.04 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_image__INT,axiom, % 169.26/169.04 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2)) % 169.26/169.04 => 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)) ) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2)) % 169.26/169.04 => 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)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_card__partition,axiom, % 169.26/169.04 ! [V_k_2,V_C_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) % 169.26/169.04 => ( ! [B_c] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2)) % 169.26/169.04 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 ) % 169.26/169.04 => ( ! [B_c1] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2)) % 169.26/169.04 => ! [B_c2] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2)) % 169.26/169.04 => ( B_c1 != B_c2 % 169.26/169.04 => 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)) ) ) ) % 169.26/169.04 => 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)) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inter__def,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Union__def,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_finite__Union,axiom, % 169.26/169.04 ! [V_A_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) % 169.26/169.04 => ( ! [B_M] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) ) % 169.26/169.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_insert__partition,axiom, % 169.26/169.04 ! [V_F_2,V_x_2,T_b] : % 169.26/169.04 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ! [B_xa] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ( B_x != B_xa % 169.26/169.04 => 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)) ) ) ) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_inj__on__Inter,axiom, % 169.26/169.04 ! [V_f_2,T_c,T_b,V_S_2] : % 169.26/169.04 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 169.26/169.04 => ( ! [B_A] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2)) % 169.26/169.04 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) ) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Inter__subset,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_b] : % 169.26/169.04 ( ! [B_X] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) ) % 169.26/169.04 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_inj__on__INTER,axiom, % 169.26/169.04 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] : % 169.26/169.04 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.04 => ( ! [B_i] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2)) % 169.26/169.04 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) ) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom, % 169.26/169.04 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] : % 169.26/169.04 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.04 => ( 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)) % 169.26/169.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 => ~ ! [B_y] : % 169.26/169.04 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y) % 169.26/169.04 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_min__max_Ofold__sup__le__sup,axiom, % 169.26/169.04 ! [V_c_2,V_b_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 169.26/169.04 => 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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_min__max_Oinf__le__fold__inf,axiom, % 169.26/169.04 ! [V_c_2,V_b_2,V_A_2,T_b] : % 169.26/169.04 ( class_Orderings_Olinorder(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 169.26/169.04 => 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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_InterI,axiom, % 169.26/169.04 ! [V_A_2,V_C_2,T_b] : % 169.26/169.04 ( ! [B_X] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) ) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_inf__le__fold__inf,axiom, % 169.26/169.04 ! [V_c_2,V_b_2,V_A_2,T_b] : % 169.26/169.04 ( class_Lattices_Osemilattice__inf(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) % 169.26/169.04 => 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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_fold__sup__le__sup,axiom, % 169.26/169.04 ! [V_c_2,V_b_2,V_A_2,T_b] : % 169.26/169.04 ( class_Lattices_Osemilattice__sup(T_b) % 169.26/169.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) % 169.26/169.04 => 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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_mod__div__decomp,axiom, % 169.26/169.04 ! [V_b,V_a,T_a] : % 169.26/169.04 ( class_Divides_Osemiring__div(T_a) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_wf__eq__minimal,axiom, % 169.26/169.04 ! [V_r_2,T_b] : % 169.26/169.04 ( c_Wellfounded_Owf(T_b,V_r_2) % 169.26/169.04 <=> ! [B_Q] : % 169.26/169.04 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 169.26/169.04 => ? [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q)) % 169.26/169.04 & ! [B_y] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_transfer__nat__int__set__cong,axiom, % 169.26/169.04 ! [V_P_H_2,V_Pa_2] : % 169.26/169.04 ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) % 169.26/169.04 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 169.26/169.04 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) ) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Int__Collect__mono,axiom, % 169.26/169.04 ! [V_Q_2,V_Pa_2,V_B_2,V_A_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => ( hBOOL(hAPP(V_Pa_2,B_x)) % 169.26/169.04 => hBOOL(hAPP(V_Q_2,B_x)) ) ) % 169.26/169.04 => 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)))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_UnionE,axiom, % 169.26/169.04 ! [V_C_2,V_A_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ~ ! [B_X] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) % 169.26/169.04 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_converseE,axiom, % 169.26/169.04 ! [V_r_2,V_yx_2,T_c,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ~ ! [B_x,B_y] : % 169.26/169.04 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x) % 169.26/169.04 => ~ 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rel__compE,axiom, % 169.26/169.04 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 => ~ ! [B_x,B_y,B_z] : % 169.26/169.04 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z) % 169.26/169.04 => ( 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)) % 169.26/169.04 => ~ 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)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Nitpick_Oplus__frac__def,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_setprod__pos,axiom, % 169.26/169.04 ! [V_f_2,V_A_2,T_b,T_c] : % 169.26/169.04 ( class_Rings_Olinordered__semidom(T_c) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Nitpick_Otimes__frac__def,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Nitpick_Oof__frac__def,axiom, % 169.26/169.04 ! [V_q,T_a,T_b] : % 169.26/169.04 ( ( class_Rings_Oinverse(T_b) % 169.26/169.04 & class_Rings_Oring__1(T_b) ) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Nitpick_Oinverse__frac__def,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Nitpick_Ouminus__frac__def,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Nitpick_Oless__frac__def,axiom, % 169.26/169.04 ! [V_r_2,V_q_2,T_b] : % 169.26/169.04 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2) % 169.26/169.04 <=> 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Nitpick_Oless__eq__frac__def,axiom, % 169.26/169.04 ! [V_r_2,V_q_2,T_b] : % 169.26/169.04 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2) % 169.26/169.04 <=> 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Nitpick_Odenom__def,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Nitpick_Onum__def,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_internal__split__def,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_setprod__nonneg,axiom, % 169.26/169.04 ! [V_f_2,V_A_2,T_b,T_c] : % 169.26/169.04 ( class_Rings_Olinordered__semidom(T_c) % 169.26/169.04 => ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) ) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_internal__split__conv,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_bool_Osize_I2_J,axiom, % 169.26/169.04 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 169.26/169.04 % 169.26/169.04 fof(fact_bool_Osize_I1_J,axiom, % 169.26/169.04 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 169.26/169.04 % 169.26/169.04 fof(fact_finite__less__ub,axiom, % 169.26/169.04 ! [V_u_2,V_f_2] : % 169.26/169.04 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n))) % 169.26/169.04 => 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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lenlex__def,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_neq__if__length__neq,axiom, % 169.26/169.04 ! [V_ys,V_xs,T_a] : % 169.26/169.04 ( 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) % 169.26/169.04 => V_xs != V_ys ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lexn__length,axiom, % 169.26/169.04 ! [V_na_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_na_2 % 169.26/169.04 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lenlex__conv,axiom, % 169.26/169.04 ! [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)))))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_length__sublist,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lexn_Osimps_I2_J,axiom, % 169.26/169.04 ! [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)))))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_impossible__Cons,axiom, % 169.26/169.04 ! [V_x,V_ys,V_xs,T_a] : % 169.26/169.04 ( 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))) % 169.26/169.04 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_list_Oinject,axiom, % 169.26/169.04 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] : % 169.26/169.04 ( 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) % 169.26/169.04 <=> ( V_a_2 = V_a_H_2 % 169.26/169.04 & V_list_2 = V_list_H_2 ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_not__Cons__self2,axiom, % 169.26/169.04 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ). % 169.26/169.04 % 169.26/169.04 fof(fact_not__Cons__self,axiom, % 169.26/169.04 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ). % 169.26/169.04 % 169.26/169.04 fof(fact_list_Osize_I4_J,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Cons__in__lex,axiom, % 169.26/169.04 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 <=> ( ( hBOOL(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)) % 169.26/169.04 & 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) ) % 169.26/169.04 | ( V_x_2 = V_y_2 % 169.26/169.04 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_set__Cons__def,axiom, % 169.26/169.04 ! [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)))))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_pick_Osimps,axiom, % 169.26/169.04 ! [V_xs,V_x,T_a,V_i] : % 169.26/169.04 ( ( 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))) % 169.26/169.04 => 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) ) % 169.26/169.04 & ( ~ 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))) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_select__weight__cons__zero,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lexord__cons__cons,axiom, % 169.26/169.04 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 <=> ( hBOOL(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)) % 169.26/169.04 | ( V_a_2 = V_b_2 % 169.26/169.04 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lexord__lex,axiom, % 169.26/169.04 ! [V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 & 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) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__listrel1__ConsI2,axiom, % 169.26/169.04 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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))) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_list_Osize_I2_J,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Cons__acc__listrel1I,axiom, % 169.26/169.04 ! [V_xs_2,V_r_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) % 169.26/169.04 => ( 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)))) % 169.26/169.04 => 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)))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel1__converse,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel1__mono,axiom, % 169.26/169.04 ! [V_s_2,V_r_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel1I2,axiom, % 169.26/169.04 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__listrel1__ConsI1,axiom, % 169.26/169.04 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel1__eq__len,axiom, % 169.26/169.04 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__listrel1__eq__len,axiom, % 169.26/169.04 ! [V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_in__listrel1__converse,axiom, % 169.26/169.04 ! [V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 169.26/169.04 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Cons__listrel1__Cons,axiom, % 169.26/169.04 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 <=> ( ( hBOOL(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)) % 169.26/169.04 & V_xs_2 = V_ys_2 ) % 169.26/169.04 | ( V_x_2 = V_y_2 % 169.26/169.04 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel1I1,axiom, % 169.26/169.04 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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)) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__Cons,axiom, % 169.26/169.04 ! [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))))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lexord__linear,axiom, % 169.26/169.04 ! [V_y_2,V_x_2,V_r_2,T_b] : % 169.26/169.04 ( ! [B_a,B_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 | B_a = B_b % 169.26/169.04 | 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)) ) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 | V_x_2 = V_y_2 % 169.26/169.04 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__rtrancl__refl,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__mono,axiom, % 169.26/169.04 ! [V_s_2,V_r_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__subset__rtrancl__listrel1,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__eq__len,axiom, % 169.26/169.04 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__rtrancl__trans,axiom, % 169.26/169.04 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__reflcl__if__listrel1,axiom, % 169.26/169.04 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel1__subset__listrel,axiom, % 169.26/169.04 ! [V_r_H_2,V_r_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_rtrancl__listrel1__if__listrel,axiom, % 169.26/169.04 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel_OCons,axiom, % 169.26/169.04 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(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)) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrelp__listrel__eq,axiom, % 169.26/169.04 ! [V_xa_2,V_x_2,V_r_2,T_b] : % 169.26/169.04 ( 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) % 169.26/169.04 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__Cons1,axiom, % 169.26/169.04 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 => ~ ! [B_y,B_ys] : % 169.26/169.04 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys) % 169.26/169.04 => ( 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)) % 169.26/169.04 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrelp_Oequations_I2_J,axiom, % 169.26/169.04 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] : % 169.26/169.04 ( 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)) % 169.26/169.04 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) % 169.26/169.04 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrelp_OCons,axiom, % 169.26/169.04 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 169.26/169.04 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2) % 169.26/169.04 => 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)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__Cons2,axiom, % 169.26/169.04 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 => ~ ! [B_x,B_xs] : % 169.26/169.04 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 169.26/169.04 => ( 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)) % 169.26/169.04 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__subset,axiom, % 169.26/169.04 ! [V_A_2,V_r_2,T_b] : % 169.26/169.04 ( 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)))) % 169.26/169.04 => 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))))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lists__UNIV,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lists__mono,axiom, % 169.26/169.04 ! [V_B_2,V_A_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_equiv__listrel,axiom, % 169.26/169.04 ! [V_r_2,V_A_2,T_b] : % 169.26/169.04 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__refl__on,axiom, % 169.26/169.04 ! [V_r_2,V_A_2,T_b] : % 169.26/169.04 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.04 => 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)) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_Cons__in__lists__iff,axiom, % 169.26/169.04 ! [V_A_2,V_xs_2,V_x_2,T_b] : % 169.26/169.04 ( 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))) % 169.26/169.04 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.04 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lists__accD,axiom, % 169.26/169.04 ! [V_r_2,V_xs_2,T_b] : % 169.26/169.04 ( 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)))) % 169.26/169.04 => 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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lists__accI,axiom, % 169.26/169.04 ! [V_r_2,V_xs_2,T_b] : % 169.26/169.04 ( 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)))) % 169.26/169.04 => 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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_listrel__iff__nth,axiom, % 169.26/169.04 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 <=> ( 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) % 169.26/169.04 & ! [B_n] : % 169.26/169.04 ( 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))) % 169.26/169.04 => 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)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lexord__irreflexive,axiom, % 169.26/169.04 ! [V_y_2,V_r_2,T_b] : % 169.26/169.04 ( ! [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)) % 169.26/169.04 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_infinite__UNIV__listI,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_list__eq__iff__nth__eq,axiom, % 169.26/169.04 ! [T_b,V_ys_2,V_xs_2] : % 169.26/169.04 ( V_xs_2 = V_ys_2 % 169.26/169.04 <=> ( 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) % 169.26/169.04 & ! [B_i] : % 169.26/169.04 ( 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))) % 169.26/169.04 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_nth__Cons__0,axiom, % 169.26/169.04 ! [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 ). % 169.26/169.04 % 169.26/169.04 fof(fact_nth__Cons__Suc,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_nth_Osimps,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_nth__Cons_H,axiom, % 169.26/169.04 ! [V_xs,V_x,T_a,V_n] : % 169.26/169.04 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.04 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x ) % 169.26/169.04 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_nth__Cons__number__of,axiom, % 169.26/169.04 ! [V_xs,V_x,T_a,V_v] : % 169.26/169.04 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.04 => 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 ) % 169.26/169.04 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_lexord__take__index__conv,axiom, % 169.26/169.04 ! [V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.04 <=> ( ( 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))) % 169.26/169.04 & 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 ) % 169.26/169.04 | ? [B_i] : % 169.26/169.04 ( 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)))) % 169.26/169.04 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2) % 169.26/169.04 & 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)) ) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_set__sublist,axiom, % 169.26/169.04 ! [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))))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_finite__set,axiom, % 169.26/169.04 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_set__subset__Cons,axiom, % 169.26/169.04 ! [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)))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_take__all,axiom, % 169.26/169.04 ! [V_n,V_xs,T_a] : % 169.26/169.04 ( 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)) % 169.26/169.04 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_set__take__subset,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_set__take__subset__set__take,axiom, % 169.26/169.04 ! [V_xs_2,T_b,V_na_2,V_m_2] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 169.26/169.04 => 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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_set__sublist__subset,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_nth__take,axiom, % 169.26/169.04 ! [V_xs,T_a,V_n,V_i] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 169.26/169.04 => 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) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_notin__set__sublistI,axiom, % 169.26/169.04 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 169.26/169.04 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.04 => ~ 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)))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_in__set__takeD,axiom, % 169.26/169.04 ! [V_xs_2,V_na_2,V_x_2,T_b] : % 169.26/169.04 ( 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)))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_in__set__sublistD,axiom, % 169.26/169.04 ! [V_I_2,V_xs_2,V_x_2,T_b] : % 169.26/169.04 ( 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)))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_set__ConsD,axiom, % 169.26/169.04 ! [V_xs_2,V_x_2,V_y_2,T_b] : % 169.26/169.04 ( 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)))) % 169.26/169.04 => ( V_y_2 = V_x_2 % 169.26/169.04 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_take__Suc__Cons,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_length__take,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_take__take,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_List_Oset_Osimps_I2_J,axiom, % 169.26/169.04 ! [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)) ). % 169.26/169.04 % 169.26/169.04 fof(fact_sublist__upt__eq__take,axiom, % 169.26/169.04 ! [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) ). % 169.26/169.04 % 169.26/169.04 fof(fact_card__length,axiom, % 169.26/169.04 ! [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))) ). % 169.26/169.04 % 169.26/169.04 fof(fact_all__set__conv__all__nth,axiom, % 169.26/169.04 ! [V_Pa_2,V_xs_2,T_b] : % 169.26/169.04 ( ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.04 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.04 <=> ! [B_i] : % 169.26/169.04 ( 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))) % 169.26/169.04 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_list__size__estimation,axiom, % 169.26/169.04 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_list__size__estimation_H,axiom, % 169.26/169.04 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2))) % 169.26/169.04 => 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))) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_in__lists__conv__set,axiom, % 169.26/169.04 ! [V_A_2,V_xs_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 169.26/169.04 <=> ! [B_x] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.04 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_length__pos__if__in__set,axiom, % 169.26/169.04 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_nth__mem,axiom, % 169.26/169.04 ! [V_xs_2,T_b,V_na_2] : % 169.26/169.04 ( 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))) % 169.26/169.04 => 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))) ) ). % 169.26/169.04 % 169.26/169.04 fof(fact_in__set__conv__nth,axiom, % 169.26/169.04 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.04 <=> ? [B_i] : % 169.26/169.04 ( 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))) % 169.26/169.05 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lists__eq__set,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__conv__nth,axiom, % 169.26/169.05 ! [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))))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_finite__lists__length__eq,axiom, % 169.26/169.05 ! [V_na_2,V_A_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.05 => 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))))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_finite__lists__length__le,axiom, % 169.26/169.05 ! [V_na_2,V_A_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.05 => 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))))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listrel__iff__zip,axiom, % 169.26/169.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.05 <=> ( 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) % 169.26/169.05 & ! [B_x] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => 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)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__zip,axiom, % 169.26/169.05 ! [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)))))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__zip,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__zip,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__Cons__Cons,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__eq__iff__zip__eq,axiom, % 169.26/169.05 ! [T_b,V_ys_2,V_xs_2] : % 169.26/169.05 ( V_xs_2 = V_ys_2 % 169.26/169.05 <=> ( 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) % 169.26/169.05 & ! [B_x] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_in__set__zipE,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__zip__rightD,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__zip__leftD,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__same,axiom, % 169.26/169.05 ! [V_xs_2,V_b_2,V_a_2,T_b] : % 169.26/169.05 ( hBOOL(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)))) % 169.26/169.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 & V_a_2 = V_b_2 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__zip,axiom, % 169.26/169.05 ! [V_ys,T_b,V_xs,T_a,V_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( 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))) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_greaterThanLessThan__upto,axiom, % 169.26/169.05 ! [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)))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__setsum__nth,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( class_Groups_Ocomm__monoid__add(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_atLeastAtMost__upto,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__upto,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__eq__0__nat__iff__nat,axiom, % 169.26/169.05 ! [V_ns_2] : % 169.26/169.05 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 <=> ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 169.26/169.05 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_elem__le__listsum__nat,axiom, % 169.26/169.05 ! [V_ns,V_k] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__simps_I2_J,axiom, % 169.26/169.05 ! [V_xs,V_x,T_a] : % 169.26/169.05 ( class_Groups_Omonoid__add(T_a) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_atLeastLessThan__upto,axiom, % 169.26/169.05 ! [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)))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_greaterThanAtMost__upto,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nat__list__def,axiom, % 169.26/169.05 ! [V_l_2] : % 169.26/169.05 ( c_List_Onat__list(V_l_2) % 169.26/169.05 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__size__pointwise,axiom, % 169.26/169.05 ! [V_g_2,V_f_2,V_xs_2,T_b] : % 169.26/169.05 ( ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__update__nat,axiom, % 169.26/169.05 ! [V_n,V_ns,V_k] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_butlast__take,axiom, % 169.26/169.05 ! [V_xs,T_a,V_n] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__beyond,axiom, % 169.26/169.05 ! [V_x,V_i,V_xs,T_a] : % 169.26/169.05 ( 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)) % 169.26/169.05 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__id,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__list__update__neq,axiom, % 169.26/169.05 ! [V_x,V_xs,T_a,V_j,V_i] : % 169.26/169.05 ( V_i != V_j % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_butlast__list__update,axiom, % 169.26/169.05 ! [V_x,V_xs,T_a,V_k] : % 169.26/169.05 ( ( 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)) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( 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)) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__list__update,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__update,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_update__zip,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__swap,axiom, % 169.26/169.05 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] : % 169.26/169.05 ( V_i != V_i_H % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__overwrite,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update_Osimps_I2_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__code_I2_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__code_I3_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_in__set__butlastD,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__update__subsetI,axiom, % 169.26/169.05 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] : % 169.26/169.05 ( 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)) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__update__subset__insert,axiom, % 169.26/169.05 ! [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)))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__list__update,axiom, % 169.26/169.05 ! [V_x,V_j,V_xs,T_a,V_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( ( V_i = V_j % 169.26/169.05 => 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 ) % 169.26/169.05 & ( V_i != V_j % 169.26/169.05 => 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) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__same__conv,axiom, % 169.26/169.05 ! [V_x_2,V_xs_2,T_b,V_i_2] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2 % 169.26/169.05 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__list__update__eq,axiom, % 169.26/169.05 ! [V_x,V_xs,T_a,V_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__butlast,axiom, % 169.26/169.05 ! [V_xs,T_a,V_n] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__butlast,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__update__memI,axiom, % 169.26/169.05 ! [V_x_2,V_xs_2,T_b,V_na_2] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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)))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_butlast__conv__take,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listrel1__iff__update,axiom, % 169.26/169.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.05 <=> ? [B_y,B_n] : % 169.26/169.05 ( 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)) % 169.26/169.05 & 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))) % 169.26/169.05 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__list__update,axiom, % 169.26/169.05 ! [V_i_2,V_a_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => ( ~ 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)))))) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__upto,axiom, % 169.26/169.05 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__take,axiom, % 169.26/169.05 ! [V_i,V_xs,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__sublistI,axiom, % 169.26/169.05 ! [V_I_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__zipI2,axiom, % 169.26/169.05 ! [V_xs,T_b,V_ys,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__zipI1,axiom, % 169.26/169.05 ! [V_ys,T_b,V_xs,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct_Osimps_I2_J,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) % 169.26/169.05 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__card,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_card__distinct,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__conv__nth,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 <=> ! [B_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ! [B_j] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( B_i != B_j % 169.26/169.05 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__eq__iff__index__eq,axiom, % 169.26/169.05 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => ( 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))) % 169.26/169.05 => ( 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))) % 169.26/169.05 => ( 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) % 169.26/169.05 <=> V_i_2 = V_j_2 ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__listsum__conv__Setsum,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( class_Groups_Ocomm__monoid__add(T_b) % 169.26/169.05 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Nitpick_Ocard_H__def,axiom, % 169.26/169.05 ! [V_A_2,T_b] : % 169.26/169.05 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.05 => 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)))) ) % 169.26/169.05 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.05 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__take__lemma,axiom, % 169.26/169.05 ! [V_ys,V_xs,T_a,V_k] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( 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))) % 169.26/169.05 => ( ! [B_i] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k)) % 169.26/169.05 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) ) % 169.26/169.05 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__remove1__eq,axiom, % 169.26/169.05 ! [V_x_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => 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)))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__Cons__number__of,axiom, % 169.26/169.05 ! [V_xs,V_x,T_a,V_v] : % 169.26/169.05 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lists_ONil,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listrel__Nil2,axiom, % 169.26/169.05 ! [V_r_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.05 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listrel__Nil1,axiom, % 169.26/169.05 ! [V_r_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.05 => V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__butlast,axiom, % 169.26/169.05 ! [T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct_Osimps_I1_J,axiom, % 169.26/169.05 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__remove1,axiom, % 169.26/169.05 ! [V_x,V_xs,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_butlast_Osimps_I1_J,axiom, % 169.26/169.05 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 169.26/169.05 % 169.26/169.05 fof(fact_butlast_Osimps_I2_J,axiom, % 169.26/169.05 ! [V_x,T_a,V_xs] : % 169.26/169.05 ( ( V_xs = c_List_Olist_ONil(T_a) % 169.26/169.05 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) ) % 169.26/169.05 & ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remove1_Osimps_I2_J,axiom, % 169.26/169.05 ! [V_xs,T_a,V_y,V_x] : % 169.26/169.05 ( ( V_x = V_y % 169.26/169.05 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs ) % 169.26/169.05 & ( V_x != V_y % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list_Osimps_I3_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list_Osimps_I2_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upto__empty,axiom, % 169.26/169.05 ! [V_i,V_j] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i)) % 169.26/169.05 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__0,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__eq__Nil,axiom, % 169.26/169.05 ! [V_xs_2,V_na_2,T_b] : % 169.26/169.05 ( hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 169.26/169.05 <=> ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__Nil,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sublist__nil,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remove1_Osimps_I1_J,axiom, % 169.26/169.05 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remove1__commute,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listrelp_ONil,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listrelp_Oequations_I1_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip_Osimps_I1_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__Nil,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__simps_I1_J,axiom, % 169.26/169.05 ! [T_a] : % 169.26/169.05 ( class_Groups_Omonoid__add(T_a) % 169.26/169.05 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list_Osize_I3_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__0__conv,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_List_Oset_Osimps_I1_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__empty2,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__empty,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__nonempty,axiom, % 169.26/169.05 ! [V_x_2,V_k_2,V_xs_2,T_b] : % 169.26/169.05 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update_Osimps_I1_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__code_I1_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list_Osize_I1_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remove1__idem,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_notin__set__remove1,axiom, % 169.26/169.05 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => ~ 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)))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_in__set__remove1,axiom, % 169.26/169.05 ! [V_xs_2,T_b,V_b_2,V_a_2] : % 169.26/169.05 ( V_a_2 != V_b_2 % 169.26/169.05 => ( 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)))) % 169.26/169.05 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sublist__empty,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__remove1__subset,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__greater__0__conv,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__1__Cons,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_not__listrel1__Nil,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_not__Nil__listrel1,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listrel_ONil,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lexord__Nil__right,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Nil2__notin__lex,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Nil__notin__lex,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__Cons,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upto_Osimps,axiom, % 169.26/169.05 ! [V_j,V_i] : % 169.26/169.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 169.26/169.05 => 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)) ) % 169.26/169.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j)) % 169.26/169.05 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sublist__singleton,axiom, % 169.26/169.05 ! [V_x_2,T_b,V_A_2] : % 169.26/169.05 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 169.26/169.05 => 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)) ) % 169.26/169.05 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lists__empty,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__Cons_H,axiom, % 169.26/169.05 ! [V_xs,V_x,T_a,V_n] : % 169.26/169.05 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upto__rec__number__of,axiom, % 169.26/169.05 ! [V_n,V_m] : % 169.26/169.05 ( ( 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))) % 169.26/169.05 => 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))) ) % 169.26/169.05 & ( ~ 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))) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listrel__Nil,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__Cons__sing__Nil,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__remove1,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => 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)) ) % 169.26/169.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upto_Opsimps,axiom, % 169.26/169.05 ! [V_j_2,V_i_2] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 169.26/169.05 => 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)) ) % 169.26/169.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2)) % 169.26/169.05 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_select,axiom, % 169.26/169.05 ! [V_s_2,T_b,V_xs_2] : % 169.26/169.05 ( V_xs_2 != c_List_Olist_ONil(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listset_Osimps_I1_J,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__Cons1,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list_Osimps_I5_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list_Osimps_I4_J,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_listset_Osimps_I2_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__Cons,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__list__of__set__remove,axiom, % 169.26/169.05 ! [V_x_2,V_A_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upto_Opinduct,axiom, % 169.26/169.05 ! [V_Pa_2,V_a1_2,V_a0_2] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( ! [B_i,B_j] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j)) % 169.26/169.05 => 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)) ) % 169.26/169.05 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) % 169.26/169.05 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__list__of__set__empty,axiom, % 169.26/169.05 ! [T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_anamorph_Osimps,axiom, % 169.26/169.05 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] : % 169.26/169.05 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sublist__Cons,axiom, % 169.26/169.05 ! [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)))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append1__eq__conv,axiom, % 169.26/169.05 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 <=> ( V_xs_2 = V_ys_2 % 169.26/169.05 & V_x_2 = V_y_2 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Cons__eq__append__conv,axiom, % 169.26/169.05 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 169.26/169.05 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 ) % 169.26/169.05 | ? [B_ys_H] : % 169.26/169.05 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2 % 169.26/169.05 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__eq__Cons__conv,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b) % 169.26/169.05 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) % 169.26/169.05 | ? [B_ys_H] : % 169.26/169.05 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) % 169.26/169.05 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Cons__eq__appendI,axiom, % 169.26/169.05 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] : % 169.26/169.05 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys % 169.26/169.05 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs) % 169.26/169.05 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__Cons,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__in__lists__conv,axiom, % 169.26/169.05 ! [V_A_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) % 169.26/169.05 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__assoc,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__eq__append__conv2,axiom, % 169.26/169.05 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 <=> ? [B_us] : % 169.26/169.05 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us) % 169.26/169.05 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 ) % 169.26/169.05 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2 % 169.26/169.05 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_same__append__eq,axiom, % 169.26/169.05 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 <=> V_ys_2 = V_zs_2 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__same__eq,axiom, % 169.26/169.05 ! [V_zs_2,V_xs_2,V_ys_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 <=> V_ys_2 = V_zs_2 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__eq__appendI,axiom, % 169.26/169.05 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] : % 169.26/169.05 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs % 169.26/169.05 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us) % 169.26/169.05 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__append,axiom, % 169.26/169.05 ! [V_ys,V_xs,T_a] : % 169.26/169.05 ( class_Groups_Omonoid__add(T_a) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__append,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__append,axiom, % 169.26/169.05 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] : % 169.26/169.05 ( 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) % 169.26/169.05 => ( 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) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__append,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_eq__Nil__appendI,axiom, % 169.26/169.05 ! [T_a,V_ys,V_xs] : % 169.26/169.05 ( V_xs = V_ys % 169.26/169.05 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__self__conv2,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2 % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__self__conv,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2 % 169.26/169.05 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__is__Nil__conv,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b) % 169.26/169.05 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 169.26/169.05 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_self__append__conv2,axiom, % 169.26/169.05 ! [V_xs_2,T_b,V_ys_2] : % 169.26/169.05 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_self__append__conv,axiom, % 169.26/169.05 ! [V_ys_2,T_b,V_xs_2] : % 169.26/169.05 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 169.26/169.05 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__Nil2,axiom, % 169.26/169.05 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ). % 169.26/169.05 % 169.26/169.05 fof(fact_Nil__is__append__conv,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) % 169.26/169.05 <=> ( V_xs_2 = c_List_Olist_ONil(T_b) % 169.26/169.05 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__Nil,axiom, % 169.26/169.05 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ). % 169.26/169.05 % 169.26/169.05 fof(fact_butlast__append,axiom, % 169.26/169.05 ! [V_xs,T_a,V_ys] : % 169.26/169.05 ( ( V_ys = c_List_Olist_ONil(T_a) % 169.26/169.05 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) ) % 169.26/169.05 & ( V_ys != c_List_Olist_ONil(T_a) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__append__length,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__append__length__plus,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__append,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__append1,axiom, % 169.26/169.05 ! [V_x,V_ys,V_xs,T_a,V_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__length,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remove1__append,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_in__set__butlast__appendI,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2)))) % 169.26/169.05 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) ) % 169.26/169.05 => 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))))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_butlast__snoc,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__listrel1I,axiom, % 169.26/169.05 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.05 & V_us_2 = V_vs_2 ) % 169.26/169.05 | ( V_xs_2 = V_ys_2 % 169.26/169.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lexord__append__leftI,axiom, % 169.26/169.05 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__append,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 169.26/169.05 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 169.26/169.05 & 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__append,axiom, % 169.26/169.05 ! [V_ys,V_xs,T_a,V_n] : % 169.26/169.05 ( ( 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))) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( ~ 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))) % 169.26/169.05 => 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))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__update__append,axiom, % 169.26/169.05 ! [V_x,V_ys,V_xs,T_a,V_n] : % 169.26/169.05 ( ( 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))) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( ~ 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))) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sublist__append,axiom, % 169.26/169.05 ! [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)))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listrel1I,axiom, % 169.26/169.05 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.05 ( hBOOL(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)) % 169.26/169.05 => ( 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)) % 169.26/169.05 => ( 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)) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lexord__append__left__rightI,axiom, % 169.26/169.05 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] : % 169.26/169.05 ( hBOOL(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)) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__Suc__conv__app__nth,axiom, % 169.26/169.05 ! [V_xs,T_a,V_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_snoc__listrel1__snoc__iff,axiom, % 169.26/169.05 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.05 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.05 & V_x_2 = V_y_2 ) % 169.26/169.05 | ( V_xs_2 = V_ys_2 % 169.26/169.05 & hBOOL(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)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listrel1E,axiom, % 169.26/169.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.05 => ~ ! [B_x,B_y] : % 169.26/169.05 ( 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)) % 169.26/169.05 => ! [B_us,B_vs] : % 169.26/169.05 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs)) % 169.26/169.05 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lexord__append__leftD,axiom, % 169.26/169.05 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.05 => ( ! [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)) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate1__def,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upd__conv__take__nth__drop,axiom, % 169.26/169.05 ! [V_a,V_xs,T_a,V_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__take__drop__id,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__Suc__Cons,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__1__Cons,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__via__drop,axiom, % 169.26/169.05 ! [V_ys,V_y,V_xs,V_n,T_a] : % 169.26/169.05 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys) % 169.26/169.05 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct1__rotate,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2))) % 169.26/169.05 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__drop,axiom, % 169.26/169.05 ! [V_i,V_xs,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__butlast,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_butlast__drop,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__drop,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__take,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__drop,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__0,axiom, % 169.26/169.05 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__zip,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__rotate1,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__drop,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__rotate1,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_in__set__dropD,axiom, % 169.26/169.05 ! [V_xs_2,V_na_2,V_x_2,T_b] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__drop__subset,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate1__is__Nil__conv,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__Nil,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__drop__subset__set__drop,axiom, % 169.26/169.05 ! [V_xs_2,T_b,V_m_2,V_na_2] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) % 169.26/169.05 => 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)))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__eq__Nil,axiom, % 169.26/169.05 ! [V_xs_2,V_na_2,T_b] : % 169.26/169.05 ( hAPP(hAPP(c_List_Odrop(T_b),V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 169.26/169.05 <=> 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__all,axiom, % 169.26/169.05 ! [V_n,V_xs,T_a] : % 169.26/169.05 ( 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)) % 169.26/169.05 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__append,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__eq__conv__conj,axiom, % 169.26/169.05 ! [V_zs_2,V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2 % 169.26/169.05 <=> ( 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) % 169.26/169.05 & 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__Cons,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__Cons_H,axiom, % 169.26/169.05 ! [V_xs,V_x,T_a,V_n] : % 169.26/169.05 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__drop,axiom, % 169.26/169.05 ! [V_xs,T_a,V_i,V_n] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__eq__append__conv__if,axiom, % 169.26/169.05 ! [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] : % 169.26/169.05 ( 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) % 169.26/169.05 <=> ( ( 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))) % 169.26/169.05 => ( 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) % 169.26/169.05 & 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) ) ) % 169.26/169.05 & ( ~ 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))) % 169.26/169.05 => ( 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 % 169.26/169.05 & 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 ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__drop_H,axiom, % 169.26/169.05 ! [V_xs,T_a,V_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__simps,axiom, % 169.26/169.05 ! [V_xs,V_x,T_b,T_a] : % 169.26/169.05 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) % 169.26/169.05 & 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__Cons__number__of,axiom, % 169.26/169.05 ! [V_xs,V_x,T_a,V_v] : % 169.26/169.05 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__add,axiom, % 169.26/169.05 ! [V_xs,T_a,V_j,V_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate1__length01,axiom, % 169.26/169.05 ! [V_xs,T_a] : % 169.26/169.05 ( 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))) % 169.26/169.05 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__append2,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__append1,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_id__take__nth__drop,axiom, % 169.26/169.05 ! [V_xs,T_a,V_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__hd__drop,axiom, % 169.26/169.05 ! [V_xs,T_a,V_n] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_hd__drop__conv__nth,axiom, % 169.26/169.05 ! [V_n,T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => ( 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))) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_hd_Osimps,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_hd__append,axiom, % 169.26/169.05 ! [V_ys,T_a,V_xs] : % 169.26/169.05 ( ( V_xs = c_List_Olist_ONil(T_a) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_hd__append2,axiom, % 169.26/169.05 ! [V_ys,T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_hd__in__set,axiom, % 169.26/169.05 ! [T_b,V_xs_2] : % 169.26/169.05 ( V_xs_2 != c_List_Olist_ONil(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_hd__conv__nth,axiom, % 169.26/169.05 ! [T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate1__hd__tl,axiom, % 169.26/169.05 ! [T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_hd__rotate__conv__nth,axiom, % 169.26/169.05 ! [V_n,T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_tl__drop,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__tl,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_tl_Osimps_I2_J,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__rotate,axiom, % 169.26/169.05 ! [V_xs_2,V_na_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2))) % 169.26/169.05 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__tl,axiom, % 169.26/169.05 ! [V_xs,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__add,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__rotate,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate0,axiom, % 169.26/169.05 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__rotate,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__rotate,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__is__Nil__conv,axiom, % 169.26/169.05 ! [V_xs_2,V_na_2,T_b] : % 169.26/169.05 ( hAPP(c_List_Orotate(T_b,V_na_2),V_xs_2) = c_List_Olist_ONil(T_b) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_tl_Osimps_I1_J,axiom, % 169.26/169.05 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate1__rotate__swap,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__def,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_tl__append2,axiom, % 169.26/169.05 ! [V_ys,T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__tl,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__conv__mod,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__Suc,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__Suc,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_tl__append,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__id,axiom, % 169.26/169.05 ! [V_xs,T_a,V_n] : % 169.26/169.05 ( 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) % 169.26/169.05 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__length01,axiom, % 169.26/169.05 ! [V_n,V_xs,T_a] : % 169.26/169.05 ( 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))) % 169.26/169.05 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__tl,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_tl__take,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__Suc,axiom, % 169.26/169.05 ! [V_n,T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__drop__take,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_fold1__set,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( class_Lattices_Oab__semigroup__idem__mult(T_b) % 169.26/169.05 => ( V_xs_2 != c_List_Olist_ONil(T_b) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lexord__append__rightI,axiom, % 169.26/169.05 ! [V_r_2,V_x_2,T_b,V_y_2] : % 169.26/169.05 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldl__Nil,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_start__le__sum,axiom, % 169.26/169.05 ! [V_ns_2,V_na_2,V_m_2] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_na_2)) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldl__absorb0,axiom, % 169.26/169.05 ! [V_zs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Groups_Omonoid__add(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldl__assoc,axiom, % 169.26/169.05 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 169.26/169.05 ( class_Groups_Osemigroup__add(T_b) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldl__Cons,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldl__append,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__foldl,axiom, % 169.26/169.05 ! [T_b] : % 169.26/169.05 ( class_Groups_Omonoid__add(T_b) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sum__eq__0__conv,axiom, % 169.26/169.05 ! [V_ns_2,V_m_2] : % 169.26/169.05 ( 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) % 169.26/169.05 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 & ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 169.26/169.05 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_fun__left__comm__idem_Ofold__set,axiom, % 169.26/169.05 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Sup__set__fold,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Inf__set__fold,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Sup__fin__set__fold,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Lattices_Olattice(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Inf__fin__set__fold,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Lattices_Olattice(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Min__fin__set__fold,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Max__fin__set__fold,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_min__max_OInf__fin__set__fold,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_min__max_OSup__fin__set__fold,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_SUPR__set__fold,axiom, % 169.26/169.05 ! [V_f_2,V_xs_2,T_c,T_b] : % 169.26/169.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_INFI__set__fold,axiom, % 169.26/169.05 ! [V_f_2,V_xs_2,T_c,T_b] : % 169.26/169.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_elem__le__sum,axiom, % 169.26/169.05 ! [V_ns_2,V_na_2] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_na_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2))) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__list__of__set__insert,axiom, % 169.26/169.05 ! [V_x_2,V_A_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.05 => 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)))))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lexord__Nil__left,axiom, % 169.26/169.05 ! [V_r_2,V_y_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.05 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_insort__key_Osimps_I2_J,axiom, % 169.26/169.05 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( ( 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))) % 169.26/169.05 => 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)) ) % 169.26/169.05 & ( ~ 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))) % 169.26/169.05 => 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)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_insort__key_Osimps_I1_J,axiom, % 169.26/169.05 ! [V_x_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__insort,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__insort,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_fun__left__comm__insort,axiom, % 169.26/169.05 ! [T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_insort__left__comm,axiom, % 169.26/169.05 ! [V_xs_2,V_y_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_insort__key__left__comm,axiom, % 169.26/169.05 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remove1__insort,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_insort__not__Nil,axiom, % 169.26/169.05 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__insort,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => ( 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))) % 169.26/169.05 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_insort__insert__insort__key,axiom, % 169.26/169.05 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( ~ 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)))) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_insort__insert__insort,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__insort__insert,axiom, % 169.26/169.05 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => 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))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_insort__insert__triv,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__insort__insert,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_insort__insert__key__triv,axiom, % 169.26/169.05 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( 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)))) % 169.26/169.05 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__list__update,axiom, % 169.26/169.05 ! [V_x,V_k,T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => ( ( 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)) % 169.26/169.05 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x ) % 169.26/169.05 & ( 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)) % 169.26/169.05 => 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) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__conv__nth,axiom, % 169.26/169.05 ! [T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__ConsL,axiom, % 169.26/169.05 ! [V_x,T_a,V_xs] : % 169.26/169.05 ( V_xs = c_List_Olist_ONil(T_a) % 169.26/169.05 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__ConsR,axiom, % 169.26/169.05 ! [V_x,T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last_Osimps,axiom, % 169.26/169.05 ! [V_x,T_a,V_xs] : % 169.26/169.05 ( ( V_xs = c_List_Olist_ONil(T_a) % 169.26/169.05 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) % 169.26/169.05 & ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__appendL,axiom, % 169.26/169.05 ! [V_xs,T_a,V_ys] : % 169.26/169.05 ( V_ys = c_List_Olist_ONil(T_a) % 169.26/169.05 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__appendR,axiom, % 169.26/169.05 ! [V_xs,T_a,V_ys] : % 169.26/169.05 ( V_ys != c_List_Olist_ONil(T_a) % 169.26/169.05 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__append,axiom, % 169.26/169.05 ! [V_xs,T_a,V_ys] : % 169.26/169.05 ( ( V_ys = c_List_Olist_ONil(T_a) % 169.26/169.05 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) % 169.26/169.05 & ( V_ys != c_List_Olist_ONil(T_a) % 169.26/169.05 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__in__set,axiom, % 169.26/169.05 ! [T_b,V_as_2] : % 169.26/169.05 ( V_as_2 != c_List_Olist_ONil(T_b) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__snoc,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__drop,axiom, % 169.26/169.05 ! [V_xs,T_a,V_n] : % 169.26/169.05 ( 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))) % 169.26/169.05 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_snoc__eq__iff__butlast,axiom, % 169.26/169.05 ! [V_ys_2,V_x_2,V_xs_2,T_b] : % 169.26/169.05 ( 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 % 169.26/169.05 <=> ( V_ys_2 != c_List_Olist_ONil(T_b) % 169.26/169.05 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2 % 169.26/169.05 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__butlast__last__id,axiom, % 169.26/169.05 ! [T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => 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 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lists_Osimps,axiom, % 169.26/169.05 ! [V_A_2,V_a_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2))) % 169.26/169.05 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 169.26/169.05 | ? [B_a,B_l] : % 169.26/169.05 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l) % 169.26/169.05 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2)) % 169.26/169.05 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_select__weigth__select,axiom, % 169.26/169.05 ! [T_b,V_xs_2] : % 169.26/169.05 ( V_xs_2 != c_List_Olist_ONil(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_inj__mapI,axiom, % 169.26/169.05 ! [V_f_2,T_c,T_b] : % 169.26/169.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__map,axiom, % 169.26/169.05 ! [V_f_2,T_c,T_b,V_xs_2] : % 169.26/169.05 ( V_xs_2 != c_List_Olist_ONil(T_b) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldl__map,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__tl,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__map,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__map__map,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__map1,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__zip__map,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__zip__map2,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__map2,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__same__conv__map,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Nil__is__map__conv,axiom, % 169.26/169.05 ! [V_xs_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map_Osimps_I1_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__is__Nil__conv,axiom, % 169.26/169.05 ! [V_xs_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__update,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__eq__conv,axiom, % 169.26/169.05 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( 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) % 169.26/169.05 <=> ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2))) % 169.26/169.05 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__eq__imp__length__eq,axiom, % 169.26/169.05 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( 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) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__map,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__0,axiom, % 169.26/169.05 ! [V_xs_2,T_c,T_b] : % 169.26/169.05 ( class_Groups_Omonoid__add(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__const__mult,axiom, % 169.26/169.05 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] : % 169.26/169.05 ( class_Rings_Osemiring__0(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__mult__const,axiom, % 169.26/169.05 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( class_Rings_Osemiring__0(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__subtractf,axiom, % 169.26/169.05 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( class_Groups_Oab__group__add(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__addf,axiom, % 169.26/169.05 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( class_Groups_Ocomm__monoid__add(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_inj__map__eq__map,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.05 => ( 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) % 169.26/169.05 <=> V_xs_2 = V_ys_2 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__injective,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( 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) % 169.26/169.05 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) % 169.26/169.05 => V_xs_2 = V_ys_2 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__ident,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__map,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__butlast,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__map,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map_Osimps_I2_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__append,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_hd__map,axiom, % 169.26/169.05 ! [V_f_2,T_c,T_b,V_xs_2] : % 169.26/169.05 ( V_xs_2 != c_List_Olist_ONil(T_b) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__map,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__map,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_List_Omap_Ocompositionality,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__comp__map,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_List_Omap_Ocomp,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_List_Omap_Oidentity,axiom, % 169.26/169.05 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__size__map,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_List_Omap_Oid,axiom, % 169.26/169.05 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__inj__on,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( 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) % 169.26/169.05 => ( 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))) % 169.26/169.05 => V_xs_2 = V_ys_2 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_inj__on__map__eq__map,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( 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) % 169.26/169.05 <=> V_xs_2 = V_ys_2 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__map,axiom, % 169.26/169.05 ! [V_f_2,T_c,V_xs_2,T_b,V_na_2] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__fun__upd,axiom, % 169.26/169.05 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] : % 169.26/169.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__map,axiom, % 169.26/169.05 ! [V_xs_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) % 169.26/169.05 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2)) % 169.26/169.05 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__abs,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( class_Groups_Oordered__ab__group__add__abs(T_b) % 169.26/169.05 => 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)))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_uminus__listsum__map,axiom, % 169.26/169.05 ! [V_xs_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( class_Groups_Oab__group__add(T_b) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_inj__on__mapI,axiom, % 169.26/169.05 ! [V_A_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_inj__mapD,axiom, % 169.26/169.05 ! [V_f_2,T_c,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_inj__map,axiom, % 169.26/169.05 ! [V_f_2,T_c,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__distinct__conv__setsum__set,axiom, % 169.26/169.05 ! [V_f_2,V_xs_2,T_b,T_c] : % 169.26/169.05 ( class_Groups_Ocomm__monoid__add(T_c) % 169.26/169.05 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__triv,axiom, % 169.26/169.05 ! [V_xs_2,V_r_2,T_c,T_b] : % 169.26/169.05 ( class_Rings_Osemiring__1(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__map__remove1,axiom, % 169.26/169.05 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] : % 169.26/169.05 ( class_Groups_Ocomm__monoid__add(T_c) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => 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)))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Nitpick_Osetsum_H__def,axiom, % 169.26/169.05 ! [V_f_2,V_A_2,T_b,T_c] : % 169.26/169.05 ( class_Groups_Ocomm__monoid__add(T_c) % 169.26/169.05 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.05 => 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))))) ) % 169.26/169.05 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.05 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_pick__same,axiom, % 169.26/169.05 ! [V_xs_2,T_b,V_l_2] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_times__code__numeral__code,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Code__Numeral_Oof__nat__code,axiom, % 169.26/169.05 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Code__Numeral_Oof__nat__inject,axiom, % 169.26/169.05 ! [V_m_2,V_na_2] : % 169.26/169.05 ( hAPP(c_Code__Numeral_Oof__nat,V_na_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2) % 169.26/169.05 <=> V_na_2 = V_m_2 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zero__code__numeral__def,axiom, % 169.26/169.05 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_one__code__numeral__def,axiom, % 169.26/169.05 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_less__code__numeral__code,axiom, % 169.26/169.05 ! [V_m_2,V_na_2] : % 169.26/169.05 ( 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))) % 169.26/169.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_code__numeral_Oof__nat__inject,axiom, % 169.26/169.05 ! [V_y_2,V_x_2] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 169.26/169.05 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2) % 169.26/169.05 <=> V_x_2 = V_y_2 ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__fst__zip,axiom, % 169.26/169.05 ! [V_ys_2,T_c,V_xs_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 => 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 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__snd__zip,axiom, % 169.26/169.05 ! [V_ys_2,T_c,V_xs_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 => 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 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_number__of__code__numeral__def,axiom, % 169.26/169.05 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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__map__fst__snd,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_plus__code__numeral__code,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_less__eq__code__numeral__code,axiom, % 169.26/169.05 ! [V_m_2,V_na_2] : % 169.26/169.05 ( 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))) % 169.26/169.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_na_2),V_m_2)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_pick__member,axiom, % 169.26/169.05 ! [V_xs_2,T_b,V_i_2] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => 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)))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__eq__conv,axiom, % 169.26/169.05 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2 % 169.26/169.05 <=> ( 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 % 169.26/169.05 & 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 ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__size__conv__listsum,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_code__numeral__not__eq__zero,axiom, % 169.26/169.05 ! [V_i_2] : % 169.26/169.05 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 169.26/169.05 <=> 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_interv__listsum__conv__setsum__set__int,axiom, % 169.26/169.05 ! [V_l_2,V_k_2,V_f_2,T_b] : % 169.26/169.05 ( class_Groups_Ocomm__monoid__add(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_setsum__set__upto__conv__listsum__int,axiom, % 169.26/169.05 ! [V_j_2,V_i_2,V_f_2,T_b] : % 169.26/169.05 ( class_Groups_Ocomm__monoid__add(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_select__weight__member,axiom, % 169.26/169.05 ! [V_s_2,V_xs_2,T_b] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => 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)))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_select__weight__def,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_select__def,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_subtract__code__numeral__code,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nat__of__of__nat,axiom, % 169.26/169.05 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ). % 169.26/169.05 % 169.26/169.05 fof(fact_of__nat__nat__of,axiom, % 169.26/169.05 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ). % 169.26/169.05 % 169.26/169.05 fof(fact_nat__of__inverse,axiom, % 169.26/169.05 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ). % 169.26/169.05 % 169.26/169.05 fof(fact_code__numeral_Onat__of__inject,axiom, % 169.26/169.05 ! [V_y_2,V_x_2] : % 169.26/169.05 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2) % 169.26/169.05 <=> V_x_2 = V_y_2 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Code__Numeral_Onat__of__inject,axiom, % 169.26/169.05 ! [V_l_2,V_k_2] : % 169.26/169.05 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2) % 169.26/169.05 <=> V_k_2 = V_l_2 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_times__code__numeral__def,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_type__definition__code__numeral,axiom, % 169.26/169.05 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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_less__code__numeral__def,axiom, % 169.26/169.05 ! [V_m_2,V_na_2] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2)) % 169.26/169.05 <=> 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nat__of,axiom, % 169.26/169.05 ! [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)))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nat__of__number,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_int__of__def,axiom, % 169.26/169.05 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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_less__eq__code__numeral__def,axiom, % 169.26/169.05 ! [V_m_2,V_na_2] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_na_2),V_m_2)) % 169.26/169.05 <=> 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nat__of__code,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nat__of__aux__def,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Suc__code__numeral__def,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_minus__code__numeral__def,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_of__nat__inverse,axiom, % 169.26/169.05 ! [V_y_2] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 169.26/169.05 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_plus__code__numeral__def,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_div__code__numeral__def,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_minus__code__numeral__code,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_subtract__code__numeral__def,axiom, % 169.26/169.05 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.05 % 169.26/169.05 fof(fact_mod__code__numeral__def,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_code__numeral__decr,axiom, % 169.26/169.05 ! [V_k] : % 169.26/169.05 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__mono,axiom, % 169.26/169.05 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] : % 169.26/169.05 ( ( class_Groups_Omonoid__add(T_c) % 169.26/169.05 & class_Groups_Oordered__ab__semigroup__add(T_c) ) % 169.26/169.05 => ( ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) % 169.26/169.05 => 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)))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_New__DSequence_Opos__not__seq__def,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_partition__set,axiom, % 169.26/169.05 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lists__Int__eq,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsp_ONil,axiom, % 169.26/169.05 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsp_Oequations_I1_J,axiom, % 169.26/169.05 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_in__listsp__conv__set,axiom, % 169.26/169.05 ! [V_xs_2,V_A_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 169.26/169.05 <=> ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => hBOOL(hAPP(V_A_2,B_x)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsp__conj__eq,axiom, % 169.26/169.05 ! [V_x_2,V_B_2,V_A_2,T_b] : % 169.26/169.05 ( 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)) % 169.26/169.05 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2)) % 169.26/169.05 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsp__infI,axiom, % 169.26/169.05 ! [V_B_2,V_l_2,V_A_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2)) % 169.26/169.05 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2)) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsp__inf__eq,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsp_Oequations_I2_J,axiom, % 169.26/169.05 ! [V_a2_2,V_a1_2,V_A_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2))) % 169.26/169.05 <=> ( hBOOL(hAPP(V_A_2,V_a1_2)) % 169.26/169.05 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_append__in__listsp__conv,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_A_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))) % 169.26/169.05 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2)) % 169.26/169.05 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsp__mono,axiom, % 169.26/169.05 ! [V_B_2,V_A_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_partition__P,axiom, % 169.26/169.05 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 => ( ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2))) % 169.26/169.05 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.05 & ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2))) % 169.26/169.05 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_partition_Osimps_I1_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsp__lists__eq,axiom, % 169.26/169.05 ! [V_x_2,V_A_2,T_b] : % 169.26/169.05 ( 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)) % 169.26/169.05 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_partition_Osimps_I2_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_lists__IntI,axiom, % 169.26/169.05 ! [V_B_2,V_A_2,V_l_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2))) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2))) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_product_Osimps_I2_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__def,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 169.26/169.05 <=> ( 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) % 169.26/169.05 & ! [B_x] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__map2,axiom, % 169.26/169.05 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( 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)) % 169.26/169.05 <=> 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__map1,axiom, % 169.26/169.05 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 <=> 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__dropI,axiom, % 169.26/169.05 ! [V_na_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__appendI,axiom, % 169.26/169.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) % 169.26/169.05 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__append,axiom, % 169.26/169.05 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 => ( 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)) % 169.26/169.05 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 169.26/169.05 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__Cons,axiom, % 169.26/169.05 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( 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)) % 169.26/169.05 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 169.26/169.05 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__takeI,axiom, % 169.26/169.05 ! [V_na_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__eq,axiom, % 169.26/169.05 ! [T_b,V_ys_2,V_xs_2] : % 169.26/169.05 ( V_xs_2 = V_ys_2 % 169.26/169.05 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__lengthD,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__Nil2,axiom, % 169.26/169.05 ! [V_xs_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c)) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__Nil,axiom, % 169.26/169.05 ! [V_ys_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2) % 169.26/169.05 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_product_Osimps_I1_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__conv__all__nth,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 169.26/169.05 <=> ( 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) % 169.26/169.05 & ! [B_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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))) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__nthD,axiom, % 169.26/169.05 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 169.26/169.05 => ( 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))) % 169.26/169.05 => 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))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__nthD2,axiom, % 169.26/169.05 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 169.26/169.05 => ( 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))) % 169.26/169.05 => 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))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__update__cong,axiom, % 169.26/169.05 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 169.26/169.05 => 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)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__update__cong2,axiom, % 169.26/169.05 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2)) % 169.26/169.05 => ( 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))) % 169.26/169.05 => 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)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__product,axiom, % 169.26/169.05 ! [V_ys,T_b,V_xs,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_product__list__set,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sublists__powset,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__sublists,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sublists_Osimps_I1_J,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sublists_Osimps_I2_J,axiom, % 169.26/169.05 ! [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))))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__set__sublists,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => 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)))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__n__lists,axiom, % 169.26/169.05 ! [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)))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_enum__the__def,axiom, % 169.26/169.05 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__n__lists,axiom, % 169.26/169.05 ! [V_n,V_xs,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_n__lists_Osimps_I1_J,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_n__lists__Nil,axiom, % 169.26/169.05 ! [T_a,V_n] : % 169.26/169.05 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 => 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))) ) % 169.26/169.05 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__n__lists,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__n__lists__elem,axiom, % 169.26/169.05 ! [V_xs_2,V_na_2,V_ys_2,T_b] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_na_2 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2I,axiom, % 169.26/169.05 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] : % 169.26/169.05 ( ! [B_x] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) % 169.26/169.05 => ( 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) % 169.26/169.05 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_all__nth__imp__all__set,axiom, % 169.26/169.05 ! [V_x_2,V_Pa_2,V_xs_2,T_b] : % 169.26/169.05 ( ! [B_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_fun__left__comm_Ofold__set__remdups,axiom, % 169.26/169.05 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__removeAll__inj__on,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__remdups,axiom, % 169.26/169.05 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__remdups__leq,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remdups__id__iff__distinct,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2 % 169.26/169.05 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__removeAll,axiom, % 169.26/169.05 ! [V_x,V_xs,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__remdups__id,axiom, % 169.26/169.05 ! [V_xs,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => c_List_Oremdups(T_a,V_xs) = V_xs ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__remdups,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__remdups__eq,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remdups__remdups,axiom, % 169.26/169.05 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remdups_Osimps_I1_J,axiom, % 169.26/169.05 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remdups__eq__nil__right__iff,axiom, % 169.26/169.05 ! [V_x_2,T_b] : % 169.26/169.05 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2) % 169.26/169.05 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_removeAll_Osimps_I1_J,axiom, % 169.26/169.05 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remdups__eq__nil__iff,axiom, % 169.26/169.05 ! [V_x_2,T_b] : % 169.26/169.05 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b) % 169.26/169.05 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_removeAll_Osimps_I2_J,axiom, % 169.26/169.05 ! [V_xs,T_a,V_y,V_x] : % 169.26/169.05 ( ( V_x = V_y % 169.26/169.05 => 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) ) % 169.26/169.05 & ( V_x != V_y % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_removeAll__append,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remdups__map__remdups,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remove1__remdups,axiom, % 169.26/169.05 ! [V_x,V_xs,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_removeAll__id,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__remove1__removeAll,axiom, % 169.26/169.05 ! [V_x,V_xs,T_a] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.05 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remdups_Osimps_I2_J,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__remdups__card__conv,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__removeAll__inj,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__removeAll,axiom, % 169.26/169.05 ! [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)))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__remdups__concat,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__list__of__set__sort__remdups,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_concat__conv__foldl,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sort__key__simps_I1_J,axiom, % 169.26/169.05 ! [V_f_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldl__conv__concat,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__sort,axiom, % 169.26/169.05 ! [V_xs_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__sort,axiom, % 169.26/169.05 ! [V_xs_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__sort,axiom, % 169.26/169.05 ! [V_xs_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2))) % 169.26/169.05 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_concat_Osimps_I1_J,axiom, % 169.26/169.05 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ). % 169.26/169.05 % 169.26/169.05 fof(fact_concat_Osimps_I2_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Nil__eq__concat__conv,axiom, % 169.26/169.05 ! [V_xss_2,T_b] : % 169.26/169.05 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2) % 169.26/169.05 <=> ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 169.26/169.05 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_concat__eq__Nil__conv,axiom, % 169.26/169.05 ! [V_xss_2,T_b] : % 169.26/169.05 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b) % 169.26/169.05 <=> ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2))) % 169.26/169.05 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__concat,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__concat,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__concat,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sort__key__simps_I2_J,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_concat__append,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sort__foldl__insort,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_concat__injective,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 169.26/169.05 => ( 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) % 169.26/169.05 => ( ! [B_x] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => 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)) ) % 169.26/169.05 => V_xs_2 = V_ys_2 ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_concat__eq__concat__iff,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( ! [B_x] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => 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)) ) % 169.26/169.05 => ( 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) % 169.26/169.05 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2) % 169.26/169.05 <=> V_xs_2 = V_ys_2 ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_concat__map__singleton,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_n__lists_Osimps_I2_J,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose_Osimps_I3_J,axiom, % 169.26/169.05 ! [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))))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose__aux__filter__head,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__concat,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__sort,axiom, % 169.26/169.05 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__filter,axiom, % 169.26/169.05 ! [V_Pa_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sum__length__filter__compl,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__is__subset,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__id__conv,axiom, % 169.26/169.05 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.05 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2 % 169.26/169.05 <=> ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__filter__le,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_partition__filter__conv,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_partition__filter2,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_partition__filter1,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__filter,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remove1__filter__not,axiom, % 169.26/169.05 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 169.26/169.05 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__remove1,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__insort__triv,axiom, % 169.26/169.05 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__map,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose_Osimps_I1_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter_Osimps_I1_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter_Osimps_I2_J,axiom, % 169.26/169.05 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 169.26/169.05 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.05 => 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)) ) % 169.26/169.05 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__append,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__empty__conv,axiom, % 169.26/169.05 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.05 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b) % 169.26/169.05 <=> ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__filter__map,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_removeAll__filter__not,axiom, % 169.26/169.05 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 169.26/169.05 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_remdups__filter,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_removeAll__filter__not__eq,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose_Osimps_I2_J,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__transpose,axiom, % 169.26/169.05 ! [V_xs_2,T_b,V_i_2] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose__map__map,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__filter,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__filter__less,axiom, % 169.26/169.05 ! [V_Pa_2,V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.05 => 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))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__minus__filter__out,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__in__sublist,axiom, % 169.26/169.05 ! [V_s_2,V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose__empty,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b)) % 169.26/169.05 <=> ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 169.26/169.05 => B_x = c_List_Olist_ONil(T_b) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__filter__conv__card,axiom, % 169.26/169.05 ! [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))))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose__aux__filter__tail,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose_Opsimps_I3_J,axiom, % 169.26/169.05 ! [V_xss_2,V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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))))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose_Opsimps_I2_J,axiom, % 169.26/169.05 ! [V_xss_2,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sublist__shift__lemma__Suc,axiom, % 169.26/169.05 ! [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)))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_select__weigth__drop__zero,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_pick__drop__zero,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose_Opsimps_I1_J,axiom, % 169.26/169.05 ! [T_b] : % 169.26/169.05 ( 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)))) % 169.26/169.05 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose__max__length,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose__aux__max,axiom, % 169.26/169.05 ! [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)))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldr_Osimps_I1_J,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldr_Osimps_I2_J,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldr__append,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldr__conv__foldl,axiom, % 169.26/169.05 ! [V_a_2,V_xs_2,T_b] : % 169.26/169.05 ( class_Groups_Oab__semigroup__add(T_b) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldr__map,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldl__foldr1__lemma,axiom, % 169.26/169.05 ! [V_xs_2,V_a_2,T_b] : % 169.26/169.05 ( class_Groups_Omonoid__add(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldl__foldr1,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( class_Groups_Omonoid__add(T_b) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__transpose,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sublist__def,axiom, % 169.26/169.05 ! [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))))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sublist__shift__lemma,axiom, % 169.26/169.05 ! [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))))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__upt,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_atLeastLessThan__upt,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upt__Suc,axiom, % 169.26/169.05 ! [V_j,V_i] : % 169.26/169.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 169.26/169.05 => 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))) ) % 169.26/169.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 169.26/169.05 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upt__Suc__append,axiom, % 169.26/169.05 ! [V_j,V_i] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upt__add__eq__append,axiom, % 169.26/169.05 ! [V_k,V_j,V_i] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upt__rec,axiom, % 169.26/169.05 ! [V_j,V_i] : % 169.26/169.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 169.26/169.05 => 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)) ) % 169.26/169.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 169.26/169.05 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upt__conv__Cons,axiom, % 169.26/169.05 ! [V_j,V_i] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upt__conv__Nil,axiom, % 169.26/169.05 ! [V_i,V_j] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i)) % 169.26/169.05 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upt__eq__Nil__conv,axiom, % 169.26/169.05 ! [V_j_2,V_i_2] : % 169.26/169.05 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat) % 169.26/169.05 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.05 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upt__0,axiom, % 169.26/169.05 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ). % 169.26/169.05 % 169.26/169.05 fof(fact_take__upt,axiom, % 169.26/169.05 ! [V_n,V_m,V_i] : % 169.26/169.05 ( 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)) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__list__of__set__range,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_hd__upt,axiom, % 169.26/169.05 ! [V_j,V_i] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 169.26/169.05 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_drop__upt,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__upt,axiom, % 169.26/169.05 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__upt,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upt__rec__number__of,axiom, % 169.26/169.05 ! [V_n,V_m] : % 169.26/169.05 ( ( 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))) % 169.26/169.05 => 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))) ) % 169.26/169.05 & ( ~ 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))) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_upt__eq__Cons__conv,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,V_j_2,V_i_2] : % 169.26/169.05 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2) % 169.26/169.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2)) % 169.26/169.05 & V_i_2 = V_x_2 % 169.26/169.05 & 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 ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__upt,axiom, % 169.26/169.05 ! [V_j,V_i] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j)) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__Suc__upt,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_atLeastAtMost__upt,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_atLeast__upt,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__upt,axiom, % 169.26/169.05 ! [V_j,V_k,V_i] : % 169.26/169.05 ( 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)) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_greaterThanAtMost__upt,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_greaterThanLessThan__upt,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_atMost__upto,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__nth,axiom, % 169.26/169.05 ! [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 ). % 169.26/169.05 % 169.26/169.05 fof(fact_interv__listsum__conv__setsum__set__nat,axiom, % 169.26/169.05 ! [V_na_2,V_m_2,V_f_2,T_b] : % 169.26/169.05 ( class_Groups_Ocomm__monoid__add(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_setsum__set__upt__conv__listsum__nat,axiom, % 169.26/169.05 ! [V_na_2,V_m_2,V_f_2,T_b] : % 169.26/169.05 ( class_Groups_Ocomm__monoid__add(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__map__upt,axiom, % 169.26/169.05 ! [V_f_2,T_b,V_m_2,V_na_2,V_i_2] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose__rectangle,axiom, % 169.26/169.05 ! [V_na_2,T_b,V_xs_2] : % 169.26/169.05 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 169.26/169.05 => V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 169.26/169.05 => ( ! [B_i] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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 ) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_insort__key__remove1,axiom, % 169.26/169.05 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 169.26/169.05 => ( 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 % 169.26/169.05 => 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 ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted_ONil,axiom, % 169.26/169.05 ! [T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__single,axiom, % 169.26/169.05 ! [V_x,T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__upt,axiom, % 169.26/169.05 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__sort,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__insort__insert,axiom, % 169.26/169.05 ! [V_x_2,V_xs_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__drop,axiom, % 169.26/169.05 ! [V_n,V_xs,T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 169.26/169.05 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__upto,axiom, % 169.26/169.05 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__take,axiom, % 169.26/169.05 ! [V_n,V_xs,T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 169.26/169.05 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__remove1,axiom, % 169.26/169.05 ! [V_a,V_xs,T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 169.26/169.05 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__tl,axiom, % 169.26/169.05 ! [V_xs,T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 169.26/169.05 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__insort,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( 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)) % 169.26/169.05 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__butlast,axiom, % 169.26/169.05 ! [V_xs,T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 169.26/169.05 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted_Oequations_I1_J,axiom, % 169.26/169.05 ! [T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__many__eq,axiom, % 169.26/169.05 ! [V_zs_2,V_y_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( 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))) % 169.26/169.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) % 169.26/169.05 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__many,axiom, % 169.26/169.05 ! [V_zs,V_y,V_x,T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs)) % 169.26/169.05 => 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))) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__remdups,axiom, % 169.26/169.05 ! [V_l,T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_a,V_l) % 169.26/169.05 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__distinct__set__unique,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 169.26/169.05 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 169.26/169.05 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2)) % 169.26/169.05 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 169.26/169.05 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__sort__key,axiom, % 169.26/169.05 ! [V_xs_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__insort__insert__key,axiom, % 169.26/169.05 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 169.26/169.05 => 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))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__map__remove1,axiom, % 169.26/169.05 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 169.26/169.05 => 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))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__insort__key,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( 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))) % 169.26/169.05 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__filter,axiom, % 169.26/169.05 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 169.26/169.05 => 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))) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__map__same,axiom, % 169.26/169.05 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__same,axiom, % 169.26/169.05 ! [V_xs_2,V_g_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__Cons,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 169.26/169.05 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 169.26/169.05 & ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__append,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 169.26/169.05 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 169.26/169.05 & c_List_Olinorder__class_Osorted(T_b,V_ys_2) % 169.26/169.05 & ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => ! [B_xa] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_filter__insort,axiom, % 169.26/169.05 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) % 169.26/169.05 => ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.05 => 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)) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted_Oequations_I2_J,axiom, % 169.26/169.05 ! [V_a1_2,V_a2_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2)) % 169.26/169.05 <=> ( ! [B_x] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2))) % 169.26/169.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) ) % 169.26/169.05 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__list__of__set,axiom, % 169.26/169.05 ! [V_A_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.05 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2 % 169.26/169.05 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) % 169.26/169.05 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_insort__remove1,axiom, % 169.26/169.05 ! [V_xs_2,V_a_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 169.26/169.05 => 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 ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__nth__mono,axiom, % 169.26/169.05 ! [V_j,V_i,V_xs,T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_a,V_xs) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 169.26/169.05 => ( 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))) % 169.26/169.05 => 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))) ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__equals__nth__mono,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 169.26/169.05 <=> ! [B_j] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ! [B_i] : % 169.26/169.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 169.26/169.05 => 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))) ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_map__sorted__distinct__set__unique,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : % 169.26/169.05 ( class_Orderings_Olinorder(T_c) % 169.26/169.05 => ( 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))) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) % 169.26/169.05 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)) % 169.26/169.05 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))) % 169.26/169.05 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2) % 169.26/169.05 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose__column,axiom, % 169.26/169.05 ! [V_i_2,V_xs_2,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( 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))) % 169.26/169.05 => 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) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_nth__nth__transpose__sorted,axiom, % 169.26/169.05 ! [V_j_2,V_i_2,V_xs_2,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( 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)))) % 169.26/169.05 => ( 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)))) % 169.26/169.05 => 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) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_inj__on__rev,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_distinct__rev,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2))) % 169.26/169.05 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev_Osimps_I1_J,axiom, % 169.26/169.05 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ). % 169.26/169.05 % 169.26/169.05 fof(fact_Nil__is__rev__conv,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__is__Nil__conv,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b) % 169.26/169.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__singleton__conv,axiom, % 169.26/169.05 ! [V_x_2,V_xs_2,T_b] : % 169.26/169.05 ( 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)) % 169.26/169.05 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_singleton__rev__conv,axiom, % 169.26/169.05 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.05 ( 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) % 169.26/169.05 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__append,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__concat,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__map,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__filter,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_zip__rev,axiom, % 169.26/169.05 ! [V_ys,T_b,V_xs,T_a] : % 169.26/169.05 ( 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) % 169.26/169.05 => 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)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_set__rev,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__rev1,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2) % 169.26/169.05 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_list__all2__rev,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : % 169.26/169.05 ( 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)) % 169.26/169.05 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__is__rev__conv,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2) % 169.26/169.05 <=> V_xs_2 = V_ys_2 ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__swap,axiom, % 169.26/169.05 ! [V_ys_2,V_xs_2,T_b] : % 169.26/169.05 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2 % 169.26/169.05 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__rev__ident,axiom, % 169.26/169.05 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ). % 169.26/169.05 % 169.26/169.05 fof(fact_listsum__rev,axiom, % 169.26/169.05 ! [V_xs,T_a] : % 169.26/169.05 ( class_Groups_Ocomm__monoid__add(T_a) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__rev,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldr__foldl,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldl__foldr,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev_Osimps_I2_J,axiom, % 169.26/169.05 ! [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))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__eq__Cons__iff,axiom, % 169.26/169.05 ! [V_ys_2,V_y_2,V_xs_2,T_b] : % 169.26/169.05 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2) % 169.26/169.05 <=> 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_last__rev,axiom, % 169.26/169.05 ! [T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_hd__rev,axiom, % 169.26/169.05 ! [T_a,V_xs] : % 169.26/169.05 ( V_xs != c_List_Olist_ONil(T_a) % 169.26/169.05 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__transpose,axiom, % 169.26/169.05 ! [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)))) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__foldl__cons,axiom, % 169.26/169.05 ! [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) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__drop,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__take,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rotate__rev,axiom, % 169.26/169.05 ! [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)) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__nth,axiom, % 169.26/169.05 ! [V_xs,T_a,V_n] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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))) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_rev__update,axiom, % 169.26/169.05 ! [V_y,V_xs,T_a,V_k] : % 169.26/169.05 ( 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))) % 169.26/169.05 => 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) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_sorted__rev__nth__mono,axiom, % 169.26/169.05 ! [V_j,V_i,V_xs,T_a] : % 169.26/169.05 ( class_Orderings_Olinorder(T_a) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs)) % 169.26/169.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j)) % 169.26/169.05 => ( 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))) % 169.26/169.05 => 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))) ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_foldr__max__sorted,axiom, % 169.26/169.05 ! [V_y_2,V_xs_2,T_b] : % 169.26/169.05 ( class_Orderings_Olinorder(T_b) % 169.26/169.05 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2)) % 169.26/169.05 => ( ( V_xs_2 = c_List_Olist_ONil(T_b) % 169.26/169.05 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 ) % 169.26/169.05 & ( V_xs_2 != c_List_Olist_ONil(T_b) % 169.26/169.05 => 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) ) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_length__transpose__sorted,axiom, % 169.26/169.05 ! [V_xs_2,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b)) % 169.26/169.05 => 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) ) % 169.26/169.05 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b)) % 169.26/169.05 => 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))) ) ) ) ). % 169.26/169.05 % 169.26/169.05 fof(fact_transpose__column__length,axiom, % 169.26/169.05 ! [V_i_2,V_xs_2,T_b] : % 169.26/169.05 ( 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))) % 169.26/169.05 => ( 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))) % 169.26/169.05 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_transpose__transpose,axiom, % 169.26/169.06 ! [V_xs_2,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_transfer__nat__int__list__functions_I2_J,axiom, % 169.26/169.06 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sorted__takeWhile,axiom, % 169.26/169.06 ! [V_Pa_2,V_xs_2,T_b] : % 169.26/169.06 ( class_Orderings_Olinorder(T_b) % 169.26/169.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 169.26/169.06 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_length__takeWhile__le,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__eq__all__conv,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2 % 169.26/169.06 <=> ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_set__takeWhileD,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,V_x_2,T_b] : % 169.26/169.06 ( 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)))) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_zip__takeWhile__snd,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_zip__takeWhile__fst,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__map,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__tail,axiom, % 169.26/169.06 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] : % 169.26/169.06 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 => 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile_Osimps_I2_J,axiom, % 169.26/169.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 169.26/169.06 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 => 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)) ) % 169.26/169.06 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile_Osimps_I1_J,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__eq__take,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_distinct__takeWhile,axiom, % 169.26/169.06 ! [V_Pa_2,V_xs_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_return__list__def,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__append1,axiom, % 169.26/169.06 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__nth,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 169.26/169.06 ( 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)))) % 169.26/169.06 => 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_nth__length__takeWhile,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ~ 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))))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__not__last,axiom, % 169.26/169.06 ! [T_b,V_xs_2] : % 169.26/169.06 ( V_xs_2 != c_List_Olist_ONil(T_b) % 169.26/169.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_filter__equals__takeWhile__sorted__rev,axiom, % 169.26/169.06 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( class_Orderings_Olinorder(T_b) % 169.26/169.06 => ( 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))) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_transfer__nat__int__list__return__embed,axiom, % 169.26/169.06 ! [V_l] : % 169.26/169.06 ( c_List_Onat__list(V_l) % 169.26/169.06 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_transfer__nat__int__list__functions_I1_J,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_embed__list__def,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__neq__rev,axiom, % 169.26/169.06 ! [V_x_2,V_xs_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dropWhile__neq__rev,axiom, % 169.26/169.06 ! [V_x_2,V_xs_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__dropWhile__id,axiom, % 169.26/169.06 ! [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 ). % 169.26/169.06 % 169.26/169.06 fof(fact_sorted__dropWhile,axiom, % 169.26/169.06 ! [V_Pa_2,V_xs_2,T_b] : % 169.26/169.06 ( class_Orderings_Olinorder(T_b) % 169.26/169.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 169.26/169.06 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_length__dropWhile__le,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dropWhile__eq__Nil__conv,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b) % 169.26/169.06 <=> ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dropWhile_Osimps_I2_J,axiom, % 169.26/169.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] : % 169.26/169.06 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 => 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) ) % 169.26/169.06 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dropWhile_Osimps_I1_J,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_distinct__dropWhile,axiom, % 169.26/169.06 ! [V_Pa_2,V_xs_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) % 169.26/169.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_hd__dropWhile,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b) % 169.26/169.06 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dropWhile__map,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dropWhile__append1,axiom, % 169.26/169.06 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dropWhile__eq__Cons__conv,axiom, % 169.26/169.06 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( 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) % 169.26/169.06 <=> ( 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)) % 169.26/169.06 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dropWhile__eq__drop,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dropWhile__nth,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b,V_j_2] : % 169.26/169.06 ( 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)))) % 169.26/169.06 => 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)))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_listsum__map__filter,axiom, % 169.26/169.06 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] : % 169.26/169.06 ( class_Groups_Omonoid__add(T_c) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => ( ~ hBOOL(hAPP(V_Pa_2,B_x)) % 169.26/169.06 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sorted__nth__monoI,axiom, % 169.26/169.06 ! [V_xs,T_a] : % 169.26/169.06 ( class_Orderings_Olinorder(T_a) % 169.26/169.06 => ( ! [B_i,B_j] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j)) % 169.26/169.06 => ( 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))) % 169.26/169.06 => 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))) ) ) % 169.26/169.06 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__eq__filter,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( ! [B_x] : % 169.26/169.06 ( 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)))) % 169.26/169.06 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__eq__take__P__nth,axiom, % 169.26/169.06 ! [V_Pa_2,V_xs_2,T_b,V_na_2] : % 169.26/169.06 ( ! [B_i] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_na_2)) % 169.26/169.06 => ( 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))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) % 169.26/169.06 => ( ( 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))) % 169.26/169.06 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) % 169.26/169.06 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_na_2),V_xs_2) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_length__takeWhile__less__P__nth,axiom, % 169.26/169.06 ! [V_xs_2,T_b,V_Pa_2,V_j_2] : % 169.26/169.06 ( ! [B_i] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2)) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) % 169.26/169.06 => ( 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))) % 169.26/169.06 => 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)))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sorted_Osimps,axiom, % 169.26/169.06 ! [V_a_2,T_b] : % 169.26/169.06 ( class_Orderings_Olinorder(T_b) % 169.26/169.06 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2) % 169.26/169.06 <=> ( V_a_2 = c_List_Olist_ONil(T_b) % 169.26/169.06 | ? [B_xs,B_x] : % 169.26/169.06 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs) % 169.26/169.06 & ! [B_xa] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs))) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) % 169.26/169.06 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_List_Oinsert__def,axiom, % 169.26/169.06 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) % 169.26/169.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_not__in__set__insert,axiom, % 169.26/169.06 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_insert__remdups,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_distinct__insert,axiom, % 169.26/169.06 ! [V_x,V_xs,T_a] : % 169.26/169.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs)) % 169.26/169.06 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_in__set__insert,axiom, % 169.26/169.06 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_List_Oset__insert,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_insert__Nil,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_concat__map__maps,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_maps__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_maps__simps_I2_J,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_maps__simps_I1_J,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_distinct__concat,axiom, % 169.26/169.06 ! [V_xs_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2)) % 169.26/169.06 => ( ! [B_ys] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 169.26/169.06 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) ) % 169.26/169.06 => ( ! [B_ys] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 169.26/169.06 => ! [B_zs] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2))) % 169.26/169.06 => ( B_ys != B_zs % 169.26/169.06 => 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)) ) ) ) % 169.26/169.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_measures__lesseq,axiom, % 169.26/169.06 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( hBOOL(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))) % 169.26/169.06 => hBOOL(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)))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_wf__measures,axiom, % 169.26/169.06 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_in__measures_I1_J,axiom, % 169.26/169.06 ! [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))))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_measures__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_measures__less,axiom, % 169.26/169.06 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 => hBOOL(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)))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_in__measures_I2_J,axiom, % 169.26/169.06 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(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)))) % 169.26/169.06 <=> ( 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))) % 169.26/169.06 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2) % 169.26/169.06 & hBOOL(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))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_foldl__apply,axiom, % 169.26/169.06 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] : % 169.26/169.06 ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => 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)) ) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_order__fun_I2_J,axiom, % 169.26/169.06 ! [V_g_2,V_f_2,T_b,T_c] : % 169.26/169.06 ( ( class_Orderings_Oorder(T_c) % 169.26/169.06 & class_Enum_Oenum(T_b) ) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 169.26/169.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 169.26/169.06 & 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)))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_enum__ex__prod__def,axiom, % 169.26/169.06 ! [V_Pa_2,T_b,T_c] : % 169.26/169.06 ( ( class_Enum_Oenum(T_c) % 169.26/169.06 & class_Enum_Oenum(T_b) ) % 169.26/169.06 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2)) % 169.26/169.06 <=> 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))))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_exists__code,axiom, % 169.26/169.06 ! [V_Pa_2,T_b] : % 169.26/169.06 ( class_Enum_Oenum(T_b) % 169.26/169.06 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 169.26/169.06 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_enum__ex,axiom, % 169.26/169.06 ! [V_Pa_2,T_b] : % 169.26/169.06 ( class_Enum_Oenum(T_b) % 169.26/169.06 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) % 169.26/169.06 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_zip__obtain__same__length,axiom, % 169.26/169.06 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] : % 169.26/169.06 ( ( 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)) % 169.26/169.06 => 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)))) ) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_pos__not__random__dseq__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dropWhile__append2,axiom, % 169.26/169.06 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 169.26/169.06 ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 => 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__all2__all__nthI,axiom, % 169.26/169.06 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] : % 169.26/169.06 ( 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) % 169.26/169.06 => ( ! [B_n] : % 169.26/169.06 ( 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))) % 169.26/169.06 => 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))) ) % 169.26/169.06 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_finite__sorted__distinct__unique,axiom, % 169.26/169.06 ! [V_A_2,T_b] : % 169.26/169.06 ( class_Orderings_Olinorder(T_b) % 169.26/169.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.06 => ? [B_x] : % 169.26/169.06 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2 % 169.26/169.06 & c_List_Olinorder__class_Osorted(T_b,B_x) % 169.26/169.06 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x)) % 169.26/169.06 & ! [B_y] : % 169.26/169.06 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2 % 169.26/169.06 & c_List_Olinorder__class_Osorted(T_b,B_y) % 169.26/169.06 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) ) % 169.26/169.06 => B_y = B_x ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_takeWhile__append2,axiom, % 169.26/169.06 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] : % 169.26/169.06 ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_insort__is__Cons,axiom, % 169.26/169.06 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] : % 169.26/169.06 ( class_Orderings_Olinorder(T_c) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) ) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_filter__eq__Cons__iff,axiom, % 169.26/169.06 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] : % 169.26/169.06 ( 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) % 169.26/169.06 <=> ? [B_us,B_vs] : % 169.26/169.06 ( 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)) % 169.26/169.06 & ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 169.26/169.06 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Cons__eq__filter__iff,axiom, % 169.26/169.06 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] : % 169.26/169.06 ( 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) % 169.26/169.06 <=> ? [B_us,B_vs] : % 169.26/169.06 ( 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)) % 169.26/169.06 & ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us))) % 169.26/169.06 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_order__fun_I1_J,axiom, % 169.26/169.06 ! [V_g_2,V_f_2,T_b,T_c] : % 169.26/169.06 ( ( class_Orderings_Oorder(T_c) % 169.26/169.06 & class_Enum_Oenum(T_b) ) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2)) % 169.26/169.06 <=> 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_enum__all,axiom, % 169.26/169.06 ! [V_Pa_2,T_b] : % 169.26/169.06 ( class_Enum_Oenum(T_b) % 169.26/169.06 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) % 169.26/169.06 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_all__code,axiom, % 169.26/169.06 ! [V_Pa_2,T_b] : % 169.26/169.06 ( class_Enum_Oenum(T_b) % 169.26/169.06 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) % 169.26/169.06 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_enum__all__prod__def,axiom, % 169.26/169.06 ! [V_Pa_2,T_b,T_c] : % 169.26/169.06 ( ( class_Enum_Oenum(T_c) % 169.26/169.06 & class_Enum_Oenum(T_b) ) % 169.26/169.06 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2)) % 169.26/169.06 <=> 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))))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ball__nth,axiom, % 169.26/169.06 ! [V_Pa_2,V_xs_2,T_b,V_na_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_na_2))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sorted_OCons,axiom, % 169.26/169.06 ! [V_x_2,V_xs_2,T_b] : % 169.26/169.06 ( class_Orderings_Olinorder(T_b) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) % 169.26/169.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2) % 169.26/169.06 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex__length,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 169.26/169.06 <=> ? [B_n] : % 169.26/169.06 ( 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))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_in__set__conv__decomp,axiom, % 169.26/169.06 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 <=> ? [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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex__simps_I2_J,axiom, % 169.26/169.06 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex__append,axiom, % 169.26/169.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 169.26/169.06 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 169.26/169.06 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex__iff,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 169.26/169.06 <=> ? [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex__rev,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 169.26/169.06 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex__simps_I1_J,axiom, % 169.26/169.06 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 169.26/169.06 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_in__set__conv__decomp__first,axiom, % 169.26/169.06 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 <=> ? [B_ys] : % 169.26/169.06 ( ? [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)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_in__set__conv__decomp__last,axiom, % 169.26/169.06 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 <=> ? [B_ys,B_zs] : % 169.26/169.06 ( 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)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__all__length,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 169.26/169.06 <=> ! [B_n] : % 169.26/169.06 ( 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))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_measure__function__int,axiom, % 169.26/169.06 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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__all__simps_I2_J,axiom, % 169.26/169.06 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__all__append,axiom, % 169.26/169.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) % 169.26/169.06 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 169.26/169.06 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_measure__size,axiom, % 169.26/169.06 ! [T_b] : % 169.26/169.06 ( class_Nat_Osize(T_b) % 169.26/169.06 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_is__measure_Ointros,axiom, % 169.26/169.06 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ). % 169.26/169.06 % 169.26/169.06 fof(fact_is__measure_Oequations,axiom, % 169.26/169.06 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 169.26/169.06 % 169.26/169.06 fof(fact_is__measure_Osimps,axiom, % 169.26/169.06 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__all__iff,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 169.26/169.06 <=> ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_measure__fst,axiom, % 169.26/169.06 ! [T_c,V_f_2,T_b] : % 169.26/169.06 ( c_FunDef_Ois__measure(T_b,V_f_2) % 169.26/169.06 => 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_measure__snd,axiom, % 169.26/169.06 ! [T_c,V_f_2,T_b] : % 169.26/169.06 ( c_FunDef_Ois__measure(T_b,V_f_2) % 169.26/169.06 => 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__all__rev,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2)) % 169.26/169.06 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__all__simps_I1_J,axiom, % 169.26/169.06 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 169.26/169.06 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Ball__set__list__all,axiom, % 169.26/169.06 ! [V_Pa_2,V_xs_2,T_b] : % 169.26/169.06 ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__all__iff__raw,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2) % 169.26/169.06 <=> ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex1__simps_I2_J,axiom, % 169.26/169.06 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) % 169.26/169.06 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 => 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) ) % 169.26/169.06 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_transfer__morphism__int__nat,axiom, % 169.26/169.06 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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex1__simps_I1_J,axiom, % 169.26/169.06 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bool_Osize_I3_J,axiom, % 169.26/169.06 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bool_Osize_I4_J,axiom, % 169.26/169.06 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex1__iff,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 169.26/169.06 <=> ? [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_x)) % 169.26/169.06 & ! [B_y] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 169.26/169.06 => B_y = B_x ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom, % 169.26/169.06 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 169.26/169.06 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.26/169.06 => 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) ) % 169.26/169.06 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_New__DSequence_Opos__decr__bind__def,axiom, % 169.26/169.06 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] : % 169.26/169.06 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.26/169.06 => 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) ) % 169.26/169.06 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_New__DSequence_Oneg__bind__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_New__DSequence_Opos__empty__def,axiom, % 169.26/169.06 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ). % 169.26/169.06 % 169.26/169.06 fof(fact_pos__empty__def,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_neg__bind__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_New__DSequence_Opos__bind__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_neg__map__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_neg__single__def,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_pos__bind__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_New__DSequence_Oneg__single__def,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_pos__map__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_pos__single__def,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_length__splice,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_splice_Osimps_I3_J,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_splice__Nil2,axiom, % 169.26/169.06 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ). % 169.26/169.06 % 169.26/169.06 fof(fact_splice_Osimps_I1_J,axiom, % 169.26/169.06 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ). % 169.26/169.06 % 169.26/169.06 fof(fact_splice_Osimps_I2_J,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_New__DSequence_Opos__single__def,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_acyclicP__converse,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( 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)))) % 169.26/169.06 <=> 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_converse__meet,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_converse__join,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_converse__pred__comp,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_conversep__eq,axiom, % 169.26/169.06 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ). % 169.26/169.06 % 169.26/169.06 fof(fact_conversep__conversep,axiom, % 169.26/169.06 ! [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 ). % 169.26/169.06 % 169.26/169.06 fof(fact_conversep__iff,axiom, % 169.26/169.06 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_conversep_Oequations,axiom, % 169.26/169.06 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2)) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_conversep_Ointros,axiom, % 169.26/169.06 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_conversepD,axiom, % 169.26/169.06 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2)) % 169.26/169.06 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_conversep__noteq,axiom, % 169.26/169.06 ! [V_y_2,V_x_2,T_b] : % 169.26/169.06 ( 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)) % 169.26/169.06 <=> V_x_2 != V_y_2 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_conversep__converse__eq,axiom, % 169.26/169.06 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] : % 169.26/169.06 ( 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)) % 169.26/169.06 <=> 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_,axiom, % 169.26/169.06 ! [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)))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_tl__replicate,axiom, % 169.26/169.06 ! [V_x,T_a,V_n] : % 169.26/169.06 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.06 => 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_replicate__length__filter,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_length__replicate,axiom, % 169.26/169.06 ! [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 ). % 169.26/169.06 % 169.26/169.06 fof(fact_map__replicate__const,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_replicate__app__Cons__same,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_replicate__Suc,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_rev__replicate,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_drop__replicate,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_hd__replicate,axiom, % 169.26/169.06 ! [V_x,T_a,V_n] : % 169.26/169.06 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.06 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_last__replicate,axiom, % 169.26/169.06 ! [V_x,T_a,V_n] : % 169.26/169.06 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.06 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_take__replicate,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_zip__replicate,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Ball__set__replicate,axiom, % 169.26/169.06 ! [V_Pa_2,V_a_2,V_na_2,T_b] : % 169.26/169.06 ( ! [B_x] : % 169.26/169.06 ( 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)))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 169.26/169.06 | V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Bex__set__replicate,axiom, % 169.26/169.06 ! [V_Pa_2,V_a_2,V_na_2,T_b] : % 169.26/169.06 ( ? [B_x] : % 169.26/169.06 ( 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)))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2)) % 169.26/169.06 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_replicate__eq__replicate,axiom, % 169.26/169.06 ! [V_y_2,V_na_2,V_x_2,V_m_2,T_b] : % 169.26/169.06 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_na_2,V_y_2) % 169.26/169.06 <=> ( V_m_2 = V_na_2 % 169.26/169.06 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.06 => V_x_2 = V_y_2 ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_nth__replicate,axiom, % 169.26/169.06 ! [V_x,T_a,V_n,V_i] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n)) % 169.26/169.06 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_replicate__add,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_append__replicate__commute,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_filter__replicate,axiom, % 169.26/169.06 ! [V_na_2,T_b,V_x_2,V_Pa_2] : % 169.26/169.06 ( ( hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 => 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) ) % 169.26/169.06 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2)) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_concat__replicate__trivial,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_replicate__empty,axiom, % 169.26/169.06 ! [V_x_2,V_na_2,T_b] : % 169.26/169.06 ( c_List_Oreplicate(T_b,V_na_2,V_x_2) = c_List_Olist_ONil(T_b) % 169.26/169.06 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_empty__replicate,axiom, % 169.26/169.06 ! [V_x_2,V_na_2,T_b] : % 169.26/169.06 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_na_2,V_x_2) % 169.26/169.06 <=> V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_replicate__0,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_map__replicate,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_in__set__replicate,axiom, % 169.26/169.06 ! [V_y_2,V_na_2,V_x_2,T_b] : % 169.26/169.06 ( 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)))) % 169.26/169.06 <=> ( V_x_2 = V_y_2 % 169.26/169.06 & V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_replicate__append__same,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_map__replicate__trivial,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_set__replicate,axiom, % 169.26/169.06 ! [V_x_2,T_b,V_na_2] : % 169.26/169.06 ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.06 => 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_set__replicate__conv__if,axiom, % 169.26/169.06 ! [V_x_2,T_b,V_na_2] : % 169.26/169.06 ( ( V_na_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.06 => 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)) ) % 169.26/169.06 & ( V_na_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_set__replicate__Suc,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_small__lazy__list_Osimps,axiom, % 169.26/169.06 ! [V_d_2,T_b] : % 169.26/169.06 ( class_Lazy__Sequence_Osmall__lazy(T_b) % 169.26/169.06 => 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)))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_eq__comp__r,axiom, % 169.26/169.06 ! [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 ). % 169.26/169.06 % 169.26/169.06 fof(fact_small__lazy__prod__def,axiom, % 169.26/169.06 ! [V_d,T_b,T_a] : % 169.26/169.06 ( ( class_Lazy__Sequence_Osmall__lazy(T_a) % 169.26/169.06 & class_Lazy__Sequence_Osmall__lazy(T_b) ) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_New__DSequence_Opos__union__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_field__le__epsilon,axiom, % 169.26/169.06 ! [V_y,V_x,T_a] : % 169.26/169.06 ( class_Fields_Olinordered__field(T_a) % 169.26/169.06 => ( ! [B_e] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e)) % 169.26/169.06 => 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))) ) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_pos__union__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_small__lazy_H_Osimps,axiom, % 169.26/169.06 ! [V_i,V_d] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 169.26/169.06 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 169.26/169.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i)) % 169.26/169.06 => 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)))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_small__lazy__int__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_small__lazy_H_Opsimps,axiom, % 169.26/169.06 ! [V_i_2,V_d_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 169.26/169.06 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) ) % 169.26/169.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2)) % 169.26/169.06 => 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)))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence_Osize_I4_J,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact__01,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence_Oinject,axiom, % 169.26/169.06 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] : % 169.26/169.06 ( 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) % 169.26/169.06 <=> ( V_a_2 = V_a_H_2 % 169.26/169.06 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence_Osize_I2_J,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_small__lazy_H_Opinduct,axiom, % 169.26/169.06 ! [V_Pa_2,V_a1_2,V_a0_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( ! [B_d,B_i] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i)) % 169.26/169.06 => 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)))) ) % 169.26/169.06 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) ) % 169.26/169.06 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_size__code,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence__size__code,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_seq__case,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_yieldn__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence_Osimps_I5_J,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_refl__on__INTER,axiom, % 169.26/169.06 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 169.26/169.06 ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 169.26/169.06 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_in__set__member,axiom, % 169.26/169.06 ! [V_xs_2,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_member__rec_I1_J,axiom, % 169.26/169.06 ! [V_y_2,V_xs_2,V_x_2,T_b] : % 169.26/169.06 ( 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)) % 169.26/169.06 <=> ( V_x_2 = V_y_2 % 169.26/169.06 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_member__set,axiom, % 169.26/169.06 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ). % 169.26/169.06 % 169.26/169.06 fof(fact_member__rec_I2_J,axiom, % 169.26/169.06 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_List_Omember__def,axiom, % 169.26/169.06 ! [V_x_2,V_xs_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex1__iff__raw,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) % 169.26/169.06 <=> ? [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_x)) % 169.26/169.06 & ! [B_y] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_y)) ) % 169.26/169.06 => B_y = B_x ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_setsum__UNION__zero,axiom, % 169.26/169.06 ! [V_f_2,V_S_2,T_b,T_c] : % 169.26/169.06 ( class_Groups_Ocomm__monoid__add(T_c) % 169.26/169.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2)) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2)) % 169.26/169.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) ) % 169.26/169.06 => ( ! [B_T1] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2)) % 169.26/169.06 => ! [B_T2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2)) % 169.26/169.06 => ( B_T1 != B_T2 % 169.26/169.06 => ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2)) % 169.26/169.06 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) % 169.26/169.06 => 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) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_THE__default__def,axiom, % 169.26/169.06 ! [V_d_2,T_b,V_Pa_2] : % 169.26/169.06 ( ( ? [B_x] : % 169.26/169.06 ( hBOOL(hAPP(V_Pa_2,B_x)) % 169.26/169.06 & ! [B_y] : % 169.26/169.06 ( hBOOL(hAPP(V_Pa_2,B_y)) % 169.26/169.06 => B_y = B_x ) ) % 169.26/169.06 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ) % 169.26/169.06 & ( ~ ? [B_x] : % 169.26/169.06 ( hBOOL(hAPP(V_Pa_2,B_x)) % 169.26/169.06 & ! [B_y] : % 169.26/169.06 ( hBOOL(hAPP(V_Pa_2,B_y)) % 169.26/169.06 => B_y = B_x ) ) % 169.26/169.06 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_INF2__I,axiom, % 169.26/169.06 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] : % 169.26/169.06 ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.06 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_SUP2__E,axiom, % 169.26/169.06 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] : % 169.26/169.06 ( 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)) % 169.26/169.06 => ~ ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.06 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_finite__maxlen,axiom, % 169.26/169.06 ! [V_M_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2)) % 169.26/169.06 => ? [B_n] : % 169.26/169.06 ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2)) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence_Osize_I1_J,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence_Osize_I3_J,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact__02,axiom, % 169.26/169.06 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence_Osimps_I2_J,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence_Osimps_I3_J,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence_Osimps_I4_J,axiom, % 169.26/169.06 ! [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 ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex__iff__not__all__inverval__int,axiom, % 169.26/169.06 ! [V_j_2,V_i_2,V_Pa_2] : % 169.26/169.06 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 169.26/169.06 <=> ~ 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__all__iff__all__interval__int,axiom, % 169.26/169.06 ! [V_j_2,V_i_2,V_Pa_2] : % 169.26/169.06 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2)) % 169.26/169.06 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_all__interval__int__def,axiom, % 169.26/169.06 ! [V_j_2,V_i_2,V_Pa_2] : % 169.26/169.06 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) % 169.26/169.06 <=> ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_code__numeral_Orecs_I2_J,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Random_Osimps,axiom, % 169.26/169.06 ! [V_size_2,V_g_2,T_b,V_nrandom_2] : % 169.26/169.06 ( ( 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))) % 169.26/169.06 => 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)) ) % 169.26/169.06 & ( ~ 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))) % 169.26/169.06 => 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))))))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_code__numeral_Orecs_I1_J,axiom, % 169.26/169.06 ! [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 ). % 169.26/169.06 % 169.26/169.06 fof(fact_Random__Sequence_Oempty__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Random__Sequence_Osingle__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Random__Sequence_Omap__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_exE__realizer,axiom, % 169.26/169.06 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_Pa_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( ! [B_x,B_y] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x)) % 169.26/169.06 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) ) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Image__Collect__split,axiom, % 169.26/169.06 ! [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)))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lexord__trans,axiom, % 169.26/169.06 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) % 169.26/169.06 => ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__less__than,axiom, % 169.26/169.06 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__lex__prod,axiom, % 169.26/169.06 ! [V_R2_2,T_c,V_R1_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,V_R1_2) % 169.26/169.06 => ( c_Relation_Otrans(T_c,V_R2_2) % 169.26/169.06 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__def,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 <=> ! [B_x,B_y] : % 169.26/169.06 ( 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)) % 169.26/169.06 => ! [B_z] : % 169.26/169.06 ( 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)) % 169.26/169.06 => 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)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_transD,axiom, % 169.26/169.06 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => ( hBOOL(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)) % 169.26/169.06 => ( 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)) % 169.26/169.06 => hBOOL(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)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__reflclI,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__inv__image,axiom, % 169.26/169.06 ! [V_f_2,T_c,V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__O__subset,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_SUPR__bool__eq,axiom, % 169.26/169.06 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__Int,axiom, % 169.26/169.06 ! [V_s_2,V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => ( c_Relation_Otrans(T_b,V_s_2) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bex__UNIV,axiom, % 169.26/169.06 ! [V_Pa_2,T_b] : % 169.26/169.06 ( ? [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_finite__Collect__bex,axiom, % 169.26/169.06 ! [V_Q_2,T_c,V_A_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.06 => ( 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))))) % 169.26/169.06 <=> ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.06 => 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)))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_listrel__trans,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bex__empty,axiom, % 169.26/169.06 ! [V_Pa_2,T_b] : % 169.26/169.06 ~ ? [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_x)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__converse,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 169.26/169.06 <=> c_Relation_Otrans(T_b,V_r_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lexord__transI,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__finite__psubset,axiom, % 169.26/169.06 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__Id,axiom, % 169.26/169.06 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__Id__on,axiom, % 169.26/169.06 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trancl__id,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__trancl,axiom, % 169.26/169.06 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__rtrancl,axiom, % 169.26/169.06 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Union__eq,axiom, % 169.26/169.06 ! [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)))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex__iff__raw,axiom, % 169.26/169.06 ! [V_xs_2,V_Pa_2,T_b] : % 169.26/169.06 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) % 169.26/169.06 <=> ? [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Bex__set__list__ex,axiom, % 169.26/169.06 ! [V_Pa_2,V_xs_2,T_b] : % 169.26/169.06 ( ? [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_UN__eq,axiom, % 169.26/169.06 ! [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))))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_INT__eq,axiom, % 169.26/169.06 ! [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))))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Sup__apply,axiom, % 169.26/169.06 ! [V_x_2,V_A_2,T_c,T_b] : % 169.26/169.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.06 => 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)))))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Sup__fun__def,axiom, % 169.26/169.06 ! [V_x_2,V_A_2,T_c,T_b] : % 169.26/169.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.06 => 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)))))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Inf__apply,axiom, % 169.26/169.06 ! [V_x_2,V_A_2,T_c,T_b] : % 169.26/169.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.06 => 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)))))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Inf__fun__def,axiom, % 169.26/169.06 ! [V_x_2,V_A_2,T_c,T_b] : % 169.26/169.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b) % 169.26/169.06 => 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)))))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_max__extp_Ointros,axiom, % 169.26/169.06 ! [V_R_2,V_Y_2,V_X_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) % 169.26/169.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2)) % 169.26/169.06 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2)) % 169.26/169.06 => ? [B_xa] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2)) % 169.26/169.06 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) % 169.26/169.06 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_transp__def,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Predicate_Otransp(T_b,V_r_2) % 169.26/169.06 <=> 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_transpE,axiom, % 169.26/169.06 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] : % 169.26/169.06 ( c_Predicate_Otransp(T_b,V_r_2) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2)) % 169.26/169.06 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_equivpE,axiom, % 169.26/169.06 ! [V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 169.26/169.06 => ~ ( c_Predicate_Oreflp(T_b,V_R_2) % 169.26/169.06 => ( c_Predicate_Osymp(T_b,V_R_2) % 169.26/169.06 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_equivpI,axiom, % 169.26/169.06 ! [V_R_2,T_b] : % 169.26/169.06 ( c_Predicate_Oreflp(T_b,V_R_2) % 169.26/169.06 => ( c_Predicate_Osymp(T_b,V_R_2) % 169.26/169.06 => ( c_Predicate_Otransp(T_b,V_R_2) % 169.26/169.06 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sympE,axiom, % 169.26/169.06 ! [V_y_2,V_x_2,V_r_2,T_b] : % 169.26/169.06 ( c_Predicate_Osymp(T_b,V_r_2) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2)) % 169.26/169.06 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_equivp__reflp__symp__transp,axiom, % 169.26/169.06 ! [V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 169.26/169.06 <=> ( c_Predicate_Oreflp(T_b,V_R_2) % 169.26/169.06 & c_Predicate_Osymp(T_b,V_R_2) % 169.26/169.06 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_max__extp_Osimps,axiom, % 169.26/169.06 ! [V_a2_2,V_a1_2,V_R_2,T_b] : % 169.26/169.06 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2) % 169.26/169.06 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2)) % 169.26/169.06 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2)) % 169.26/169.06 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) % 169.26/169.06 & ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2)) % 169.26/169.06 => ? [B_xa] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2)) % 169.26/169.06 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_trans__diff__Id,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => ( c_Relation_Oantisym(T_b,V_r_2) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_antisym__Id__on,axiom, % 169.26/169.06 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_antisym__subset,axiom, % 169.26/169.06 ! [V_s_2,V_r_2,T_b] : % 169.26/169.06 ( 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)) % 169.26/169.06 => ( c_Relation_Oantisym(T_b,V_s_2) % 169.26/169.06 => c_Relation_Oantisym(T_b,V_r_2) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_antisym__Id,axiom, % 169.26/169.06 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_antisym__empty,axiom, % 169.26/169.06 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_antisym__converse,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 169.26/169.06 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_antisym__def,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Oantisym(T_b,V_r_2) % 169.26/169.06 <=> ! [B_x,B_y] : % 169.26/169.06 ( 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)) % 169.26/169.06 => ( 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)) % 169.26/169.06 => B_x = B_y ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_antisymD,axiom, % 169.26/169.06 ! [V_b_2,V_a_2,V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Oantisym(T_b,V_r_2) % 169.26/169.06 => ( hBOOL(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)) % 169.26/169.06 => ( 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)) % 169.26/169.06 => V_a_2 = V_b_2 ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_antisym__reflcl,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> c_Relation_Oantisym(T_b,V_r_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_acyclic__impl__antisym__rtrancl,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Wellfounded_Oacyclic(T_b,V_r_2) % 169.26/169.06 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_fun__lub__def,axiom, % 169.26/169.06 ! [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)))))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__trans__comp__subset,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 => ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__def,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 <=> ! [B_x,B_y] : % 169.26/169.06 ( 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)) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_symD,axiom, % 169.26/169.06 ! [V_b_2,V_a_2,V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 => ( hBOOL(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)) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__inv__image,axiom, % 169.26/169.06 ! [V_f_2,T_c,V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__Un__converse,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__Int,axiom, % 169.26/169.06 ! [V_s_2,V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 => ( c_Relation_Osym(T_b,V_s_2) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_listrel__sym,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__conv__converse__eq,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__converse,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) % 169.26/169.06 <=> c_Relation_Osym(T_b,V_r_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__Id,axiom, % 169.26/169.06 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__Un,axiom, % 169.26/169.06 ! [V_s_2,V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 => ( c_Relation_Osym(T_b,V_s_2) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__Id__on,axiom, % 169.26/169.06 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__trancl,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__rtrancl,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_sym__Int__converse,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_equivE,axiom, % 169.26/169.06 ! [V_r_2,V_A_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.26/169.06 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.06 => ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_equivI,axiom, % 169.26/169.06 ! [V_r_2,V_A_2,T_b] : % 169.26/169.06 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.06 => ( c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 => ( c_Relation_Otrans(T_b,V_r_2) % 169.26/169.06 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_equiv__def,axiom, % 169.26/169.06 ! [V_r_2,V_A_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.26/169.06 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2) % 169.26/169.06 & c_Relation_Osym(T_b,V_r_2) % 169.26/169.06 & c_Relation_Otrans(T_b,V_r_2) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_symp__def,axiom, % 169.26/169.06 ! [V_r_2,T_b] : % 169.26/169.06 ( c_Predicate_Osymp(T_b,V_r_2) % 169.26/169.06 <=> 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_part__equivpI,axiom, % 169.26/169.06 ! [T_b,V_R_2] : % 169.26/169.06 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 169.26/169.06 => ( c_Predicate_Osymp(T_b,V_R_2) % 169.26/169.06 => ( c_Predicate_Otransp(T_b,V_R_2) % 169.26/169.06 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_part__equivp__refl__symp__transp,axiom, % 169.26/169.06 ! [V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 169.26/169.06 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 169.26/169.06 & c_Predicate_Osymp(T_b,V_R_2) % 169.26/169.06 & c_Predicate_Otransp(T_b,V_R_2) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_equivp__implies__part__equivp,axiom, % 169.26/169.06 ! [V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 169.26/169.06 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_part__equivp__transp,axiom, % 169.26/169.06 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2)) % 169.26/169.06 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_part__equivp__symp,axiom, % 169.26/169.06 ! [V_y_2,V_x_2,V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2)) % 169.26/169.06 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_part__equivp__def,axiom, % 169.26/169.06 ! [V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 169.26/169.06 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 169.26/169.06 & ! [B_x,B_y] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y)) % 169.26/169.06 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 169.26/169.06 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y)) % 169.26/169.06 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_part__equivpE,axiom, % 169.26/169.06 ! [V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 169.26/169.06 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x)) % 169.26/169.06 => ( c_Predicate_Osymp(T_b,V_R_2) % 169.26/169.06 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_part__equivp__typedef,axiom, % 169.26/169.06 ! [V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2) % 169.26/169.06 => ? [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))))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inj__iff,axiom, % 169.26/169.06 ! [V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.06 <=> 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__o__cancel,axiom, % 169.26/169.06 ! [V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.06 => 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__into__image__cancel,axiom, % 169.26/169.06 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2)) % 169.26/169.06 => 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 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inj__on__inv__into,axiom, % 169.26/169.06 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inj__imp__surj__inv,axiom, % 169.26/169.06 ! [V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_image__inv__f__f,axiom, % 169.26/169.06 ! [V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.06 => 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 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__image__comp,axiom, % 169.26/169.06 ! [V_X_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.06 => 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 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_surj__imp__inj__inv,axiom, % 169.26/169.06 ! [V_f_2,T_b,T_c] : % 169.26/169.06 ( 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)) % 169.26/169.06 => 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_image__inv__into__cancel,axiom, % 169.26/169.06 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] : % 169.26/169.06 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2 % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2)) % 169.26/169.06 => 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 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_image__surj__f__inv__f,axiom, % 169.26/169.06 ! [V_A_2,V_f_2,T_b,T_c] : % 169.26/169.06 ( 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)) % 169.26/169.06 => 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 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_surj__f__inv__f,axiom, % 169.26/169.06 ! [V_y_2,V_f_2,T_b,T_c] : % 169.26/169.06 ( 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)) % 169.26/169.06 => 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 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_surj__iff__all,axiom, % 169.26/169.06 ! [V_f_2,T_b,T_c] : % 169.26/169.06 ( 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)) % 169.26/169.06 <=> ! [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 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__into__injective,axiom, % 169.26/169.06 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] : % 169.26/169.06 ( 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) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) % 169.26/169.06 => V_x_2 = V_y_2 ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__into__into,axiom, % 169.26/169.06 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_f__inv__into__f,axiom, % 169.26/169.06 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) % 169.26/169.06 => 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 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__into__f__f,axiom, % 169.26/169.06 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.06 => 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 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__into__f__eq,axiom, % 169.26/169.06 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) % 169.26/169.06 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 169.26/169.06 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__f__f,axiom, % 169.26/169.06 ! [V_x_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.06 => 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 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__f__eq,axiom, % 169.26/169.06 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.06 => ( hAPP(V_f_2,V_x_2) = V_y_2 % 169.26/169.06 => 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 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__id,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__into__def,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_o__inv__o__cancel,axiom, % 169.26/169.06 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.06 => 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 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__into__comp,axiom, % 169.26/169.06 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] : % 169.26/169.06 ( 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)) % 169.26/169.06 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2) % 169.26/169.06 => ( 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)))) % 169.26/169.06 => 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) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_surj__iff,axiom, % 169.26/169.06 ! [V_f_2,T_b,T_c] : % 169.26/169.06 ( 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)) % 169.26/169.06 <=> 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inj__transfer,axiom, % 169.26/169.06 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.06 => ( ! [B_y] : % 169.26/169.06 ( 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))))) % 169.26/169.06 => 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))) ) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_fold__image__UN__disjoint,axiom, % 169.26/169.06 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] : % 169.26/169.06 ( class_Groups_Ocomm__monoid__mult(T_d) % 169.26/169.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2)) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 169.26/169.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) ) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2)) % 169.26/169.06 => ! [B_xa] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2)) % 169.26/169.06 => ( B_x != B_xa % 169.26/169.06 => 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)) ) ) ) % 169.26/169.06 => 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) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_nat__of__induct,axiom, % 169.26/169.06 ! [V_Pa_2,V_y_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 169.26/169.06 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_nat__of__cases,axiom, % 169.26/169.06 ! [V_y_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 169.26/169.06 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_of__nat__induct,axiom, % 169.26/169.06 ! [V_x_2,V_Pa_2] : % 169.26/169.06 ( ! [B_y] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) ) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_of__nat__cases,axiom, % 169.26/169.06 ! [V_x_2] : % 169.26/169.06 ~ ! [B_y] : % 169.26/169.06 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y) % 169.26/169.06 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence_Orecs_I1_J,axiom, % 169.26/169.06 ! [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 ). % 169.26/169.06 % 169.26/169.06 fof(fact_beyond__def,axiom, % 169.26/169.06 ! [V_l,V_k] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 169.26/169.06 => c_Quickcheck_Obeyond(V_k,V_l) = V_l ) % 169.26/169.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l)) % 169.26/169.06 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_beyond__zero,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_lazy__sequence_Orecs_I2_J,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__image__Collect__eq,axiom, % 169.26/169.06 ! [V_Pa_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_curry__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_curryI,axiom, % 169.26/169.06 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] : % 169.26/169.06 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__id,axiom, % 169.26/169.06 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__inv__eq,axiom, % 169.26/169.06 ! [V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => 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 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__imp__bij__inv,axiom, % 169.26/169.06 ! [V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inv__into__inv__into__eq,axiom, % 169.26/169.06 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__inv__into,axiom, % 169.26/169.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 169.26/169.06 => 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_o__inv__distrib,axiom, % 169.26/169.06 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( 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))) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__comp__iff2,axiom, % 169.26/169.06 ! [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] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2) % 169.26/169.06 => ( 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)) % 169.26/169.06 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2) % 169.26/169.06 <=> 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) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__comp,axiom, % 169.26/169.06 ! [V_g_2,T_d,V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( 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))) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__trans,axiom, % 169.26/169.06 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 169.26/169.06 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__comp__iff,axiom, % 169.26/169.06 ! [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] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 169.26/169.06 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2) % 169.26/169.06 <=> 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_curryE,axiom, % 169.26/169.06 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 169.26/169.06 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_curryD,axiom, % 169.26/169.06 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) % 169.26/169.06 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_curry__conv,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__image__Compl__eq,axiom, % 169.26/169.06 ! [V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_finite__vimage__iff,axiom, % 169.26/169.06 ! [V_F_2,V_h_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2))) % 169.26/169.06 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__combine,axiom, % 169.26/169.06 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 169.26/169.06 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2) % 169.26/169.06 => ( 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)) % 169.26/169.06 => 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)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__Disj__Un,axiom, % 169.26/169.06 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] : % 169.26/169.06 ( 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)) % 169.26/169.06 => ( 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)) % 169.26/169.06 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 169.26/169.06 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) % 169.26/169.06 => 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)) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__id,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__id__iff,axiom, % 169.26/169.06 ! [V_B_2,V_A_2,T_b] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2) % 169.26/169.06 <=> V_A_2 = V_B_2 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_BIJ,axiom, % 169.26/169.06 ! [V_B_2,T_c,V_A_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) % 169.26/169.06 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2) % 169.26/169.06 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__finite,axiom, % 169.26/169.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 169.26/169.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.06 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__empty1,axiom, % 169.26/169.06 ! [V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( 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) % 169.26/169.06 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__empty2,axiom, % 169.26/169.06 ! [V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__same__card,axiom, % 169.26/169.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 169.26/169.06 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__the__inv__into,axiom, % 169.26/169.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 169.26/169.06 => 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__is__inj,axiom, % 169.26/169.06 ! [V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__imp__inj__on,axiom, % 169.26/169.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 169.26/169.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inj__on__imp__bij__betw,axiom, % 169.26/169.06 ! [V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__def,axiom, % 169.26/169.06 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2) % 169.26/169.06 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.06 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__imp__surj,axiom, % 169.26/169.06 ! [V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__is__surj,axiom, % 169.26/169.06 ! [V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__betw__subset,axiom, % 169.26/169.06 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.26/169.06 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2 % 169.26/169.06 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bijI,axiom, % 169.26/169.06 ! [V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.06 => ( 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)) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__def,axiom, % 169.26/169.06 ! [V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) % 169.26/169.06 & 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_split__curry,axiom, % 169.26/169.06 ! [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 ). % 169.26/169.06 % 169.26/169.06 fof(fact_curry__split,axiom, % 169.26/169.06 ! [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 ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__image__INT,axiom, % 169.26/169.06 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_vimage__subset__eq,axiom, % 169.26/169.06 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( 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)) % 169.26/169.06 <=> 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bij__vimage__eq__inv__image,axiom, % 169.26/169.06 ! [V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_ex__bij__betw__nat__finite__1,axiom, % 169.26/169.06 ! [V_M_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 169.26/169.06 => ? [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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Cantor__Bernstein,axiom, % 169.26/169.06 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) % 169.26/169.06 => ( 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)) % 169.26/169.06 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2) % 169.26/169.06 => ( 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)) % 169.26/169.06 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_ex__bij__betw__nat__finite,axiom, % 169.26/169.06 ! [V_M_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 169.26/169.06 => ? [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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_ex__bij__betw__finite__nat,axiom, % 169.26/169.06 ! [V_M_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2)) % 169.26/169.06 => ? [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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_refl__on__UNION,axiom, % 169.26/169.06 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] : % 169.26/169.06 ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2)) % 169.26/169.06 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) ) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bex__reg__eqv,axiom, % 169.26/169.06 ! [V_Pa_2,V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 169.26/169.06 => ( ? [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Respects__def,axiom, % 169.26/169.06 ! [V_x_2,V_R_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2)) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_in__respects,axiom, % 169.26/169.06 ! [V_R_2,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2))) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_bex__reg__right,axiom, % 169.26/169.06 ! [V_Pa_2,V_Q_2,V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(V_Q_2,B_x)) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) % 169.26/169.06 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1)) % 169.26/169.06 => ? [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_babs__reg__eqv,axiom, % 169.26/169.06 ! [V_Pa_2,T_c,V_R_2,T_b] : % 169.26/169.06 ( c_Equiv__Relations_Oequivp(T_b,V_R_2) % 169.26/169.06 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_Babs__def,axiom, % 169.26/169.06 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2)) % 169.26/169.06 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_wf__weak__decr__stable,axiom, % 169.26/169.06 ! [V_r_2,V_f_2,T_b] : % 169.26/169.06 ( ! [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))) % 169.26/169.06 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) % 169.26/169.06 => ? [B_i] : % 169.26/169.06 ! [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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_INT__greatest,axiom, % 169.26/169.06 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : % 169.26/169.06 ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.06 => 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))) ) % 169.26/169.06 => 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_INT__anti__mono,axiom, % 169.26/169.06 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) % 169.26/169.06 => 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))) ) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_rtrancl__induct2,axiom, % 169.26/169.06 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) % 169.26/169.06 => ( ! [B_a,B_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ! [B_aa,B_ba] : % 169.26/169.06 ( 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)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) % 169.26/169.06 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) ) % 169.26/169.06 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_converse__rtranclE2,axiom, % 169.26/169.06 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( 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) % 169.26/169.06 => ~ ! [B_a,B_b] : % 169.26/169.06 ( 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)) % 169.26/169.06 => ~ 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))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_converse__rtrancl__induct2,axiom, % 169.26/169.06 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) % 169.26/169.06 => ( ! [B_a,B_b,B_aa,B_ba] : % 169.26/169.06 ( 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)) % 169.26/169.06 => ( 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))) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) % 169.26/169.06 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) ) % 169.26/169.06 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_congruent2I_H,axiom, % 169.26/169.06 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] : % 169.26/169.06 ( ! [B_y1,B_z1] : % 169.26/169.06 ( 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)) % 169.26/169.06 => ! [B_y2,B_z2] : % 169.26/169.06 ( 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)) % 169.26/169.06 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) ) % 169.26/169.06 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_congruentI,axiom, % 169.26/169.06 ! [T_c,V_f_2,V_r_2,T_b] : % 169.26/169.06 ( ! [B_y,B_z] : % 169.26/169.06 ( 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)) % 169.26/169.06 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) ) % 169.26/169.06 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact__03,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__all__iff__all__interval__nat,axiom, % 169.26/169.06 ! [V_j_2,V_i_2,V_Pa_2] : % 169.26/169.06 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 169.26/169.06 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact__04,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_all__interval__nat__def,axiom, % 169.26/169.06 ! [V_j_2,V_i_2,V_Pa_2] : % 169.26/169.06 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) % 169.26/169.06 <=> ! [B_x] : % 169.26/169.06 ( 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))) % 169.26/169.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_list__ex__iff__not__all__inverval__nat,axiom, % 169.26/169.06 ! [V_j_2,V_i_2,V_Pa_2] : % 169.26/169.06 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2)) % 169.26/169.06 <=> ~ 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) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact__05,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_folding__image_Ocong,axiom, % 169.26/169.06 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] : % 169.26/169.06 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2) % 169.26/169.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) % 169.26/169.06 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) ) % 169.26/169.06 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact__06,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact__07,axiom, % 169.26/169.06 ! [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) ). % 169.26/169.06 % 169.26/169.06 fof(fact_New__DSequence_Opos__map__def,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_power__dvd__imp__le,axiom, % 169.26/169.06 ! [V_n,V_m,V_i] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oorder__refl,axiom, % 169.26/169.06 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__0__right,axiom, % 169.26/169.06 ! [V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__1__left,axiom, % 169.26/169.06 ! [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)) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__imp__le,axiom, % 169.26/169.06 ! [V_n,V_k] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mult__cancel,axiom, % 169.26/169.06 ! [V_n,V_m,V_k] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_nat__mult__dvd__cancel1,axiom, % 169.26/169.06 ! [V_na_2,V_m_2,V_k_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) % 169.26/169.06 => ( 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))) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_setprod__dvd__setprod__subset,axiom, % 169.26/169.06 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] : % 169.26/169.06 ( ( class_Groups_Ocomm__monoid__mult(T_c) % 169.26/169.06 & class_Rings_Odvd(T_c) ) % 169.26/169.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) % 169.26/169.06 => 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))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__eq__mod__eq__0__number__of,axiom, % 169.26/169.06 ! [V_y_2,V_x_2,T_b] : % 169.26/169.06 ( ( class_Divides_Osemiring__div(T_b) % 169.26/169.06 & class_Int_Onumber(T_b) ) % 169.26/169.06 => ( 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))) % 169.26/169.06 <=> 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__div__eq__mult,axiom, % 169.26/169.06 ! [V_c_2,V_b_2,V_a_2,T_b] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_b) % 169.26/169.06 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 169.26/169.06 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2 % 169.26/169.06 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__div__div__eq__mult,axiom, % 169.26/169.06 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_b) % 169.26/169.06 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.26/169.06 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2)) % 169.26/169.06 => ( 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) % 169.26/169.06 <=> 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) ) ) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__diffD1,axiom, % 169.26/169.06 ! [V_n,V_m,V_k] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__diffD,axiom, % 169.26/169.06 ! [V_n,V_m,V_k] : % 169.26/169.06 ( 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))) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeastatMost__subset__iff,axiom, % 169.26/169.06 ! [V_d_2,V_c_2,V_b_2,V_a_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 169.26/169.06 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 169.26/169.06 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_le__imp__power__dvd,axiom, % 169.26/169.06 ! [V_a,V_n,V_m,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__power__le,axiom, % 169.26/169.06 ! [V_m,V_n,V_y,V_x,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) % 169.26/169.06 => 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))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_power__le__dvd,axiom, % 169.26/169.06 ! [V_m,V_b,V_n,V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( 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)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) % 169.26/169.06 => 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)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatMost__iff,axiom, % 169.26/169.06 ! [V_k_2,V_i_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeast__iff,axiom, % 169.26/169.06 ! [V_k_2,V_i_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OgreaterThan__iff,axiom, % 169.26/169.06 ! [V_k_2,V_i_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OlessThan__iff,axiom, % 169.26/169.06 ! [V_k_2,V_i_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_div__power,axiom, % 169.26/169.06 ! [V_n,V_x,V_y,T_a] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__if__abs__eq,axiom, % 169.26/169.06 ! [V_k,V_l,T_a] : % 169.26/169.06 ( class_Rings_Olinordered__idom(T_a) % 169.26/169.06 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_abs__dvd__iff,axiom, % 169.26/169.06 ! [V_k_2,V_m_2,T_b] : % 169.26/169.06 ( class_Rings_Olinordered__idom(T_b) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2)) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__abs__iff,axiom, % 169.26/169.06 ! [V_k_2,V_m_2,T_b] : % 169.26/169.06 ( class_Rings_Olinordered__idom(T_b) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2))) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_nat__dvd__1__iff__1,axiom, % 169.26/169.06 ! [V_m_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))) % 169.26/169.06 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_one__dvd,axiom, % 169.26/169.06 ! [V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__0__left,axiom, % 169.26/169.06 ! [V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) % 169.26/169.06 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__trans,axiom, % 169.26/169.06 ! [V_c,V_b,V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__refl,axiom, % 169.26/169.06 ! [V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oless__asym,axiom, % 169.26/169.06 ! [V_y,V_x] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 169.26/169.06 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oless__trans,axiom, % 169.26/169.06 ! [V_z,V_y,V_x] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 169.26/169.06 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) ) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oless__asym_H,axiom, % 169.26/169.06 ! [V_b,V_a] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) % 169.26/169.06 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oless__le__trans,axiom, % 169.26/169.06 ! [V_z,V_y,V_x] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oord__less__eq__trans,axiom, % 169.26/169.06 ! [V_c,V_b,V_a] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) % 169.26/169.06 => ( V_b = V_c % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oless__imp__not__eq2,axiom, % 169.26/169.06 ! [V_y,V_x] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 169.26/169.06 => V_y != V_x ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oless__imp__not__eq,axiom, % 169.26/169.06 ! [V_y,V_x] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 169.26/169.06 => V_x != V_y ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oless__imp__not__less,axiom, % 169.26/169.06 ! [V_y,V_x] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 169.26/169.06 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oless__imp__le,axiom, % 169.26/169.06 ! [V_y,V_x] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oless__not__sym,axiom, % 169.26/169.06 ! [V_y,V_x] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 169.26/169.06 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oless__imp__neq,axiom, % 169.26/169.06 ! [V_y,V_x] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 169.26/169.06 => V_x != V_y ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Ole__less__trans,axiom, % 169.26/169.06 ! [V_z,V_y,V_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) ) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oord__eq__less__trans,axiom, % 169.26/169.06 ! [V_c,V_b,V_a] : % 169.26/169.06 ( V_a = V_b % 169.26/169.06 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) ) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oorder__trans,axiom, % 169.26/169.06 ! [V_z,V_y,V_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oantisym,axiom, % 169.26/169.06 ! [V_y,V_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) % 169.26/169.06 => V_x = V_y ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__antisym,axiom, % 169.26/169.06 ! [V_n,V_m] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) % 169.26/169.06 => V_m = V_n ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oord__le__eq__trans,axiom, % 169.26/169.06 ! [V_c,V_b,V_a] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 169.26/169.06 => ( V_b = V_c % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oord__eq__le__trans,axiom, % 169.26/169.06 ! [V_c,V_b,V_a] : % 169.26/169.06 ( V_a = V_b % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Ole__neq__trans,axiom, % 169.26/169.06 ! [V_b,V_a] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 169.26/169.06 => ( V_a != V_b % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Ole__imp__less__or__eq,axiom, % 169.26/169.06 ! [V_y,V_x] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) ) % 169.26/169.06 | V_x = V_y ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oantisym__conv,axiom, % 169.26/169.06 ! [V_x_2,V_y_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 169.26/169.06 <=> V_x_2 = V_y_2 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oeq__refl,axiom, % 169.26/169.06 ! [V_y,V_x] : % 169.26/169.06 ( V_x = V_y % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oneq__le__trans,axiom, % 169.26/169.06 ! [V_b,V_a] : % 169.26/169.06 ( V_a != V_b % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oless__le,axiom, % 169.26/169.06 ! [V_y_2,V_x_2] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 169.26/169.06 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 169.26/169.06 & V_x_2 != V_y_2 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Ole__less,axiom, % 169.26/169.06 ! [V_y_2,V_x_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 169.26/169.06 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 169.26/169.06 | V_x_2 = V_y_2 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Oeq__iff,axiom, % 169.26/169.06 ! [V_y_2,V_x_2] : % 169.26/169.06 ( V_x_2 = V_y_2 % 169.26/169.06 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 169.26/169.06 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_div__dvd__div,axiom, % 169.26/169.06 ! [V_c_2,V_b_2,V_a_2,T_b] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_b) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2)) % 169.26/169.06 => ( 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))) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__power__same,axiom, % 169.26/169.06 ! [V_n,V_y,V_x,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mod__iff,axiom, % 169.26/169.06 ! [V_m_2,V_na_2,V_k_2,T_b] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_b) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_na_2)) % 169.26/169.06 => ( 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))) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_mod__mod__cancel,axiom, % 169.26/169.06 ! [V_a,V_b,V_c,T_a] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mod,axiom, % 169.26/169.06 ! [V_n,V_m,V_k,T_a] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mod__imp__dvd,axiom, % 169.26/169.06 ! [V_n,V_m,V_k,T_a] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_minus__dvd__iff,axiom, % 169.26/169.06 ! [V_y_2,V_x_2,T_b] : % 169.26/169.06 ( class_Rings_Ocomm__ring__1(T_b) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2)) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__minus__iff,axiom, % 169.26/169.06 ! [V_y_2,V_x_2,T_b] : % 169.26/169.06 ( class_Rings_Ocomm__ring__1(T_b) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2))) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__diff,axiom, % 169.26/169.06 ! [V_z,V_y,V_x,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__ring__1(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z)) % 169.26/169.06 => 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))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__diff__nat,axiom, % 169.26/169.06 ! [V_n,V_m,V_k] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__eq__mod__eq__0,axiom, % 169.26/169.06 ! [V_b_2,V_a_2,T_b] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_b) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) % 169.26/169.06 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__imp__mod__0,axiom, % 169.26/169.06 ! [V_b,V_a,T_a] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 169.26/169.06 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__neg__div,axiom, % 169.26/169.06 ! [V_x,V_y,T_a] : % 169.26/169.06 ( class_Divides_Oring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__div__neg,axiom, % 169.26/169.06 ! [V_x,V_y,T_a] : % 169.26/169.06 ( class_Divides_Oring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 169.26/169.06 => 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)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_nat__dvd__not__less,axiom, % 169.26/169.06 ! [V_n,V_m] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) % 169.26/169.06 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__1__iff__1,axiom, % 169.26/169.06 ! [V_m_2] : % 169.26/169.06 ( 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)))) % 169.26/169.06 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_div__add,axiom, % 169.26/169.06 ! [V_y,V_x,V_z,T_a] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y)) % 169.26/169.06 => 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)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__reduce,axiom, % 169.26/169.06 ! [V_na_2,V_k_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_na_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__add,axiom, % 169.26/169.06 ! [V_c,V_b,V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 169.26/169.06 => 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))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom, % 169.26/169.06 ! [V_d_2,V_c_2,V_b_2,V_a_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 169.26/169.06 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 169.26/169.06 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) % 169.26/169.06 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) ) % 169.26/169.06 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) ) % 169.26/169.06 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeastatMost__empty,axiom, % 169.26/169.06 ! [V_a_2,V_b_2] : % 169.26/169.06 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeastatMost__empty__iff,axiom, % 169.26/169.06 ! [V_b_2,V_a_2] : % 169.26/169.06 ( 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)) % 169.26/169.06 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom, % 169.26/169.06 ! [V_b_2,V_a_2] : % 169.26/169.06 ( 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) % 169.26/169.06 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom, % 169.26/169.06 ! [V_b_2,V_a_2] : % 169.26/169.06 ( 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) % 169.26/169.06 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom, % 169.26/169.06 ! [V_l_2,V_k_2] : % 169.26/169.06 ( 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) % 169.26/169.06 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom, % 169.26/169.06 ! [V_b_2,V_a_2] : % 169.26/169.06 ( 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)) % 169.26/169.06 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom, % 169.26/169.06 ! [V_l_2,V_k_2] : % 169.26/169.06 ( 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)) % 169.26/169.06 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OgreaterThanLessThan__empty,axiom, % 169.26/169.06 ! [V_k_2,V_l_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeastLessThan__empty,axiom, % 169.26/169.06 ! [V_a_2,V_b_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OgreaterThanAtMost__empty,axiom, % 169.26/169.06 ! [V_k_2,V_l_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) % 169.26/169.06 => 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)) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom, % 169.26/169.06 ! [V_c_2,V_b_2,V_a_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> ( V_a_2 = V_b_2 % 169.26/169.06 & V_b_2 = V_c_2 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeastAtMost__singleton,axiom, % 169.26/169.06 ! [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))) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom, % 169.26/169.06 ! [V_b_2,V_a_2] : % 169.26/169.06 ( V_a_2 = V_b_2 % 169.26/169.06 => 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inf__period_I4_J,axiom, % 169.26/169.06 ! [V_t_2,V_D_2,V_d_2,T_b] : % 169.26/169.06 ( ( class_Rings_Ocomm__ring(T_b) % 169.26/169.06 & class_Rings_Odvd(T_b) ) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 169.26/169.06 => ! [B_x,B_k] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> 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))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_inf__period_I3_J,axiom, % 169.26/169.06 ! [V_t_2,V_D_2,V_d_2,T_b] : % 169.26/169.06 ( ( class_Rings_Ocomm__ring(T_b) % 169.26/169.06 & class_Rings_Odvd(T_b) ) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2)) % 169.26/169.06 => ! [B_x,B_k] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> 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))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_nat__mult__dvd__cancel__disj,axiom, % 169.26/169.06 ! [V_na_2,V_m_2,V_k_2] : % 169.26/169.06 ( 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))) % 169.26/169.06 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 169.26/169.06 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_na_2)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_div__mult__div__if__dvd,axiom, % 169.26/169.06 ! [V_w,V_z,V_x,V_y,T_a] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w)) % 169.26/169.06 => 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)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__div__mult,axiom, % 169.26/169.06 ! [V_c,V_b,V_a,T_a] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__div__mult__self,axiom, % 169.26/169.06 ! [V_b,V_a,T_a] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 169.26/169.06 => 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 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_div__mult__swap,axiom, % 169.26/169.06 ! [V_a,V_b,V_c,T_a] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b)) % 169.26/169.06 => 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) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mult__div__cancel,axiom, % 169.26/169.06 ! [V_b,V_a,T_a] : % 169.26/169.06 ( class_Divides_Osemiring__div(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 169.26/169.06 => 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 ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mult__right,axiom, % 169.26/169.06 ! [V_c,V_b,V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( 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)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mult__left,axiom, % 169.26/169.06 ! [V_c,V_b,V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( 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)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvdI,axiom, % 169.26/169.06 ! [V_k,V_b,V_a,T_a] : % 169.26/169.06 ( class_Rings_Odvd(T_a) % 169.26/169.06 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_mult__dvd__mono,axiom, % 169.26/169.06 ! [V_d,V_c,V_b,V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d)) % 169.26/169.06 => 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))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mult,axiom, % 169.26/169.06 ! [V_b,V_c,V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mult2,axiom, % 169.26/169.06 ! [V_c,V_b,V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__triv__right,axiom, % 169.26/169.06 ! [V_b,V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__triv__left,axiom, % 169.26/169.06 ! [V_b,V_a,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => 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))) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mult__cancel__right,axiom, % 169.26/169.06 ! [V_b_2,V_c_2,V_a_2,T_b] : % 169.26/169.06 ( class_Rings_Oidom(T_b) % 169.26/169.06 => ( 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))) % 169.26/169.06 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 169.26/169.06 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mult__cancel__left,axiom, % 169.26/169.06 ! [V_b_2,V_a_2,V_c_2,T_b] : % 169.26/169.06 ( class_Rings_Oidom(T_b) % 169.26/169.06 => ( 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))) % 169.26/169.06 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b) % 169.26/169.06 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_unity__coeff__ex,axiom, % 169.26/169.06 ! [V_l_2,V_Pa_2,T_b] : % 169.26/169.06 ( ( class_Rings_Odvd(T_b) % 169.26/169.06 & class_Rings_Osemiring__0(T_b) ) % 169.26/169.06 => ( ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x))) % 169.26/169.06 <=> ? [B_x] : % 169.26/169.06 ( 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)))) % 169.26/169.06 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__setprod,axiom, % 169.26/169.06 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_c) % 169.26/169.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2)) % 169.26/169.06 => 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))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__power,axiom, % 169.26/169.06 ! [V_x,V_n,T_a] : % 169.26/169.06 ( class_Rings_Ocomm__semiring__1(T_a) % 169.26/169.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) % 169.26/169.06 | V_x = c_Groups_Oone__class_Oone(T_a) ) % 169.26/169.06 => 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))) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mult__cancel1,axiom, % 169.26/169.06 ! [V_na_2,V_m_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 169.26/169.06 => ( 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)) % 169.26/169.06 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd__mult__cancel2,axiom, % 169.26/169.06 ! [V_na_2,V_m_2] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2)) % 169.26/169.06 => ( 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)) % 169.26/169.06 <=> V_na_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_dvd_Ostrict__monoD,axiom, % 169.26/169.06 ! [V_y_2,V_x_2,V_f_2,T_b] : % 169.26/169.06 ( class_Orderings_Oorder(T_b) % 169.26/169.06 => ( 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) % 169.26/169.06 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2)) % 169.26/169.06 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_equiv__imp__dvd__card,axiom, % 169.26/169.06 ! [V_k_2,V_r_2,V_A_2,T_b] : % 169.26/169.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) % 169.26/169.06 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) % 169.26/169.06 => ( ! [B_x] : % 169.26/169.06 ( 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))) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),B_x))) ) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ). % 169.26/169.06 % 169.26/169.06 fof(fact_zdvd__imp__le,axiom, % 169.26/169.06 ! [V_n,V_z] : % 169.26/169.06 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Int_Oint),V_z),V_n)) % 169.26/169.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_n)) % 169.26/169.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_n)) ) ) ). % 169.26/169.06 % 169.26/169.06 %----Arity declarations (220) % 169.26/169.06 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom, % 169.26/169.06 class_Lattices_Obounded__lattice(tc_HOL_Obool) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Lattices_Obounded__lattice,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Lattices_Obounded__lattice(T_1) % 169.26/169.06 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Complete__Lattice_Ocomplete__lattice(T_1) % 169.26/169.06 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Lattices_Obounded__lattice__top,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Lattices_Obounded__lattice(T_1) % 169.26/169.06 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Lattices_Obounded__lattice(T_1) % 169.26/169.06 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Lattices_Osemilattice__sup,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Lattices_Olattice(T_1) % 169.26/169.06 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Lattices_Osemilattice__inf,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Lattices_Olattice(T_1) % 169.26/169.06 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Lattices_Odistrib__lattice,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Lattices_Odistrib__lattice(T_1) % 169.26/169.06 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Lattices_Oboolean__algebra(T_1) % 169.26/169.06 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Orderings_Opreorder,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Orderings_Opreorder(T_1) % 169.26/169.06 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Finite__Set_Ofinite,axiom, % 169.26/169.06 ! [T_1,T_2] : % 169.26/169.06 ( ( class_Finite__Set_Ofinite(T_2) % 169.26/169.06 & class_Finite__Set_Ofinite(T_1) ) % 169.26/169.06 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Lattices_Olattice,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Lattices_Olattice(T_1) % 169.26/169.06 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Orderings_Oorder,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Orderings_Oorder(T_1) % 169.26/169.06 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Orderings_Otop,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Orderings_Otop(T_1) % 169.26/169.06 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Orderings_Oord,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Orderings_Oord(T_1) % 169.26/169.06 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Orderings_Obot,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Orderings_Obot(T_1) % 169.26/169.06 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Groups_Ouminus,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Groups_Ouminus(T_1) % 169.26/169.06 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Groups_Ominus,axiom, % 169.26/169.06 ! [T_2,T_1] : % 169.26/169.06 ( class_Groups_Ominus(T_1) % 169.26/169.06 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_fun__Enum_Oenum,axiom, % 169.26/169.06 ! [T_1,T_2] : % 169.26/169.06 ( ( class_Enum_Oenum(T_2) % 169.26/169.06 & class_Enum_Oenum(T_1) ) % 169.26/169.06 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ). % 169.26/169.06 % 169.26/169.06 fof(arity_Com__Ocom__Nat_Osize,axiom, % 169.26/169.06 class_Nat_Osize(tc_Com_Ocom) ). % 169.26/169.06 % 169.26/169.06 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 169.26/169.06 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 169.26/169.06 % 169.26/169.06 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 169.26/169.06 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 169.26/169.06 % 169.26/169.06 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 169.26/169.06 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 169.26/169.06 % 169.26/169.06 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 169.26/169.06 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 169.26/169.06 % 169.26/169.06 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 169.26/169.06 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 169.26/169.06 % 169.26/169.06 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom, % 169.26/169.06 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ). % 169.26/169.06 % 169.26/169.06 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 169.26/169.06 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 169.26/169.07 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 169.26/169.07 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 169.26/169.07 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 169.26/169.07 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 169.26/169.07 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 169.26/169.07 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 169.26/169.07 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 169.26/169.07 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 169.26/169.07 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 169.26/169.07 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 169.26/169.07 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 169.26/169.07 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 169.26/169.07 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom, % 169.26/169.07 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom, % 169.26/169.07 class_Lattices_Osemilattice__sup(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom, % 169.26/169.07 class_Lattices_Osemilattice__inf(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom, % 169.26/169.07 class_Lattices_Odistrib__lattice(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 169.26/169.07 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 169.26/169.07 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 169.26/169.07 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 169.26/169.07 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 169.26/169.07 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 169.26/169.07 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 169.26/169.07 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 169.26/169.07 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 169.26/169.07 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom, % 169.26/169.07 class_Groups_Osemigroup__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 169.26/169.07 class_Divides_Osemiring__div(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 169.26/169.07 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom, % 169.26/169.07 class_Nat_Osemiring__char__0(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 169.26/169.07 class_Groups_Oab__group__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 169.26/169.07 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 169.26/169.07 class_Rings_Oordered__ring(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 169.26/169.07 class_Orderings_Opreorder(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 169.26/169.07 class_Orderings_Olinorder(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 169.26/169.07 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 169.26/169.07 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 169.26/169.07 class_Groups_Omonoid__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Osemiring__1,axiom, % 169.26/169.07 class_Rings_Osemiring__1(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 169.26/169.07 class_Rings_Osemiring__0(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Lattices_Olattice,axiom, % 169.26/169.07 class_Lattices_Olattice(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 169.26/169.07 class_Groups_Ogroup__add(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Divides_Oring__div,axiom, % 169.26/169.07 class_Divides_Oring__div(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 169.26/169.07 class_Rings_Omult__zero(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom, % 169.26/169.07 class_Rings_Ocomm__ring(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 169.26/169.07 class_Orderings_Oorder(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 169.26/169.07 class_Int_Oring__char__0(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Int_Onumber__ring,axiom, % 169.26/169.07 class_Int_Onumber__ring(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 169.26/169.07 class_Rings_Osemiring(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Orderings_Oord,axiom, % 169.26/169.07 class_Orderings_Oord(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 169.26/169.07 class_Groups_Ouminus(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 169.26/169.07 class_Groups_Osgn__if(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 169.26/169.07 class_Groups_Oabs__if(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 169.26/169.07 class_Rings_Oring__1(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Ominus,axiom, % 169.26/169.07 class_Groups_Ominus(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Power_Opower,axiom, % 169.26/169.07 class_Power_Opower(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Ozero,axiom, % 169.26/169.07 class_Groups_Ozero(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Oring,axiom, % 169.26/169.07 class_Rings_Oring(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Oidom,axiom, % 169.26/169.07 class_Rings_Oidom(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Int_Onumber,axiom, % 169.26/169.07 class_Int_Onumber(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Groups_Oone,axiom, % 169.26/169.07 class_Groups_Oone(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Int__Oint__Rings_Odvd,axiom, % 169.26/169.07 class_Rings_Odvd(tc_Int_Oint) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 169.26/169.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 169.26/169.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 169.26/169.07 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 169.26/169.07 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 169.26/169.07 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 169.26/169.07 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 169.26/169.07 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 169.26/169.07 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 169.26/169.07 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 169.26/169.07 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom, % 169.26/169.07 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom, % 169.26/169.07 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom, % 169.26/169.07 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 169.26/169.07 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 169.26/169.07 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 169.26/169.07 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 169.26/169.07 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 169.26/169.07 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 169.26/169.07 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom, % 169.26/169.07 class_Groups_Osemigroup__add(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 169.26/169.07 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 169.26/169.07 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Orderings_Owellorder,axiom, % 169.26/169.07 class_Orderings_Owellorder(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom, % 169.26/169.07 class_Nat_Osemiring__char__0(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 169.26/169.07 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 169.26/169.07 class_Orderings_Opreorder(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 169.26/169.07 class_Orderings_Olinorder(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 169.26/169.07 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 169.26/169.07 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom, % 169.26/169.07 class_Rings_Osemiring__1(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 169.26/169.07 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Lattices_Olattice,axiom, % 169.26/169.07 class_Lattices_Olattice(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 169.26/169.07 class_Rings_Omult__zero(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 169.26/169.07 class_Orderings_Oorder(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 169.26/169.07 class_Rings_Osemiring(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 169.26/169.07 class_Orderings_Oord(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Orderings_Obot,axiom, % 169.26/169.07 class_Orderings_Obot(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 169.26/169.07 class_Groups_Ominus(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Power_Opower,axiom, % 169.26/169.07 class_Power_Opower(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 169.26/169.07 class_Groups_Ozero(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Int_Onumber,axiom, % 169.26/169.07 class_Int_Onumber(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Groups_Oone,axiom, % 169.26/169.07 class_Groups_Oone(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Rings_Odvd,axiom, % 169.26/169.07 class_Rings_Odvd(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nat__Onat__Nat_Osize,axiom, % 169.26/169.07 class_Nat_Osize(tc_Nat_Onat) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom, % 169.26/169.07 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom, % 169.26/169.07 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom, % 169.26/169.07 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom, % 169.26/169.07 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom, % 169.26/169.07 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom, % 169.26/169.07 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 169.26/169.07 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 169.26/169.07 class_Orderings_Opreorder(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom, % 169.26/169.07 class_Finite__Set_Ofinite(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Lattices_Olattice,axiom, % 169.26/169.07 class_Lattices_Olattice(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 169.26/169.07 class_Orderings_Oorder(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Orderings_Otop,axiom, % 169.26/169.07 class_Orderings_Otop(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 169.26/169.07 class_Orderings_Oord(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Orderings_Obot,axiom, % 169.26/169.07 class_Orderings_Obot(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 169.26/169.07 class_Groups_Ouminus(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 169.26/169.07 class_Groups_Ominus(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Enum_Oenum,axiom, % 169.26/169.07 class_Enum_Oenum(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_HOL__Obool__Nat_Osize,axiom, % 169.26/169.07 class_Nat_Osize(tc_HOL_Obool) ). % 169.26/169.07 % 169.26/169.07 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom, % 169.26/169.07 ! [T_1] : % 169.26/169.07 ( class_Lazy__Sequence_Osmall__lazy(T_1) % 169.26/169.07 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ). % 169.26/169.07 % 169.26/169.07 fof(arity_List__Olist__Nat_Osize,axiom, % 169.26/169.07 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ). % 169.26/169.07 % 169.26/169.07 fof(arity_sum__Finite__Set_Ofinite,axiom, % 169.26/169.07 ! [T_1,T_2] : % 169.26/169.07 ( ( class_Finite__Set_Ofinite(T_2) % 169.26/169.07 & class_Finite__Set_Ofinite(T_1) ) % 169.26/169.07 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ). % 169.26/169.07 % 169.26/169.07 fof(arity_sum__Enum_Oenum,axiom, % 169.26/169.07 ! [T_1,T_2] : % 169.26/169.07 ( ( class_Enum_Oenum(T_2) % 169.26/169.07 & class_Enum_Oenum(T_1) ) % 169.26/169.07 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ). % 169.26/169.07 % 169.26/169.07 fof(arity_sum__Nat_Osize,axiom, % 169.26/169.07 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom, % 169.26/169.07 ! [T_1] : % 169.26/169.07 ( class_Finite__Set_Ofinite(T_1) % 169.26/169.07 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Option__Ooption__Enum_Oenum,axiom, % 169.26/169.07 ! [T_1] : % 169.26/169.07 ( class_Enum_Oenum(T_1) % 169.26/169.07 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Option__Ooption__Nat_Osize,axiom, % 169.26/169.07 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom, % 169.26/169.07 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ). % 169.26/169.07 % 169.26/169.07 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom, % 169.26/169.07 ! [T_1,T_2] : % 169.26/169.07 ( ( class_Lazy__Sequence_Osmall__lazy(T_2) % 169.26/169.07 & class_Lazy__Sequence_Osmall__lazy(T_1) ) % 169.26/169.07 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ). % 169.26/169.07 % 169.26/169.07 fof(arity_prod__Finite__Set_Ofinite,axiom, % 169.26/169.07 ! [T_1,T_2] : % 169.26/169.07 ( ( class_Finite__Set_Ofinite(T_2) % 169.26/169.07 & class_Finite__Set_Ofinite(T_1) ) % 169.26/169.07 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ). % 169.26/169.07 % 169.26/169.07 fof(arity_prod__Enum_Oenum,axiom, % 169.26/169.07 ! [T_1,T_2] : % 169.26/169.07 ( ( class_Enum_Oenum(T_2) % 169.26/169.07 & class_Enum_Oenum(T_1) ) % 169.26/169.07 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ). % 169.26/169.07 % 169.26/169.07 fof(arity_prod__Nat_Osize,axiom, % 169.26/169.07 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom, % 169.26/169.07 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom, % 169.26/169.07 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom, % 169.26/169.07 class_Enum_Oenum(tc_Product__Type_Ounit) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Product____Type__Ounit__Nat_Osize,axiom, % 169.26/169.07 class_Nat_Osize(tc_Product__Type_Ounit) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom, % 169.26/169.07 class_Nat_Osize(tc_Code__Evaluation_Oterm) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 169.26/169.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom, % 169.26/169.07 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom, % 169.26/169.07 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom, % 169.26/169.07 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom, % 169.26/169.07 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom, % 169.26/169.07 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom, % 169.26/169.07 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom, % 169.26/169.07 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom, % 169.26/169.07 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom, % 169.26/169.07 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom, % 169.26/169.07 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom, % 169.26/169.07 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom, % 169.26/169.07 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom, % 169.26/169.07 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom, % 169.26/169.07 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom, % 169.26/169.07 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom, % 169.26/169.07 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom, % 169.26/169.07 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom, % 169.26/169.07 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom, % 169.26/169.07 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom, % 169.26/169.07 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom, % 169.26/169.07 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom, % 169.26/169.07 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom, % 169.26/169.07 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom, % 169.26/169.07 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom, % 169.26/169.07 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom, % 169.26/169.07 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom, % 169.26/169.07 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom, % 169.26/169.07 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom, % 169.26/169.07 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom, % 169.26/169.07 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom, % 169.26/169.07 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom, % 169.26/169.07 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom, % 169.26/169.07 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom, % 169.26/169.07 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom, % 169.26/169.07 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom, % 169.26/169.07 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom, % 169.26/169.07 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ). % 169.26/169.07 % 169.26/169.07 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom, % 169.26/169.07 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ). % 169.26/169.07 % 169.26/169.07 %----Helper facts (20) % 169.26/169.07 fof(help_c__COMBI__1,axiom, % 169.26/169.07 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ). % 169.26/169.07 % 169.26/169.07 fof(help_c__COMBK__1,axiom, % 169.26/169.07 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ). % 169.26/169.07 % 169.26/169.07 fof(help_c__COMBB__1,axiom, % 169.26/169.07 ! [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)) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__COMBC__1,axiom, % 169.26/169.07 ! [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) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__COMBS__1,axiom, % 169.26/169.07 ! [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)) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fequal__1,axiom, % 169.26/169.07 ! [V_y_2,V_x_2] : % 169.26/169.07 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) % 169.26/169.07 | V_x_2 = V_y_2 ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fequal__2,axiom, % 169.26/169.07 ! [V_y_2,V_x_2] : % 169.26/169.07 ( V_x_2 != V_y_2 % 169.26/169.07 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fFalse__1,axiom, % 169.26/169.07 ~ hBOOL(c_fFalse) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fTrue__1,axiom, % 169.26/169.07 hBOOL(c_fTrue) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fNot__1,axiom, % 169.26/169.07 ! [V_Pa_2] : % 169.26/169.07 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2)) % 169.26/169.07 | ~ hBOOL(V_Pa_2) ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fNot__2,axiom, % 169.26/169.07 ! [V_Pa_2] : % 169.26/169.07 ( ~ ~ hBOOL(V_Pa_2) % 169.26/169.07 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fconj__1,axiom, % 169.26/169.07 ! [V_Q_2,V_Pa_2] : % 169.26/169.07 ( ~ hBOOL(V_Pa_2) % 169.26/169.07 | ~ hBOOL(V_Q_2) % 169.26/169.07 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fconj__2,axiom, % 169.26/169.07 ! [V_Q_2,V_Pa_2] : % 169.26/169.07 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) % 169.26/169.07 | hBOOL(V_Pa_2) ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fconj__3,axiom, % 169.26/169.07 ! [V_Q_2,V_Pa_2] : % 169.26/169.07 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Q_2)) % 169.26/169.07 | hBOOL(V_Q_2) ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fdisj__1,axiom, % 169.26/169.07 ! [V_Q_2,V_Pa_2] : % 169.26/169.07 ( ~ hBOOL(V_Pa_2) % 169.26/169.07 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fdisj__2,axiom, % 169.26/169.07 ! [V_Pa_2,V_Q_2] : % 169.26/169.07 ( ~ hBOOL(V_Q_2) % 169.26/169.07 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fdisj__3,axiom, % 169.26/169.07 ! [V_Q_2,V_Pa_2] : % 169.26/169.07 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Q_2)) % 169.26/169.07 | hBOOL(V_Pa_2) % 169.26/169.07 | hBOOL(V_Q_2) ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fimplies__1,axiom, % 169.26/169.07 ! [V_Q_2,V_Pa_2] : % 169.26/169.07 ( hBOOL(V_Pa_2) % 169.26/169.07 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fimplies__2,axiom, % 169.26/169.07 ! [V_Pa_2,V_Q_2] : % 169.26/169.07 ( ~ hBOOL(V_Q_2) % 169.26/169.07 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) ) ). % 169.26/169.07 % 169.26/169.07 fof(help_c__fimplies__3,axiom, % 169.26/169.07 ! [V_Q_2,V_Pa_2] : % 169.26/169.07 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Q_2)) % 169.26/169.07 | ~ hBOOL(V_Pa_2) % 169.26/169.07 | hBOOL(V_Q_2) ) ). % 169.26/169.07 % 169.26/169.07 %----Conjectures (5) % 169.26/169.07 fof(conj_0,hypothesis, % 169.26/169.07 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),v_U)) ). % 169.26/169.07 % 169.26/169.07 fof(conj_1,hypothesis, % 169.26/169.07 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))) ). % 169.26/169.07 % 169.26/169.07 fof(conj_2,hypothesis, % 169.26/169.07 hAPP(c_Finite__Set_Ocard(t_a),v_G) = hAPP(c_Finite__Set_Ocard(t_a),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)) ). % 169.26/169.07 % 169.26/169.07 fof(conj_3,hypothesis, % 169.26/169.07 v_wt(v_c) ). % 169.26/169.07 % 169.26/169.07 fof(conj_4,conjecture, % 169.26/169.07 v_G = hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) ). % 169.26/169.07 % 169.26/169.07 %------------------------------------------------------------------------------ % 169.26/169.07 %------------------------------------------- % 169.26/169.07 % Proof found % 169.26/169.07 % SZS status Theorem for theBenchmark % 169.26/169.07 % SZS output start Proof % 169.26/169.07 %ClaNum:10397(EqnAxiom:3037) % 169.26/169.07 %VarNum:70802(SingletonVarNum:20413) % 169.26/169.07 %MaxLitNum:8 % 169.26/169.07 %MaxfuncDepth:13 % 169.26/169.07 %SharedTerms:1006 % 169.26/169.07 %goalClause: 4613 % 169.26/169.07 %singleGoalClaCount:1 % 169.26/169.07 [3041]P1(a177) % 169.26/169.07 [3042]P2(a894) % 169.26/169.07 [3043]P2(a897) % 169.26/169.07 [3044]P2(a1) % 169.26/169.07 [3045]P2(a89) % 169.26/169.07 [3046]P3(a894) % 169.26/169.07 [3047]P3(a897) % 169.26/169.07 [3048]P3(a1) % 169.26/169.07 [3049]P3(a89) % 169.26/169.07 [3050]P4(a897) % 169.26/169.07 [3051]P4(a1) % 169.26/169.07 [3052]P4(a89) % 169.26/169.07 [3053]P109(a894) % 169.26/169.07 [3054]P109(a897) % 169.26/169.07 [3055]P109(a1) % 169.26/169.07 [3056]P109(a89) % 169.26/169.07 [3057]P5(a894) % 169.26/169.07 [3058]P5(a900) % 169.26/169.07 [3059]P149(a903) % 169.26/169.07 [3060]P68(a894) % 169.26/169.07 [3061]P68(a897) % 169.26/169.07 [3062]P69(a894) % 169.26/169.07 [3063]P69(a897) % 169.26/169.07 [3064]P69(a1) % 169.26/169.07 [3065]P69(a89) % 169.26/169.07 [3066]P81(a1) % 169.26/169.07 [3067]P70(a1) % 169.26/169.07 [3068]P82(a897) % 169.26/169.07 [3069]P82(a1) % 169.26/169.07 [3070]P82(a89) % 169.26/169.07 [3071]P71(a897) % 169.26/169.07 [3072]P71(a1) % 169.26/169.07 [3073]P71(a89) % 169.26/169.07 [3074]P72(a897) % 169.26/169.07 [3075]P72(a1) % 169.26/169.07 [3076]P72(a89) % 169.26/169.07 [3077]P73(a897) % 169.26/169.07 [3078]P73(a1) % 169.26/169.07 [3079]P73(a89) % 169.26/169.07 [3080]P76(a897) % 169.26/169.07 [3081]P76(a1) % 169.26/169.07 [3082]P76(a89) % 169.26/169.07 [3083]P83(a897) % 169.26/169.07 [3084]P83(a1) % 169.26/169.07 [3085]P83(a89) % 169.26/169.07 [3086]P77(a1) % 169.26/169.07 [3087]P85(a897) % 169.26/169.07 [3088]P85(a1) % 169.26/169.07 [3089]P85(a89) % 169.26/169.07 [3090]P86(a897) % 169.26/169.07 [3091]P86(a1) % 169.26/169.07 [3092]P86(a89) % 169.26/169.07 [3093]P87(a897) % 169.26/169.07 [3094]P87(a1) % 169.26/169.07 [3095]P87(a89) % 169.26/169.07 [3096]P88(a897) % 169.26/169.07 [3097]P88(a1) % 169.26/169.07 [3098]P88(a89) % 169.26/169.07 [3099]P90(a897) % 169.26/169.07 [3100]P90(a1) % 169.26/169.07 [3101]P90(a89) % 169.26/169.07 [3102]P78(a1) % 169.26/169.07 [3103]P110(a897) % 169.26/169.07 [3104]P110(a1) % 169.26/169.07 [3105]P110(a89) % 169.26/169.07 [3106]P111(a1) % 169.26/169.07 [3107]P127(a897) % 169.26/169.07 [3108]P127(a1) % 169.26/169.07 [3109]P127(a89) % 169.26/169.07 [3110]P146(a897) % 169.26/169.07 [3111]P146(a1) % 169.26/169.07 [3112]P112(a897) % 169.26/169.07 [3113]P112(a1) % 169.26/169.07 [3114]P112(a89) % 169.26/169.07 [3115]P128(a1) % 169.26/169.07 [3116]P94(a1) % 169.26/169.07 [3117]P74(a897) % 169.26/169.07 [3118]P74(a1) % 169.26/169.07 [3119]P74(a89) % 169.26/169.07 [3120]P129(a1) % 169.26/169.07 [3121]P95(a1) % 169.26/169.07 [3122]P96(a897) % 169.26/169.07 [3123]P96(a1) % 169.26/169.07 [3124]P96(a89) % 169.26/169.07 [3125]P132(a1) % 169.26/169.07 [3126]P141(a897) % 169.26/169.07 [3127]P141(a1) % 169.26/169.07 [3128]P141(a89) % 169.26/169.07 [3129]P133(a897) % 169.26/169.07 [3130]P133(a1) % 169.26/169.07 [3131]P133(a89) % 169.26/169.07 [3132]P142(a1) % 169.26/169.07 [3133]P134(a897) % 169.26/169.07 [3134]P134(a1) % 169.26/169.07 [3135]P134(a89) % 169.26/169.07 [3136]P113(a897) % 169.26/169.07 [3137]P113(a1) % 169.26/169.07 [3138]P113(a89) % 169.26/169.07 [3139]P84(a897) % 169.26/169.07 [3140]P84(a1) % 169.26/169.07 [3141]P84(a89) % 169.26/169.07 [3142]P79(a897) % 169.26/169.07 [3143]P79(a1) % 169.26/169.07 [3144]P79(a89) % 169.26/169.07 [3145]P136(a897) % 169.26/169.07 [3146]P136(a1) % 169.26/169.07 [3147]P136(a89) % 169.26/169.07 [3148]P137(a1) % 169.26/169.07 [3149]P139(a897) % 169.26/169.07 [3150]P139(a1) % 169.26/169.07 [3151]P139(a89) % 169.26/169.07 [3152]P138(a897) % 169.26/169.07 [3153]P138(a1) % 169.26/169.07 [3154]P138(a89) % 169.26/169.07 [3155]P125(a1) % 169.26/169.07 [3156]P126(a1) % 169.26/169.07 [3157]P119(a897) % 169.26/169.07 [3158]P119(a1) % 169.26/169.07 [3159]P119(a89) % 169.26/169.07 [3160]P135(a897) % 169.26/169.07 [3161]P135(a1) % 169.26/169.07 [3162]P135(a89) % 169.26/169.07 [3163]P130(a897) % 169.26/169.07 [3164]P130(a1) % 169.26/169.07 [3165]P130(a89) % 169.26/169.07 [3166]P131(a1) % 169.26/169.07 [3167]P97(a897) % 169.26/169.07 [3168]P97(a1) % 169.26/169.07 [3169]P97(a89) % 169.26/169.07 [3170]P144(a897) % 169.26/169.07 [3171]P144(a1) % 169.26/169.07 [3172]P144(a89) % 169.26/169.07 [3173]P98(a894) % 169.26/169.07 [3174]P91(a894) % 169.26/169.07 [3175]P91(a1) % 169.26/169.07 [3176]P120(a1) % 169.26/169.07 [3177]P143(a1) % 169.26/169.07 [3178]P114(a1) % 169.26/169.07 [3179]P115(a897) % 169.26/169.07 [3180]P115(a1) % 169.26/169.07 [3181]P115(a89) % 169.26/169.07 [3182]P145(a897) % 169.26/169.07 [3183]P145(a1) % 169.26/169.07 [3184]P145(a89) % 169.26/169.07 [3185]P6(a897) % 169.26/169.07 [3186]P6(a1) % 169.26/169.07 [3187]P6(a89) % 169.26/169.07 [3188]P7(a1) % 169.26/169.07 [3189]P100(a894) % 169.26/169.07 [3190]P100(a897) % 169.26/169.07 [3191]P100(a1) % 169.26/169.07 [3192]P101(a894) % 169.26/169.07 [3193]P101(a897) % 169.26/169.07 [3194]P101(a1) % 169.26/169.07 [3195]P102(a894) % 169.26/169.07 [3196]P106(a894) % 169.26/169.07 [3197]P106(a897) % 169.26/169.07 [3198]P106(a1) % 169.26/169.07 [3199]P104(a894) % 169.26/169.07 [3200]P104(a897) % 169.26/169.07 [3201]P104(a1) % 169.26/169.07 [3202]P92(a1) % 169.26/169.07 [3203]P89(a1) % 169.26/169.07 [3204]P140(a1) % 169.26/169.07 [3205]P75(a1) % 169.26/169.07 [3206]P8(a894) % 169.26/169.07 [3207]P116(a894) % 169.26/169.07 [3208]P105(a894) % 169.26/169.07 [3209]P80(a897) % 169.26/169.07 [3210]P80(a1) % 169.26/169.07 [3211]P80(a89) % 169.26/169.07 [3212]P117(a897) % 169.26/169.07 [3213]P93(a897) % 169.26/169.07 [3214]P93(a1) % 169.26/169.07 [3215]P93(a89) % 169.26/169.07 [3216]P63(a894) % 169.26/169.07 [3217]P63(a900) % 169.26/169.07 [3218]P108(a894) % 169.26/169.07 [3219]P108(a897) % 169.26/169.07 [3220]P108(a895) % 169.26/169.07 [3221]P108(a89) % 169.26/169.07 [3222]P108(a900) % 169.26/169.07 [3223]P108(a313) % 169.26/169.07 [3224]P107(a1) % 169.26/169.07 [3225]P107(a900) % 169.26/169.07 [3226]P121(a897) % 169.26/169.07 [3227]P121(a1) % 169.26/169.07 [3228]P121(a89) % 169.26/169.07 [3229]P118(a1) % 169.26/169.07 [3230]P103(a894) % 169.26/169.07 [3244]P39(a897,a230) % 169.26/169.07 [3245]P39(a897,a307) % 169.26/169.07 [3246]P40(a897,a230) % 169.26/169.07 [4571]~E(a87,a77) % 169.26/169.07 [4572]~P1(a229) % 169.26/169.07 [3038]E(f2(a1),a77) % 169.26/169.07 [3039]E(f90(a89),a3) % 169.26/169.07 [3040]E(f23(a89),a24) % 169.26/169.07 [3231]E(f178(a897),f2(a897)) % 169.26/169.07 [3232]E(f223(a897),f91(a897)) % 169.26/169.07 [3233]E(f228(a897),f92(a897)) % 169.26/169.07 [3234]E(f93(a1),f25(a1)) % 169.26/169.07 [3235]E(f78(a229),f2(a897)) % 169.26/169.07 [3236]E(f78(a177),f2(a897)) % 169.26/169.07 [3237]P9(f72(a1)) % 169.26/169.07 [3238]P9(f2(a1)) % 169.26/169.07 [3292]P39(f905(a897,a897),a26) % 169.26/169.07 [3633]E(f309(a897,a897,a230,a230),a26) % 169.26/169.07 [4573]~E(f72(a1),f2(a1)) % 169.26/169.07 [3239]E(f4(f2(a89)),f2(a897)) % 169.26/169.07 [3240]E(f101(f2(a897)),f2(a897)) % 169.26/169.07 [3248]E(f317(f73(a1),a77),a77) % 169.26/169.07 [3251]E(f317(a102,f2(a897)),f72(a897)) % 169.26/169.07 [3252]E(f317(a95,f72(a1)),f72(a897)) % 169.26/169.07 [3253]E(f317(a3,f72(a897)),f72(a89)) % 169.26/169.07 [3255]E(f317(a3,f2(a897)),f2(a89)) % 169.26/169.07 [3257]E(f317(f94(a1),a77),f2(a1)) % 169.26/169.07 [3258]E(f317(f94(a89),a77),f2(a89)) % 169.26/169.07 [3259]E(f317(a95,f2(a1)),f2(a897)) % 169.26/169.07 [3260]E(f317(f94(a897),a77),f2(a897)) % 169.26/169.07 [3261]E(f317(f179(a894),a229),f2(a897)) % 169.26/169.07 [3262]E(f317(f179(a894),a177),f2(a897)) % 169.26/169.07 [3268]E(f317(f73(a1),f72(a1)),a87) % 169.26/169.07 [3276]E(f317(f179(a89),f2(a89)),f2(a897)) % 169.26/169.07 [3277]E(f317(f90(a1),f72(a897)),f72(a1)) % 169.26/169.07 [3278]E(f317(f90(a1),f2(a897)),f2(a1)) % 169.26/169.07 [3279]E(f317(f73(a1),f2(a1)),f2(a1)) % 169.26/169.07 [3289]E(f317(a95,f72(a1)),f317(a102,f2(a897))) % 169.26/169.07 [3290]E(f308(f905(a897,a897),a26),a27) % 169.26/169.07 [3291]E(f310(f905(a897,a897),a26),a63) % 169.26/169.07 [3293]P1(f317(f28(a896),a907)) % 169.26/169.07 [3319]E(f317(f272(a897),f2(a897)),f178(f906(a897,a894))) % 169.26/169.07 [3320]E(f317(f273(a897),f2(a897)),f232(f906(a897,a894))) % 169.26/169.07 [3328]P42(f178(f906(a1,a894))) % 169.26/169.07 [3362]E(f317(f317(f23(a89),f2(a89)),f72(a89)),f2(a89)) % 169.26/169.07 [3437]P1(f317(f317(f225(a1),a87),f2(a1))) % 169.26/169.07 [3461]P1(f317(f317(f224(a1),f2(a1)),f72(a1))) % 169.26/169.07 [3463]P1(f317(f317(f225(a1),f2(a1)),f72(a1))) % 169.26/169.07 [3665]E(f317(f317(f279(a897,a897,a897),a307),f297(a897,a307)),a230) % 169.26/169.07 [3702]P43(a1,a897,a95,f317(f224(a1),f2(a1))) % 169.26/169.07 [3706]E(f317(f317(f34(a897,f906(a897,a894)),f232(f906(a897,a894))),f291(a897)),f232(f906(a897,a894))) % 169.26/169.07 [3707]E(f317(f317(f34(a897,f906(a897,a894)),f232(f906(a897,a894))),f272(a897)),f232(f906(a897,a894))) % 169.26/169.07 [3708]E(f317(f317(f34(a897,f906(a897,a894)),f232(f906(a897,a894))),f273(a897)),f232(f906(a897,a894))) % 169.26/169.07 [3709]E(f317(f317(f35(a897,f906(a897,a894)),f232(f906(a897,a894))),f294(a897)),f178(f906(a897,a894))) % 169.26/169.07 [3724]P27(a897,a1,f90(a1),f232(f906(a897,a894))) % 169.26/169.07 [3738]P43(a897,a1,f90(a1),f317(f16(a894,a897),a177)) % 169.26/169.07 [3873]E(f317(f67(a897,a89,a1,a3),a95),f94(a89)) % 169.26/169.07 [4093]P59(a89,a897,a20,a3,f232(f906(a897,a894))) % 169.26/169.07 [4097]P59(a1,f906(f905(a897,a897),a894),a98,a83,a88) % 169.26/169.07 [4351]E(f248(a1,a1,a1,a1,f25(a1),f73(a1)),a46) % 169.26/169.07 [4582]~E(f317(f94(a1),a87),f317(f94(a1),a77)) % 169.26/169.07 [4583]~P1(f317(a183,f72(a1))) % 169.26/169.07 [4584]~P1(f317(a183,f2(a1))) % 169.26/169.07 [4609]~P1(f317(f317(f225(a1),a77),f2(a1))) % 169.26/169.07 [4613]~E(f317(f300(a896,a893,a909),a907),a908) % 169.26/169.07 [3311]E(f317(f317(f23(a1),a87),a87),a77) % 169.26/169.07 [3326]E(f317(f90(a1),f317(a102,f2(a897))),f72(a1)) % 169.26/169.07 [3391]E(f317(f29(a900),f232(f906(a900,a894))),f72(a897)) % 169.26/169.07 [3411]P1(f317(a183,f317(f94(a1),a87))) % 169.26/169.07 [3413]P1(f317(f317(f224(a1),a87),a77)) % 169.26/169.07 [3415]P1(f317(f317(f225(a1),a87),a77)) % 169.26/169.07 [3471]E(f317(f317(f299(a897),f2(a897)),f178(f906(a897,a894))),f317(f291(a897),f2(a897))) % 169.26/169.07 [3524]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),a77))) % 169.26/169.07 [3536]E(f317(f300(a897,a897,a102),f232(f906(a897,a894))),f317(f294(a897),f2(a897))) % 169.26/169.07 [3571]P11(f905(a897,a897),f232(f906(f905(a897,a897),a894)),a99) % 169.26/169.07 [3660]E(f317(f29(a893),f317(f300(a896,a893,a909),a907)),f317(f29(a893),a908)) % 169.26/169.07 [3880]E(f317(f67(a897,a1,a89,f90(a1)),a20),a22) % 169.26/169.07 [3939]P39(a897,f317(f252(f905(a897,a897)),f317(f247(a897,a897,a894),f225(a897)))) % 169.26/169.07 [3977]P1(f317(f317(f224(f906(a893,a894)),a908),f317(f300(a896,a893,a909),a907))) % 169.26/169.07 [4600]~P1(f317(a183,f317(f94(a1),a77))) % 169.26/169.07 [4601]~P1(f317(f317(f224(a1),a77),a87)) % 169.26/169.07 [4602]~P1(f317(f317(f225(a1),a77),a77)) % 169.26/169.07 [4603]~P1(f317(f317(f225(a1),a77),a87)) % 169.26/169.07 [4604]~P1(f317(f317(f225(a1),a87),a87)) % 169.26/169.07 [4614]~P1(f317(f28(a897),f232(f906(a897,a894)))) % 169.26/169.07 [4615]~P1(f317(f28(a1),f232(f906(a1,a894)))) % 169.26/169.07 [4517]E(f317(f247(a1,a1,a894),f317(f317(f8(f906(a1,a894),f906(a1,a894),a1),f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f225(a1),f2(a1))))),f317(f317(f7(a1,a1,f906(a1,a894)),f317(f317(f8(f906(a1,f906(a1,a894)),f906(a1,f906(a1,a894)),a1),f7(a1,a1,a894)),f317(f317(f8(f906(a1,a1),f906(a1,f906(a1,a894)),a1),f317(f8(a1,f906(a1,a894),a1),a314)),a207))),f72(a1)))),a203) % 169.26/169.07 [3608]E(f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87),f317(f73(a1),a87)) % 169.26/169.07 [3646]E(f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87),f317(f317(f23(a1),a77),a87)) % 169.26/169.07 [3807]E(f317(f317(f55(f905(a897,a897)),f232(f906(f905(a897,a897),a894))),a99),a88) % 169.26/169.07 [3836]E(f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a1)) % 169.26/169.07 [3837]E(f317(f94(a89),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a89)) % 169.26/169.07 [3838]E(f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(a897)) % 169.26/169.07 [3841]E(f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(a102,f2(a897))) % 169.26/169.07 [4219]E(f317(f317(f91(f906(f905(f905(a897,a897),f905(a897,a897)),a894)),a26),f297(f905(a897,a897),f178(f906(f905(f905(a897,a897),f905(a897,a897)),a894)))),a65) % 169.26/169.07 [4285]E(f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),f72(a897)),f2(a897))),f178(f906(f905(a897,a897),a894))))),f72(a1)) % 169.26/169.07 [4286]E(f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),f2(a897)),f2(a897))),f178(f906(f905(a897,a897),a894))))),f2(a1)) % 169.26/169.07 [4299]E(f317(f252(f905(a897,a897)),f317(f247(a897,a897,a894),f317(f317(f8(a897,f906(a897,a894),a897),f317(f7(a897,a897,a894),a314)),a102))),a307) % 169.26/169.07 [4271]E(f317(f94(a897),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(a897)))) % 169.26/169.07 [4274]E(f317(f94(a897),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(a897),f72(a897)),f72(a897))) % 169.26/169.07 [4275]E(f317(f94(a897),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(f906(a894,a894)))) % 169.26/169.07 [4338]P9(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)))) % 169.26/169.07 [4407]P29(f906(f905(a897,a897),a894),f317(f317(f242(f906(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),a894),f906(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),a894)),a27),a64)) % 169.26/169.07 [4408]P29(f906(f905(a897,a897),a894),f317(f317(f242(f906(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),a894),f906(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),a894)),a63),a66)) % 169.26/169.07 [4448]E(f317(f317(f91(f906(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),a894)),f310(f905(a897,a897),a65)),f317(f317(f299(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),f178(f906(f905(a897,a897),a894))),f178(f906(f905(a897,a897),a894)))),f178(f906(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),a894)))),a66) % 169.26/169.07 [4449]E(f317(f317(f91(f906(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),a894)),f308(f905(a897,a897),a65)),f317(f317(f299(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),f178(f906(f905(a897,a897),a894))),f178(f906(f905(a897,a897),a894)))),f178(f906(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),a894)))),a64) % 169.26/169.07 [4340]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(a897)))) % 169.26/169.07 [4385]E(f317(f90(a1),f317(f94(a897),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)))) % 169.26/169.07 [4418]P1(f317(f317(f224(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))))) % 169.26/169.07 [4419]E(f317(f94(a897),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(a897))))) % 169.26/169.07 [4463]P9(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))) % 169.26/169.07 [4489]E(f317(f90(a1),f317(f94(a897),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))) % 169.26/169.07 [4502]P1(f317(f317(f224(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)))) % 169.26/169.07 [3247]P10(x32471,a314) % 169.26/169.07 [3634]P27(a897,a897,a102,x36341) % 169.26/169.07 [3241]P108(f901(x32411)) % 169.26/169.07 [3242]P108(f898(x32421)) % 169.26/169.07 [3243]P108(f899(x32431)) % 169.26/169.07 [3263]P39(a1,f96(x32631)) % 169.26/169.07 [3264]P39(a1,f97(x32641)) % 169.26/169.07 [3315]P39(f906(x33151,a894),f304(x33151)) % 169.26/169.07 [3316]P40(f906(x33161,a894),f304(x33161)) % 169.26/169.07 [3340]E(f233(x33401,x33401,a314),a314) % 169.26/169.07 [3355]E(f40(a1,x33551,x33551),f2(a1)) % 169.26/169.07 [3408]P17(x34081,f906(x34081,a894),f299(x34081)) % 169.26/169.07 [4575]~E(f317(a102,x45751),x45751) % 169.26/169.07 [4581]~E(f317(a102,x45811),f2(a897)) % 169.26/169.07 [3249]E(f317(f94(a1),x32491),x32491) % 169.26/169.07 [3250]E(f317(f179(a897),x32501),x32501) % 169.26/169.07 [3265]E(f317(a83,f318(x32651)),x32651) % 169.26/169.07 [3266]E(f317(a3,f515(x32661)),x32661) % 169.26/169.07 [3267]E(f231(x32671,f2(a89)),f2(a89)) % 169.26/169.07 [3280]E(f104(x32801,f103(x32801)),f103(x32801)) % 169.26/169.07 [3281]E(f142(x32811,f103(x32811)),f103(x32811)) % 169.26/169.07 [3286]E(f317(f157(x32861),f103(x32861)),f103(x32861)) % 169.26/169.07 [3287]E(f317(f161(x32871),f103(x32871)),f103(x32871)) % 169.26/169.07 [3288]E(f317(f158(x32881),f103(x32881)),f103(x32881)) % 169.26/169.07 [3294]E(f317(f94(a1),x32941),f317(f93(a1),x32941)) % 169.26/169.07 [3295]E(f317(a83,f317(a98,x32951)),x32951) % 169.26/169.07 [3297]E(f317(a3,f317(a20,x32971)),x32971) % 169.26/169.07 [3298]E(f317(a20,f317(a3,x32981)),x32981) % 169.26/169.07 [3300]P9(f317(f90(a1),x33001)) % 169.26/169.07 [3309]E(f317(f179(f898(x33091)),f103(x33091)),f2(a897)) % 169.26/169.07 [3310]E(f317(f179(f899(x33101)),f109(x33101)),f2(a897)) % 169.26/169.07 [3331]E(f317(f317(f23(a897),x33311),f2(a897)),x33311) % 169.26/169.07 [3332]E(f317(f317(f74(a897),x33321),f2(a897)),x33321) % 169.26/169.07 [3333]E(f317(f317(f74(a1),x33331),f2(a1)),x33331) % 169.26/169.07 [3334]E(f317(f317(f75(a897),x33341),f72(a897)),x33341) % 169.26/169.07 [3335]E(f317(f317(f75(a1),x33351),f72(a1)),x33351) % 169.26/169.07 [3336]E(f317(f317(f223(a897),x33361),f2(a897)),x33361) % 169.26/169.07 [3337]E(f317(f317(f75(a897),x33371),f2(a897)),f2(a897)) % 169.26/169.07 [3338]E(f317(f317(f228(a897),x33381),f2(a897)),f2(a897)) % 169.26/169.07 [3339]E(f317(f317(f30(a1),x33391),f2(a1)),f2(a1)) % 169.26/169.07 [3346]E(f317(f162(x33461),f103(x33461)),f178(f906(x33461,a894))) % 169.26/169.07 [3350]P1(f317(f127(x33501),f103(x33501))) % 169.26/169.07 [3356]E(f317(f144(x33561,x33561),f5(x33561)),f25(f898(x33561))) % 169.26/169.07 [3357]E(f317(f144(x33571,x33571),f25(x33571)),f25(f898(x33571))) % 169.26/169.07 [3358]E(f40(a1,x33581,f2(a1)),x33581) % 169.26/169.07 [3359]E(f317(f224(a897),f317(a102,x33591)),f317(f225(a897),x33591)) % 169.26/169.07 [3360]E(f317(f272(a897),f317(a102,x33601)),f317(f291(a897),x33601)) % 169.26/169.07 [3361]E(f317(f273(a897),f317(a102,x33611)),f317(f294(a897),x33611)) % 169.26/169.07 [3363]E(f40(a1,f2(a1),x33631),f2(a1)) % 169.26/169.07 [3376]E(f317(f317(f74(a897),x33761),f72(a897)),f317(a102,x33761)) % 169.26/169.07 [3385]E(f317(f292(a897,x33851),f2(a897)),f178(f906(a897,a894))) % 169.26/169.07 [3397]E(f293(a897,f2(a897),x33971),f317(f291(a897),x33971)) % 169.26/169.07 [3440]E(f317(f317(f23(a897),f317(a102,x34401)),f72(a897)),x34401) % 169.26/169.07 [3452]E(f42(f2(a1),x34521),f317(f317(f242(a1,a1),f2(a1)),f2(a1))) % 169.26/169.07 [3499]P1(f317(f317(f225(a897),x34991),f317(a102,x34991))) % 169.26/169.07 [3511]P1(f317(f317(f225(a897),f2(a897)),f317(a102,x35111))) % 169.26/169.07 [3737]E(f85(x37371,x37371,f232(f906(x37371,a894)),f25(x37371)),f25(x37371)) % 169.26/169.07 [3794]E(f317(f317(f23(a89),f317(a3,f317(a102,f317(a20,x37941)))),f72(a89)),x37941) % 169.26/169.07 [3864]P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x38641))),f2(a1))) % 169.26/169.07 [4008]P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40081)))),f2(a1))) % 169.26/169.07 [4589]~E(f232(f906(x45891,a894)),f178(f906(x45891,a894))) % 169.26/169.07 [4612]~P1(f317(f317(f225(a897),x46121),f2(a897))) % 169.26/169.07 [4624]~P1(f317(f317(f225(a1),f317(f90(a1),x46241)),f2(a1))) % 169.26/169.07 [3299]E(f110(x32991,f109(f899(x32991))),f109(x32991)) % 169.26/169.07 [3314]E(f169(x33141,f103(f898(x33141))),f103(f898(x33141))) % 169.26/169.07 [3317]E(f317(f317(f75(a1),a77),x33171),a77) % 169.26/169.07 [3318]E(f317(f317(f74(a1),a77),x33181),x33181) % 169.26/169.07 [3321]E(f317(a95,f317(f90(a1),x33211)),x33211) % 169.26/169.07 [3322]E(f317(f317(f23(a1),x33221),a77),x33221) % 169.26/169.07 [3323]E(f317(f317(f74(a1),x33231),a77),x33231) % 169.26/169.07 [3325]E(f317(f317(f23(a897),x33251),x33251),f2(a897)) % 169.26/169.07 [3329]E(f317(f29(a897),f317(f272(a897),x33291)),x33291) % 169.26/169.07 [3330]E(f317(f73(a1),f317(f73(a1),x33301)),x33301) % 169.26/169.07 [3341]E(f317(f317(f74(a897),f2(a897)),x33411),x33411) % 169.26/169.07 [3342]E(f317(f317(f74(a1),f2(a1)),x33421),x33421) % 169.26/169.07 [3343]E(f317(f317(f75(a897),f72(a897)),x33431),x33431) % 169.26/169.07 [3344]E(f317(f317(f75(a1),f72(a1)),x33441),x33441) % 169.26/169.07 [3345]E(f317(f317(f223(a897),f2(a897)),x33451),x33451) % 169.26/169.07 [3351]E(f317(f317(f23(a897),f2(a897)),x33511),f2(a897)) % 169.26/169.07 [3352]E(f317(f317(f75(a897),f2(a897)),x33521),f2(a897)) % 169.26/169.07 [3353]E(f317(f317(f228(a897),f2(a897)),x33531),f2(a897)) % 169.26/169.07 [3354]E(f317(f317(f30(a1),f2(a1)),x33541),f2(a1)) % 169.26/169.07 [3364]E(f118(x33641,f317(f73(a1),x33641)),f122(a1,x33641)) % 169.26/169.07 [3369]E(f317(f292(a897,f2(a897)),x33691),f317(f272(a897),x33691)) % 169.26/169.07 [3370]E(f317(f317(f75(a1),a87),x33701),f317(f73(a1),x33701)) % 169.26/169.07 [3378]E(f317(a95,f317(f94(a1),x33781)),f317(f94(a897),x33781)) % 169.26/169.07 [3379]E(f317(a20,f317(f94(a89),x33791)),f317(f94(a897),x33791)) % 169.26/169.07 [3380]E(f317(f29(a897),f317(f291(a897),x33801)),f317(a102,x33801)) % 169.26/169.07 [3389]E(f317(f317(f74(a897),f72(a897)),x33891),f317(a102,x33891)) % 169.26/169.07 [3393]E(f317(f93(a1),f317(f90(a1),x33931)),f317(f90(a1),x33931)) % 169.26/169.07 [3394]E(f317(f70(a1),f317(f90(a1),x33941)),f317(f90(a1),x33941)) % 169.26/169.07 [3398]E(f317(f29(x33981),f178(f906(x33981,a894))),f2(a897)) % 169.26/169.07 [3400]E(f317(f317(f30(a897),x34001),f317(a102,f2(a897))),x34001) % 169.26/169.07 [3409]E(f40(a897,x34091,f317(a102,f2(a897))),f2(a897)) % 169.26/169.07 [3410]E(f40(a1,x34101,f317(f94(a1),a87)),f2(a1)) % 169.26/169.07 [3424]E(f317(f317(f30(a1),x34241),f317(f94(a1),a87)),f317(f73(a1),x34241)) % 169.26/169.07 [3428]E(f129(a897,f317(f292(a897,x34281),f2(a897))),f103(a897)) % 169.26/169.07 [3429]E(f317(f317(f74(a1),x34291),f72(a1)),f317(f317(f23(a1),x34291),a87)) % 169.26/169.07 [3430]E(f317(f317(f23(a1),x34301),f72(a1)),f317(f317(f74(a1),x34301),a87)) % 169.26/169.07 [3434]P1(f317(f317(f224(a897),x34341),x34341)) % 169.26/169.07 [3435]P1(f317(f317(f224(a1),x34351),x34351)) % 169.26/169.07 [3436]P1(f317(f317(f277(a897),x34361),x34361)) % 169.26/169.07 [3441]E(f317(f73(a1),f317(f94(a1),x34411)),f317(f94(a1),f317(f73(a1),x34411))) % 169.26/169.07 [3442]P1(f317(f28(a897),f317(f291(a897),x34421))) % 169.26/169.07 [3443]P1(f317(f28(a897),f317(f272(a897),x34431))) % 169.26/169.07 [3450]E(f151(x34501,f232(f906(x34501,a894))),f232(f906(f898(x34501),a894))) % 169.26/169.07 [3455]P1(f317(f317(f224(a897),f2(a897)),x34551)) % 169.26/169.07 [3465]E(f317(f317(f74(a897),f101(x34651)),f317(a102,f2(a897))),f101(f317(a102,x34651))) % 169.26/169.07 [3466]E(f317(f252(x34661),f317(f16(a894,x34661),a229)),f178(f906(x34661,a894))) % 169.26/169.07 [3467]E(f317(f252(x34671),f317(f16(a894,x34671),a177)),f232(f906(x34671,a894))) % 169.26/169.07 [3470]E(f317(f317(f299(a897),x34701),f317(f272(a897),x34701)),f317(f272(a897),f317(a102,x34701))) % 169.26/169.07 [3482]E(f317(f317(f74(a1),f72(a1)),f317(f90(a1),x34821)),f317(f90(a1),f317(a102,x34821))) % 169.26/169.07 [3484]E(f317(f317(f141(f898(x34841)),f103(x34841)),f103(f898(x34841))),f49(x34841,f103(x34841))) % 169.26/169.07 [3502]E(f178(f906(f905(x35021,x35021),a894)),f253(x35021,f178(f906(x35021,a894)))) % 169.26/169.07 [3503]E(f317(f298(x35031),f232(f906(x35031,a894))),f232(f906(f906(x35031,a894),a894))) % 169.26/169.07 [3504]E(f317(f73(f906(x35041,a894)),f178(f906(x35041,a894))),f232(f906(x35041,a894))) % 169.26/169.07 [3505]E(f317(f73(f906(x35051,a894)),f232(f906(x35051,a894))),f178(f906(x35051,a894))) % 169.26/169.07 [3507]P1(f317(f28(x35071),f178(f906(x35071,a894)))) % 169.26/169.07 [3509]E(f317(f292(a897,x35091),f317(a102,x35091)),f317(f317(f299(a897),x35091),f178(f906(a897,a894)))) % 169.26/169.07 [3510]E(f79(f905(a897,a897),f43(x35101,f2(a897))),f317(f317(f242(a897,a897),f2(a897)),x35101)) % 169.26/169.07 [3523]E(f317(f317(f299(a897),f317(a102,x35231)),f317(f291(a897),x35231)),f317(f291(a897),f317(a102,x35231))) % 169.26/169.07 [3527]P39(x35271,f178(f906(f905(x35271,x35271),a894))) % 169.26/169.07 [3528]P41(x35281,f178(f906(f905(x35281,x35281),a894))) % 169.26/169.07 [3531]P1(f317(f317(f224(a1),f2(a1)),f317(f90(a1),x35311))) % 169.26/169.07 [3538]E(f317(f317(f74(a897),f317(f179(a897),x35381)),f317(a102,f2(a897))),f317(f179(a897),f317(a102,x35381))) % 169.26/169.07 [3641]P42(f317(f300(a897,a1,f90(a1)),x36411)) % 169.26/169.07 [3680]P55(x36801,f178(f906(x36801,a894)),f178(f906(f905(x36801,x36801),a894))) % 169.26/169.07 [3698]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f23(a1),x36981),f72(a1))),f45(f317(f94(a1),a87),x36981)) % 169.26/169.07 [3750]P62(x37501,f317(f16(f906(x37501,a894),x37501),f317(f16(a894,x37501),a229))) % 169.26/169.07 [3762]E(f280(a897,f277(a897),x37621,x37621),f317(f317(f299(a897),x37621),f178(f906(a897,a894)))) % 169.26/169.07 [3951]P1(f317(f317(f319(f906(f905(a897,a897),a894)),f318(x39511)),a88)) % 169.26/169.07 [3976]P1(f317(f317(f319(f906(f905(a897,a897),a894)),f317(a98,x39761)),a88)) % 169.26/169.07 [4106]P27(x41061,f906(x41061,a894),f317(f317(f7(x41061,f906(x41061,a894),f906(x41061,a894)),f299(x41061)),f178(f906(x41061,a894))),f232(f906(x41061,a894))) % 169.26/169.07 [4586]~E(f317(f317(f74(a1),x45861),x45861),a87) % 169.26/169.07 [4599]~E(f317(a3,f317(a102,f317(a20,x45991))),f2(a89)) % 169.26/169.07 [4605]~P1(f317(a183,f317(f90(a1),x46051))) % 169.26/169.07 [4608]~P1(f317(f317(f225(a897),x46081),x46081)) % 169.26/169.07 [4617]~P1(f317(f317(f224(a897),f317(a102,x46171)),x46171)) % 169.26/169.07 [3457]E(f317(a95,f317(f73(a1),f317(f90(a1),x34571))),f2(a897)) % 169.26/169.07 [3460]E(f317(f317(f74(a1),f317(f73(a1),x34601)),x34601),f2(a1)) % 169.26/169.07 [3464]E(f317(f29(a1),f317(f292(a1,f2(a1)),x34641)),f317(a95,x34641)) % 169.26/169.07 [3475]E(f317(f317(f234(a897),f317(a102,f2(a897))),x34751),f317(a102,f2(a897))) % 169.26/169.07 [3568]E(f317(f271(x35681),f178(f906(f905(x35681,x35681),a894))),f178(f906(x35681,a894))) % 169.26/169.07 [3576]E(f32(f906(x35761,a894),f178(f906(f906(x35761,a894),a894))),f232(f906(x35761,a894))) % 169.26/169.07 [3577]E(f32(f906(x35771,a894),f232(f906(f906(x35771,a894),a894))),f178(f906(x35771,a894))) % 169.26/169.07 [3578]E(f31(f906(x35781,a894),f178(f906(f906(x35781,a894),a894))),f178(f906(x35781,a894))) % 169.26/169.07 [3579]E(f31(f906(x35791,a894),f232(f906(f906(x35791,a894),a894))),f232(f906(x35791,a894))) % 169.26/169.07 [3583]P1(f317(f317(f277(a897),f317(a102,f2(a897))),x35831)) % 169.26/169.07 [3624]E(f317(f317(f299(f898(x36241)),f103(x36241)),f178(f906(f898(x36241),a894))),f151(x36241,f178(f906(x36241,a894)))) % 169.26/169.07 [3625]E(f317(f317(f299(f898(x36251)),f103(x36251)),f178(f906(f898(x36251),a894))),f152(x36251,f103(f906(x36251,a894)))) % 169.26/169.07 [3664]E(f317(f317(f74(a897),f4(x36641)),f317(a102,f2(a897))),f4(f317(a3,f317(a102,f317(a20,x36641))))) % 169.26/169.07 [3689]E(f317(f29(a1),f317(f300(a897,a1,f90(a1)),x36891)),f317(f29(a897),x36891)) % 169.26/169.07 [3692]P1(f317(f317(f224(a897),x36921),f317(f317(f75(a897),x36921),x36921))) % 169.26/169.07 [3728]E(f317(f300(a1,a897,a95),f293(a1,f2(a1),f317(f90(a1),x37281))),f317(f291(a897),x37281)) % 169.26/169.07 [3745]E(f317(f317(f30(a897),f317(a102,f2(a897))),f317(f94(a897),x37451)),f317(a95,f317(f317(f30(a1),f72(a1)),f317(f94(a1),x37451)))) % 169.26/169.07 [3747]E(f317(f162(a897),f129(a897,f317(f292(a897,f2(a897)),f317(a102,x37471)))),f317(f291(a897),x37471)) % 169.26/169.07 [3748]E(f317(f317(f74(a897),f317(f179(a89),x37481)),f317(a102,f2(a897))),f317(f179(a89),f317(a3,f317(a102,f317(a20,x37481))))) % 169.26/169.07 [3768]P41(x37681,f297(x37681,f178(f906(f905(x37681,x37681),a894)))) % 169.26/169.07 [3769]P54(x37691,f297(x37691,f178(f906(f905(x37691,x37691),a894)))) % 169.26/169.07 [3770]E(f317(f300(a1,a897,a95),f317(f300(a897,a1,f90(a1)),x37701)),x37701) % 169.26/169.07 [3800]E(f317(f317(f299(a897),f2(a897)),f317(f300(a897,a897,a102),f317(f272(a897),x38001))),f317(f272(a897),f317(a102,x38001))) % 169.26/169.07 [3806]P57(x38061,x38061,f297(x38061,f178(f906(f905(x38061,x38061),a894)))) % 169.26/169.07 [3812]P1(f317(a183,f317(f73(a1),f317(f90(a1),f317(a102,x38121))))) % 169.26/169.07 [3822]E(f317(f317(f23(f906(a897,a894)),f317(f273(a897),x38221)),f317(f317(f299(a897),x38221),f178(f906(a897,a894)))),f317(f273(a897),f317(a102,x38221))) % 169.26/169.07 [3839]E(f317(f317(f74(a1),f317(f317(f23(a1),a77),x38391)),f317(f317(f23(a1),a77),x38391)),f317(f317(f23(a1),a77),f317(f317(f74(a1),x38391),x38391))) % 169.26/169.07 [3853]E(f317(f317(f299(f906(x38531,a894)),f178(f906(x38531,a894))),f178(f906(f906(x38531,a894),a894))),f317(f298(x38531),f178(f906(x38531,a894)))) % 169.26/169.07 [3881]E(f317(f317(f23(f906(a897,a894)),f317(f294(a897),x38811)),f317(f317(f299(a897),f317(a102,x38811)),f178(f906(a897,a894)))),f317(f294(a897),f317(a102,x38811))) % 169.26/169.07 [3989]E(f317(f94(a897),f317(f317(f74(a1),x39891),x39891)),f317(f317(f80(a897,a897),f317(f94(a897),x39891)),f317(f317(f18(a897,a897,a897),f74(a897)),f5(a897)))) % 169.26/169.07 [4360]P17(x43601,f906(x43601,a894),f317(f317(f8(f906(x43601,a894),f906(f906(x43601,a894),f906(x43601,a894)),x43601),f317(f7(f906(x43601,a894),f906(x43601,a894),f906(x43601,a894)),f23(f906(x43601,a894)))),f317(f317(f7(x43601,f906(x43601,a894),f906(x43601,a894)),f299(x43601)),f178(f906(x43601,a894))))) % 169.26/169.07 [4447]E(f317(f252(f905(a1,a1)),f317(f247(a1,a1,a894),f317(f317(f8(f906(a1,a894),f906(a1,a894),a1),f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),x44471)))),f225(a1)))),f96(x44471)) % 169.26/169.07 [4480]E(f317(f252(f905(a1,a1)),f317(f247(a1,a1,a894),f317(f317(f18(a1,f906(a1,a894),f906(a1,a894)),f317(f317(f8(f906(a894,a894),f906(f906(a1,a894),f906(a1,a894)),a1),f8(a894,a894,a1)),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),x44801)))),f225(a1)))),f97(x44801)) % 169.26/169.07 [4533]E(f317(f252(f905(f906(x45331,a894),f906(x45331,a894))),f317(f247(f906(x45331,a894),f906(x45331,a894),a894),f317(f317(f7(f906(x45331,a894),f906(f906(x45331,a894),a894),f906(f906(x45331,a894),a894)),f317(f317(f8(f906(f906(x45331,a894),f906(a894,a894)),f906(f906(f906(x45331,a894),a894),f906(f906(x45331,a894),a894)),f906(x45331,a894)),f18(f906(x45331,a894),a894,a894)),f317(f317(f8(f906(f906(x45331,a894),a894),f906(f906(x45331,a894),f906(a894,a894)),f906(x45331,a894)),f317(f8(a894,f906(a894,a894),f906(x45331,a894)),a315)),f225(f906(x45331,a894))))),f28(x45331)))),f304(x45331)) % 169.26/169.07 [4621]~P1(f317(f28(f898(x46211)),f232(f906(f898(x46211),a894)))) % 169.26/169.07 [4633]~P1(f317(f317(f224(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x46331))))) % 169.26/169.07 [3603]E(f317(f317(f23(a1),f317(f317(f74(a1),x36031),a87)),a87),x36031) % 169.26/169.07 [3617]E(f317(f162(a897),f129(a897,f317(f292(a897,f2(a897)),x36171))),f317(f272(a897),x36171)) % 169.26/169.07 [3860]E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x38601)),x38601),f317(f317(f23(a1),f317(f317(f74(a1),x38601),x38601)),a87)) % 169.26/169.07 [3908]E(f317(f276(x39081,x39081),f297(x39081,f178(f906(f905(x39081,x39081),a894)))),f297(x39081,f178(f906(f905(x39081,x39081),a894)))) % 169.26/169.07 [3954]P1(f317(f317(f224(a897),x39541),f317(f317(f75(a897),x39541),f317(f317(f75(a897),x39541),x39541)))) % 169.26/169.07 [4223]P1(f317(f28(a897),f317(f252(a897),f317(f317(f7(a897,a897,a894),f224(a897)),x42231)))) % 169.26/169.07 [4224]P1(f317(f28(a897),f317(f252(a897),f317(f317(f7(a897,a897,a894),f225(a897)),x42241)))) % 169.26/169.07 [4496]E(f317(f252(f905(x44961,x44961)),f317(f317(f8(f906(x44961,a894),a894,f905(x44961,x44961)),f81(x44961)),f317(f317(f7(f905(x44961,x44961),f906(x44961,f905(x44961,x44961)),f906(x44961,a894)),f317(f317(f8(f906(f905(x44961,x44961),a894),f906(f906(x44961,f905(x44961,x44961)),f906(x44961,a894)),f905(x44961,x44961)),f8(f905(x44961,x44961),a894,x44961)),a314)),f317(f317(f18(x44961,x44961,f905(x44961,x44961)),f242(x44961,x44961)),f5(x44961))))),f297(x44961,f178(f906(f905(x44961,x44961),a894)))) % 169.26/169.07 [4623]~E(f317(f317(f23(a1),f317(f317(f74(a1),x46231),x46231)),a87),a77) % 169.26/169.07 [4625]~E(f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x46251)),x46251),f2(a1)) % 169.26/169.07 [3999]E(f317(f317(f74(a1),f317(f317(f23(a1),a87),x39991)),f317(f317(f23(a1),a87),x39991)),f317(f317(f23(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x39991),x39991)),a87))) % 169.26/169.07 [4114]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),a87),x41141)),f317(f317(f23(a1),a87),x41141))),a87),f317(f317(f23(a1),a87),f317(f317(f74(a1),x41141),x41141))) % 169.26/169.07 [4146]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),x41461),a87)),f317(f317(f74(a1),x41461),a87))),a87),f317(f317(f74(a1),f317(f317(f74(a1),x41461),x41461)),a87)) % 169.26/169.07 [4184]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),a87),x41841)),f317(f317(f23(a1),a87),x41841))),a87),f317(f317(f23(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x41841),x41841)),a87))) % 169.26/169.07 [4281]E(f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x42811),f2(a897))),f178(f906(f905(a897,a897),a894))))),f317(f90(a1),x42811)) % 169.26/169.07 [4291]E(f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),f322(x42911)),f379(x42911))),f178(f906(f905(a897,a897),a894))))),x42911) % 169.26/169.07 [4324]E(f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),f2(a1)))),x43241)),f317(f300(a897,a1,f90(a1)),f317(f252(a897),f317(f317(f8(a1,a894,a897),x43241),f90(a1))))) % 169.26/169.07 [4368]P42(f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),f2(a1)))),x43681))) % 169.26/169.07 [4388]P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),x43881),f178(f906(f905(a897,a897),a894)))),a66)) % 169.26/169.07 [4393]E(f317(f300(a1,a897,a95),f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),f2(a1)))),f317(f317(f8(a897,a894,a1),x43931),a95)))),f317(f252(a897),x43931)) % 169.26/169.07 [4548]E(f302(a897,f317(f317(f34(f905(a897,a897),f906(a897,a894)),f317(a98,x45481)),f317(f247(a897,a897,f906(a897,a894)),f317(f317(f7(a897,f906(a897,a894),f906(a897,f906(a897,a894))),f317(f317(f8(f906(a897,f906(f906(a897,a894),f906(a897,a894))),f906(f906(a897,a894),f906(a897,f906(a897,a894))),a897),f7(a897,f906(a897,a894),f906(a897,a894))),f317(f317(f8(f906(a897,a897),f906(a897,f906(f906(a897,a894),f906(a897,a894))),a897),f317(f8(a897,f906(f906(a897,a894),f906(a897,a894)),a897),f299(a897))),f23(a897)))),f178(f906(a897,a894)))))),f317(a95,x45481)) % 169.26/169.07 [4044]E(f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x40441),x40441)),a87)),a87),f317(f317(f74(a1),x40441),x40441)) % 169.26/169.07 [4094]E(f317(f317(f23(a1),f317(f317(f23(a1),f317(f317(f74(a1),x40941),x40941)),a87)),a87),f317(f317(f74(a1),f317(f317(f23(a1),x40941),a87)),f317(f317(f23(a1),x40941),a87))) % 169.26/169.07 [4297]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),f317(f73(a1),x42971)),a87)),f317(f317(f74(a1),f317(f73(a1),x42971)),a87))),a87),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42971),x42971)),a87))) % 169.26/169.07 [4341]E(f317(f317(f74(a897),x43411),f317(f94(a897),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,x43411))) % 169.26/169.07 [4342]E(f317(f317(f75(a897),x43421),f317(f94(a897),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(a897),x43421),x43421)) % 169.26/169.07 [4343]E(f317(f317(f30(a897),f317(f317(f74(a897),x43431),x43431)),f317(f94(a897),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)))),x43431) % 169.26/169.07 [4421]E(f40(a897,f317(a102,f317(a102,x44211)),f317(f94(a897),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(a897,x44211,f317(f94(a897),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))))) % 169.26/169.07 [4562]E(f317(a83,f317(f317(f34(f905(a897,a897),f906(f905(a897,a897),a894)),f317(a98,x45621)),f317(f247(a897,a897,f906(f905(a897,a897),a894)),f317(f317(f8(f906(a897,f906(f905(a897,a897),a894)),f906(a897,f906(f905(a897,a897),a894)),a897),f317(f8(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894),a897),f275(f905(a897,a897),f905(a897,a897),a99))),f317(f317(f7(a897,f906(f905(a897,a897),a894),f906(a897,f906(f905(a897,a897),a894))),f317(f317(f8(f906(a897,f906(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f906(f906(f905(a897,a897),a894),f906(a897,f906(f905(a897,a897),a894))),a897),f7(a897,f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f8(f906(a897,f905(a897,a897)),f906(a897,f906(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),a897),f317(f8(f905(a897,a897),f906(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),a897),f299(f905(a897,a897)))),f317(f7(a897,a897,f905(a897,a897)),f242(a897,a897))))),f178(f906(f905(a897,a897),a894))))))),f317(f73(a1),x45621)) % 169.26/169.07 [4416]E(f317(f317(f74(a897),f317(f94(a897),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)))),x44161),f317(a102,f317(a102,x44161))) % 169.26/169.07 [4417]E(f317(f317(f75(a897),f317(f94(a897),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)))),x44171),f317(f317(f74(a897),x44171),x44171)) % 169.26/169.07 [4453]E(f317(f317(f30(a897),f317(a102,f317(a102,x44531))),f317(f94(a897),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(a897),x44531),f317(f94(a897),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)))))) % 169.26/169.07 [4503]E(f317(f317(f74(a897),f317(f94(a897),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))),x45031),f317(a102,f317(a102,f317(a102,x45031)))) % 169.26/169.07 [4569]E(f317(f247(a1,a1,f905(a1,a1)),f317(f317(f18(a1,f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),f317(f317(f8(f906(a1,f906(f905(a1,a1),f905(a1,a1))),f906(f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),a1),f18(a1,f905(a1,a1),f905(a1,a1))),f317(f317(f8(f906(a1,f905(a1,a1)),f906(a1,f906(f905(a1,a1),f905(a1,a1))),a1),f317(f18(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f317(f317(f8(a894,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(a1,a1))),f317(f317(f8(a1,a894,a1),f317(f224(a1),f2(a1))),f317(f317(f7(a1,a1,a1),f23(a1)),x45691))))),f317(f317(f7(a1,f906(a1,a1),f906(a1,f905(a1,a1))),f317(f317(f8(f906(a1,f905(a1,a1)),f906(f906(a1,a1),f906(a1,f905(a1,a1))),a1),f8(a1,f905(a1,a1),a1)),f317(f317(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f317(f317(f7(a1,a1,a1),f317(f317(f8(a1,f906(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)),x45691))))),f317(f317(f8(a1,f906(a1,f905(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(x45691)) % 169.26/169.07 [3283]P108(f904(x32831,x32832)) % 169.26/169.07 [3284]P108(f902(x32841,x32842)) % 169.26/169.07 [3285]P108(f905(x32851,x32852)) % 169.26/169.07 [3303]P16(a1,f168(x33031,x33032)) % 169.26/169.07 [3304]P39(x33041,f143(x33041,x33042)) % 169.26/169.07 [3305]P40(x33051,f253(x33051,x33052)) % 169.26/169.07 [3306]P40(x33061,f297(x33061,x33062)) % 169.26/169.07 [3307]P41(x33071,f253(x33071,x33072)) % 169.26/169.07 [3308]P54(x33081,f253(x33081,x33082)) % 169.26/169.07 [3371]P33(x33711,x33712,f103(x33711)) % 169.26/169.07 [3404]P55(x34041,x34042,f253(x34041,x34042)) % 169.26/169.07 [3405]P57(x34051,x34051,f253(x34051,x34052)) % 169.26/169.07 [3667]P27(x36671,x36671,f5(x36671),x36672) % 169.26/169.07 [3668]P27(x36681,x36681,f25(x36681),x36682) % 169.26/169.07 [3676]P34(x36761,x36762,f103(x36761),f103(x36761)) % 169.26/169.07 [3683]P27(f898(x36831),f898(x36831),f158(x36831),x36832) % 169.26/169.07 [4084]P28(x40841,x40841,f25(x40841),x40842,x40842) % 169.26/169.07 [4594]~P35(x45941,x45942,f103(x45941)) % 169.26/169.07 [4595]~P37(x45951,x45952,f103(x45951)) % 169.26/169.07 [3269]E(f317(f5(x32691),x32692),x32692) % 169.26/169.07 [3270]E(f317(f252(x32701),x32702),x32702) % 169.26/169.07 [3272]E(f317(f25(x32721),x32722),x32722) % 169.26/169.07 [3282]E(f317(f181(x32821),x32822),f105(x32821)) % 169.26/169.07 [3301]E(f79(x33011,f317(a314,x33012)),x33012) % 169.26/169.07 [3302]E(f84(x33021,f317(a314,x33022)),x33022) % 169.26/169.07 [3324]E(f317(f115(x33241,x33242),f109(x33241)),f2(a897)) % 169.26/169.07 [3327]E(f317(f126(x33271,x33272),f103(x33271)),f103(x33271)) % 169.26/169.07 [3347]E(f297(x33471,f297(x33471,x33472)),f297(x33471,x33472)) % 169.26/169.07 [3348]E(f142(x33481,f142(x33481,x33482)),f142(x33481,x33482)) % 169.26/169.07 [3366]E(f317(f317(f124(x33661),x33662),f103(x33661)),x33662) % 169.26/169.07 [3372]E(f163(x33721,x33722,f103(x33721)),x33722) % 169.26/169.07 [3373]E(f163(x33731,f103(x33731),x33732),x33732) % 169.26/169.07 [3374]E(f106(x33741,f109(x33741),x33742),x33742) % 169.26/169.07 [3375]E(f159(x33751,f2(a897),x33752),f103(x33751)) % 169.26/169.07 [3381]E(f317(f317(f165(x33811),x33812),f103(x33811)),f103(x33811)) % 169.26/169.07 [3382]E(f317(f317(f128(x33821),x33822),f103(x33821)),f103(x33821)) % 169.26/169.07 [3384]E(f145(x33841,x33842,f103(x33841)),f2(a897)) % 169.26/169.07 [3386]E(f160(x33861,x33862,f103(x33861)),f103(x33861)) % 169.26/169.07 [3387]E(f167(x33871,x33872,f103(x33871)),f103(x33871)) % 169.26/169.07 [3388]E(f166(x33881,f103(x33881),x33882),f103(x33881)) % 169.26/169.07 [3392]E(f317(f162(x33921),f142(x33921,x33922)),f317(f162(x33921),x33922)) % 169.26/169.07 [3395]E(f317(f274(x33951,x33951),f253(x33951,x33952)),x33952) % 169.26/169.07 [3396]E(f317(f254(x33961,x33961),f253(x33961,x33962)),x33962) % 169.26/169.07 [3403]E(f317(f276(x34031,x34031),f253(x34031,x34032)),f253(x34031,x34032)) % 169.26/169.07 [3416]E(f297(f898(x34161),f147(x34161,x34162)),f148(x34161,f297(x34161,x34162))) % 169.26/169.07 [3418]P1(f317(f127(a1),f168(x34181,x34182))) % 169.26/169.07 [3426]E(f317(f274(x34261,x34261),f297(x34261,x34262)),f232(f906(x34261,a894))) % 169.26/169.07 [3427]E(f317(f254(x34271,x34271),f297(x34271,x34272)),f232(f906(x34271,a894))) % 169.26/169.07 [3431]P1(f317(f127(x34311),f142(x34311,x34312))) % 169.26/169.07 [3433]P1(f317(f150(x34331,x34332),f103(x34331))) % 169.26/169.07 [3439]E(f317(f162(a1),f168(x34391,x34392)),f293(a1,x34391,x34392)) % 169.26/169.07 [3453]P58(x34531,f178(f906(x34531,a894)),x34532) % 169.26/169.07 [3458]E(f317(f246(a1,a1),f41(x34581,x34582)),f40(a1,x34581,x34582)) % 169.26/169.07 [3459]E(f317(f292(a897,x34591),f317(a102,x34592)),f293(a897,x34591,x34592)) % 169.26/169.07 [3474]E(f317(f317(f141(x34741),x34742),f103(x34741)),f130(x34741,x34742,f103(x34741))) % 169.26/169.07 [3486]E(f293(a897,f317(a102,x34861),x34862),f295(a897,x34861,x34862)) % 169.26/169.07 [3487]P55(x34871,f232(f906(x34871,a894)),f297(x34871,x34872)) % 169.26/169.07 [3549]E(f317(f317(f23(a897),x35491),f317(a102,x35492)),f317(f29(a897),f296(a897,x35492,x35491))) % 169.26/169.07 [3604]E(f156(x36041,x36042,f103(x36041)),f317(f317(f242(f898(x36041),f898(x36041)),f103(x36041)),f103(x36041))) % 169.26/169.07 [3622]E(f317(f247(x36221,x36222,f905(x36221,x36222)),f242(x36221,x36222)),f25(f905(x36221,x36222))) % 169.26/169.07 [3626]P1(f317(f317(f319(f898(x36261)),f103(x36261)),f151(x36261,x36262))) % 169.26/169.07 [3627]E(f317(f179(f898(x36271)),f104(x36271,x36272)),f317(f317(f23(a897),f317(f179(f898(x36271)),x36272)),f72(a897))) % 169.26/169.07 [3635]P1(f317(f28(a897),f296(a897,x36351,x36352))) % 169.26/169.07 [3636]P1(f317(f28(a897),f295(a897,x36361,x36362))) % 169.26/169.07 [3637]P1(f317(f28(a897),f293(a897,x36371,x36372))) % 169.26/169.07 [3638]P1(f317(f28(a1),f296(a1,x36381,x36382))) % 169.26/169.07 [3639]P1(f317(f28(a1),f295(a1,x36391,x36392))) % 169.26/169.07 [3640]P1(f317(f28(a1),f293(a1,x36401,x36402))) % 169.26/169.07 [3744]E(f317(f300(a897,a897,a102),f293(a897,x37441,x37442)),f293(a897,f317(a102,x37441),f317(a102,x37442))) % 169.26/169.07 [3764]E(f317(f317(f279(x37641,x37641,x37641),f297(x37641,x37642)),f297(x37641,x37642)),f297(x37641,x37642)) % 169.26/169.07 [3798]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x37981),x37982)),f40(a1,x37981,x37982)),f41(x37981,x37982)) % 169.26/169.07 [3799]E(f317(f317(f242(a89,a89),f317(f317(f30(a89),x37991),x37992)),f40(a89,x37991,x37992)),f21(x37991,x37992)) % 169.26/169.07 [3826]E(f317(f317(f242(a897,a897),f317(f317(f30(a897),x38261),x38262)),f40(a897,x38261,x38262)),f79(f905(a897,a897),f43(x38261,x38262))) % 169.26/169.07 [3877]P1(f317(f317(f225(a897),f317(f317(f23(a897),x38771),x38772)),f317(a102,x38771))) % 169.26/169.07 [3925]P40(x39251,f317(f317(f279(x39251,x39251,x39251),x39252),f297(x39251,x39252))) % 169.26/169.07 [3975]E(f317(f317(f74(a1),f317(f317(f75(a1),x39751),f317(f317(f30(a1),x39752),x39751))),f40(a1,x39752,x39751)),x39752) % 169.26/169.07 [3980]E(f317(f317(f34(a897,f906(f905(f898(x39801),f898(x39801)),a894)),f232(f906(a897,a894))),f133(x39801,x39802)),f135(x39801,x39802)) % 169.26/169.07 [4200]P1(f317(f317(f319(f905(f898(x42001),f898(x42001))),f317(f317(f242(f898(x42001),f898(x42001)),f103(x42001)),f103(x42001))),f148(x42001,x42002))) % 169.26/169.07 [4309]E(f243(x43091,x43091,x43091,a314,f243(x43091,x43091,x43091,x43092,a314)),x43092) % 169.26/169.07 [4353]E(f248(x43531,x43531,x43532,x43532,f5(x43531),f5(x43532)),f25(f905(x43531,x43532))) % 169.26/169.07 [4355]E(f248(x43551,x43551,x43552,x43552,f25(x43551),f25(x43552)),f25(f905(x43551,x43552))) % 169.26/169.07 [3365]E(f317(f158(x33651),f317(f158(x33651),x33652)),x33652) % 169.26/169.07 [3367]E(f317(f317(f128(x33671),f2(a897)),x33672),x33672) % 169.26/169.07 [3383]E(f317(f317(f165(x33831),f2(a897)),x33832),f103(x33831)) % 169.26/169.07 [3390]E(f317(f317(f124(x33901),f103(x33901)),x33902),x33902) % 169.26/169.07 [3399]E(f31(f906(x33991,a894),f317(f298(x33991),x33992)),x33992) % 169.26/169.07 [3401]E(f317(f162(x34011),f317(f157(x34011),x34012)),f317(f162(x34011),x34012)) % 169.26/169.07 [3402]E(f317(f162(x34021),f317(f158(x34021),x34022)),f317(f162(x34021),x34022)) % 169.26/169.07 [3407]E(f317(f317(f23(a89),x34071),x34072),f317(f317(a24,x34071),x34072)) % 169.26/169.07 [3420]E(f317(f317(f74(a897),x34201),x34202),f317(f317(f74(a897),x34202),x34201)) % 169.26/169.07 [3421]E(f317(f317(f74(a1),x34211),x34212),f317(f317(f74(a1),x34212),x34211)) % 169.26/169.07 [3422]E(f317(f317(f75(a897),x34221),x34222),f317(f317(f75(a897),x34222),x34221)) % 169.26/169.07 [3423]E(f317(f317(f75(a1),x34231),x34232),f317(f317(f75(a1),x34232),x34231)) % 169.26/169.07 [3445]E(f317(f317(f173(x34451,x34451),f2(a897)),x34452),f25(x34451)) % 169.26/169.07 [3446]E(f317(f179(f898(x34461)),f317(f157(x34461),x34462)),f317(f179(f898(x34461)),x34462)) % 169.26/169.07 [3447]E(f317(f179(f898(x34471)),f317(f158(x34471),x34472)),f317(f179(f898(x34471)),x34472)) % 169.26/169.07 [3448]E(f166(x34481,x34482,f178(f906(a897,a894))),f103(x34481)) % 169.26/169.07 [3449]E(f317(f317(f144(x34491,x34491),f5(x34491)),x34492),x34492) % 169.26/169.07 [3451]E(f317(f241(a1,a1),f41(x34511,x34512)),f317(f317(f30(a1),x34511),x34512)) % 169.26/169.07 [3468]E(f317(f179(f898(x34681)),f142(x34681,x34682)),f317(f29(x34681),f317(f162(x34681),x34682))) % 169.26/169.07 [3469]E(f317(f271(x34691),f317(f276(x34691,x34691),x34692)),f317(f271(x34691),x34692)) % 169.26/169.07 [3473]P1(f317(f28(x34731),f317(f162(x34731),x34732))) % 169.26/169.07 [3481]E(f317(f317(f74(a1),x34811),f317(f73(a1),x34812)),f317(f317(f23(a1),x34811),x34812)) % 169.26/169.07 [3488]E(f317(f300(x34881,x34881,f5(x34881)),x34882),x34882) % 169.26/169.07 [3489]E(f317(f300(x34891,x34891,f25(x34891)),x34892),x34892) % 169.26/169.07 [3490]E(f317(f301(x34901,x34901,f5(x34901)),x34902),x34902) % 169.26/169.07 [3491]E(f317(f301(x34911,x34911,f25(x34911)),x34912),x34912) % 169.26/169.07 [3492]P1(f317(f232(f906(x34921,a894)),x34922)) % 169.26/169.07 [3494]E(f317(f29(a897),f317(f292(a897,x34941),x34942)),f317(f317(f23(a897),x34942),x34941)) % 169.26/169.07 [3495]E(f317(f292(a897,f317(a102,x34951)),x34952),f296(a897,x34951,x34952)) % 169.26/169.07 [3508]E(f317(f317(f299(x35081),x35082),f178(f906(x35081,a894))),f317(f252(x35081),f317(a314,x35082))) % 169.26/169.07 [3513]E(f297(x35131,f317(f276(x35131,x35131),x35132)),f317(f276(x35131,x35131),f297(x35131,x35132))) % 169.26/169.07 [3518]E(f317(f317(f74(a897),f317(a102,x35181)),x35182),f317(f317(f74(a897),x35181),f317(a102,x35182))) % 169.26/169.07 [3519]E(f317(f317(f23(a897),f317(a102,x35191)),f317(a102,x35192)),f317(f317(f23(a897),x35191),x35192)) % 169.26/169.07 [3525]E(f50(x35251,f2(a897),x35252),f317(f317(f141(f898(x35251)),f103(x35251)),f103(f898(x35251)))) % 169.26/169.07 [3526]E(f317(f29(a897),f295(a897,x35261,x35262)),f317(f317(f23(a897),x35262),x35261)) % 169.26/169.07 [3535]P39(x35351,f317(f317(f278(a897,x35351),a230),x35352)) % 169.26/169.07 [3537]P16(a897,f129(a897,f317(f292(a897,x35371),x35372))) % 169.26/169.07 [3539]P1(f317(f28(a897),f317(f292(a897,x35391),x35392))) % 169.26/169.07 [3540]P1(f317(f28(a1),f317(f292(a1,x35401),x35402))) % 169.26/169.07 [3543]E(f317(f276(f898(x35431),f898(x35431)),f147(x35431,x35432)),f147(x35431,f317(f276(x35431,x35431),x35432))) % 169.26/169.07 [3545]E(f317(f292(a1,x35451),f317(f317(f74(a1),x35452),f72(a1))),f293(a1,x35451,x35452)) % 169.26/169.07 [3548]E(f317(f317(f30(a1),f317(f73(a1),x35481)),f317(f73(a1),x35482)),f317(f317(f30(a1),x35481),x35482)) % 169.26/169.07 [3556]E(f317(f317(f173(f905(x35561,x35561),a894),f72(a897)),x35562),x35562) % 169.26/169.07 [3558]E(f317(f317(f23(f906(x35581,a894)),x35582),f178(f906(x35581,a894))),x35582) % 169.26/169.07 [3559]E(f317(f317(f91(f906(x35591,a894)),x35592),f178(f906(x35591,a894))),x35592) % 169.26/169.07 [3560]E(f317(f317(f92(f906(x35601,a894)),x35602),f232(f906(x35601,a894))),x35602) % 169.26/169.07 [3561]E(f317(f241(a897,a897),f79(f905(a897,a897),f43(x35611,x35612))),f317(f317(f30(a897),x35611),x35612)) % 169.26/169.07 [3567]E(f293(a1,f317(f317(f74(a1),x35671),f72(a1)),x35672),f295(a1,x35671,x35672)) % 169.26/169.07 [3572]E(f317(f246(a897,a897),f79(f905(a897,a897),f43(x35721,x35722))),f40(a897,x35721,x35722)) % 169.26/169.07 [3582]P1(f317(f317(f319(x35821),x35822),f232(f906(x35821,a894)))) % 169.26/169.07 [3587]E(f317(f317(f23(a897),f317(a102,x35871)),x35872),f317(f29(a897),f293(a897,x35872,x35871))) % 169.26/169.07 [3613]E(f317(f317(f23(f906(x36131,a894)),x36132),f232(f906(x36131,a894))),f178(f906(x36131,a894))) % 169.26/169.07 [3614]E(f317(f317(f91(f906(x36141,a894)),x36142),f232(f906(x36141,a894))),f232(f906(x36141,a894))) % 169.26/169.07 [3615]E(f317(f317(f92(f906(x36151,a894)),x36152),f178(f906(x36151,a894))),f178(f906(x36151,a894))) % 169.26/169.07 [3630]E(f40(a1,f317(f90(a1),x36301),f317(f90(a1),x36302)),f317(f90(a1),f40(a897,x36301,x36302))) % 169.26/169.07 [3631]E(f40(a1,f317(f73(a1),x36311),f317(f73(a1),x36312)),f317(f73(a1),f40(a1,x36311,x36312))) % 169.26/169.07 [3642]E(f317(f179(f898(x36421)),f317(f161(x36421),x36422)),f317(f317(f23(a897),f317(f179(f898(x36421)),x36422)),f72(a897))) % 169.26/169.07 [3669]E(f317(f317(f30(a1),f40(a1,x36691,x36692)),x36692),f2(a1)) % 169.26/169.07 [3678]E(f317(a3,f40(a897,f317(a20,x36781),f317(a20,x36782))),f40(a89,x36781,x36782)) % 169.26/169.07 [3711]E(f317(a3,f317(f317(f23(a897),f317(a20,x37111)),f317(a20,x37112))),f317(f317(f23(a89),x37111),x37112)) % 169.26/169.07 [3712]E(f317(a3,f317(f317(f74(a897),f317(a20,x37121)),f317(a20,x37122))),f317(f317(f74(a89),x37121),x37122)) % 169.26/169.07 [3713]E(f317(a3,f317(f317(f75(a897),f317(a20,x37131)),f317(a20,x37132))),f317(f317(f75(a89),x37131),x37132)) % 169.26/169.07 [3714]E(f317(a3,f317(f317(f30(a897),f317(a20,x37141)),f317(a20,x37142))),f317(f317(f30(a89),x37141),x37142)) % 169.26/169.07 [3722]E(f317(f300(a897,a897,a102),f317(f292(a897,x37221),x37222)),f317(f292(a897,f317(a102,x37221)),f317(a102,x37222))) % 169.26/169.07 [3749]P1(f317(f43(x37491,x37492),f79(f905(a897,a897),f43(x37491,x37492)))) % 169.26/169.07 [3773]E(f40(a897,f317(a102,f40(a897,x37731,x37732)),x37732),f40(a897,f317(a102,x37731),x37732)) % 169.26/169.07 [3785]E(f317(f317(f35(f906(x37851,a894),f906(x37851,a894)),x37852),f5(f906(x37851,a894))),f32(f906(x37851,a894),x37852)) % 169.26/169.07 [3786]E(f317(f317(f34(f906(x37861,a894),f906(x37861,a894)),x37862),f5(f906(x37861,a894))),f31(f906(x37861,a894),x37862)) % 169.26/169.07 [3787]E(f317(f300(f898(x37871),f906(x37871,a894),f162(x37871)),f317(f162(f898(x37871)),f49(x37871,x37872))),f317(f298(x37871),f317(f162(x37871),x37872))) % 169.26/169.07 [3791]P1(f317(f317(f319(f906(x37911,a894)),x37912),f317(f298(x37911),x37912))) % 169.26/169.07 [3797]E(f40(a1,f317(f73(a1),f40(a1,x37971,x37972)),x37972),f40(a1,f317(f73(a1),x37971),x37972)) % 169.26/169.07 [3808]P1(f317(f317(f224(f906(x38081,a894)),x38082),f232(f906(x38081,a894)))) % 169.26/169.07 [3810]E(f317(f317(f279(x38101,x38101,x38101),f297(x38101,x38102)),f297(x38101,f297(x38101,x38102))),f297(x38101,x38102)) % 169.26/169.07 [3811]E(f317(f317(f91(f906(x38111,a894)),f317(f254(x38111,x38111),x38112)),f317(f274(x38111,x38111),x38112)),f317(f271(x38111),x38112)) % 169.26/169.07 [3832]E(f303(x38321,x38322,f232(f906(x38321,a894)),f232(f906(x38322,a894))),f232(f906(f904(x38321,x38322),a894))) % 169.26/169.07 [3882]P1(f317(f317(f224(a897),f40(a897,x38821,x38822)),x38821)) % 169.26/169.07 [3906]P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x39061))),f317(f90(a1),x39062))) % 169.26/169.07 [3930]P1(f317(f317(f319(f906(x39301,a894)),f178(f906(x39301,a894))),f317(f298(x39301),x39302))) % 169.26/169.07 [3935]E(f297(x39351,f317(f317(f279(x39351,x39351,x39351),x39352),f297(x39351,x39352))),f297(x39351,x39352)) % 169.26/169.07 [3938]E(f317(f317(f279(x39381,x39381,x39381),f297(x39381,x39382)),x39382),f317(f317(f279(x39381,x39381,x39381),x39382),f297(x39381,x39382))) % 169.26/169.07 [3940]E(f317(a95,f317(f317(f74(a1),f317(f317(f23(a1),x39401),x39402)),f72(a1))),f317(f29(a1),f293(a1,x39402,x39401))) % 169.26/169.07 [3955]E(f317(f274(x39551,x39551),f317(f317(f279(x39551,x39551,x39551),x39552),f297(x39551,x39552))),f317(f274(x39551,x39551),x39552)) % 169.26/169.07 [3956]E(f317(f254(x39561,x39561),f317(f317(f279(x39561,x39561,x39561),x39562),f297(x39561,x39562))),f317(f254(x39561,x39561),x39562)) % 169.26/169.07 [3974]E(f317(f132(f898(x39741),f898(x39741),f124(x39741),f103(x39741)),f159(f898(x39741),x39742,f103(x39741))),f103(x39741)) % 169.26/169.07 [3984]P27(a897,a897,f317(f317(f7(a897,a897,a897),f74(a897)),x39841),x39842) % 169.26/169.07 [3986]P16(a897,f317(f158(a897),f317(f317(f144(f898(x39861),a897),f179(f898(x39861))),f169(x39861,x39862)))) % 169.26/169.07 [4016]P54(x40161,f317(f317(f91(f906(f905(x40161,x40161),a894)),x40162),f317(f276(x40161,x40161),x40162))) % 169.26/169.07 [4017]P54(x40171,f317(f317(f92(f906(f905(x40171,x40171),a894)),x40172),f317(f276(x40171,x40171),x40172))) % 169.26/169.07 [4028]P1(f317(f317(f225(a1),f317(f73(a1),f317(f90(a1),f317(a102,x40281)))),f317(f90(a1),x40282))) % 169.26/169.07 [4073]E(f317(f132(f898(x40731),x40731,f317(f7(x40731,f898(x40731),f898(x40731)),f141(x40731)),f103(x40731)),x40732),f317(f158(x40731),x40732)) % 169.26/169.07 [4121]P1(f317(f317(f224(f906(f905(f898(x41211),f898(x41211)),a894)),f148(x41211,x41212)),f297(f898(x41211),f147(x41211,x41212)))) % 169.26/169.07 [4150]P1(f317(f43(x41501,x41502),f317(f317(f242(a897,a897),f317(f317(f30(a897),x41501),x41502)),f40(a897,x41501,x41502)))) % 169.26/169.07 [4162]P1(f317(f317(f224(f906(f905(f898(x41621),f898(x41621)),a894)),f147(x41621,f297(x41621,x41622))),f297(f898(x41621),f147(x41621,x41622)))) % 169.26/169.07 [4378]E(f317(f317(f249(f905(a89,a89),a89,f905(a89,a89),f905(x43781,f905(a89,a89))),f257(f317(f155(a89),f317(f317(f144(f905(a89,x43781),a89),f241(a89,x43781)),x43782)))),f317(f317(f8(x43781,f906(f905(a89,a89),f905(x43781,f905(a89,a89))),a89),f242(x43781,f905(a89,a89))),f258(x43781,x43782))),f256(x43781,x43782)) % 169.26/169.07 [4455]E(f213(a897,f905(x44551,f899(x44551)),f2(a897),f317(f247(x44551,f899(x44551),a897),f317(f16(f906(f899(x44551),a897),x44551),f317(f317(f7(f899(x44551),a897,a897),f317(f317(f8(a897,f906(a897,a897),f899(x44551)),f74(a897)),f179(f899(x44551)))),f72(a897)))),f317(f125(x44551),x44552)),f317(f179(f899(x44551)),x44552)) % 169.26/169.07 [4561]E(f317(f247(f906(f905(x45611,x45611),a894),f906(f905(x45611,x45611),a894),f906(f906(x45612,x45611),f905(f906(f905(x45612,x45612),a894),f906(f905(x45612,x45612),a894)))),f317(f317(f7(f906(f905(x45611,x45611),a894),f906(f906(f905(x45611,x45611),a894),f906(f906(x45612,x45611),f906(f905(x45612,x45612),a894))),f906(f906(f905(x45611,x45611),a894),f906(f906(x45612,x45611),f905(f906(f905(x45612,x45612),a894),f906(f905(x45612,x45612),a894))))),f317(f317(f8(f906(f906(f906(x45612,x45611),f906(f905(x45612,x45612),a894)),f906(f906(x45612,x45611),f905(f906(f905(x45612,x45612),a894),f906(f905(x45612,x45612),a894)))),f906(f906(f906(f905(x45611,x45611),a894),f906(f906(x45612,x45611),f906(f905(x45612,x45612),a894))),f906(f906(f905(x45611,x45611),a894),f906(f906(x45612,x45611),f905(f906(f905(x45612,x45612),a894),f906(f905(x45612,x45612),a894))))),f906(f905(x45611,x45611),a894)),f8(f906(f906(x45612,x45611),f906(f905(x45612,x45612),a894)),f906(f906(x45612,x45611),f905(f906(f905(x45612,x45612),a894),f906(f905(x45612,x45612),a894))),f906(f905(x45611,x45611),a894))),f317(f317(f8(f906(f906(x45612,x45611),f906(f906(f905(x45612,x45612),a894),f905(f906(f905(x45612,x45612),a894),f906(f905(x45612,x45612),a894)))),f906(f906(f906(x45612,x45611),f906(f905(x45612,x45612),a894)),f906(f906(x45612,x45611),f905(f906(f905(x45612,x45612),a894),f906(f905(x45612,x45612),a894)))),f906(f905(x45611,x45611),a894)),f18(f906(x45612,x45611),f906(f905(x45612,x45612),a894),f905(f906(f905(x45612,x45612),a894),f906(f905(x45612,x45612),a894)))),f317(f317(f8(f906(f906(x45612,x45611),f906(f905(x45612,x45612),a894)),f906(f906(x45612,x45611),f906(f906(f905(x45612,x45612),a894),f905(f906(f905(x45612,x45612),a894),f906(f905(x45612,x45612),a894)))),f906(f905(x45611,x45611),a894)),f317(f8(f906(f905(x45612,x45612),a894),f906(f906(f905(x45612,x45612),a894),f905(f906(f905(x45612,x45612),a894),f906(f905(x45612,x45612),a894))),f906(x45612,x45611)),f242(f906(f905(x45612,x45612),a894),f906(f905(x45612,x45612),a894)))),f278(x45611,x45612))))),f278(x45611,x45612))),f68(x45611,x45612)) % 169.26/169.07 [4606]~E(f317(f298(x46061),x46062),f178(f906(f906(x46061,a894),a894))) % 169.26/169.07 [4616]~P1(f317(f317(f162(x46161),f103(x46161)),x46162)) % 169.26/169.07 [4620]~P1(f317(f317(f319(x46201),x46202),f178(f906(x46201,a894)))) % 169.26/169.07 [4628]~P1(f317(f317(f225(f906(x46281,a894)),x46282),f178(f906(x46281,a894)))) % 169.26/169.07 [3497]E(f317(f317(f23(a897),x34971),f317(f317(f74(a897),x34971),x34972)),f2(a897)) % 169.26/169.07 [3500]E(f317(f317(f91(f906(x35001,a894)),x35002),x35002),x35002) % 169.26/169.07 [3501]E(f317(f317(f92(f906(x35011,a894)),x35012),x35012),x35012) % 169.26/169.07 [3529]E(f317(f317(f23(f906(x35291,a894)),x35292),x35292),f178(f906(x35291,a894))) % 169.26/169.07 [3532]E(f317(f133(x35321,x35322),f2(a897)),f178(f906(f905(f898(x35321),f898(x35321)),a894))) % 169.26/169.07 [3533]E(f317(f317(f74(a897),x35331),f317(a102,x35332)),f317(a102,f317(f317(f74(a897),x35331),x35332))) % 169.26/169.07 [3544]E(f184(f317(f90(a1),x35441),f317(f90(a1),x35442)),f317(f90(a1),f317(f317(f23(a897),x35441),x35442))) % 169.26/169.07 [3547]E(f317(f317(f30(a1),f317(f73(a1),x35471)),x35472),f317(f317(f30(a1),x35471),f317(f73(a1),x35472))) % 169.26/169.07 [3551]E(f317(f29(a1),f317(f292(a1,x35511),x35512)),f317(a95,f317(f317(f23(a1),x35512),x35511))) % 169.26/169.07 [3554]E(f317(f317(f74(a897),f317(a102,x35541)),x35542),f317(a102,f317(f317(f74(a897),x35541),x35542))) % 169.26/169.07 [3557]E(f317(f73(f906(x35571,a894)),f317(f73(f906(x35571,a894)),x35572)),x35572) % 169.26/169.07 [3569]E(f169(x35691,f317(f317(f141(f898(x35691)),f103(x35691)),x35692)),f169(x35691,x35692)) % 169.26/169.07 [3573]E(f317(f317(f74(a897),x35731),f317(f317(f75(a897),x35731),x35732)),f317(f317(f75(a897),x35731),f317(a102,x35732))) % 169.26/169.07 [3580]E(f317(f317(a24,f317(a3,x35801)),f317(a3,x35802)),f317(a3,f317(f317(f23(a897),x35801),x35802))) % 169.26/169.07 [3595]E(f317(f317(f75(a1),f317(f73(a1),x35951)),x35952),f317(f73(a1),f317(f317(f75(a1),x35951),x35952))) % 169.26/169.07 [3597]E(f317(f317(f234(a1),f317(f90(a1),x35971)),x35972),f317(f90(a1),f317(f317(f234(a897),x35971),x35972))) % 169.26/169.07 [3598]E(f317(f317(f74(a89),f317(a3,x35981)),f317(a3,x35982)),f317(a3,f317(f317(f74(a897),x35981),x35982))) % 169.26/169.07 [3599]E(f317(f317(f75(a89),f317(a3,x35991)),f317(a3,x35992)),f317(a3,f317(f317(f75(a897),x35991),x35992))) % 169.26/169.07 [3600]E(f317(f317(f228(a897),f317(a102,x36001)),f317(a102,x36002)),f317(a102,f317(f317(f228(a897),x36001),x36002))) % 169.26/169.07 [3601]E(f317(f317(f223(a897),f317(a102,x36011)),f317(a102,x36012)),f317(a102,f317(f317(f223(a897),x36011),x36012))) % 169.26/169.07 [3606]E(f317(f162(a897),f129(a897,f317(f292(a897,x36061),x36062))),f317(f292(a897,x36061),x36062)) % 169.26/169.07 [3607]E(f302(x36071,f317(f317(f299(x36071),x36072),f178(f906(x36071,a894)))),x36072) % 169.26/169.07 [3611]E(f317(f274(x36111,x36112),f178(f906(f905(x36111,x36112),a894))),f178(f906(x36112,a894))) % 169.26/169.07 [3612]E(f317(f254(x36121,x36122),f178(f906(f905(x36121,x36122),a894))),f178(f906(x36121,a894))) % 169.26/169.07 [3616]E(f317(a95,f317(f317(f23(a1),x36161),x36162)),f317(f29(a1),f295(a1,x36162,x36161))) % 169.26/169.07 [3621]E(f317(f317(f74(a897),x36211),f317(f317(f75(a897),x36212),x36211)),f317(f317(f75(a897),f317(a102,x36212)),x36211)) % 169.26/169.07 [3623]E(f317(f317(f55(x36231),f178(f906(x36231,a894))),x36232),f178(f906(f906(x36231,a894),a894))) % 169.26/169.07 [3632]E(f317(f179(f898(a897)),f129(a897,f317(f292(a897,x36321),x36322))),f317(f317(f23(a897),x36322),x36321)) % 169.26/169.07 [3647]E(f317(f317(f91(f906(x36471,a894)),f178(f906(x36471,a894))),x36472),x36472) % 169.26/169.07 [3648]E(f317(f317(f92(f906(x36481,a894)),f232(f906(x36481,a894))),x36482),x36482) % 169.26/169.07 [3651]E(f317(f317(f74(a1),f317(f73(a1),x36511)),f317(f73(a1),x36512)),f317(f73(a1),f317(f317(f74(a1),x36511),x36512))) % 169.26/169.07 [3653]E(f317(f317(f74(a1),f317(f94(a1),x36531)),f317(f94(a1),x36532)),f317(f94(a1),f317(f317(f74(a1),x36531),x36532))) % 169.26/169.07 [3655]E(f317(f317(f74(a1),f317(f90(a1),x36551)),f317(f90(a1),x36552)),f317(f90(a1),f317(f317(f74(a897),x36551),x36552))) % 169.26/169.07 [3656]E(f317(f317(f75(a1),f317(f94(a1),x36561)),f317(f94(a1),x36562)),f317(f94(a1),f317(f317(f75(a1),x36561),x36562))) % 169.26/169.07 [3658]E(f317(f317(f75(a1),f317(f90(a1),x36581)),f317(f90(a1),x36582)),f317(f90(a1),f317(f317(f75(a897),x36581),x36582))) % 169.26/169.07 [3659]E(f317(f317(f30(a1),f317(f90(a1),x36591)),f317(f90(a1),x36592)),f317(f90(a1),f317(f317(f30(a897),x36591),x36592))) % 169.26/169.07 [3679]E(f317(f317(f6(x36791,a897),f317(f16(a897,x36791),f72(a897))),x36792),f317(f29(x36791),x36792)) % 169.26/169.07 [3684]E(f317(f73(a1),f40(a1,f317(f73(a1),x36841),x36842)),f40(a1,x36841,f317(f73(a1),x36842))) % 169.26/169.07 [3686]E(f317(f162(a1),f168(x36861,f317(f317(f23(a1),x36862),f72(a1)))),f317(f292(a1,x36861),x36862)) % 169.26/169.07 [3690]P1(f317(f317(f224(a897),x36901),f317(f317(f74(a897),x36902),x36901))) % 169.26/169.07 [3691]P1(f317(f317(f224(a897),x36911),f317(f317(f74(a897),x36911),x36912))) % 169.26/169.07 [3694]E(f317(f317(f23(f906(x36941,a894)),f178(f906(x36941,a894))),x36942),f178(f906(x36941,a894))) % 169.26/169.07 [3695]E(f317(f317(f91(f906(x36951,a894)),f232(f906(x36951,a894))),x36952),f232(f906(x36951,a894))) % 169.26/169.07 [3696]E(f317(f317(f92(f906(x36961,a894)),f178(f906(x36961,a894))),x36962),f178(f906(x36961,a894))) % 169.26/169.07 [3703]E(f317(f317(f242(a1,a1),x37031),f317(f73(a1),x37032)),f317(a46,f317(f317(f242(a1,a1),x37031),x37032))) % 169.26/169.07 [3704]E(f317(f292(a1,f317(f317(f74(a1),x37041),f72(a1))),x37042),f296(a1,x37041,x37042)) % 169.26/169.07 [3715]E(f317(f317(f75(a897),x37151),f317(f317(f30(a897),x37152),x37151)),f317(f317(f23(a897),x37152),f40(a897,x37152,x37151))) % 169.26/169.07 [3716]E(f317(f317(f75(a1),x37161),f317(f317(f30(a1),x37162),x37161)),f317(f317(f23(a1),x37162),f40(a1,x37162,x37161))) % 169.26/169.07 [3719]E(f317(f162(a1),f168(f317(f317(f74(a1),x37191),f72(a1)),x37192)),f295(a1,x37191,x37192)) % 169.26/169.07 [3723]P1(f317(f317(f224(f906(x37231,a894)),x37232),x37232)) % 169.26/169.07 [3726]E(f317(f317(f91(f906(x37261,a894)),x37262),f317(f73(f906(x37261,a894)),x37262)),f232(f906(x37261,a894))) % 169.26/169.07 [3727]E(f317(f317(f92(f906(x37271,a894)),x37272),f317(f73(f906(x37271,a894)),x37272)),f178(f906(x37271,a894))) % 169.26/169.07 [3735]E(f317(f317(f23(a897),f317(f317(f23(a897),x37351),f72(a897))),x37352),f317(f317(f23(a897),x37351),f317(a102,x37352))) % 169.26/169.07 [3741]E(f317(f317(f23(f906(x37411,a894)),f232(f906(x37411,a894))),x37412),f317(f73(f906(x37411,a894)),x37412)) % 169.26/169.07 [3742]E(f317(f317(f23(a1),f317(f94(a1),x37421)),f317(f94(a1),x37422)),f317(f94(a1),f317(f317(f74(a1),x37421),f317(f73(a1),x37422)))) % 169.26/169.07 [3755]E(f317(f162(a897),f129(a897,f317(f292(a897,x37551),f317(a102,x37552)))),f293(a897,x37551,x37552)) % 169.26/169.07 [3771]E(f317(f179(f898(f898(x37711))),f49(x37711,x37712)),f317(f317(f234(a897),f317(a102,f317(a102,f2(a897)))),f317(f179(f898(x37711)),x37712))) % 169.26/169.07 [3789]E(f317(f317(f173(f905(x37891,x37891),a894),f2(a897)),x37892),f297(x37891,f178(f906(f905(x37891,x37891),a894)))) % 169.26/169.07 [3793]P1(f317(f127(a897),f129(a897,f317(f292(a897,x37931),x37932)))) % 169.26/169.07 [3809]E(f317(f300(a1,a897,a95),f293(a1,f317(f90(a1),x38091),f317(f90(a1),x38092))),f293(a897,x38091,x38092)) % 169.26/169.07 [3818]E(f175(a897,f2(a897),f5(a897),f317(f317(f23(a897),x38181),x38182)),f317(f317(f23(a897),x38181),f317(a102,x38182))) % 169.26/169.07 [3819]E(f317(a95,f317(f317(f23(a1),x38191),f317(f317(f74(a1),x38192),f72(a1)))),f317(f29(a1),f296(a1,x38192,x38191))) % 169.26/169.07 [3854]E(f317(f317(f144(a897,a897),a102),f129(a897,f317(f292(a897,x38541),x38542))),f129(a897,f317(f292(a897,f317(a102,x38541)),f317(a102,x38542)))) % 169.26/169.07 [3862]E(f317(f162(a1),f168(f317(f317(f74(a1),x38621),f72(a1)),f317(f317(f23(a1),x38622),f72(a1)))),f296(a1,x38621,x38622)) % 169.26/169.07 [3874]P1(f317(f317(f224(f906(x38741,a894)),f178(f906(x38741,a894))),x38742)) % 169.26/169.07 [3878]E(f79(x38781,f317(f317(f7(x38781,x38781,a894),a314),x38782)),x38782) % 169.26/169.07 [3879]E(f84(x38791,f317(f317(f7(x38791,x38791,a894),a314),x38792)),x38792) % 169.26/169.07 [3883]E(f317(f162(a897),f129(a897,f317(f292(a897,f317(a102,x38831)),f317(a102,x38832)))),f295(a897,x38831,x38832)) % 169.26/169.07 [3909]E(f317(f317(f244(x39091,x39092),f232(f906(x39091,a894))),f317(f16(f906(x39092,a894),x39091),f232(f906(x39092,a894)))),f232(f906(f905(x39091,x39092),a894))) % 169.26/169.07 [3942]E(f317(f252(x39421),f317(f317(f8(a894,a894,x39421),a312),x39422)),f317(f73(f906(x39421,a894)),f317(f252(x39421),x39422))) % 169.26/169.07 [3945]E(f317(f252(x39451),f317(f317(f7(x39451,x39451,a894),a314),x39452)),f317(f317(f299(x39451),x39452),f178(f906(x39451,a894)))) % 169.26/169.07 [3952]E(f317(f317(f74(a1),f317(f317(f23(a1),x39521),x39522)),f317(f317(f23(a1),x39521),x39522)),f317(f317(f23(a1),f317(f317(f74(a1),x39521),x39521)),f317(f317(f74(a1),x39522),x39522))) % 169.26/169.07 [3953]E(f317(f317(f74(a1),f317(f317(f74(a1),x39531),x39531)),f317(f317(f74(a1),x39532),x39532)),f317(f317(f74(a1),f317(f317(f74(a1),x39531),x39532)),f317(f317(f74(a1),x39531),x39532))) % 169.26/169.07 [3969]P1(f317(f317(f224(a897),f317(f29(x39691),f317(f162(x39691),x39692))),f317(f179(f898(x39691)),x39692))) % 169.26/169.07 [3970]P1(f317(f317(f224(a897),f317(f179(f898(x39701)),f142(x39701,x39702))),f317(f179(f898(x39701)),x39702))) % 169.26/169.07 [3981]E(f317(f252(x39811),f317(f317(f7(x39811,f906(x39811,a894),a894),f319(x39811)),x39812)),x39812) % 169.26/169.07 [3995]E(f317(f317(f165(x39951),f317(f317(f23(a897),f317(f179(f898(x39951)),x39952)),f72(a897))),x39952),f104(x39951,x39952)) % 169.26/169.07 [4015]E(f175(a897,f2(a897),f317(f317(f8(a897,a897,a897),a102),f317(f228(a897),x40151)),x40152),f317(f317(f228(a897),f317(a102,x40151)),x40152)) % 169.26/169.07 [4020]E(f31(f906(x40201,a894),f317(f300(f906(f905(x40201,x40201),a894),f906(x40201,a894),f271(x40201)),x40202)),f317(f271(x40201),f31(f906(f905(x40201,x40201),a894),x40202))) % 169.26/169.07 [4021]E(f175(a897,f317(a102,x40211),f317(f317(f8(a897,a897,a897),a102),f317(f223(a897),x40211)),x40212),f317(f317(f223(a897),f317(a102,x40211)),x40212)) % 169.26/169.07 [4023]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),f317(f70(a1),x40231)),f317(f70(a1),x40232))),f40(a1,f317(f70(a1),x40231),f317(f70(a1),x40232))),f48(x40231,x40232)) % 169.26/169.07 [4046]P1(f317(f317(f224(f906(f906(x40461,a894),a894)),x40462),f317(f298(x40461),f31(f906(x40461,a894),x40462)))) % 169.26/169.07 [4078]E(f317(f317(f34(x40781,f906(x40781,a894)),x40782),f317(f317(f7(x40781,f906(x40781,a894),f906(x40781,a894)),f299(x40781)),f178(f906(x40781,a894)))),x40782) % 169.26/169.07 [4079]E(f317(f317(f279(x40791,x40791,x40791),f317(f276(x40791,x40791),x40792)),f297(x40791,f317(f276(x40791,x40791),x40792))),f317(f276(x40791,x40791),f317(f317(f279(x40791,x40791,x40791),x40792),f297(x40791,x40792)))) % 169.26/169.07 [4142]E(f317(f162(x41421),f317(f132(f898(x41421),f898(x41421),f124(x41421),f103(x41421)),x41422)),f317(f317(f34(f898(x41421),f906(x41421,a894)),f317(f162(f898(x41421)),x41422)),f162(x41421))) % 169.26/169.07 [4173]E(f317(f317(f91(f906(f905(x41731,x41731),a894)),f297(x41731,f178(f906(f905(x41731,x41731),a894)))),f317(f317(f279(x41731,x41731,x41731),f297(x41731,x41732)),x41732)),f297(x41731,x41732)) % 169.26/169.07 [4209]E(f317(f317(f171(x42091,x42091),x42092),x42092),f317(f317(f144(x42091,f905(x42091,x42091)),f317(f317(f18(x42091,x42091,f905(x42091,x42091)),f242(x42091,x42091)),f5(x42091))),x42092)) % 169.26/169.07 [4320]E(f317(f132(a897,f898(x43201),f317(f7(f898(x43201),a897,a897),f317(f317(f8(a897,f906(a897,a897),f898(x43201)),f223(a897)),f179(f898(x43201)))),f2(a897)),f317(f158(f898(x43201)),x43202)),f317(f179(f898(f898(x43201))),f169(x43201,x43202))) % 169.26/169.07 [4392]E(f317(f317(f278(f905(a897,f898(x43921)),f898(x43921)),f309(a897,f898(x43921),a230,f135(x43921,x43922))),f317(f317(f18(f898(x43921),f898(x43921),f905(a897,f898(x43921))),f317(f317(f8(a897,f906(f898(x43921),f905(a897,f898(x43921))),f898(x43921)),f242(a897,f898(x43921))),f179(f898(x43921)))),f5(f898(x43921)))),f136(x43921,x43922)) % 169.26/169.07 [4519]E(f317(f252(x45191),f317(f317(f8(f906(f906(x45191,a894),a894),a894,x45191),f82(f906(x45191,a894))),f317(f317(f8(f906(f906(x45191,a894),a894),f906(f906(x45191,a894),a894),x45191),f317(f18(f906(x45191,a894),a894,a894),f317(f317(f8(a894,f906(a894,a894),f906(x45191,a894)),a320),f317(f317(f7(f906(x45191,a894),f906(f906(x45191,a894),a894),a894),f319(f906(x45191,a894))),x45192)))),f319(x45191)))),f32(f906(x45191,a894),x45192)) % 169.26/169.07 [4520]E(f317(f252(x45201),f317(f317(f8(f906(f906(x45201,a894),a894),a894,x45201),f81(f906(x45201,a894))),f317(f317(f8(f906(f906(x45201,a894),a894),f906(f906(x45201,a894),a894),x45201),f317(f18(f906(x45201,a894),a894,a894),f317(f317(f8(a894,f906(a894,a894),f906(x45201,a894)),a315),f317(f317(f7(f906(x45201,a894),f906(f906(x45201,a894),a894),a894),f319(f906(x45201,a894))),x45202)))),f319(x45201)))),f31(f906(x45201,a894),x45202)) % 169.26/169.07 [4629]~P1(f317(f317(f225(a1),f317(f90(a1),x46291)),f317(f73(a1),f317(f90(a1),x46292)))) % 169.26/169.07 [3619]E(f317(f317(f23(a897),f317(f317(f74(a897),x36191),x36192)),x36192),x36191) % 169.26/169.07 [3620]E(f317(f317(f23(a897),f317(f317(f74(a897),x36201),x36202)),x36201),x36202) % 169.26/169.07 [3685]E(f317(f317(f74(a897),f317(f317(f23(a897),x36851),x36852)),x36852),f317(f317(f223(a897),x36851),x36852)) % 169.26/169.07 [3796]E(f317(f317(f75(a897),f317(f317(f30(a897),x37961),x37962)),x37962),f317(f317(f23(a897),x37961),f40(a897,x37961,x37962))) % 169.26/169.07 [3823]E(f317(f162(a897),f129(a897,f317(f292(a897,f317(a102,x38231)),x38232))),f296(a897,x38231,x38232)) % 169.26/169.07 [3831]E(f317(f90(a1),f206(f317(a95,f317(f70(a1),x38311)),f317(a95,f317(f70(a1),x38312)))),f317(f317(a207,x38311),x38312)) % 169.26/169.07 [3833]E(f317(f317(f91(f906(x38331,a894)),f317(f73(f906(x38331,a894)),x38332)),x38332),f232(f906(x38331,a894))) % 169.26/169.07 [3834]E(f317(f317(f92(f906(x38341,a894)),f317(f73(f906(x38341,a894)),x38342)),x38342),f178(f906(x38341,a894))) % 169.26/169.07 [3850]P1(f317(f317(f224(a897),f317(f317(f23(a897),x38501),x38502)),x38501)) % 169.26/169.07 [3851]P1(f317(f317(f224(a897),f317(f317(f30(a897),x38511),x38512)),x38511)) % 169.26/169.07 [3875]P1(f317(f317(f225(a897),x38751),f317(a102,f317(f317(f74(a897),x38752),x38751)))) % 169.26/169.07 [3876]P1(f317(f317(f225(a897),x38761),f317(a102,f317(f317(f74(a897),x38761),x38762)))) % 169.26/169.07 [3893]E(f317(f317(f75(a897),f317(a95,f317(f70(a1),x38931))),f317(a95,f317(f70(a1),x38932))),f317(a95,f317(f70(a1),f317(f317(f75(a1),x38931),x38932)))) % 169.26/169.07 [3905]P1(f317(f317(f224(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x39051)),x39052))) % 169.26/169.07 [3973]E(f317(f275(f898(x39731),f898(x39731),f148(x39731,x39732)),f317(f317(f299(f898(x39731)),f103(x39731)),f178(f906(f898(x39731),a894)))),f317(f317(f299(f898(x39731)),f103(x39731)),f178(f906(f898(x39731),a894)))) % 169.26/169.07 [3993]E(f317(f317(f91(f906(f905(x39931,x39931),a894)),f297(x39931,x39932)),f297(x39931,f178(f906(f905(x39931,x39931),a894)))),f297(x39931,x39932)) % 169.26/169.07 [4005]E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f74(a1),x40051),x40051))),f317(f94(a1),f317(f317(f74(a1),x40052),x40052))),f317(f317(f30(a1),f317(f94(a1),x40051)),f317(f94(a1),x40052))) % 169.26/169.07 [4068]E(f317(f317(f234(a1),x40681),f317(f94(a897),f317(f317(f74(a1),x40682),x40682))),f317(f317(f80(a1,a1),f317(f317(f234(a1),x40681),f317(f94(a897),x40682))),f317(f317(f18(a1,a1,a1),f75(a1)),f5(a1)))) % 169.26/169.07 [4074]E(f317(f252(f906(x40741,a894)),f317(f317(f7(f906(x40741,a894),f906(x40741,a894),a894),f224(f906(x40741,a894))),x40742)),f317(f298(x40741),x40742)) % 169.26/169.07 [4090]E(f317(f317(f144(a1,a897),a95),f317(f317(f124(a1),f317(f317(f144(a897,a1),f90(a1)),x40901)),f317(f317(f144(a897,a1),f90(a1)),x40902))),f317(f317(f124(a897),x40901),x40902)) % 169.26/169.07 [4120]E(f317(f300(a1,a1,f317(f317(f7(a1,a1,a1),f74(a1)),x41201)),f317(f292(a1,f2(a1)),f317(f317(f23(a1),x41202),x41201))),f317(f292(a1,x41201),x41202)) % 169.26/169.07 [4122]P56(x41221,f317(f317(f23(f906(f905(x41221,x41221),a894)),x41222),f297(x41221,f178(f906(f905(x41221,x41221),a894))))) % 169.26/169.07 [4140]E(f317(f179(f898(x41401)),f317(f132(f898(x41401),f898(x41401),f124(x41401),f103(x41401)),x41402)),f317(f155(a897),f317(f317(f144(f898(x41401),a897),f179(f898(x41401))),x41402))) % 169.26/169.07 [4144]P55(x41441,f232(f906(x41441,a894)),f317(f317(f91(f906(f905(x41441,x41441),a894)),x41442),f297(x41441,f178(f906(f905(x41441,x41441),a894))))) % 169.26/169.07 [4189]E(f175(a897,f2(a897),f317(f317(f8(a897,a897,a897),a102),f317(f317(f7(a897,a897,a897),f228(a897)),x41891)),x41892),f317(f317(f228(a897),x41892),f317(a102,x41891))) % 169.26/169.07 [4192]E(f175(a897,f317(a102,x41921),f317(f317(f8(a897,a897,a897),a102),f317(f317(f7(a897,a897,a897),f223(a897)),x41921)),x41922),f317(f317(f223(a897),x41922),f317(a102,x41921))) % 169.26/169.07 [4195]E(f317(f300(x41951,f898(x41951),f317(f317(f7(x41951,f898(x41951),f898(x41951)),f141(x41951)),f103(x41951))),x41952),f164(x41951,x41952,f317(f317(f299(f898(x41951)),f103(x41951)),f178(f906(f898(x41951),a894))))) % 169.26/169.07 [4197]E(f317(f317(f91(f906(f905(x41971,x41971),a894)),f317(f317(f279(x41971,x41971,x41971),x41972),f297(x41971,x41972))),f297(x41971,f178(f906(f905(x41971,x41971),a894)))),f297(x41971,x41972)) % 169.26/169.07 [4204]P1(f317(f317(f224(f906(f905(x42041,x42041),a894)),f253(x42041,x42042)),f317(f317(f244(x42041,x42041),x42042),f317(f16(f906(x42041,a894),x42041),x42042)))) % 169.26/169.07 [4207]E(f317(f300(a1,a897,a95),f317(f317(f91(f906(a1,a894)),f317(f300(a897,a1,f90(a1)),x42071)),f317(f300(a897,a1,f90(a1)),x42072))),f317(f317(f91(f906(a897,a894)),x42071),x42072)) % 169.26/169.07 [4208]E(f317(f300(a1,a897,a95),f317(f317(f92(f906(a1,a894)),f317(f300(a897,a1,f90(a1)),x42081)),f317(f300(a897,a1,f90(a1)),x42082))),f317(f317(f92(f906(a897,a894)),x42081),x42082)) % 169.26/169.07 [4211]E(f317(f252(x42111),f317(f317(f8(a894,a894,x42111),a312),f317(f317(f7(x42111,f906(x42111,a894),a894),f319(x42111)),x42112))),f317(f73(f906(x42111,a894)),x42112)) % 169.26/169.07 [4238]E(f317(f132(f898(x42381),f898(x42381),f124(x42381),f103(x42381)),f317(f317(f144(f898(x42381),f898(x42381)),f158(x42381)),f317(f158(f898(x42381)),x42382))),f317(f158(x42381),f317(f132(f898(x42381),f898(x42381),f124(x42381),f103(x42381)),x42382))) % 169.26/169.07 [4264]E(f317(f317(f34(a897,f906(f905(x42641,x42641),a894)),f232(f906(a897,a894))),f317(f317(f7(a897,f906(f905(x42641,x42641),a894),f906(f905(x42641,x42641),a894)),f173(f905(x42641,x42641),a894)),x42642)),f297(x42641,x42642)) % 169.26/169.07 [4282]E(f79(x42821,f317(f317(f8(f906(x42821,a894),a894,x42821),f317(a314,x42822)),f317(f317(f7(x42821,f906(x42821,a894),f906(x42821,a894)),f299(x42821)),f178(f906(x42821,a894))))),f302(x42821,x42822)) % 169.26/169.07 [4290]E(f317(f179(f898(x42901)),f142(x42901,f317(f132(f898(x42901),f898(x42901),f124(x42901),f103(x42901)),x42902))),f317(f29(x42901),f317(f317(f34(f898(x42901),f906(x42901,a894)),f317(f162(f898(x42901)),x42902)),f162(x42901)))) % 169.26/169.07 [4304]E(f317(f317(f91(f906(f905(x43041,x43041),a894)),x43042),f317(f317(f279(x43041,x43041,x43041),f317(f317(f279(x43041,x43041,x43041),x43042),f297(x43041,x43042))),x43042)),f317(f317(f279(x43041,x43041,x43041),x43042),f297(x43041,x43042))) % 169.26/169.07 [4328]P1(f317(f317(f224(f906(f905(x43281,x43281),a894)),f317(f317(f279(x43281,x43281,x43281),x43282),f297(x43281,x43282))),f317(f317(f244(x43281,x43281),f317(f271(x43281),x43282)),f317(f16(f906(x43281,a894),x43281),f317(f271(x43281),x43282))))) % 169.26/169.07 [4369]E(f317(f252(f898(x43691)),f317(f317(f7(f898(x43691),f906(x43691,a894),a894),f317(f317(f8(f906(x43691,a894),f906(f906(x43691,a894),a894),f898(x43691)),f224(f906(x43691,a894))),f162(x43691))),x43692)),f151(x43691,x43692)) % 169.26/169.07 [4380]E(f317(f146(f898(x43801),x43801,f103(x43801),f317(f317(f8(f898(x43801),f906(f898(x43801),f898(x43801)),x43801),f317(f7(f898(x43801),f898(x43801),f898(x43801)),f124(x43801))),f317(f317(f7(x43801,f898(x43801),f898(x43801)),f141(x43801)),f103(x43801)))),x43802),f317(f157(x43801),x43802)) % 169.26/169.07 [4420]P27(f906(x44201,x44202),f906(f905(x44201,x44202),a894),f317(f317(f8(f906(f905(x44201,x44202),a894),f906(f905(x44201,x44202),a894),f906(x44201,x44202)),f252(f905(x44201,x44202))),f317(f317(f8(f906(x44201,f906(x44202,a894)),f906(f905(x44201,x44202),a894),f906(x44201,x44202)),f247(x44201,x44202,a894)),f317(f8(x44202,f906(x44202,a894),x44201),f317(f7(x44202,x44202,a894),a314)))),f232(f906(f906(x44201,x44202),a894))) % 169.26/169.07 [4425]E(f40(a1,f317(f94(a1),f317(f317(f74(a1),x44251),x44251)),f317(f94(a1),f317(f317(f74(a1),x44252),x44252))),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),x44251),f317(f94(a1),x44252)))) % 169.26/169.07 [4469]E(f317(f317(f34(x44691,f906(f905(x44691,x44691),a894)),x44692),f317(f317(f7(x44691,f906(f905(x44691,x44691),a894),f906(f905(x44691,x44691),a894)),f317(f317(f8(f905(x44691,x44691),f906(f906(f905(x44691,x44691),a894),f906(f905(x44691,x44691),a894)),x44691),f299(f905(x44691,x44691))),f317(f317(f18(x44691,x44691,f905(x44691,x44691)),f242(x44691,x44691)),f5(x44691)))),f178(f906(f905(x44691,x44691),a894)))),f253(x44691,x44692)) % 169.26/169.07 [4477]E(f192(x44771,f317(f317(f242(a1,a1),f317(f73(a1),f317(f317(f67(f905(a1,a1),a1,x44771,f241(a1,a1)),f202(x44771)),x44772))),f317(f317(f67(f905(a1,a1),a1,x44771,f246(a1,a1)),f202(x44771)),x44772))),f217(x44771,x44772)) % 169.26/169.07 [4558]E(f317(f252(f906(x45581,a894)),f317(f317(f8(f906(f906(x45581,a894),a894),a894,f906(x45581,a894)),f81(f906(x45581,a894))),f317(f317(f7(f906(x45581,a894),f906(f906(x45581,a894),a894),f906(f906(x45581,a894),a894)),f317(f317(f8(f906(f906(x45581,a894),f906(a894,a894)),f906(f906(f906(x45581,a894),a894),f906(f906(x45581,a894),a894)),f906(x45581,a894)),f18(f906(x45581,a894),a894,a894)),f317(f317(f8(f906(f906(x45581,a894),a894),f906(f906(x45581,a894),f906(a894,a894)),f906(x45581,a894)),f317(f8(a894,f906(a894,a894),f906(x45581,a894)),a315)),f317(f317(f7(f906(x45581,a894),f906(f906(x45581,a894),f906(x45581,a894)),f906(f906(x45581,a894),a894)),f317(f317(f8(f906(f906(x45581,a894),a894),f906(f906(f906(x45581,a894),f906(x45581,a894)),f906(f906(x45581,a894),a894)),f906(x45581,a894)),f8(f906(x45581,a894),a894,f906(x45581,a894))),a314)),f73(f906(x45581,a894)))))),f317(f317(f8(f906(f906(x45581,a894),a894),a894,f906(x45581,a894)),f317(f319(f906(x45581,a894)),x45582)),f298(x45581))))),f317(f298(x45581),f317(f73(f906(x45581,a894)),x45582))) % 169.26/169.07 [4627]~E(f317(f317(f74(a1),x46271),x46271),f317(f317(f23(a1),f317(f317(f74(a1),x46272),x46272)),a87)) % 169.26/169.07 [4631]~P1(f317(f317(f225(a897),f317(f317(f74(a897),x46311),x46312)),x46312)) % 169.26/169.07 [4632]~P1(f317(f317(f225(a897),f317(f317(f74(a897),x46321),x46322)),x46321)) % 169.26/169.07 [3910]E(f317(f317(f23(a897),x39101),f317(f317(f75(a897),f317(f317(f30(a897),x39101),x39102)),x39102)),f40(a897,x39101,x39102)) % 169.26/169.07 [3911]E(f317(f317(f23(a1),x39111),f317(f317(f75(a1),f317(f317(f30(a1),x39111),x39112)),x39112)),f40(a1,x39111,x39112)) % 169.26/169.07 [3943]E(f317(f317(f144(a897,x39431),f317(f154(x39431),x39432)),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(x39431)),x39432)))),x39432) % 169.26/169.07 [4001]E(f317(f275(x40011,x40011,f297(x40011,f178(f906(f905(x40011,x40011),a894)))),x40012),x40012) % 169.26/169.07 [4125]E(f297(x41251,f317(f317(f23(f906(f905(x41251,x41251),a894)),x41252),f297(x41251,f178(f906(f905(x41251,x41251),a894))))),f297(x41251,x41252)) % 169.26/169.07 [4126]E(f297(x41261,f317(f317(f91(f906(f905(x41261,x41261),a894)),x41262),f297(x41261,f178(f906(f905(x41261,x41261),a894))))),f297(x41261,x41262)) % 169.26/169.07 [4176]E(f317(f317(f23(a1),f317(f317(f23(a1),f317(f317(f74(a1),x41761),x41761)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x41762),x41762)),a87)),f317(f317(f74(a1),f317(f317(f23(a1),x41761),x41762)),f317(f317(f23(a1),x41761),x41762))) % 169.26/169.07 [4216]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),x42161),x42162)),f317(f317(f74(a1),x42161),x42162))),a87),f317(f317(f74(a1),f317(f317(f74(a1),x42161),x42161)),f317(f317(f23(a1),f317(f317(f74(a1),x42162),x42162)),a87))) % 169.26/169.07 [4241]E(f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42411),x42411)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x42412),x42412)),a87)),f317(f317(f74(a1),f317(f317(f74(a1),x42411),f317(f317(f23(a1),x42412),a87))),f317(f317(f74(a1),x42411),f317(f317(f23(a1),x42412),a87)))) % 169.26/169.07 [4252]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),x42521),x42522)),f317(f317(f23(a1),x42521),x42522))),a87),f317(f317(f23(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42521),x42521)),a87)),f317(f317(f74(a1),x42522),x42522))) % 169.26/169.07 [4253]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f74(a1),x42531),x42532)),f317(f317(f74(a1),x42531),x42532))),a87),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42531),x42531)),a87)),f317(f317(f74(a1),x42532),x42532))) % 169.26/169.07 [4301]E(f317(f90(a1),f317(f317(f30(a897),f317(f317(f75(a897),f317(a95,f317(f70(a1),x43011))),f317(a95,f317(f70(a1),x43012)))),f206(f317(a95,f317(f70(a1),x43011)),f317(a95,f317(f70(a1),x43012))))),f208(x43011,x43012)) % 169.26/169.07 [4346]E(f317(f317(f249(f905(a89,a89),a89,f905(a89,a89),f905(x43461,f905(a89,a89))),f257(f317(a3,f317(f179(f898(x43461)),x43462)))),f317(f317(f8(x43461,f906(f905(a89,a89),f905(x43461,f905(a89,a89))),a89),f242(x43461,f905(a89,a89))),f317(f317(f8(a897,x43461,a89),f317(f154(x43461),x43462)),a20))),f265(x43461,x43462)) % 169.26/169.07 [4426]E(f317(f132(a897,f898(x44261),f317(f7(f898(x44261),a897,a897),f317(f317(f8(a897,f906(a897,a897),f898(x44261)),f223(a897)),f179(f898(x44261)))),f2(a897)),f317(f158(f898(x44261)),f169(x44261,x44262))),f317(f179(f898(f898(x44261))),f317(f126(f898(x44261),f317(f317(f8(a894,a894,f898(x44261)),a312),f317(f317(f7(f898(x44261),f898(x44261),a894),a314),f103(x44261)))),x44262))) % 169.26/169.07 [4432]E(f317(f317(f34(a897,f906(x44321,a894)),f232(f906(a897,a894))),f317(f317(f7(a897,f906(a897,f906(x44321,a894)),f906(x44321,a894)),f317(f317(f8(f906(a897,a894),f906(f906(a897,f906(x44321,a894)),f906(x44321,a894)),a897),f34(a897,f906(x44321,a894))),f292(a897,f2(a897)))),x44322)),f317(f317(f34(a897,f906(x44321,a894)),f232(f906(a897,a894))),x44322)) % 169.26/169.07 [4454]P1(f317(f28(a897),f317(f252(a897),f317(f317(f18(a897,a894,a894),f317(f317(f8(a894,f906(a894,a894),a897),a315),x44541)),f317(f317(f7(a897,a897,a894),f225(a897)),x44542))))) % 169.26/169.07 [4566]E(f317(f252(f905(f898(x45661),f898(x45661))),f317(f247(f898(x45661),f898(x45661),a894),f317(f317(f18(f898(x45661),f906(f898(x45661),a894),f906(f898(x45661),a894)),f317(f317(f8(f906(f898(x45661),f906(a894,a894)),f906(f906(f898(x45661),a894),f906(f898(x45661),a894)),f898(x45661)),f18(f898(x45661),a894,a894)),f317(f317(f8(f906(f898(x45661),a894),f906(f898(x45661),f906(a894,a894)),f898(x45661)),f317(f8(a894,f906(a894,a894),f898(x45661)),a316)),f317(f317(f7(f898(x45661),f906(f898(x45661),a897),f906(f898(x45661),a894)),f317(f317(f8(f906(a897,a894),f906(f906(f898(x45661),a897),f906(f898(x45661),a894)),f898(x45661)),f8(a897,a894,f898(x45661))),f317(f317(f8(a897,f906(a897,a894),f898(x45661)),f225(a897)),f179(f898(x45661))))),f179(f898(x45661)))))),f317(f317(f18(f898(x45661),f906(f898(x45661),a894),f906(f898(x45661),a894)),f317(f317(f8(f906(f898(x45661),f906(a894,a894)),f906(f906(f898(x45661),a894),f906(f898(x45661),a894)),f898(x45661)),f18(f898(x45661),a894,a894)),f317(f317(f8(f906(f898(x45661),a894),f906(f898(x45661),f906(a894,a894)),f898(x45661)),f317(f8(a894,f906(a894,a894),f898(x45661)),a315)),f317(f317(f7(f898(x45661),f906(f898(x45661),a897),f906(f898(x45661),a894)),f317(f317(f8(f906(a897,a894),f906(f906(f898(x45661),a897),f906(f898(x45661),a894)),f898(x45661)),f8(a897,a894,f898(x45661))),f317(f317(f8(a897,f906(a897,a894),f898(x45661)),a314),f179(f898(x45661))))),f179(f898(x45661)))))),f317(f317(f7(f898(x45661),f906(f905(f898(x45661),f898(x45661)),a894),f906(f898(x45661),a894)),f317(f317(f8(f906(f898(x45661),f906(f906(f905(f898(x45661),f898(x45661)),a894),a894)),f906(f906(f905(f898(x45661),f898(x45661)),a894),f906(f898(x45661),a894)),f898(x45661)),f7(f898(x45661),f906(f905(f898(x45661),f898(x45661)),a894),a894)),f317(f317(f8(f906(f898(x45661),f905(f898(x45661),f898(x45661))),f906(f898(x45661),f906(f906(f905(f898(x45661),f898(x45661)),a894),a894)),f898(x45661)),f317(f8(f905(f898(x45661),f898(x45661)),f906(f906(f905(f898(x45661),f898(x45661)),a894),a894),f898(x45661)),f319(f905(f898(x45661),f898(x45661))))),f242(f898(x45661),f898(x45661))))),f135(x45661,x45662)))))),f136(x45661,x45662)) % 169.26/169.07 [4244]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),x42441),x42442)),f317(f317(f75(a1),x42441),x42442))),x42442),f317(f317(f75(a1),f317(f317(f23(a1),f317(f317(f74(a1),x42441),x42441)),a87)),x42442)) % 169.26/169.07 [4345]E(f317(a95,f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x43451),x43452)),f178(f906(f905(a897,a897),a894)))))),f317(f317(f23(a897),x43451),x43452)) % 169.26/169.07 [4349]E(f317(f317(f279(x43491,x43491,x43491),f317(f317(f91(f906(f905(x43491,x43491),a894)),x43492),f297(x43491,f178(f906(f905(x43491,x43491),a894))))),f297(x43491,f317(f317(f91(f906(f905(x43491,x43491),a894)),x43492),f297(x43491,f178(f906(f905(x43491,x43491),a894)))))),f297(x43491,x43492)) % 169.26/169.07 [4386]E(f258(x43861,f317(f126(f905(a89,x43861),f317(f247(a89,x43861,a894),f317(f317(f8(a894,f906(x43861,a894),a89),f16(a894,x43861)),f317(f225(a89),f2(a89))))),x43862)),f258(x43861,x43862)) % 169.26/169.07 [4387]E(f256(x43871,f317(f126(f905(a89,x43871),f317(f247(a89,x43871,a894),f317(f317(f8(a894,f906(x43871,a894),a89),f16(a894,x43871)),f317(f225(a89),f2(a89))))),x43872)),f256(x43871,x43872)) % 169.26/169.07 [4389]E(f317(f73(a1),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x43891),x43892)),f178(f906(f905(a897,a897),a894)))))),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x43892),x43891)),f178(f906(f905(a897,a897),a894)))))) % 169.26/169.07 [4445]E(f317(f317(f278(f898(a897),x44451),f135(a897,a230)),f317(f317(f7(x44451,f898(f906(x44451,a897)),f898(a897)),f317(f317(f8(f906(f906(x44451,a897),a897),f906(f898(f906(x44451,a897)),f898(a897)),x44451),f144(f906(x44451,a897),a897)),f317(f7(f906(x44451,a897),x44451,a897),f5(f906(x44451,a897))))),x44452)),f143(x44451,x44452)) % 169.26/169.07 [4466]E(f317(f317(f80(a1,a897),f317(f94(a1),f317(f317(f74(a1),x44661),a87))),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f906(a897,a897)),f317(f317(f8(a894,f906(a897,f906(a897,a897)),a1),f86(a897)),a183)),f2(a897))),f317(f317(f8(a897,a897,a1),a102),f317(f317(f8(a897,a897,a1),f317(f228(a897),x44662)),a95)))),f317(f317(f228(a897),f317(a102,x44662)),f317(f94(a897),x44661))) % 169.26/169.07 [4467]E(f317(f317(f80(a1,a897),f317(f94(a1),f317(f317(f74(a1),x44671),a87))),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f906(a897,a897)),f317(f317(f8(a894,f906(a897,f906(a897,a897)),a1),f86(a897)),a183)),f317(a102,x44672))),f317(f317(f8(a897,a897,a1),a102),f317(f317(f8(a897,a897,a1),f317(f223(a897),x44672)),a95)))),f317(f317(f223(a897),f317(a102,x44672)),f317(f94(a897),x44671))) % 169.26/169.07 [4487]E(f317(f132(f898(x44871),f898(x44871),f124(x44871),f103(x44871)),f317(f317(f144(f898(x44871),f898(x44871)),f146(f898(x44871),x44871,f103(x44871),f317(f317(f8(f898(x44871),f906(f898(x44871),f898(x44871)),x44871),f16(f898(x44871),f898(x44871))),f317(f317(f7(x44871,f898(x44871),f898(x44871)),f141(x44871)),f103(x44871))))),x44872)),f317(f317(f144(f898(x44871),x44871),f131(x44871)),f317(f126(f898(x44871),f317(f317(f8(a894,a894,f898(x44871)),a312),f317(f317(f7(f898(x44871),f898(x44871),a894),a314),f103(x44871)))),x44872))) % 169.26/169.07 [4549]E(f317(f247(a1,a1,a894),f317(f317(f7(a1,f906(a1,a894),f906(a1,a894)),f317(f317(f8(f906(a1,f906(a894,a894)),f906(f906(a1,a894),f906(a1,a894)),a1),f18(a1,a894,a894)),f317(f317(f8(f906(a1,a894),f906(a1,f906(a894,a894)),a1),f317(f8(a894,f906(a894,a894),a1),a315)),f317(f317(f8(f906(a1,a1),f906(a1,a894),a1),f317(f8(a1,a894,a1),f317(a314,x45491))),f317(f317(f8(a1,f906(a1,a1),a1),f74(a1)),f317(f75(a1),x45492)))))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),f317(a320,f317(f317(f225(a1),f2(a1)),x45492))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),f2(a1)))),f317(f317(f7(a1,a1,a894),f225(a1)),x45492))))),f317(f317(f8(a894,a894,a1),f317(a320,f317(a312,f317(f317(f225(a1),f2(a1)),x45492)))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f225(a1),x45492))),f317(f317(f7(a1,a1,a894),f224(a1)),f2(a1))))))),f44(x45491,x45492)) % 169.26/169.07 [4552]E(f317(f252(x45521),f317(f317(f8(f906(a897,a894),a894,x45521),f81(a897)),f317(f317(f7(x45521,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),x45521),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),x45521),f317(f8(a894,f906(a894,a894),a897),a315)),f317(f317(f7(x45521,f906(a897,x45521),f906(a897,a894)),f317(f317(f8(f906(x45521,a894),f906(f906(a897,x45521),f906(a897,a894)),x45521),f8(x45521,a894,a897)),a314)),f317(f154(x45521),x45522))))),f317(f317(f7(a897,a897,a894),f225(a897)),f317(f179(f898(x45521)),x45522))))),f317(f162(x45521),x45522)) % 169.26/169.07 [4359]E(f317(f317(f23(a1),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),x43591),a87)),x43592)),f317(f317(f23(a1),f317(f317(f74(a1),x43591),a87)),x43592))),a87),f317(f317(f23(a1),f317(f317(f74(a1),x43591),x43591)),f317(f317(f23(a1),f317(f317(f74(a1),x43592),x43592)),a87))) % 169.26/169.07 [4482]E(f317(f132(f898(f898(x44821)),f898(f898(x44821)),f124(f898(x44821)),f103(f898(x44821))),f317(f317(f144(f898(x44821),f898(f898(x44821))),f146(f898(f898(x44821)),x44821,f103(f898(x44821)),f317(f16(f906(f898(x44821),f898(f898(x44821))),x44821),f317(f317(f7(f898(x44821),f898(f898(x44821)),f898(f898(x44821))),f141(f898(x44821))),f103(f898(x44821)))))),x44822)),f317(f317(f144(f898(x44821),f898(x44821)),f161(x44821)),f317(f126(f898(x44821),f317(f317(f8(a894,a894,f898(x44821)),a312),f317(f317(f7(f898(x44821),f898(x44821),a894),a314),f103(x44821)))),x44822))) % 169.26/169.07 [4492]E(f317(f317(f80(a1,a897),f317(f94(a1),f317(f317(f74(a1),x44921),a87))),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f906(a897,a897)),f317(f317(f8(a894,f906(a897,f906(a897,a897)),a1),f86(a897)),a183)),f2(a897))),f317(f317(f8(a897,a897,a1),a102),f317(f317(f7(a1,a897,a897),f317(f317(f8(a897,f906(a897,a897),a1),f228(a897)),a95)),x44922)))),f317(f317(f228(a897),f317(f94(a897),x44921)),f317(a102,x44922))) % 169.26/169.07 [4493]E(f317(f317(f80(a1,a897),f317(f94(a1),f317(f317(f74(a1),x44931),a87))),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f906(a897,a897)),f317(f317(f8(a894,f906(a897,f906(a897,a897)),a1),f86(a897)),a183)),f317(a102,x44932))),f317(f317(f8(a897,a897,a1),a102),f317(f317(f7(a1,a897,a897),f317(f317(f8(a897,f906(a897,a897),a1),f223(a897)),a95)),x44932)))),f317(f317(f223(a897),f317(f94(a897),x44931)),f317(a102,x44932))) % 169.26/169.07 [4481]E(f317(f247(x44811,x44811,a894),f317(f317(f18(x44811,a894,f906(x44811,a894)),f317(f317(f8(f906(x44811,f906(a894,a894)),f906(a894,f906(x44811,a894)),x44811),f7(x44811,a894,a894)),f317(f317(f8(f906(x44811,a894),f906(x44811,f906(a894,a894)),x44811),f317(f8(a894,f906(a894,a894),x44811),a315)),a314))),x44812)),f253(x44811,x44812)) % 169.26/169.07 [4526]E(f317(f317(f30(a897),x45261),f317(f317(f74(a897),f317(f94(a897),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))),x45262)),f317(f317(f30(a897),x45261),f317(a102,f317(a102,f317(a102,x45262))))) % 169.26/169.07 [4527]E(f40(a897,x45271,f317(f317(f74(a897),f317(f94(a897),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))),x45272)),f40(a897,x45271,f317(a102,f317(a102,f317(a102,x45272))))) % 169.26/169.07 [4528]E(f40(a897,f317(f317(f74(a897),f317(f94(a897),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))),x45281),x45282),f40(a897,f317(a102,f317(a102,f317(a102,x45281))),x45282)) % 169.26/169.07 [4540]E(f113(f317(x45401,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))),x45402))),f317(f190(x45401),x45402)) % 169.26/169.07 [4541]E(f317(f317(f30(a897),f317(f317(f74(a897),f317(f94(a897),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))),x45411)),x45412),f317(f317(f30(a897),f317(a102,f317(a102,f317(a102,x45411)))),x45412)) % 169.26/169.07 [4593]~E(f116(x45931,x45932,x45933),f109(x45931)) % 169.26/169.07 [3349]E(f317(f182(x33491,x33492),x33493),f111(x33491,x33492)) % 169.26/169.07 [3368]E(f317(f189(x33681,x33682),x33683),f317(f119(x33681),x33682)) % 169.26/169.07 [3444]E(f317(f317(f144(x34441,x34442),x34443),f103(x34441)),f103(x34442)) % 169.26/169.07 [3483]E(f317(f174(x34831,x34832,x34833),f2(a897)),x34832) % 169.26/169.07 [3485]E(f317(f317(f171(x34851,x34852),x34853),f103(x34852)),f103(f905(x34851,x34852))) % 169.26/169.07 [3498]E(f317(f179(f898(x34981)),f159(x34981,x34982,x34983)),x34982) % 169.26/169.07 [3517]E(f79(x35171,f56(x35171,x35172,x35173)),f317(f57(x35171,x35172),x35173)) % 169.26/169.07 [3521]E(f233(x35211,x35212,f233(x35212,x35211,x35213)),x35213) % 169.26/169.07 [3541]E(f317(f158(x35411),f159(x35411,x35412,x35413)),f159(x35411,x35412,x35413)) % 169.26/169.07 [3566]E(f130(x35661,x35662,f142(x35661,x35663)),f142(x35661,f130(x35661,x35662,x35663))) % 169.26/169.07 [3585]E(f317(f241(f898(x35851),f898(x35851)),f156(x35851,x35852,x35853)),f317(f126(x35851,x35852),x35853)) % 169.26/169.07 [3628]E(f317(f317(f141(x36281),x36282),f159(x36281,x36283,x36282)),f159(x36281,f317(a102,x36283),x36282)) % 169.26/169.07 [3661]E(f175(x36611,x36612,x36613,f2(a897)),x36612) % 169.26/169.07 [3662]E(f17(x36621,x36622,x36623,f2(a89)),x36622) % 169.26/169.07 [3663]E(f19(x36631,x36632,x36633,f2(a89)),x36632) % 169.26/169.07 [3670]E(f153(x36701,x36702,x36703,f103(x36701)),f103(x36702)) % 169.26/169.07 [3671]E(f120(x36711,x36712,x36713,f109(x36711)),f109(x36712)) % 169.26/169.07 [3677]E(f317(f317(f154(x36771),f317(f317(f141(x36771),x36772),x36773)),f2(a897)),x36772) % 169.26/169.07 [3705]E(f54(x37051,x37052,f103(x37051),x37053),f103(f905(x37051,x37052))) % 169.26/169.07 [3725]P27(x37251,x37252,x37253,f178(f906(x37251,a894))) % 169.26/169.07 [3827]E(f255(x38271,x38272,x38273),f317(f242(f906(a89,f906(a894,f901(f899(x38271)))),f905(a89,a89)),f36(x38271))) % 169.26/169.07 [3884]E(f317(f67(x38841,x38842,x38841,x38843),f25(x38841)),x38843) % 169.26/169.07 [4060]P1(f317(f317(f319(f905(x40601,x40601)),f317(f317(f242(x40601,x40601),x40602),x40602)),f297(x40601,x40603))) % 169.26/169.07 [4636]~P1(f317(f317(f319(f905(f898(x46361),f898(x46361))),f317(f317(f242(f898(x46361),f898(x46361)),x46362),f103(x46361))),f135(x46361,x46363))) % 169.26/169.07 [4637]~P1(f317(f317(f319(f905(f898(x46371),f898(x46371))),f317(f317(f242(f898(x46371),f898(x46371)),x46372),f103(x46371))),f137(x46371,x46373))) % 169.26/169.07 [4638]~P1(f317(f317(f319(f905(f898(x46381),f898(x46381))),f317(f317(f242(f898(x46381),f898(x46381)),x46382),f103(x46381))),f147(x46381,x46383))) % 169.26/169.07 [4639]~P1(f317(f317(f319(f905(f898(x46391),f898(x46391))),f317(f317(f242(f898(x46391),f898(x46391)),f103(x46391)),x46392)),f135(x46391,x46393))) % 169.26/169.07 [4640]~P1(f317(f317(f319(f905(f898(x46401),f898(x46401))),f317(f317(f242(f898(x46401),f898(x46401)),f103(x46401)),x46402)),f147(x46401,x46403))) % 169.26/169.07 [3419]E(f317(f317(f191(x34191),x34192),x34193),f192(x34191,f205(x34192,x34193))) % 169.26/169.07 [3472]E(f317(f276(x34721,x34722),f317(f276(x34722,x34721),x34723)),x34723) % 169.26/169.07 [3493]E(f317(f317(f171(x34931,x34932),f103(x34931)),x34933),f103(f905(x34931,x34932))) % 169.26/169.07 [3496]E(f166(x34961,x34962,f317(f272(a897),x34963)),f317(f317(f165(x34961),x34963),x34962)) % 169.26/169.07 [3514]E(f142(x35141,f317(f126(x35141,x35142),x35143)),f317(f126(x35141,x35142),f142(x35141,x35143))) % 169.26/169.07 [3515]E(f317(f274(x35151,x35152),f317(f276(x35152,x35151),x35153)),f317(f254(x35152,x35151),x35153)) % 169.26/169.07 [3516]E(f317(f254(x35161,x35162),f317(f276(x35162,x35161),x35163)),f317(f274(x35162,x35161),x35163)) % 169.26/169.07 [3534]E(f317(f126(x35341,x35342),f317(f158(x35341),x35343)),f317(f158(x35341),f317(f126(x35341,x35342),x35343))) % 169.26/169.07 [3546]E(f317(f317(f128(x35461),x35462),f317(f161(x35461),x35463)),f317(f317(f128(x35461),f317(a102,x35462)),x35463)) % 169.26/169.07 [3562]E(f317(f300(x35621,x35622,x35623),f178(f906(x35621,a894))),f178(f906(x35622,a894))) % 169.26/169.07 [3563]E(f317(f275(x35631,x35632,x35633),f178(f906(x35631,a894))),f178(f906(x35632,a894))) % 169.26/169.07 [3564]E(f317(f301(x35641,x35642,x35643),f178(f906(x35642,a894))),f178(f906(x35641,a894))) % 169.26/169.07 [3565]E(f317(f301(x35651,x35652,x35653),f232(f906(x35652,a894))),f232(f906(x35651,a894))) % 169.26/169.07 [3591]E(f110(x35911,f116(f899(x35911),x35912,x35913)),f106(x35911,x35912,f110(x35911,x35913))) % 169.26/169.07 [3593]E(f317(f317(f299(x35931),x35932),f317(f162(x35931),x35933)),f317(f162(x35931),f130(x35931,x35932,x35933))) % 169.26/169.07 [3681]E(f317(f300(f905(x36811,x36812),x36812,f246(x36811,x36812)),x36813),f317(f274(x36811,x36812),x36813)) % 169.26/169.07 [3682]E(f317(f300(f905(x36821,x36822),x36821,f241(x36821,x36822)),x36823),f317(f254(x36821,x36822),x36823)) % 169.26/169.07 [3697]E(f317(f162(x36971),f159(x36971,f317(a102,x36972),x36973)),f317(f317(f299(x36971),x36973),f178(f906(x36971,a894)))) % 169.26/169.07 [3754]E(f317(f317(f242(x37541,x37542),f317(f241(x37541,x37542),x37543)),f317(f246(x37541,x37542),x37543)),x37543) % 169.26/169.07 [3761]E(f317(f179(f899(x37611)),f116(x37611,x37612,x37613)),f317(f317(f74(a897),f317(f179(f899(x37611)),x37613)),f317(a102,f2(a897)))) % 169.26/169.07 [3763]E(f317(f317(f247(x37631,x37632,x37631),f16(x37631,x37632)),x37633),f317(f241(x37631,x37632),x37633)) % 169.26/169.07 [3889]E(f317(f67(x38891,x38891,x38892,f25(x38891)),x38893),x38893) % 169.26/169.07 [3896]E(f317(f317(f124(x38961),f159(x38961,x38962,x38963)),f317(f317(f141(x38961),x38963),f103(x38961))),f317(f317(f141(x38961),x38963),f159(x38961,x38962,x38963))) % 169.26/169.07 [4069]P1(f317(f317(f224(f906(x40691,a894)),f317(f162(x40691),f317(f126(x40691,x40692),x40693))),f317(f162(x40691),x40693))) % 169.26/169.07 [4111]P1(f317(f317(f224(f906(x41111,a894)),f317(f162(x41111),f317(f317(f165(x41111),x41112),x41113))),f317(f162(x41111),x41113))) % 169.26/169.07 [4112]P1(f317(f317(f224(f906(x41121,a894)),f317(f162(x41121),f317(f317(f128(x41121),x41122),x41123))),f317(f162(x41121),x41123))) % 169.26/169.07 [4116]P1(f317(f317(f224(f906(x41161,a894)),f317(f162(x41161),f166(x41161,x41162,x41163))),f317(f162(x41161),x41162))) % 169.26/169.07 [4117]P1(f317(f317(f224(f906(x41171,a894)),f317(f162(x41171),f160(x41171,x41172,x41173))),f317(f162(x41171),x41173))) % 169.26/169.07 [4138]P27(f905(x41381,x41382),f905(x41382,x41381),f317(f247(x41381,x41382,f905(x41382,x41381)),f317(f7(x41382,x41381,f905(x41382,x41381)),f242(x41382,x41381))),x41383) % 169.26/169.07 [4149]E(f317(f317(f317(f173(f898(x41491),f898(x41491)),f40(a897,x41492,f317(f179(f898(x41491)),x41493))),f157(x41491)),x41493),f317(f317(f317(f173(f898(x41491),f898(x41491)),x41492),f157(x41491)),x41493)) % 169.26/169.07 [4193]P1(f317(f317(f319(f905(f898(x41931),f898(x41931))),f317(f317(f242(f898(x41931),f898(x41931)),x41932),x41932)),f148(x41931,f297(x41931,x41933)))) % 169.26/169.07 [4332]E(f79(f905(x43321,x43322),f317(f317(f18(f905(x43321,x43322),x43322,a894),f317(f317(f8(x43321,f906(x43322,a894),f905(x43321,x43322)),x43323),f241(x43321,x43322))),f246(x43321,x43322))),f79(f905(x43321,x43322),f317(f247(x43321,x43322,a894),x43323))) % 169.26/169.07 [4333]E(f84(f905(x43331,x43332),f317(f317(f18(f905(x43331,x43332),x43332,a894),f317(f317(f8(x43331,f906(x43332,a894),f905(x43331,x43332)),x43333),f241(x43331,x43332))),f246(x43331,x43332))),f84(f905(x43331,x43332),f317(f247(x43331,x43332,a894),x43333))) % 169.26/169.07 [4366]E(f317(f317(f278(f905(a897,x43661),x43661),f309(a897,x43661,a230,x43662)),f317(f317(f18(x43661,x43661,f905(a897,x43661)),f317(f317(f8(a897,f906(x43661,f905(a897,x43661)),x43661),f242(a897,x43661)),x43663)),f5(x43661))),f311(x43661,x43663,x43662)) % 169.26/169.07 [4428]E(f317(f248(x44281,x44281,x44282,x44282,f5(x44281),f5(x44282)),x44283),x44283) % 169.26/169.07 [4501]E(f317(f132(f898(f898(x45011)),f898(f898(x45011)),f124(f898(x45011)),f103(f898(x45011))),f317(f317(f144(f898(x45011),f898(f898(x45011))),f317(f317(f7(f898(x45011),f898(x45011),f898(f898(x45011))),f317(f317(f8(f906(x45011,f898(x45011)),f906(f898(x45011),f898(f898(x45011))),f898(x45011)),f144(x45011,f898(x45011))),f317(f7(x45011,f898(x45011),f898(x45011)),f141(x45011)))),x45012)),f50(x45011,x45013,x45012))),f50(x45011,f317(a102,x45013),x45012)) % 169.26/169.07 [4557]E(f213(a897,f905(x45571,f899(x45571)),f2(a897),f317(f247(x45571,f899(x45571),a897),f317(f317(f7(x45571,a897,f906(f899(x45571),a897)),f317(f317(f8(f906(f899(x45571),f906(a897,a897)),f906(a897,f906(f899(x45571),a897)),x45571),f7(f899(x45571),a897,a897)),f317(f317(f8(f906(f899(x45571),a897),f906(f899(x45571),f906(a897,a897)),x45571),f317(f8(a897,f906(a897,a897),f899(x45571)),f74(a897))),f317(f317(f7(x45571,f906(f899(x45571),a897),f906(f899(x45571),a897)),f317(f317(f8(f906(a897,a897),f906(f906(f899(x45571),a897),f906(f899(x45571),a897)),x45571),f8(a897,a897,f899(x45571))),f317(f317(f8(a897,f906(a897,a897),x45571),f74(a897)),x45572))),f115(x45571,x45572))))),f72(a897))),f317(f125(x45571),x45573)),f317(f115(x45571,x45572),x45573)) % 169.26/169.07 [4565]E(f317(f317(f80(a1,x45651),f208(f317(f317(f67(f905(a1,a1),a1,x45651,f246(a1,a1)),f202(x45651)),x45652),f317(f317(f67(f905(a1,a1),a1,x45651,f246(a1,a1)),f202(x45651)),x45653))),f317(f317(f18(a1,a1,x45651),f317(f317(f8(a1,f906(a1,x45651),a1),f191(x45651)),f317(f317(f18(a1,a1,a1),f317(f317(f8(a1,f906(a1,a1),a1),f74(a1)),f317(f317(f8(a1,a1,a1),f317(f75(a1),f317(f317(f67(f905(a1,a1),a1,x45651,f241(a1,a1)),f202(x45651)),x45652))),f317(f317(f7(a1,a1,a1),f30(a1)),f317(f317(f67(f905(a1,a1),a1,x45651,f246(a1,a1)),f202(x45651)),x45652))))),f317(f317(f8(a1,a1,a1),f317(f75(a1),f317(f317(f67(f905(a1,a1),a1,x45651,f241(a1,a1)),f202(x45651)),x45653))),f317(f317(f7(a1,a1,a1),f30(a1)),f317(f317(f67(f905(a1,a1),a1,x45651,f246(a1,a1)),f202(x45651)),x45653)))))),f5(a1))),f220(x45651,x45652,x45653)) % 169.26/169.07 [4588]~E(f317(f317(f141(x45881),x45882),x45883),x45883) % 169.26/169.07 [4591]~E(f317(f317(f141(x45911),x45912),x45913),f103(x45911)) % 169.26/169.07 [4597]~E(f317(f317(f299(x45971),x45972),x45973),f178(f906(x45971,a894))) % 169.26/169.07 [4618]~E(f317(f300(x46181,f906(x46181,a894),x46182),x46183),f317(f298(x46181),x46183)) % 169.26/169.07 [3477]E(f317(f317(f149(x34771,f103(x34771)),x34772),x34773),f103(x34771)) % 169.26/169.07 [3478]E(f317(f131(x34781),f317(f317(f141(x34781),x34782),x34783)),x34782) % 169.26/169.07 [3479]E(f317(f161(x34791),f317(f317(f141(x34791),x34792),x34793)),x34793) % 169.26/169.07 [3520]E(f317(f317(f128(x35201),f72(a897)),f317(f317(f141(x35201),x35202),x35203)),x35203) % 169.26/169.07 [3553]E(f104(x35531,f317(f317(f128(x35531),x35532),x35533)),f317(f317(f128(x35531),x35532),f104(x35531,x35533))) % 169.26/169.07 [3555]E(f317(f317(f149(x35551,x35552),x35553),f317(f317(f154(x35551),x35552),x35553)),x35552) % 169.26/169.07 [3575]E(f317(f317(f299(x35751),x35752),f317(f317(f299(x35751),x35752),x35753)),f317(f317(f299(x35751),x35752),x35753)) % 169.26/169.07 [3588]E(f317(f317(f299(x35881),x35882),f317(f162(x35881),x35883)),f317(f162(x35881),f317(f317(f141(x35881),x35882),x35883))) % 169.26/169.07 [3590]E(f317(f317(f128(x35901),x35902),f317(f161(x35901),x35903)),f317(f161(x35901),f317(f317(f128(x35901),x35902),x35903))) % 169.26/169.07 [3602]E(f317(f317(f165(x36021),f72(a897)),f317(f317(f141(x36021),x36022),x36023)),f317(f317(f141(x36021),x36022),f103(x36021))) % 169.26/169.07 [3645]E(f317(f57(x36451,x36452),f317(f317(f299(x36451),x36453),f178(f906(x36451,a894)))),x36453) % 169.26/169.07 [3687]E(f317(f317(f74(a897),x36871),f317(f317(f74(a897),x36872),x36873)),f317(f317(f74(a897),x36872),f317(f317(f74(a897),x36871),x36873))) % 169.26/169.07 [3688]E(f317(f317(f74(a1),x36881),f317(f317(f74(a1),x36882),x36883)),f317(f317(f74(a1),x36882),f317(f317(f74(a1),x36881),x36883))) % 169.26/169.07 [3693]E(f317(f317(f244(x36931,x36932),f178(f906(x36931,a894))),x36933),f178(f906(f905(x36931,x36932),a894))) % 169.26/169.07 [3717]E(f317(f317(f91(f906(x37171,a894)),x37172),x37173),f317(f317(f91(f906(x37171,a894)),x37173),x37172)) % 169.26/169.07 [3718]E(f317(f317(f92(f906(x37181,a894)),x37182),x37183),f317(f317(f92(f906(x37181,a894)),x37183),x37182)) % 169.26/169.07 [3720]E(f317(f317(f124(x37201),x37202),f317(f317(f141(x37201),x37203),f103(x37201))),f317(f157(x37201),f317(f317(f141(x37201),x37203),x37202))) % 169.26/169.07 [3721]E(f317(f317(f124(x37211),f317(f158(x37211),x37212)),f317(f158(x37211),x37213)),f317(f158(x37211),f317(f317(f124(x37211),x37213),x37212))) % 169.26/169.07 [3731]E(f317(f161(x37311),f317(f317(f165(x37311),f317(a102,x37312)),x37313)),f317(f317(f165(x37311),x37312),f317(f161(x37311),x37313))) % 169.26/169.07 [3739]P1(f317(f317(f319(x37391),x37392),f317(f317(f299(x37391),x37392),x37393))) % 169.26/169.07 [3743]E(f317(f317(f35(x37431,f906(x37432,a894)),f178(f906(x37431,a894))),x37433),f232(f906(x37432,a894))) % 169.26/169.07 [3746]E(f317(f275(x37461,x37461,f253(x37461,x37462)),x37463),f317(f317(f92(f906(x37461,a894)),x37462),x37463)) % 169.26/169.07 [3760]E(f317(f179(f898(x37601)),f317(f317(f141(x37601),x37602),x37603)),f317(f317(f74(a897),f317(f179(f898(x37601)),x37603)),f317(a102,f2(a897)))) % 169.26/169.07 [3765]E(f104(x37651,f317(f317(f124(x37651),x37652),f317(f317(f141(x37651),x37653),f103(x37651)))),x37652) % 169.26/169.07 [3766]E(f134(x37661,f317(f317(f124(x37661),x37662),f317(f317(f141(x37661),x37663),f103(x37661)))),x37663) % 169.26/169.07 [3774]E(f317(f317(f124(x37741),f317(f317(f165(x37741),x37742),x37743)),f317(f317(f128(x37741),x37742),x37743)),x37743) % 169.26/169.07 [3783]E(f317(f317(f23(a897),f317(f317(f74(a897),x37831),x37832)),f317(f317(f74(a897),x37833),x37832)),f317(f317(f23(a897),x37831),x37833)) % 169.26/169.07 [3784]E(f317(f317(f23(a897),f317(f317(f74(a897),x37841),x37842)),f317(f317(f74(a897),x37841),x37843)),f317(f317(f23(a897),x37842),x37843)) % 169.26/169.07 [3790]E(f317(f317(f124(x37901),f317(f158(x37901),x37902)),f317(f317(f141(x37901),x37903),f103(x37901))),f317(f158(x37901),f317(f317(f141(x37901),x37903),x37902))) % 169.26/169.07 [3792]E(f317(f317(f74(a897),f317(f179(f898(x37921)),x37922)),f317(f179(f898(x37921)),x37923)),f317(f179(f898(x37921)),f317(f317(f124(x37921),x37922),x37923))) % 169.26/169.07 [3795]E(f317(f317(f74(a897),f317(f179(f898(x37951)),x37952)),f317(f179(f898(x37951)),x37953)),f317(f179(f898(x37951)),f163(x37951,x37952,x37953))) % 169.26/169.07 [3802]E(f317(f317(f91(f906(x38021,a894)),f317(f162(x38021),x38022)),f317(f162(x38021),x38023)),f317(f162(x38021),f317(f317(f124(x38021),x38022),x38023))) % 169.26/169.07 [3803]E(f40(a897,f317(f317(f75(a897),x38031),x38032),f317(f317(f75(a897),x38031),x38033)),f317(f317(f75(a897),x38031),f40(a897,x38032,x38033))) % 169.26/169.07 [3815]E(f317(f317(f165(x38151),f317(f317(f23(a897),x38152),f72(a897))),f317(f161(x38151),x38153)),f317(f161(x38151),f317(f317(f165(x38151),x38152),x38153))) % 169.26/169.07 [3820]E(f317(f317(f92(f906(x38201,a894)),x38202),f317(f73(f906(x38201,a894)),x38203)),f317(f317(f23(f906(x38201,a894)),x38202),x38203)) % 169.26/169.07 [3821]E(f317(f317(f23(f906(x38211,a894)),x38212),f317(f73(f906(x38211,a894)),x38213)),f317(f317(f92(f906(x38211,a894)),x38212),x38213)) % 169.26/169.07 [3843]E(f317(f317(f244(x38431,x38432),x38433),f317(f16(f906(x38432,a894),x38431),f178(f906(x38432,a894)))),f178(f906(f905(x38431,x38432),a894))) % 169.26/169.07 [3845]E(f317(f317(f23(a897),f317(f317(f75(a897),x38451),x38452)),f317(f317(f75(a897),x38451),x38453)),f317(f317(f75(a897),x38451),f317(f317(f23(a897),x38452),x38453))) % 169.26/169.07 [3846]E(f317(f317(f74(a897),f317(f317(f75(a897),x38461),x38462)),f317(f317(f75(a897),x38461),x38463)),f317(f317(f75(a897),x38461),f317(f317(f74(a897),x38462),x38463))) % 169.26/169.07 [3847]E(f317(f317(f23(a1),f317(f317(f75(a1),x38471),x38472)),f317(f317(f75(a1),x38471),x38473)),f317(f317(f75(a1),x38471),f317(f317(f23(a1),x38472),x38473))) % 169.26/169.07 [3848]E(f317(f317(f74(a1),f317(f317(f75(a1),x38481),x38482)),f317(f317(f75(a1),x38481),x38483)),f317(f317(f75(a1),x38481),f317(f317(f74(a1),x38482),x38483))) % 169.26/169.07 [3849]E(f317(f317(f75(a1),f317(f317(f234(a1),x38491),x38492)),f317(f317(f234(a1),x38491),x38493)),f317(f317(f234(a1),x38491),f317(f317(f74(a897),x38492),x38493))) % 169.26/169.07 [3863]E(f317(f317(f34(x38631,f906(x38632,a894)),x38633),f317(f16(f906(x38632,a894),x38631),f178(f906(x38632,a894)))),f178(f906(x38632,a894))) % 169.26/169.07 [3865]E(f40(a897,f317(f317(f75(a897),x38651),x38652),f317(f317(f75(a897),x38653),x38652)),f317(f317(f75(a897),f40(a897,x38651,x38653)),x38652)) % 169.26/169.07 [3870]E(f40(a1,f317(f317(f23(a1),x38701),f40(a1,x38702,x38703)),x38703),f40(a1,f317(f317(f23(a1),x38701),x38702),x38703)) % 169.26/169.07 [3871]E(f40(a1,f317(f317(f75(a1),x38711),f40(a1,x38712,x38713)),x38713),f40(a1,f317(f317(f75(a1),x38711),x38712),x38713)) % 169.26/169.07 [3872]P1(f317(f317(f224(f906(x38721,a894)),x38722),f317(f317(f299(x38721),x38723),x38722))) % 169.26/169.07 [3947]E(f317(f317(f35(f906(x39471,a894),f906(x39471,a894)),x39472),f317(f91(f906(x39471,a894)),x39473)),f317(f317(f91(f906(x39471,a894)),x39473),f32(f906(x39471,a894),x39472))) % 169.26/169.07 [3948]E(f317(f317(f34(f906(x39481,a894),f906(x39481,a894)),x39482),f317(f92(f906(x39481,a894)),x39483)),f317(f317(f92(f906(x39481,a894)),x39483),f31(f906(x39481,a894),x39482))) % 169.26/169.07 [3960]E(f317(f162(x39601),f317(f317(f317(f173(f898(x39601),f898(x39601)),x39602),f157(x39601)),x39603)),f317(f162(x39601),x39603)) % 169.26/169.07 [3964]E(f317(f317(f165(x39641),f317(f179(f898(x39641)),f167(x39641,x39642,x39643))),x39643),f167(x39641,x39642,x39643)) % 169.26/169.07 [3968]E(f317(f179(f898(x39681)),f317(f317(f317(f173(f898(x39681),f898(x39681)),x39682),f157(x39681)),x39683)),f317(f179(f898(x39681)),x39683)) % 169.26/169.07 [3971]E(f317(f317(f247(x39711,x39712,x39712),f317(f16(f906(x39712,x39712),x39711),f5(x39712))),x39713),f317(f246(x39711,x39712),x39713)) % 169.26/169.07 [3978]E(f40(a1,f317(f317(f23(a1),f40(a1,x39781,x39782)),x39783),x39782),f40(a1,f317(f317(f23(a1),x39781),x39783),x39782)) % 169.26/169.07 [3979]E(f40(a1,f317(f317(f234(a1),f40(a1,x39791,x39792)),x39793),x39792),f40(a1,f317(f317(f234(a1),x39791),x39793),x39792)) % 169.26/169.07 [3982]E(f317(f317(f34(f906(f905(x39821,x39822),a894),f906(x39822,a894)),x39823),f274(x39821,x39822)),f317(f274(x39821,x39822),f31(f906(f905(x39821,x39822),a894),x39823))) % 169.26/169.07 [3983]E(f317(f317(f34(f906(f905(x39831,x39832),a894),f906(x39831,a894)),x39833),f254(x39831,x39832)),f317(f254(x39831,x39832),f31(f906(f905(x39831,x39832),a894),x39833))) % 169.26/169.07 [4006]E(f317(f67(x40061,x40061,x40061,x40062),f317(f317(f173(x40061,x40061),x40063),x40062)),f317(f317(f173(x40061,x40061),f317(a102,x40063)),x40062)) % 169.26/169.07 [4024]E(f317(f317(f128(x40241),f317(f317(f23(a897),f317(f179(f898(x40241)),x40242)),x40243)),f317(f158(x40241),x40242)),f317(f158(x40241),f317(f317(f165(x40241),x40243),x40242))) % 169.26/169.07 [4025]E(f317(f317(f165(x40251),f317(f317(f23(a897),f317(f179(f898(x40251)),x40252)),x40253)),f317(f158(x40251),x40252)),f317(f158(x40251),f317(f317(f128(x40251),x40253),x40252))) % 169.26/169.07 [4027]E(f317(f317(f74(a897),f317(f155(a897),f317(f317(f144(x40271,a897),x40272),x40273))),f317(f179(f898(x40271)),x40273)),f145(x40271,x40272,x40273)) % 169.26/169.07 [4047]E(f317(f157(x40471),f317(f317(f317(f173(f898(x40471),f898(x40471)),x40472),f157(x40471)),x40473)),f317(f317(f317(f173(f898(x40471),f898(x40471)),f317(a102,x40472)),f157(x40471)),x40473)) % 169.26/169.07 [4061]P1(f317(f317(f224(a897),f317(f179(f898(x40611)),f317(f126(x40611,x40612),x40613))),f317(f179(f898(x40611)),x40613))) % 169.26/169.07 [4077]E(f317(f317(f91(f906(f906(x40771,a894),a894)),f317(f298(x40771),x40772)),f317(f300(f906(x40771,a894),f906(x40771,a894),f317(f299(x40771),x40773)),f317(f298(x40771),x40772))),f317(f298(x40771),f317(f317(f299(x40771),x40773),x40772))) % 169.26/169.07 [4108]P1(f317(f317(f224(a897),f317(f179(f898(x41081)),f167(x41081,x41082,x41083))),f317(f179(f898(x41081)),x41083))) % 169.26/169.07 [4115]E(f317(f254(x41151,x41152),f317(f252(f905(x41151,x41152)),f317(f247(x41151,x41152,a894),x41153))),f317(f252(x41151),f317(f317(f8(f906(x41152,a894),a894,x41151),f81(x41152)),x41153))) % 169.26/169.07 [4127]E(f317(f300(a897,a897,f317(f317(f7(a897,a897,a897),f74(a897)),x41271)),f293(a897,x41272,x41273)),f293(a897,f317(f317(f74(a897),x41272),x41271),f317(f317(f74(a897),x41273),x41271))) % 169.26/169.07 [4141]E(f317(f300(a897,a897,f317(f317(f7(a897,a897,a897),f74(a897)),x41411)),f317(f292(a897,x41412),x41413)),f317(f292(a897,f317(f317(f74(a897),x41412),x41411)),f317(f317(f74(a897),x41413),x41411))) % 169.26/169.07 [4159]E(f317(f317(f171(x41591,x41592),f317(f317(f144(f905(x41591,x41592),x41591),f241(x41591,x41592)),x41593)),f317(f317(f144(f905(x41591,x41592),x41592),f246(x41591,x41592)),x41593)),x41593) % 169.26/169.07 [4164]E(f317(f317(f74(a897),f317(f317(f75(a897),x41641),f40(a897,f317(f317(f30(a897),x41642),x41641),x41643))),f40(a897,x41642,x41641)),f40(a897,x41642,f317(f317(f75(a897),x41641),x41643))) % 169.26/169.07 [4177]E(f317(f317(f124(x41771),x41772),f317(f132(f898(x41771),f898(x41771),f124(x41771),f103(x41771)),x41773)),f317(f132(f898(x41771),f898(x41771),f124(x41771),x41772),x41773)) % 169.26/169.07 [4198]P1(f317(f317(f319(f905(x41981,x41981)),f317(f317(f242(x41981,x41981),x41982),x41982)),f317(f317(f173(f905(x41981,x41981),a894),f2(a897)),x41983))) % 169.26/169.07 [4203]E(f317(f252(x42031),f317(f317(f8(f906(x42032,a894),a894,x42031),f81(x42032)),f317(f7(x42032,x42031,a894),x42033))),f317(f274(x42032,x42031),f317(f252(f905(x42032,x42031)),f317(f247(x42032,x42031,a894),x42033)))) % 169.26/169.07 [4220]E(f317(f317(f91(f906(x42201,a894)),f317(f317(f34(a897,f906(x42201,a894)),f293(a897,f72(a897),x42202)),x42203)),f317(x42203,f2(a897))),f317(f317(f34(a897,f906(x42201,a894)),f317(f291(a897),x42202)),x42203)) % 169.26/169.07 [4235]E(f317(f132(f898(x42351),f898(x42351),f124(x42351),f103(x42351)),f317(f317(f144(f898(x42351),f898(x42351)),f126(x42351,x42352)),x42353)),f317(f126(x42351,x42352),f317(f132(f898(x42351),f898(x42351),f124(x42351),f103(x42351)),x42353))) % 169.26/169.07 [4239]E(f317(f246(f898(x42391),f898(x42391)),f156(x42391,x42392,x42393)),f317(f126(x42391,f317(f67(a894,a894,x42391,a312),x42392)),x42393)) % 169.26/169.07 [4284]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),x42841),f317(f317(f30(a1),x42842),x42841))),f40(a1,x42842,x42841))),x42843),f317(f317(f74(a1),x42842),x42843)) % 169.26/169.07 [4321]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f75(a1),f317(f317(f30(a1),x43211),x43212)),x43212)),f40(a1,x43211,x43212))),x43213),f317(f317(f74(a1),x43211),x43213)) % 169.26/169.07 [4347]E(f79(f905(x43471,x43472),f317(f247(x43471,x43472,a894),f317(f317(f8(f906(x43472,f905(x43471,x43472)),f906(x43472,a894),x43471),f317(f8(f905(x43471,x43472),a894,x43472),x43473)),f242(x43471,x43472)))),f79(f905(x43471,x43472),x43473)) % 169.26/169.07 [4348]E(f84(f905(x43481,x43482),f317(f247(x43481,x43482,a894),f317(f317(f8(f906(x43482,f905(x43481,x43482)),f906(x43482,a894),x43481),f317(f8(f905(x43481,x43482),a894,x43482),x43483)),f242(x43481,x43482)))),f84(f905(x43481,x43482),x43483)) % 169.26/169.07 [4375]P1(f317(f317(f224(f906(x43751,a894)),f31(f906(x43751,a894),f317(f317(f92(f906(f906(x43751,a894),a894)),x43752),x43753))),f317(f317(f92(f906(x43751,a894)),f31(f906(x43751,a894),x43752)),f31(f906(x43751,a894),x43753)))) % 169.26/169.07 [4376]E(f317(f158(x43761),f317(f317(f317(f173(f898(x43761),f898(x43761)),f317(f317(f23(a897),f317(f179(f898(x43761)),x43762)),f40(a897,x43763,f317(f179(f898(x43761)),x43762)))),f157(x43761)),x43762)),f317(f317(f317(f173(f898(x43761),f898(x43761)),x43763),f157(x43761)),f317(f158(x43761),x43762))) % 169.26/169.07 [4413]P1(f317(f317(f224(a897),f317(f179(f898(x44131)),f317(f317(f128(x44131),f317(f179(f898(x44131)),f167(x44131,x44132,x44133))),x44133))),f317(f179(f898(x44131)),x44133))) % 169.26/169.07 [4630]~P1(f317(f56(x46301,x46302,f178(f906(x46301,a894))),x46303)) % 169.26/169.07 [4635]~P1(f317(f317(f319(f905(x46351,x46351)),f317(f317(f242(x46351,x46351),x46352),x46353)),f143(x46351,f103(f906(x46351,a897))))) % 169.26/169.07 [3732]E(f317(f179(f898(x37321)),f317(f317(f165(x37321),x37322),x37323)),f317(f317(f228(a897),f317(f179(f898(x37321)),x37323)),x37322)) % 169.26/169.07 [3733]E(f317(f179(f898(x37331)),f317(f317(f128(x37331),x37332),x37333)),f317(f317(f23(a897),f317(f179(f898(x37331)),x37333)),x37332)) % 169.26/169.07 [3759]E(f317(f179(f898(f898(x37591))),f50(x37591,x37592,x37593)),f317(f317(f234(a897),f317(f179(f898(x37591)),x37593)),x37592)) % 169.26/169.07 [3776]E(f317(f317(f30(a897),f317(f317(f30(a897),x37761),x37762)),x37763),f317(f317(f30(a897),x37761),f317(f317(f75(a897),x37762),x37763))) % 169.26/169.07 [3777]E(f317(f317(f23(a897),f317(f317(f23(a897),x37771),x37772)),x37773),f317(f317(f23(a897),x37771),f317(f317(f74(a897),x37772),x37773))) % 169.26/169.07 [3778]E(f317(f317(f74(a897),f317(f317(f74(a897),x37781),x37782)),x37783),f317(f317(f74(a897),x37781),f317(f317(f74(a897),x37782),x37783))) % 169.26/169.07 [3779]E(f317(f317(f74(a1),f317(f317(f74(a1),x37791),x37792)),x37793),f317(f317(f74(a1),x37791),f317(f317(f74(a1),x37792),x37793))) % 169.26/169.07 [3780]E(f317(f317(f75(a897),f317(f317(f75(a897),x37801),x37802)),x37803),f317(f317(f75(a897),x37801),f317(f317(f75(a897),x37802),x37803))) % 169.26/169.07 [3781]E(f317(f317(f75(a1),f317(f317(f75(a1),x37811),x37812)),x37813),f317(f317(f75(a1),x37811),f317(f317(f75(a1),x37812),x37813))) % 169.26/169.07 [3782]E(f317(f317(f234(a1),f317(f317(f234(a1),x37821),x37822)),x37823),f317(f317(f234(a1),x37821),f317(f317(f75(a897),x37822),x37823))) % 169.26/169.07 [3801]E(f152(x38011,f317(f317(f141(f906(x38011,a894)),x38012),x38013)),f164(x38011,x38012,f152(x38011,x38013))) % 169.26/169.07 [3844]E(f317(f317(f23(a897),f317(f317(f23(a897),x38441),x38442)),x38443),f317(f317(f23(a897),f317(f317(f23(a897),x38441),x38443)),x38442)) % 169.26/169.07 [3852]E(f317(f317(f92(f906(x38521,a894)),x38522),f317(f317(f23(f906(x38521,a894)),x38523),x38522)),f178(f906(x38521,a894))) % 169.26/169.07 [3856]E(f317(f317(f144(a897,x38561),f317(f16(x38561,a897),x38562)),f129(a897,f317(f292(a897,f2(a897)),x38563))),f159(x38561,x38563,x38562)) % 169.26/169.07 [3894]E(f32(f906(x38941,a894),f317(f317(f299(f906(x38941,a894)),x38942),x38943)),f317(f317(f92(f906(x38941,a894)),x38942),f32(f906(x38941,a894),x38943))) % 169.26/169.07 [3895]E(f31(f906(x38951,a894),f317(f317(f299(f906(x38951,a894)),x38952),x38953)),f317(f317(f91(f906(x38951,a894)),x38952),f31(f906(x38951,a894),x38953))) % 169.26/169.07 [3897]E(f159(x38971,f317(f179(f898(x38971)),f317(f126(x38971,f317(a314,x38972)),x38973)),x38972),f317(f126(x38971,f317(a314,x38972)),x38973)) % 169.26/169.07 [3899]E(f317(f317(f23(a897),f317(f317(f75(a897),x38991),x38992)),f317(f317(f75(a897),x38993),x38992)),f317(f317(f75(a897),f317(f317(f23(a897),x38991),x38993)),x38992)) % 169.26/169.07 [3900]E(f317(f317(f74(a897),f317(f317(f75(a897),x39001),x39002)),f317(f317(f75(a897),x39003),x39002)),f317(f317(f75(a897),f317(f317(f74(a897),x39001),x39003)),x39002)) % 169.26/169.07 [3901]E(f317(f317(f23(a1),f317(f317(f75(a1),x39011),x39012)),f317(f317(f75(a1),x39013),x39012)),f317(f317(f75(a1),f317(f317(f23(a1),x39011),x39013)),x39012)) % 169.26/169.07 [3902]E(f317(f317(f74(a1),f317(f317(f75(a1),x39021),x39022)),f317(f317(f75(a1),x39023),x39022)),f317(f317(f75(a1),f317(f317(f74(a1),x39021),x39023)),x39022)) % 169.26/169.07 [3904]E(f317(f317(f228(a897),f317(f317(f23(a897),x39041),x39042)),f317(f317(f23(a897),x39043),x39042)),f317(f317(f23(a897),f317(f317(f228(a897),x39041),x39043)),x39042)) % 169.26/169.07 [3924]E(f317(f317(f92(f906(f898(x39241),a894)),f150(x39241,x39242)),f150(x39241,x39243)),f150(x39241,f317(f317(f92(f906(x39241,a894)),x39242),x39243))) % 169.26/169.07 [3927]E(f317(f317(f91(f906(x39271,a894)),x39272),f317(f317(f23(f906(x39271,a894)),x39273),x39272)),f317(f317(f91(f906(x39271,a894)),x39272),x39273)) % 169.26/169.07 [3928]E(f317(f317(f91(f906(x39281,a894)),x39282),f317(f317(f91(f906(x39281,a894)),x39282),x39283)),f317(f317(f91(f906(x39281,a894)),x39282),x39283)) % 169.26/169.07 [3929]E(f317(f317(f92(f906(x39291,a894)),x39292),f317(f317(f92(f906(x39291,a894)),x39292),x39293)),f317(f317(f92(f906(x39291,a894)),x39292),x39293)) % 169.26/169.07 [3941]E(f317(f317(f279(x39411,x39412,x39412),x39413),f297(x39412,f178(f906(f905(x39412,x39412),a894)))),x39413) % 169.26/169.07 [3944]E(f317(f317(f91(f906(x39441,a894)),f317(f317(f299(x39441),x39442),f178(f906(x39441,a894)))),x39443),f317(f317(f299(x39441),x39442),x39443)) % 169.26/169.07 [3963]E(f317(f317(f23(a897),f317(f317(f23(a897),f317(a102,x39631)),x39632)),f317(a102,x39633)),f317(f317(f23(a897),f317(f317(f23(a897),x39631),x39632)),x39633)) % 169.26/169.07 [3991]E(f317(f317(f92(f906(f906(x39911,a894),a894)),f317(f298(x39911),x39912)),f317(f298(x39911),x39913)),f317(f298(x39911),f317(f317(f92(f906(x39911,a894)),x39912),x39913))) % 169.26/169.07 [3994]E(f317(f317(f91(f906(x39941,a894)),f317(f73(f906(x39941,a894)),x39942)),x39943),f317(f73(f906(x39941,a894)),f317(f317(f23(f906(x39941,a894)),x39942),x39943))) % 169.26/169.07 [4003]E(f317(f317(f299(x40031),x40032),f317(f317(f23(f906(x40031,a894)),x40033),f317(f317(f299(x40031),x40032),f178(f906(x40031,a894))))),f317(f317(f299(x40031),x40032),x40033)) % 169.26/169.07 [4013]P1(f317(f317(f224(f906(x40131,a894)),x40132),f317(f317(f91(f906(x40131,a894)),x40133),x40132))) % 169.26/169.07 [4014]P1(f317(f317(f224(f906(x40141,a894)),x40142),f317(f317(f91(f906(x40141,a894)),x40142),x40143))) % 169.26/169.07 [4018]E(f317(f317(f92(f906(x40181,a894)),f317(f73(f906(x40181,a894)),x40182)),f317(f73(f906(x40181,a894)),x40183)),f317(f73(f906(x40181,a894)),f317(f317(f91(f906(x40181,a894)),x40182),x40183))) % 169.26/169.07 [4019]E(f317(f317(f91(f906(x40191,a894)),f317(f73(f906(x40191,a894)),x40192)),f317(f73(f906(x40191,a894)),x40193)),f317(f73(f906(x40191,a894)),f317(f317(f92(f906(x40191,a894)),x40192),x40193))) % 169.26/169.07 [4033]P1(f317(f317(f224(f906(x40331,a894)),f317(f162(x40331),x40332)),f317(f162(x40331),f317(f317(f141(x40331),x40333),x40332)))) % 169.26/169.07 [4045]E(f317(f317(f91(f906(x40451,a894)),f317(f317(f23(f906(x40451,a894)),x40452),x40453)),f317(f317(f92(f906(x40451,a894)),x40452),x40453)),x40452) % 169.26/169.07 [4095]E(f317(f317(f9(x40951,a1),f317(f317(f8(a897,a1,x40951),f90(a1)),x40952)),x40953),f317(f90(a1),f317(f317(f9(x40951,a897),x40952),x40953))) % 169.26/169.07 [4096]E(f317(f317(f6(x40961,a1),f317(f317(f8(a897,a1,x40961),f90(a1)),x40962)),x40963),f317(f90(a1),f317(f317(f6(x40961,a897),x40962),x40963))) % 169.26/169.07 [4143]E(f317(f317(f124(x41431),f167(x41431,x41432,x41433)),f317(f317(f128(x41431),f317(f179(f898(x41431)),f167(x41431,x41432,x41433))),x41433)),x41433) % 169.26/169.07 [4147]E(f317(f73(f906(f905(x41471,x41472),a894)),f317(f317(f244(x41471,x41472),x41473),f317(f16(f906(x41472,a894),x41471),f232(f906(x41472,a894))))),f317(f317(f244(x41471,x41472),f317(f73(f906(x41471,a894)),x41473)),f317(f16(f906(x41472,a894),x41471),f232(f906(x41472,a894))))) % 169.26/169.07 [4148]E(f317(f73(f906(f905(x41481,x41482),a894)),f317(f317(f244(x41481,x41482),f232(f906(x41481,a894))),f317(f16(f906(x41482,a894),x41481),x41483))),f317(f317(f244(x41481,x41482),f232(f906(x41481,a894))),f317(f16(f906(x41482,a894),x41481),f317(f73(f906(x41482,a894)),x41483)))) % 169.26/169.07 [4199]E(f317(f317(f34(f906(x41991,a894),f906(x41991,a894)),x41992),f317(f317(f7(f906(x41991,a894),f906(x41991,a894),f906(x41991,a894)),f92(f906(x41991,a894))),x41993)),f317(f317(f92(f906(x41991,a894)),f31(f906(x41991,a894),x41992)),x41993)) % 169.26/169.07 [4205]E(f317(f132(f898(x42051),f898(x42051),f124(x42051),f103(x42051)),f317(f317(f141(f898(x42051)),x42052),x42053)),f317(f317(f124(x42051),x42052),f317(f132(f898(x42051),f898(x42051),f124(x42051),f103(x42051)),x42053))) % 169.26/169.07 [4226]E(f317(f317(f299(f906(x42261,a894)),f317(f275(x42261,x42261,x42262),f317(f317(f299(x42261),x42263),f178(f906(x42261,a894))))),f178(f906(f906(x42261,a894),a894))),f317(f317(f55(x42261),f317(f317(f299(x42261),x42263),f178(f906(x42261,a894)))),x42262)) % 169.26/169.07 [4236]E(f317(f317(f74(a897),f317(f317(f75(a897),x42361),f317(f317(f30(a897),x42362),x42363))),f317(f317(f30(a897),f317(f317(f75(a897),x42361),f40(a897,x42362,x42363))),x42363)),f317(f317(f30(a897),f317(f317(f75(a897),x42361),x42362)),x42363)) % 169.26/169.07 [4237]E(f317(f317(f74(a1),f317(f317(f75(a1),x42371),f317(f317(f30(a1),x42372),x42373))),f317(f317(f30(a1),f317(f317(f75(a1),x42371),f40(a1,x42372,x42373))),x42373)),f317(f317(f30(a1),f317(f317(f75(a1),x42371),x42372)),x42373)) % 169.26/169.07 [4269]E(f317(f317(f23(f906(x42691,a894)),f317(f162(x42691),x42692)),f317(f317(f299(x42691),x42693),f178(f906(x42691,a894)))),f317(f162(x42691),f317(f126(x42691,f317(f317(f8(a894,a894,x42691),a312),f317(a314,x42693))),x42692))) % 169.26/169.07 [4319]E(f317(f317(f124(x43191),f317(f132(f898(x43191),f898(x43191),f124(x43191),f103(x43191)),x43192)),f317(f132(f898(x43191),f898(x43191),f124(x43191),f103(x43191)),x43193)),f317(f132(f898(x43191),f898(x43191),f124(x43191),f103(x43191)),f317(f317(f124(f898(x43191)),x43192),x43193))) % 169.26/169.07 [4322]E(f317(f317(f242(f898(x43221),f898(x43221)),f317(f126(x43221,x43222),x43223)),f317(f126(x43221,f317(f67(a894,a894,x43221,a312),x43222)),x43223)),f156(x43221,x43222,x43223)) % 169.26/169.07 [4325]E(f317(f317(f74(a897),f317(f317(f74(a897),f317(f317(f30(a897),x43251),x43252)),f317(f317(f30(a897),x43253),x43252))),f317(f317(f30(a897),f317(f317(f74(a897),f40(a897,x43251,x43252)),f40(a897,x43253,x43252))),x43252)),f317(f317(f30(a897),f317(f317(f74(a897),x43251),x43253)),x43252)) % 169.26/169.07 [4326]E(f317(f317(f74(a1),f317(f317(f74(a1),f317(f317(f30(a1),x43261),x43262)),f317(f317(f30(a1),x43263),x43262))),f317(f317(f30(a1),f317(f317(f74(a1),f40(a1,x43261,x43262)),f40(a1,x43263,x43262))),x43262)),f317(f317(f30(a1),f317(f317(f74(a1),x43261),x43263)),x43262)) % 169.26/169.07 [4379]E(f317(f317(f92(f906(f898(x43791),a894)),f317(f317(f7(f898(x43791),f906(f898(x43791),a894),a894),f319(f898(x43791))),f151(x43791,x43792))),f317(f317(f7(f898(x43791),f906(f898(x43791),a894),a894),f319(f898(x43791))),f151(x43791,x43793))),f150(x43791,f317(f317(f92(f906(x43791,a894)),f317(f317(f7(x43791,f906(x43791,a894),a894),f319(x43791)),x43792)),f317(f317(f7(x43791,f906(x43791,a894),a894),f319(x43791)),x43793)))) % 169.26/169.07 [4391]E(f317(f252(x43911),f317(f317(f18(x43911,a894,a894),f317(f317(f8(a894,f906(a894,a894),x43911),a316),f317(f317(f7(x43911,x43911,a894),a314),x43912))),f317(f317(f7(x43911,f906(x43911,a894),a894),f319(x43911)),x43913))),f317(f317(f299(x43911),x43912),x43913)) % 169.26/169.07 [4411]E(f317(f317(f80(f898(f898(x44111)),f898(f898(x44111))),f49(x44111,x44112)),f317(f317(f18(f898(f898(x44111)),f898(f898(x44111)),f898(f898(x44111))),f317(f317(f8(f898(f898(x44111)),f906(f898(f898(x44111)),f898(f898(x44111))),f898(f898(x44111))),f124(f898(x44111))),f317(f144(f898(x44111),f898(x44111)),f317(f141(x44111),x44113)))),f5(f898(f898(x44111))))),f49(x44111,f317(f317(f141(x44111),x44113),x44112))) % 169.26/169.07 [4414]E(f317(f252(x44141),f317(f317(f18(x44141,a894,a894),f317(f317(f8(a894,f906(a894,a894),x44141),a316),f317(f317(f7(x44141,f906(x44141,a894),a894),f319(x44141)),x44142))),f317(f317(f7(x44141,f906(x44141,a894),a894),f319(x44141)),x44143))),f317(f317(f91(f906(x44141,a894)),x44142),x44143)) % 169.26/169.07 [4415]E(f317(f252(x44151),f317(f317(f18(x44151,a894,a894),f317(f317(f8(a894,f906(a894,a894),x44151),a315),f317(f317(f7(x44151,f906(x44151,a894),a894),f319(x44151)),x44152))),f317(f317(f7(x44151,f906(x44151,a894),a894),f319(x44151)),x44153))),f317(f317(f92(f906(x44151,a894)),x44152),x44153)) % 169.26/169.07 [4504]E(f317(f317(f34(x45041,f906(f906(x45041,a894),a894)),x45042),f317(f317(f7(x45041,f906(f906(x45041,a894),a894),f906(f906(x45041,a894),a894)),f317(f317(f8(f906(x45041,a894),f906(f906(f906(x45041,a894),a894),f906(f906(x45041,a894),a894)),x45041),f299(f906(x45041,a894))),f317(f317(f8(f906(x45041,a894),f906(x45041,a894),x45041),f275(x45041,x45041,x45043)),f317(f317(f7(x45041,f906(x45041,a894),f906(x45041,a894)),f299(x45041)),f178(f906(x45041,a894)))))),f178(f906(f906(x45041,a894),a894)))),f317(f317(f55(x45041),x45042),x45043)) % 169.26/169.07 [4506]E(f317(f317(f191(x45061),f317(f317(f75(a1),f317(f317(f67(f905(a1,a1),a1,x45061,f241(a1,a1)),f202(x45061)),x45062)),f317(f317(f67(f905(a1,a1),a1,x45061,f241(a1,a1)),f202(x45061)),x45063))),f317(f317(f75(a1),f317(f317(f67(f905(a1,a1),a1,x45061,f246(a1,a1)),f202(x45061)),x45062)),f317(f317(f67(f905(a1,a1),a1,x45061,f246(a1,a1)),f202(x45061)),x45063))),f218(x45061,x45062,x45063)) % 169.26/169.07 [4509]E(f317(f252(f898(x45091)),f317(f317(f18(f898(x45091),a894,a894),f317(f317(f8(a894,f906(a894,a894),f898(x45091)),a315),f317(f317(f7(f898(x45091),a897,a894),f317(f317(f8(a897,f906(a897,a894),f898(x45091)),a314),f179(f898(x45091)))),x45092))),f317(f317(f7(f898(x45091),f906(x45091,a894),a894),f317(f317(f8(f906(x45091,a894),f906(f906(x45091,a894),a894),f898(x45091)),f224(f906(x45091,a894))),f162(x45091))),f317(f162(x45091),x45093)))),f317(f162(f898(x45091)),f50(x45091,x45092,x45093))) % 169.26/169.07 [3917]E(f40(a897,f317(f317(f74(a897),f317(f317(f75(a897),x39171),x39172)),x39173),x39172),f40(a897,x39173,x39172)) % 169.26/169.07 [3962]E(f129(a897,f317(f292(a897,f317(f317(f74(a897),x39621),x39622)),x39623)),f317(f317(f128(a897),x39622),f129(a897,f317(f292(a897,x39621),x39623)))) % 169.26/169.07 [4002]E(f317(f317(f74(a1),f317(f90(a1),x40021)),f317(f317(f74(a1),f317(f90(a1),x40022)),x40023)),f317(f317(f74(a1),f317(f90(a1),f317(f317(f74(a897),x40021),x40022))),x40023)) % 169.26/169.07 [4009]E(f317(f317(f23(f906(x40091,a894)),f317(f317(f23(f906(x40091,a894)),x40092),x40093)),x40093),f317(f317(f23(f906(x40091,a894)),x40092),x40093)) % 169.26/169.07 [4010]E(f317(f317(f91(f906(x40101,a894)),f317(f317(f23(f906(x40101,a894)),x40102),x40103)),x40103),f317(f317(f91(f906(x40101,a894)),x40102),x40103)) % 169.26/169.07 [4034]E(f317(f317(f279(x40341,x40341,x40342),f297(x40341,f178(f906(f905(x40341,x40341),a894)))),x40343),x40343) % 169.26/169.07 [4042]E(f317(f317(f91(f906(x40421,a894)),f317(f271(x40421),x40422)),f317(f271(x40421),x40423)),f317(f271(x40421),f317(f317(f91(f906(f905(x40421,x40421),a894)),x40422),x40423))) % 169.26/169.07 [4052]E(f256(x40521,f317(f317(f141(f905(a89,x40521)),f317(f317(f242(a89,x40521),f2(a89)),x40522)),x40523)),f256(x40521,x40523)) % 169.26/169.07 [4054]E(f317(f317(f92(f906(x40541,a894)),f32(f906(x40541,a894),x40542)),f32(f906(x40541,a894),x40543)),f32(f906(x40541,a894),f317(f317(f91(f906(f906(x40541,a894),a894)),x40542),x40543))) % 169.26/169.07 [4055]E(f317(f317(f91(f906(x40551,a894)),f31(f906(x40551,a894),x40552)),f31(f906(x40551,a894),x40553)),f31(f906(x40551,a894),f317(f317(f91(f906(f906(x40551,a894),a894)),x40552),x40553))) % 169.26/169.07 [4092]E(f317(f317(f279(x40921,x40921,x40921),f317(f317(f173(f905(x40921,x40921),a894),x40922),x40923)),x40923),f317(f317(f173(f905(x40921,x40921),a894),f317(a102,x40922)),x40923)) % 169.26/169.07 [4135]P1(f317(f317(f224(f906(x41351,a894)),f317(f317(f23(f906(x41351,a894)),x41352),x41353)),x41352)) % 169.26/169.07 [4136]P1(f317(f317(f224(f906(x41361,a894)),f317(f317(f92(f906(x41361,a894)),x41362),x41363)),x41363)) % 169.26/169.07 [4137]P1(f317(f317(f224(f906(x41371,a894)),f317(f317(f92(f906(x41371,a894)),x41372),x41373)),x41372)) % 169.26/169.07 [4161]E(f297(x41611,f317(f317(f91(f906(f905(x41611,x41611),a894)),f297(x41611,x41612)),f297(x41611,x41613))),f297(x41611,f317(f317(f91(f906(f905(x41611,x41611),a894)),x41612),x41613))) % 169.26/169.07 [4165]E(f31(f906(x41651,a894),f317(f317(f299(f906(x41651,a894)),x41652),f317(f317(f299(f906(x41651,a894)),x41653),f178(f906(f906(x41651,a894),a894))))),f317(f317(f91(f906(x41651,a894)),x41652),x41653)) % 169.26/169.07 [4166]E(f32(f906(x41661,a894),f317(f317(f299(f906(x41661,a894)),x41662),f317(f317(f299(f906(x41661,a894)),x41663),f178(f906(f906(x41661,a894),a894))))),f317(f317(f92(f906(x41661,a894)),x41662),x41663)) % 169.26/169.07 [4171]E(f317(f317(f279(x41711,x41711,x41711),f317(f317(f173(f905(x41711,x41711),a894),x41712),x41713)),x41713),f317(f317(f279(x41711,x41711,x41711),x41713),f317(f317(f173(f905(x41711,x41711),a894),x41712),x41713))) % 169.26/169.07 [4240]E(f317(f317(f91(f906(x42401,a894)),f317(f252(x42401),f317(f317(f7(x42401,x42401,a894),a314),x42402))),x42403),f317(f317(f299(x42401),x42402),x42403)) % 169.26/169.07 [4242]E(f317(a95,f317(f317(f9(x42421,a1),f317(f317(f8(a897,a1,x42421),f90(a1)),x42422)),x42423)),f317(f317(f9(x42421,a897),x42422),x42423)) % 169.26/169.07 [4243]E(f317(a95,f317(f317(f6(x42431,a1),f317(f317(f8(a897,a1,x42431),f90(a1)),x42432)),x42433)),f317(f317(f6(x42431,a897),x42432),x42433)) % 169.26/169.07 [4316]E(f317(f146(f898(x43161),x43161,f317(f161(x43161),x43162),f317(f16(f906(f898(x43161),f898(x43161)),x43161),f317(f317(f7(f898(x43161),f898(x43161),f898(x43161)),f124(x43161)),x43162))),x43163),f317(f161(x43161),f317(f317(f124(x43161),x43163),x43162))) % 169.26/169.07 [4344]P1(f317(f317(f224(f906(f906(x43441,a894),a894)),f317(f317(f91(f906(f906(x43441,a894),a894)),f317(f298(x43441),x43442)),f317(f298(x43441),x43443))),f317(f298(x43441),f317(f317(f91(f906(x43441,a894)),x43442),x43443)))) % 169.26/169.07 [4433]E(f317(f252(x44331),f317(f317(f18(x44331,a894,a894),f317(f317(f8(a894,f906(a894,a894),x44331),a315),f317(f317(f7(x44331,f906(x44331,a894),a894),f319(x44331)),x44332))),f317(f317(f8(a894,a894,x44331),a312),f317(f317(f7(x44331,f906(x44331,a894),a894),f319(x44331)),x44333)))),f317(f317(f23(f906(x44331,a894)),x44332),x44333)) % 169.26/169.07 [4457]E(f317(f29(a897),f317(f252(a897),f317(f317(f18(a897,a894,a894),f317(f317(f8(a894,f906(a894,a894),a897),a315),f317(f317(f7(a897,a897,a894),f225(a897)),f317(f179(f898(x44571)),x44572)))),f317(f317(f8(x44571,a894,a897),x44573),f317(f154(x44571),x44572))))),f317(f179(f898(x44571)),f317(f126(x44571,x44573),x44572))) % 169.26/169.07 [4459]E(f317(f179(f898(x44591)),f166(x44591,x44592,x44593)),f317(f29(a897),f317(f252(a897),f317(f317(f18(a897,a894,a894),f317(f317(f8(a894,f906(a894,a894),a897),a315),f317(f317(f7(a897,a897,a894),f225(a897)),f317(f179(f898(x44591)),x44592)))),f317(f317(f7(a897,f906(a897,a894),a894),f319(a897)),x44593))))) % 169.26/169.07 [4555]E(f317(f317(f92(f906(f905(f898(x45551),f898(x45551)),a894)),f317(f300(f905(f905(x45551,f898(x45551)),f905(x45551,f898(x45551))),f905(f898(x45551),f898(x45551)),f248(f905(x45551,f898(x45551)),f898(x45551),f905(x45551,f898(x45551)),f898(x45551),f317(f247(x45551,f898(x45551),f898(x45551)),f141(x45551)),f317(f247(x45551,f898(x45551),f898(x45551)),f141(x45551)))),f309(x45551,f898(x45551),x45552,f317(f133(x45551,x45552),x45553)))),f317(f252(f905(f898(x45551),f898(x45551))),f317(f247(f898(x45551),f898(x45551),a894),f317(f317(f7(f898(x45551),f906(f898(x45551),a894),f906(f898(x45551),a894)),f317(f317(f8(f906(a894,a894),f906(f906(f898(x45551),a894),f906(f898(x45551),a894)),f898(x45551)),f8(a894,a894,f898(x45551))),f317(f317(f8(a894,f906(a894,a894),f898(x45551)),a315),f317(f317(f7(f898(x45551),a897,a894),f317(f317(f8(a897,f906(a897,a894),f898(x45551)),a314),f179(f898(x45551)))),f317(a102,x45553))))),f317(f317(f7(f898(x45551),a897,a894),f317(f317(f8(a897,f906(a897,a894),f898(x45551)),a314),f179(f898(x45551)))),f317(a102,x45553)))))),f317(f133(x45551,x45552),f317(a102,x45553))) % 169.26/169.07 [4056]E(f40(a897,f317(a102,f317(f317(f74(a897),f317(f317(f75(a897),x40561),x40562)),x40563)),x40562),f40(a897,f317(a102,x40563),x40562)) % 169.26/169.07 [4302]E(f317(f252(x43021),f317(f317(f18(x43021,a894,a894),f317(f317(f8(a894,f906(a894,a894),x43021),a315),x43022)),x43023)),f317(f317(f92(f906(x43021,a894)),f317(f252(x43021),x43022)),f317(f252(x43021),x43023))) % 169.26/169.07 [4303]E(f317(f252(x43031),f317(f317(f18(x43031,a894,a894),f317(f317(f8(a894,f906(a894,a894),x43031),a316),x43032)),x43033)),f317(f317(f91(f906(x43031,a894)),f317(f252(x43031),x43032)),f317(f252(x43031),x43033))) % 169.26/169.07 [4305]E(f317(f317(f124(x43051),f317(f317(f128(x43051),f40(a897,x43052,f317(f179(f898(x43051)),x43053))),x43053)),f317(f317(f165(x43051),f40(a897,x43052,f317(f179(f898(x43051)),x43053))),x43053)),f317(f317(f317(f173(f898(x43051),f898(x43051)),x43052),f157(x43051)),x43053)) % 169.26/169.07 [4311]E(f317(f252(x43111),f317(f317(f18(x43111,a894,a894),f317(f317(f8(a894,f906(a894,a894),x43111),a320),x43112)),x43113)),f317(f317(f91(f906(x43111,a894)),f317(f73(f906(x43111,a894)),f317(f252(x43111),x43112))),f317(f252(x43111),x43113))) % 169.26/169.07 [4327]E(f317(f317(f74(a897),f317(f179(f898(x43271)),f317(f126(x43271,x43272),x43273))),f317(f179(f898(x43271)),f317(f126(x43271,f317(f317(f8(a894,a894,x43271),a312),x43272)),x43273))),f317(f179(f898(x43271)),x43273)) % 169.26/169.07 [4350]P1(f317(f317(f224(f906(x43501,a894)),f317(f317(f91(f906(x43501,a894)),f32(f906(x43501,a894),x43502)),f32(f906(x43501,a894),x43503))),f32(f906(x43501,a894),f317(f317(f92(f906(f906(x43501,a894),a894)),x43502),x43503)))) % 169.26/169.07 [4364]E(f317(f162(x43641),f317(f126(x43641,f317(f317(f8(a894,a894,x43641),a312),f317(f317(f7(x43641,x43641,a894),a314),x43642))),x43643)),f317(f317(f23(f906(x43641,a894)),f317(f162(x43641),x43643)),f317(f317(f299(x43641),x43642),f178(f906(x43641,a894))))) % 169.26/169.07 [4373]P1(f317(f317(f224(f906(f905(x43731,x43731),a894)),f317(f317(f91(f906(f905(x43731,x43731),a894)),f297(x43731,x43732)),f297(x43731,x43733))),f297(x43731,f317(f317(f91(f906(f905(x43731,x43731),a894)),x43732),x43733)))) % 169.26/169.07 [4396]E(f317(f317(f75(a897),f317(a102,f317(a102,f2(a897)))),f317(f317(f6(a897,a897),f317(f317(f8(a897,a897,a897),f317(f74(a897),x43961)),f317(f317(f7(a897,a897,a897),f75(a897)),x43962))),f317(f272(a897),x43963))),f317(f317(f75(a897),x43963),f317(f317(f74(a897),x43961),f317(f317(f74(a897),x43961),f317(f317(f75(a897),f317(f317(f23(a897),x43963),f72(a897))),x43962))))) % 169.26/169.07 [4406]E(f317(f252(x44061),f317(f317(f18(x44061,a894,a894),f317(f317(f8(a894,f906(a894,a894),x44061),a315),f317(f317(f7(x44061,f906(x44061,a894),a894),f319(x44061)),f317(f162(x44061),x44062)))),x44063)),f317(f162(x44061),f317(f126(x44061,x44063),x44062))) % 169.26/169.07 [4554]E(f317(f252(x45541),f317(f317(f8(f906(a897,a894),a894,x45541),f81(a897)),f317(f317(f7(x45541,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),x45541),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),x45541),f317(f8(a894,f906(a894,a894),a897),a315)),f317(f317(f7(x45541,f906(a897,x45541),f906(a897,a894)),f317(f317(f8(f906(x45541,a894),f906(f906(a897,x45541),f906(a897,a894)),x45541),f8(x45541,a894,a897)),a314)),f317(f154(x45541),x45542))))),f317(f317(f18(a897,a894,a894),f317(f317(f8(a894,f906(a894,a894),a897),a315),f317(f317(f7(a897,a897,a894),f225(a897)),f317(f179(f898(x45541)),x45542)))),f317(f317(f7(a897,f906(a897,a894),a894),f319(a897)),x45543))))),f317(f162(x45541),f166(x45541,x45542,x45543))) % 169.26/169.07 [4446]E(f317(f252(x44461),f317(f317(f18(x44461,a894,a894),f317(f317(f8(a894,f906(a894,a894),x44461),a320),f317(f317(f8(a894,a894,x44461),a312),f317(f317(f7(x44461,x44461,a894),a314),x44462)))),x44463)),f317(f317(f299(x44461),x44462),f317(f252(x44461),x44463))) % 169.26/169.07 [4478]E(f317(f317(f144(f905(x44781,a897),x44781),f241(x44781,a897)),f317(f126(f905(x44781,a897),f317(f317(f7(f905(x44781,a897),f906(a897,a894),a894),f317(f317(f8(a897,f906(f906(a897,a894),a894),f905(x44781,a897)),f319(a897)),f246(x44781,a897))),x44782)),f317(f317(f171(x44781,a897),x44783),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(x44781)),x44783)))))),f166(x44781,x44783,x44782)) % 169.26/169.07 [4505]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(a897,a1),f317(f317(f8(a1,a1,a897),f317(f74(a1),x45051)),f317(f317(f7(a897,a1,a1),f317(f317(f8(a1,f906(a1,a1),a897),f75(a1)),f90(a1))),x45052))),f317(f272(a897),x45053))),f317(f317(f75(a1),f317(f90(a1),x45053)),f317(f317(f74(a1),x45051),f317(f317(f74(a1),x45051),f317(f317(f75(a1),f317(f90(a1),f317(f317(f23(a897),x45053),f72(a897)))),x45052))))) % 169.26/169.07 [4547]E(f317(f252(f905(x45471,x45472)),f317(f247(x45471,x45472,a894),f317(f317(f7(x45471,f906(f905(x45472,x45471),a894),f906(x45472,a894)),f317(f317(f8(f906(x45472,f906(f906(f905(x45472,x45471),a894),a894)),f906(f906(f905(x45472,x45471),a894),f906(x45472,a894)),x45471),f7(x45472,f906(f905(x45472,x45471),a894),a894)),f317(f317(f8(f906(x45472,f905(x45472,x45471)),f906(x45472,f906(f906(f905(x45472,x45471),a894),a894)),x45471),f317(f8(f905(x45472,x45471),f906(f906(f905(x45472,x45471),a894),a894),x45472),f319(f905(x45472,x45471)))),f317(f7(x45472,x45471,f905(x45472,x45471)),f242(x45472,x45471))))),x45473))),f317(f276(x45472,x45471),x45473)) % 169.26/169.08 [4567]E(f317(f252(f898(x45671)),f317(f317(f8(f906(x45671,a894),a894,f898(x45671)),f81(x45671)),f317(f317(f8(f906(x45671,f906(f898(x45671),a894)),f906(x45671,a894),f898(x45671)),f317(f8(f906(f898(x45671),a894),a894,x45671),f81(f898(x45671)))),f317(f317(f7(f898(x45671),f906(x45671,f906(f898(x45671),a894)),f906(x45671,f906(f898(x45671),a894))),f317(f317(f8(f906(x45671,f906(f906(f898(x45671),a894),f906(f898(x45671),a894))),f906(f906(x45671,f906(f898(x45671),a894)),f906(x45671,f906(f898(x45671),a894))),f898(x45671)),f18(x45671,f906(f898(x45671),a894),f906(f898(x45671),a894))),f317(f317(f8(f906(x45671,f906(f898(x45671),f906(a894,a894))),f906(x45671,f906(f906(f898(x45671),a894),f906(f898(x45671),a894))),f898(x45671)),f317(f8(f906(f898(x45671),f906(a894,a894)),f906(f906(f898(x45671),a894),f906(f898(x45671),a894)),x45671),f18(f898(x45671),a894,a894))),f317(f317(f8(f906(x45671,f906(f898(x45671),a894)),f906(x45671,f906(f898(x45671),f906(a894,a894))),f898(x45671)),f317(f8(f906(f898(x45671),a894),f906(f898(x45671),f906(a894,a894)),x45671),f317(f8(a894,f906(a894,a894),f898(x45671)),a315))),f317(f317(f7(f898(x45671),f906(x45671,f906(f898(x45671),f898(x45671))),f906(x45671,f906(f898(x45671),a894))),f317(f317(f8(f906(f906(f898(x45671),f898(x45671)),f906(f898(x45671),a894)),f906(f906(x45671,f906(f898(x45671),f898(x45671))),f906(x45671,f906(f898(x45671),a894))),f898(x45671)),f8(f906(f898(x45671),f898(x45671)),f906(f898(x45671),a894),x45671)),f317(f317(f8(f906(f898(x45671),a894),f906(f906(f898(x45671),f898(x45671)),f906(f898(x45671),a894)),f898(x45671)),f8(f898(x45671),a894,f898(x45671))),a314))),f141(x45671)))))),f317(f317(f7(x45671,f906(f898(x45671),a894),f906(f898(x45671),a894)),f317(f317(f8(f906(a894,a894),f906(f906(f898(x45671),a894),f906(f898(x45671),a894)),x45671),f8(a894,a894,f898(x45671))),f317(f317(f8(a894,f906(a894,a894),x45671),a315),f317(f317(f7(x45671,f906(x45671,a894),a894),f319(x45671)),x45672)))),f317(f317(f7(f898(x45671),f906(f898(x45671),a894),a894),f319(f898(x45671))),x45673)))))),f164(x45671,x45672,x45673)) % 169.26/169.08 [4564]E(f317(f317(f80(a1,f905(a1,a1)),f317(f317(f23(a1),x45641),x45642)),f317(f317(f7(a1,f905(a1,a1),f905(a1,a1)),f317(f317(f18(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f317(f317(f8(a894,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(a1,a1))),f317(f224(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)))),x45643)),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)))),x45643)),x45641))),f317(f38(x45642),f317(f317(f242(a1,a1),x45643),x45641))) % 169.26/169.08 [3618]E(f106(x36181,f317(x36182,x36183),f317(x36184,x36183)),f317(f193(x36181,x36182,x36184),x36183)) % 169.26/169.08 [3672]E(f317(f317(f235(x36721,x36722,x36723),x36724),f2(a897)),x36722) % 169.26/169.08 [3710]E(f175(x37101,x37102,x37103,f317(a102,x37104)),f317(x37103,x37104)) % 169.26/169.08 [3751]E(f160(x37511,x37512,f160(x37511,x37513,x37514)),f160(x37511,x37513,f160(x37511,x37512,x37514))) % 169.26/169.08 [3752]E(f116(x37521,x37522,f106(x37521,x37523,x37524)),f106(x37521,f116(x37521,x37522,x37523),x37524)) % 169.26/169.08 [3885]E(f317(f146(x38851,x38852,x38853,x38854),f103(x38852)),x38853) % 169.26/169.08 [3886]E(f317(f132(x38861,x38862,x38863,x38864),f103(x38862)),x38864) % 169.26/169.08 [3923]E(f317(f179(f902(x39231,x39232)),f210(x39231,x39232,x39233,x39234)),f2(a897)) % 169.26/169.08 [3946]E(f317(f247(x39461,x39462,x39463),f245(x39461,x39462,x39463,x39464)),x39464) % 169.26/169.08 [3990]E(f317(f317(f124(x39901),f159(x39901,x39902,x39903)),f159(x39901,x39904,x39903)),f317(f317(f124(x39901),f159(x39901,x39904,x39903)),f159(x39901,x39902,x39903))) % 169.26/169.08 [4075]E(f317(f317(f249(x40751,x40752,x40753,f905(x40752,x40753)),x40754),f242(x40752,x40753)),x40754) % 169.26/169.08 [4085]E(f117(x40851,x40852,x40853,x40854,f109(x40852)),x40853) % 169.26/169.08 [4091]E(f69(x40911,x40912,x40913,x40914,f317(x40913,x40914)),x40913) % 169.26/169.08 [4357]P44(x43571,x43572,x43573,x43574,f178(f906(x43571,a894)),x43574) % 169.26/169.08 [3425]E(f317(f317(f16(x34251,x34252),x34253),x34254),x34253) % 169.26/169.08 [3700]E(f160(x37001,x37002,f317(f126(x37001,x37003),x37004)),f317(f126(x37001,x37003),f160(x37001,x37002,x37004))) % 169.26/169.08 [3734]E(f317(f317(f58(x37341,x37342,x37343),x37344),f178(f906(x37341,a894))),x37344) % 169.26/169.08 [3758]E(f317(f317(f154(x37581),f317(f317(f141(x37581),x37582),x37583)),f317(a102,x37584)),f317(f317(f154(x37581),x37583),x37584)) % 169.26/169.08 [3825]E(f317(f317(x38251,x38252),f317(f174(x38253,x38254,x38251),x38252)),f317(f174(x38253,x38254,x38251),f317(a102,x38252))) % 169.26/169.08 [3866]E(f245(x38661,x38662,x38663,f317(f247(x38661,x38662,x38663),x38664)),x38664) % 169.26/169.08 [3921]E(f317(f317(f149(x39211,f317(f317(f141(x39211),x39212),x39213)),f2(a897)),x39214),f317(f317(f141(x39211),x39214),x39213)) % 169.26/169.08 [3931]E(f317(f317(f34(f906(x39311,a894),f906(x39312,a894)),x39313),f300(x39311,x39312,x39314)),f317(f300(x39311,x39312,x39314),f31(f906(x39311,a894),x39313))) % 169.26/169.08 [3932]E(f317(f317(f34(f906(x39321,a894),f906(x39322,a894)),x39323),f301(x39322,x39321,x39324)),f317(f301(x39322,x39321,x39324),f31(f906(x39321,a894),x39323))) % 169.26/169.08 [3957]E(f110(x39571,f120(x39572,f899(x39571),x39573,x39574)),f317(f108(x39572,x39571,x39574),x39573)) % 169.26/169.08 [4030]E(f317(f115(x40301,x40302),f116(x40301,x40303,x40304)),f317(f317(f74(a897),f317(f317(f74(a897),f317(x40302,x40303)),f317(f115(x40301,x40302),x40304))),f317(a102,f2(a897)))) % 169.26/169.08 [4051]E(f317(f132(x40511,x40512,f317(f7(x40512,x40511,x40511),x40513),x40514),f317(f158(x40512),f103(x40512))),x40514) % 169.26/169.08 [4155]E(f213(x41551,f905(x41552,f899(x41552)),x41553,f317(f247(x41552,f899(x41552),x41551),x41554),f317(f125(x41552),f109(x41552))),x41553) % 169.26/169.08 [4287]E(f317(f247(x42871,x42872,x42873),f317(f317(f8(f906(x42872,f905(x42871,x42872)),f906(x42872,x42873),x42871),f317(f8(f905(x42871,x42872),x42873,x42872),x42874)),f242(x42871,x42872))),x42874) % 169.26/169.08 [3609]E(f317(f246(x36091,x36092),f317(f317(f242(x36091,x36092),x36093),x36094)),x36094) % 169.26/169.08 [3610]E(f317(f241(x36101,x36102),f317(f317(f242(x36101,x36102),x36103),x36104)),x36103) % 169.26/169.08 [3643]E(f317(f179(f898(x36431)),f317(f317(f149(x36431,x36432),x36433),x36434)),f317(f179(f898(x36431)),x36432)) % 169.26/169.08 [3644]E(f317(f179(f898(x36441)),f317(f317(f144(x36442,x36441),x36443),x36444)),f317(f179(f898(x36442)),x36444)) % 169.26/169.08 [3666]E(f317(f317(f128(x36661),f317(a102,x36662)),f317(f317(f141(x36661),x36663),x36664)),f317(f317(f128(x36661),x36662),x36664)) % 169.26/169.08 [3729]E(f317(f317(f165(x37291),x37292),f159(x37291,x37293,x37294)),f159(x37291,f317(f317(f228(a897),x37292),x37293),x37294)) % 169.26/169.08 [3730]E(f317(f317(f128(x37301),x37302),f159(x37301,x37303,x37304)),f159(x37301,f317(f317(f23(a897),x37303),x37302),x37304)) % 169.26/169.08 [3736]E(f317(f317(f299(x37361),x37362),f317(f317(f299(x37361),x37363),x37364)),f317(f317(f299(x37361),x37363),f317(f317(f299(x37361),x37362),x37364))) % 169.26/169.08 [3740]E(f317(f317(f144(x37401,x37402),x37403),f104(x37401,x37404)),f104(x37402,f317(f317(f144(x37401,x37402),x37403),x37404))) % 169.26/169.08 [3756]E(f317(f158(x37561),f317(f317(f144(x37562,x37561),x37563),x37564)),f317(f317(f144(x37562,x37561),x37563),f317(f158(x37562),x37564))) % 169.26/169.08 [3757]E(f317(f317(f144(x37571,x37572),x37573),f317(f161(x37571),x37574)),f317(f161(x37572),f317(f317(f144(x37571,x37572),x37573),x37574))) % 169.26/169.08 [3772]E(f317(f317(f165(x37721),f317(a102,x37722)),f317(f317(f141(x37721),x37723),x37724)),f317(f317(f141(x37721),x37723),f317(f317(f165(x37721),x37722),x37724))) % 169.26/169.08 [3775]E(f317(f162(x37751),f317(f317(f144(x37752,x37751),x37753),x37754)),f317(f300(x37752,x37751,x37753),f317(f162(x37752),x37754))) % 169.26/169.08 [3788]E(f317(f317(f144(x37881,x37882),f317(f16(x37882,x37881),x37883)),x37884),f159(x37882,f317(f179(f898(x37881)),x37884),x37883)) % 169.26/169.08 [3824]E(f17(x38241,x38242,x38243,f317(a3,f317(a102,f317(a20,x38244)))),f317(x38243,x38244)) % 169.26/169.08 [3828]E(f317(f317(f124(x38281),f317(f126(x38281,x38282),x38283)),f317(f126(x38281,x38282),x38284)),f317(f126(x38281,x38282),f317(f317(f124(x38281),x38283),x38284))) % 169.26/169.08 [3840]E(f142(x38401,f317(f317(f144(x38402,x38401),x38403),f142(x38402,x38404))),f142(x38401,f317(f317(f144(x38402,x38401),x38403),x38404))) % 169.26/169.08 [3855]E(f317(f276(x38551,x38551),f317(f317(f278(x38552,x38551),x38553),x38554)),f317(f317(f278(x38552,x38551),f317(f276(x38552,x38552),x38553)),x38554)) % 169.26/169.08 [3867]E(f317(f317(f279(x38671,x38672,x38673),x38674),f178(f906(f905(x38672,x38673),a894))),f178(f906(f905(x38671,x38673),a894))) % 169.26/169.08 [3868]E(f317(f317(f165(x38681),f317(f317(f23(a897),x38682),x38683)),f317(f317(f128(x38681),x38683),x38684)),f317(f317(f128(x38681),x38683),f317(f317(f165(x38681),x38682),x38684))) % 169.26/169.08 [3887]E(f317(f317(f124(x38871),f159(x38871,x38872,x38873)),f159(x38871,x38874,x38873)),f159(x38871,f317(f317(f74(a897),x38872),x38874),x38873)) % 169.26/169.08 [3888]E(f317(f317(f317(f268(x38881),x38882),x38883),x38884),f317(f242(f906(a89,f906(a894,f901(f899(x38881)))),f905(a89,a89)),f317(f37(x38881),x38882))) % 169.26/169.08 [3914]E(f32(f906(x39141,a894),f317(f300(x39142,f906(x39141,a894),x39143),x39144)),f317(f317(f35(x39142,f906(x39141,a894)),x39144),x39143)) % 169.26/169.08 [3915]E(f31(f906(x39151,a894),f317(f300(x39152,f906(x39151,a894),x39153),x39154)),f317(f317(f34(x39152,f906(x39151,a894)),x39154),x39153)) % 169.26/169.08 [3916]E(f317(f179(f898(f905(x39161,x39162))),f317(f317(f171(x39161,x39162),x39163),x39164)),f317(f317(f228(a897),f317(f179(f898(x39161)),x39163)),f317(f179(f898(x39162)),x39164))) % 169.26/169.08 [3918]E(f317(f301(x39181,x39182,x39183),f317(f73(f906(x39182,a894)),x39184)),f317(f73(f906(x39181,a894)),f317(f301(x39181,x39182,x39183),x39184))) % 169.26/169.08 [3967]E(f317(f301(x39671,x39672,x39673),f317(f252(x39672),x39674)),f317(f252(x39671),f317(f317(f8(x39672,a894,x39671),x39674),x39673))) % 169.26/169.08 [3985]E(f317(f317(f154(x39851),f317(f317(f124(x39851),x39852),f317(f317(f141(x39851),x39853),x39854))),f317(f179(f898(x39851)),x39852)),x39853) % 169.26/169.08 [4007]E(f317(f300(x40071,x40072,x40073),f317(f301(x40071,x40072,x40073),x40074)),f317(f317(f92(f906(x40072,a894)),x40074),f317(f300(x40071,x40072,x40073),f232(f906(x40071,a894))))) % 169.26/169.08 [4026]P1(f317(f317(f319(x40261),f317(x40262,x40263)),f317(f300(x40264,x40261,x40262),f232(f906(x40264,a894))))) % 169.26/169.08 [4035]E(f19(x40351,x40352,x40353,f317(a3,f317(a102,f317(a20,x40354)))),f317(f317(x40353,x40354),f19(x40351,x40352,x40353,x40354))) % 169.26/169.08 [4039]E(f317(f317(f124(x40391),f159(x40391,x40392,x40393)),f317(f317(f141(x40391),x40393),x40394)),f317(f317(f141(x40391),x40393),f317(f317(f124(x40391),f159(x40391,x40392,x40393)),x40394))) % 169.26/169.08 [4041]E(f317(f317(f244(x40411,x40412),f317(f162(x40411),x40413)),f317(f16(f906(x40412,a894),x40411),f317(f162(x40412),x40414))),f317(f162(f905(x40411,x40412)),f54(x40411,x40412,x40413,x40414))) % 169.26/169.08 [4053]E(f145(x40531,x40532,f317(f317(f141(x40531),x40533),x40534)),f317(f317(f74(a897),f317(f317(f74(a897),f317(x40532,x40533)),f145(x40531,x40532,x40534))),f317(a102,f2(a897)))) % 169.26/169.08 [4066]E(f175(f898(x40661),f317(f317(f141(x40661),x40662),x40663),f317(f317(f7(a897,f898(x40661),f898(x40661)),f128(x40661)),x40663),x40664),f317(f317(f128(x40661),x40664),f317(f317(f141(x40661),x40662),x40663))) % 169.26/169.08 [4067]P27(x40671,f905(x40672,x40671),f321(x40673,x40674,x40672,x40671),f317(f317(f34(x40672,f906(x40671,a894)),x40674),x40673)) % 169.26/169.08 [4076]E(f317(f317(f23(f906(x40761,a894)),f317(f317(f23(f906(x40761,a894)),x40762),x40763)),f317(f317(f299(x40761),x40764),f178(f906(x40761,a894)))),f317(f317(f23(f906(x40761,a894)),x40762),f317(f317(f299(x40761),x40764),x40763))) % 169.26/169.08 [4089]E(f317(f317(f173(f906(x40891,x40892),f906(x40891,x40892)),x40893),f67(x40892,x40892,x40891,x40894)),f67(x40892,x40892,x40891,f317(f317(f173(x40892,x40892),x40893),x40894))) % 169.26/169.08 [4160]E(f317(f317(f317(f173(f898(x41601),f898(x41601)),x41602),f157(x41601)),f317(f317(f317(f173(f898(x41601),f898(x41601)),x41603),f157(x41601)),x41604)),f317(f317(f317(f173(f898(x41601),f898(x41601)),f317(f317(f74(a897),x41602),x41603)),f157(x41601)),x41604)) % 169.26/169.08 [4245]P1(f317(f317(f224(f906(x42451,a894)),f317(f162(x42451),f317(f317(f149(x42451,x42452),x42453),x42454))),f317(f317(f299(x42451),x42454),f317(f162(x42451),x42452)))) % 169.26/169.08 [4277]E(f317(f317(f34(f906(x42771,a894),f906(f905(x42771,x42772),a894)),x42773),f317(f317(f7(f906(x42771,a894),f906(x42771,f906(x42772,a894)),f906(f905(x42771,x42772),a894)),f244(x42771,x42772)),x42774)),f317(f317(f244(x42771,x42772),f31(f906(x42771,a894),x42773)),x42774)) % 169.26/169.08 [4315]E(f199(x43151,x43152,x43153,f317(f67(x43152,f906(a89,f906(a89,f906(f905(a89,a89),f906(a89,f899(x43152))))),x43151,f198(x43152)),x43154)),f200(x43151,x43152,x43154,x43153)) % 169.26/169.08 [4330]E(f195(x43301,x43302,x43303,f317(f67(x43302,f906(a89,f906(a89,f906(f905(a89,a89),f906(a89,f899(f901(x43302)))))),x43301,f194(x43302)),x43304)),f196(x43301,x43302,x43304,x43303)) % 169.26/169.08 [4335]P1(f317(f60(x43351,x43352,x43353,x43354,f178(f906(x43351,a894))),x43354)) % 169.26/169.08 [4374]E(f317(f317(f34(x43741,f906(x43742,a894)),x43743),f317(f317(f7(x43741,f906(x43742,a894),f906(x43742,a894)),f317(f317(f8(x43742,f906(f906(x43742,a894),f906(x43742,a894)),x43741),f299(x43742)),x43744)),f178(f906(x43742,a894)))),f317(f300(x43741,x43742,x43744),x43743)) % 169.26/169.08 [4381]P1(f317(f317(f224(f906(x43811,a894)),f317(f274(x43812,x43811),f317(f317(f92(f906(f905(x43812,x43811),a894)),x43813),x43814))),f317(f317(f92(f906(x43811,a894)),f317(f274(x43812,x43811),x43813)),f317(f274(x43812,x43811),x43814)))) % 169.26/169.08 [4382]P1(f317(f317(f224(f906(x43821,a894)),f317(f254(x43821,x43822),f317(f317(f92(f906(f905(x43821,x43822),a894)),x43823),x43824))),f317(f317(f92(f906(x43821,a894)),f317(f254(x43821,x43822),x43823)),f317(f254(x43821,x43822),x43824)))) % 169.26/169.08 [4442]P1(f317(f317(f224(f906(f905(x44421,x44422),a894)),f317(f300(x44422,f905(x44421,x44422),f321(x44423,x44424,x44421,x44422)),f317(f317(f34(x44421,f906(x44422,a894)),x44424),x44423))),f317(f317(f244(x44421,x44422),x44424),x44423))) % 169.26/169.08 [4443]E(f317(f108(x44431,f905(x44431,x44432),x44433),f317(f317(f8(f906(x44432,f899(f905(x44431,x44432))),f899(f905(x44431,x44432)),x44431),f108(x44432,f905(x44431,x44432),x44434)),f317(f317(f8(f906(x44432,f905(x44431,x44432)),f906(x44432,f899(f905(x44431,x44432))),x44431),f317(f8(f905(x44431,x44432),f899(f905(x44431,x44432)),x44432),f119(f905(x44431,x44432)))),f242(x44431,x44432)))),f121(x44431,x44432,x44433,x44434)) % 169.26/169.08 [4444]E(f266(x44441,x44442,x44443,f317(f67(x44442,f906(a89,f906(a89,f906(f905(a89,a89),f905(f906(a89,f906(a894,f901(f899(x44442)))),f905(a89,a89))))),x44441,f268(x44442)),x44444)),f269(x44441,x44442,x44444,x44443)) % 169.26/169.08 [4484]E(f79(f905(x44841,x44842),f317(f247(x44841,x44842,a894),f317(f317(f7(x44841,f906(x44842,a894),f906(x44842,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x44842,a894),f906(x44842,a894)),x44841),f8(a894,a894,x44842)),f317(f317(f8(a894,f906(a894,a894),x44841),a315),f317(a314,x44843)))),f317(a314,x44844)))),f317(f317(f242(x44841,x44842),x44843),x44844)) % 169.26/169.08 [4485]E(f84(f905(x44851,x44852),f317(f247(x44851,x44852,a894),f317(f317(f7(x44851,f906(x44852,a894),f906(x44852,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x44852,a894),f906(x44852,a894)),x44851),f8(a894,a894,x44852)),f317(f317(f8(a894,f906(a894,a894),x44851),a315),f317(a314,x44853)))),f317(a314,x44854)))),f317(f317(f242(x44851,x44852),x44853),x44854)) % 169.26/169.08 [4556]E(f317(f317(f247(f898(x45561),f898(x45561),f905(f898(x45561),f898(x45561))),f317(f317(f18(f898(x45561),f906(f898(x45561),f905(f898(x45561),f898(x45561))),f906(f898(x45561),f905(f898(x45561),f898(x45561)))),f317(f317(f8(f906(f898(x45561),f906(f905(f898(x45561),f898(x45561)),f905(f898(x45561),f898(x45561)))),f906(f906(f898(x45561),f905(f898(x45561),f898(x45561))),f906(f898(x45561),f905(f898(x45561),f898(x45561)))),f898(x45561)),f18(f898(x45561),f905(f898(x45561),f898(x45561)),f905(f898(x45561),f898(x45561)))),f317(f317(f8(f906(f898(x45561),f905(f898(x45561),f898(x45561))),f906(f898(x45561),f906(f905(f898(x45561),f898(x45561)),f905(f898(x45561),f898(x45561)))),f898(x45561)),f317(f8(f905(f898(x45561),f898(x45561)),f906(f905(f898(x45561),f898(x45561)),f905(f898(x45561),f898(x45561))),f898(x45561)),f317(f86(f905(f898(x45561),f898(x45561))),f317(x45562,x45563)))),f317(f317(f8(f898(x45561),f906(f898(x45561),f905(f898(x45561),f898(x45561))),f898(x45561)),f242(f898(x45561),f898(x45561))),f317(f141(x45561),x45563))))),f317(f317(f7(f898(x45561),f906(f898(x45561),f898(x45561)),f906(f898(x45561),f905(f898(x45561),f898(x45561)))),f317(f317(f8(f906(f898(x45561),f905(f898(x45561),f898(x45561))),f906(f906(f898(x45561),f898(x45561)),f906(f898(x45561),f905(f898(x45561),f898(x45561)))),f898(x45561)),f8(f898(x45561),f905(f898(x45561),f898(x45561)),f898(x45561))),f242(f898(x45561),f898(x45561)))),f317(f141(x45561),x45563)))),f156(x45561,x45562,x45564)),f156(x45561,x45562,f317(f317(f141(x45561),x45563),x45564))) % 169.26/169.08 [3804]E(f317(f317(f165(x38041),x38042),f317(f317(f165(x38041),x38043),x38044)),f317(f317(f165(x38041),f317(f317(f228(a897),x38042),x38043)),x38044)) % 169.26/169.08 [3805]E(f317(f317(f128(x38051),x38052),f317(f317(f128(x38051),x38053),x38054)),f317(f317(f128(x38051),f317(f317(f74(a897),x38052),x38053)),x38054)) % 169.26/169.08 [3816]E(f317(f317(f124(x38161),f317(f317(f141(x38161),x38162),x38163)),x38164),f317(f317(f141(x38161),x38162),f317(f317(f124(x38161),x38163),x38164))) % 169.26/169.08 [3817]E(f317(f317(f124(x38171),f317(f317(f124(x38171),x38172),x38173)),x38174),f317(f317(f124(x38171),x38172),f317(f317(f124(x38171),x38173),x38174))) % 169.26/169.08 [3898]E(f317(f317(f154(x38981),f317(f317(f141(x38981),x38982),x38983)),x38984),f175(x38981,x38982,f317(f154(x38981),x38983),x38984)) % 169.26/169.08 [3907]E(f317(f317(f173(x39071,x39071),x39072),f317(f317(f173(x39071,x39071),x39073),x39074)),f317(f317(f173(x39071,x39071),f317(f317(f75(a897),x39073),x39072)),x39074)) % 169.26/169.08 [3934]E(f317(f317(f91(f906(x39341,a894)),x39342),f317(f317(f299(x39341),x39343),x39344)),f317(f317(f299(x39341),x39343),f317(f317(f91(f906(x39341,a894)),x39342),x39344))) % 169.26/169.08 [3949]E(f317(f317(f317(f173(x39491,x39491),x39492),x39493),f317(x39493,x39494)),f317(x39493,f317(f317(f317(f173(x39491,x39491),x39492),x39493),x39494))) % 169.26/169.08 [3958]E(f317(f317(f279(x39581,x39582,x39583),f178(f906(f905(x39581,x39582),a894))),x39584),f178(f906(f905(x39581,x39583),a894))) % 169.26/169.08 [3972]E(f317(f317(f91(f906(x39721,a894)),f317(f317(f299(x39721),x39722),x39723)),x39724),f317(f317(f299(x39721),x39722),f317(f317(f91(f906(x39721,a894)),x39723),x39724))) % 169.26/169.08 [3992]E(f317(f29(f905(x39921,x39922)),f317(f317(f244(x39921,x39922),x39923),f317(f16(f906(x39922,a894),x39921),x39924))),f317(f317(f75(a897),f317(f29(x39921),x39923)),f317(f29(x39922),x39924))) % 169.26/169.08 [3998]E(f317(f317(f92(f906(x39981,a894)),f317(f317(f299(x39981),x39982),x39983)),f317(f317(f299(x39981),x39982),x39984)),f317(f317(f299(x39981),x39982),f317(f317(f92(f906(x39981,a894)),x39983),x39984))) % 169.26/169.08 [4011]E(f317(f317(f91(f906(x40111,a894)),x40112),f317(f317(f91(f906(x40111,a894)),x40113),x40114)),f317(f317(f91(f906(x40111,a894)),x40113),f317(f317(f91(f906(x40111,a894)),x40112),x40114))) % 169.26/169.08 [4012]E(f317(f317(f92(f906(x40121,a894)),x40122),f317(f317(f92(f906(x40121,a894)),x40123),x40124)),f317(f317(f92(f906(x40121,a894)),x40123),f317(f317(f92(f906(x40121,a894)),x40122),x40124))) % 169.26/169.08 [4022]E(f58(x40221,x40222,f317(f317(f8(x40222,f906(x40222,x40222),x40221),x40223),x40224)),f317(f59(x40222,x40221,x40223),x40224)) % 169.26/169.08 [4031]E(f169(x40311,f317(f317(f144(f898(x40312),f898(x40311)),f317(f144(x40312,x40311),x40313)),x40314)),f317(f317(f144(f898(x40312),f898(x40311)),f317(f144(x40312,x40311),x40313)),f169(x40312,x40314))) % 169.26/169.08 [4050]E(f317(f132(f898(x40501),f898(x40501),f124(x40501),f103(x40501)),f317(f317(f144(x40502,f898(x40501)),x40503),x40504)),f153(x40502,x40501,x40503,x40504)) % 169.26/169.08 [4107]E(f317(f67(x41071,x41071,x41071,f317(f317(f173(x41071,x41071),x41072),x41073)),f317(f317(f173(x41071,x41071),x41074),x41073)),f317(f317(f173(x41071,x41071),f317(f317(f74(a897),x41072),x41074)),x41073)) % 169.26/169.08 [4130]E(f317(f317(f92(f906(x41301,a894)),f317(f317(f23(f906(x41301,a894)),x41302),x41303)),f317(f317(f23(f906(x41301,a894)),x41302),x41304)),f317(f317(f23(f906(x41301,a894)),x41302),f317(f317(f91(f906(x41301,a894)),x41303),x41304))) % 169.26/169.08 [4131]E(f317(f317(f91(f906(x41311,a894)),f317(f317(f23(f906(x41311,a894)),x41312),x41313)),f317(f317(f23(f906(x41311,a894)),x41312),x41314)),f317(f317(f23(f906(x41311,a894)),x41312),f317(f317(f92(f906(x41311,a894)),x41313),x41314))) % 169.26/169.08 [4132]E(f317(f317(f92(f906(x41321,a894)),f317(f317(f91(f906(x41321,a894)),x41322),x41323)),f317(f317(f91(f906(x41321,a894)),x41322),x41324)),f317(f317(f91(f906(x41321,a894)),x41322),f317(f317(f92(f906(x41321,a894)),x41323),x41324))) % 169.26/169.08 [4133]E(f317(f317(f23(f906(x41331,a894)),f317(f317(f92(f906(x41331,a894)),x41332),x41333)),f317(f317(f92(f906(x41331,a894)),x41332),x41334)),f317(f317(f92(f906(x41331,a894)),x41332),f317(f317(f23(f906(x41331,a894)),x41333),x41334))) % 169.26/169.08 [4134]E(f317(f317(f91(f906(x41341,a894)),f317(f317(f92(f906(x41341,a894)),x41342),x41343)),f317(f317(f92(f906(x41341,a894)),x41342),x41344)),f317(f317(f92(f906(x41341,a894)),x41342),f317(f317(f91(f906(x41341,a894)),x41343),x41344))) % 169.26/169.08 [4139]E(f317(f29(f905(x41391,x41392)),f317(f317(f244(x41391,x41392),f317(f317(f299(x41391),x41393),f178(f906(x41391,a894)))),f317(f16(f906(x41392,a894),x41391),x41394))),f317(f29(x41392),x41394)) % 169.26/169.08 [4174]E(f317(f317(f35(x41741,f906(x41742,a894)),x41743),f317(f317(f8(f906(x41742,a894),f906(x41742,a894),x41741),f73(f906(x41742,a894))),x41744)),f317(f73(f906(x41742,a894)),f317(f317(f34(x41741,f906(x41742,a894)),x41743),x41744))) % 169.26/169.08 [4175]E(f317(f317(f34(x41751,f906(x41752,a894)),x41753),f317(f317(f8(f906(x41752,a894),f906(x41752,a894),x41751),f73(f906(x41752,a894))),x41754)),f317(f73(f906(x41752,a894)),f317(f317(f35(x41751,f906(x41752,a894)),x41753),x41754))) % 169.26/169.08 [4191]E(f317(f317(f279(x41911,x41911,x41911),f317(f317(f173(f905(x41911,x41911),a894),x41912),x41913)),f317(f317(f173(f905(x41911,x41911),a894),x41914),x41913)),f317(f317(f173(f905(x41911,x41911),a894),f317(f317(f74(a897),x41912),x41914)),x41913)) % 169.26/169.08 [4221]E(f317(f317(f35(x42211,f906(f906(x42212,a894),a894)),x42213),f317(f317(f8(f906(x42212,a894),f906(f906(x42212,a894),a894),x42211),f298(x42212)),x42214)),f317(f298(x42212),f317(f317(f35(x42211,f906(x42212,a894)),x42213),x42214))) % 169.26/169.08 [4250]E(f317(f317(f34(f906(x42501,a894),f906(x42502,a894)),x42503),f317(f317(f7(f906(x42501,a894),f906(x42501,f906(x42502,a894)),f906(x42502,a894)),f34(x42501,f906(x42502,a894))),x42504)),f317(f317(f34(x42501,f906(x42502,a894)),f31(f906(x42501,a894),x42503)),x42504)) % 169.26/169.08 [4251]E(f317(f317(f35(f906(x42511,a894),f906(x42512,a894)),x42513),f317(f317(f7(f906(x42511,a894),f906(x42511,f906(x42512,a894)),f906(x42512,a894)),f35(x42511,f906(x42512,a894))),x42514)),f317(f317(f35(x42511,f906(x42512,a894)),f31(f906(x42511,a894),x42513)),x42514)) % 169.26/169.08 [4256]E(f317(f317(f144(x42561,x42562),x42563),f317(f132(f898(x42561),f898(x42561),f124(x42561),f103(x42561)),x42564)),f317(f132(f898(x42562),f898(x42562),f124(x42562),f103(x42562)),f317(f317(f144(f898(x42561),f898(x42562)),f317(f144(x42561,x42562),x42563)),x42564))) % 169.26/169.08 [4258]E(f175(f898(x42581),f103(x42581),f317(f317(f8(f898(x42581),f898(x42581),a897),f317(f141(x42581),x42582)),f317(f317(f7(a897,f898(x42581),f898(x42581)),f165(x42581)),x42583)),x42584),f317(f317(f165(x42581),x42584),f317(f317(f141(x42581),x42582),x42583))) % 169.26/169.08 [4296]P1(f317(f317(f224(f906(x42961,a894)),f317(f300(x42962,x42961,x42963),f317(f301(x42962,x42961,x42963),x42964))),x42964)) % 169.26/169.08 [4298]E(f317(f300(f905(x42981,x42982),f905(x42982,x42981),f317(f247(x42981,x42982,f905(x42982,x42981)),f317(f7(x42982,x42981,f905(x42982,x42981)),f242(x42982,x42981)))),f317(f317(f244(x42981,x42982),x42983),f317(f16(f906(x42982,a894),x42981),x42984))),f317(f317(f244(x42982,x42981),x42984),f317(f16(f906(x42981,a894),x42982),x42983))) % 169.26/169.08 [4307]E(f317(f317(f34(x43071,f906(x43072,a894)),x43073),f317(f317(f8(f906(x43071,a894),f906(x43072,a894),x43071),f275(x43071,x43072,x43074)),f317(f317(f7(x43071,f906(x43071,a894),f906(x43071,a894)),f299(x43071)),f178(f906(x43071,a894))))),f317(f275(x43071,x43072,x43074),x43073)) % 169.26/169.08 [4308]E(f317(f317(f34(x43081,f906(x43082,a894)),x43083),f317(f317(f8(f906(x43081,a894),f906(x43082,a894),x43081),f301(x43082,x43081,x43084)),f317(f317(f7(x43081,f906(x43081,a894),f906(x43081,a894)),f299(x43081)),f178(f906(x43081,a894))))),f317(f301(x43082,x43081,x43084),x43083)) % 169.26/169.08 [4395]E(f317(f317(f92(f906(x43951,a894)),f317(f317(f92(f906(x43951,a894)),f317(f317(f91(f906(x43951,a894)),x43952),x43953)),f317(f317(f91(f906(x43951,a894)),x43953),x43954))),f317(f317(f91(f906(x43951,a894)),x43954),x43952)),f317(f317(f91(f906(x43951,a894)),f317(f317(f91(f906(x43951,a894)),f317(f317(f92(f906(x43951,a894)),x43952),x43953)),f317(f317(f92(f906(x43951,a894)),x43953),x43954))),f317(f317(f92(f906(x43951,a894)),x43954),x43952))) % 169.26/169.08 [4458]E(f317(f132(f898(x44581),f898(x44581),f124(x44581),f103(x44581)),f317(f317(f144(x44582,f898(x44581)),f317(f317(f7(x44582,f898(x44581),f898(x44581)),f317(f317(f8(x44581,f906(f898(x44581),f898(x44581)),x44582),f141(x44581)),x44583)),f103(x44581))),x44584)),f317(f317(f144(x44582,x44581),x44583),x44584)) % 169.26/169.08 [4468]E(f317(f317(f80(a1,x44681),f317(f94(a1),f317(f317(f74(a1),x44682),a87))),f317(f317(f18(a1,x44681,x44681),f317(f317(f7(a1,x44681,f906(x44681,x44681)),f317(f317(f8(a894,f906(x44681,f906(x44681,x44681)),a1),f86(x44681)),a183)),x44683)),f317(f317(f8(a897,x44681,a1),x44684),a95))),f175(x44681,x44683,x44684,f317(f94(a897),x44682))) % 169.26/169.08 [4499]E(f317(f252(x44991),f317(f317(f8(f906(x44992,a894),a894,x44991),f81(x44992)),f317(f317(f8(f906(x44992,a894),f906(x44992,a894),x44991),f317(f18(x44992,a894,a894),f317(f317(f8(a894,f906(a894,a894),x44992),a315),f317(f317(f7(x44992,f906(x44992,a894),a894),f319(x44992)),x44993)))),f317(f7(x44992,x44991,a894),x44994)))),f317(f275(x44992,x44991,f317(f252(f905(x44992,x44991)),f317(f247(x44992,x44991,a894),x44994))),x44993)) % 169.26/169.08 [4634]~P1(f317(f317(f178(f906(x46341,f906(x46342,a894))),x46343),x46344)) % 169.26/169.08 [3961]E(f317(f317(f154(x39611),f317(f317(f124(x39611),x39612),x39613)),f317(f317(f74(a897),f317(f179(f898(x39611)),x39612)),x39614)),f317(f317(f154(x39611),x39613),x39614)) % 169.26/169.08 [3966]E(f317(f317(f128(x39661),x39662),f317(f317(f165(x39661),f317(f317(f74(a897),x39663),x39662)),x39664)),f317(f317(f165(x39661),x39663),f317(f317(f128(x39661),x39662),x39664))) % 169.26/169.08 [4064]E(f317(f317(f91(f906(x40641,a894)),f317(f274(x40642,x40641),x40643)),f317(f274(x40642,x40641),x40644)),f317(f274(x40642,x40641),f317(f317(f91(f906(f905(x40642,x40641),a894)),x40643),x40644))) % 169.26/169.08 [4065]E(f317(f317(f91(f906(x40651,a894)),f317(f254(x40651,x40652),x40653)),f317(f254(x40651,x40652),x40654)),f317(f254(x40651,x40652),f317(f317(f91(f906(f905(x40651,x40652),a894)),x40653),x40654))) % 169.26/169.08 [4070]E(f317(f317(f23(f906(x40701,a894)),f317(f317(f92(f906(x40701,a894)),x40702),x40703)),x40704),f317(f317(f92(f906(x40701,a894)),x40702),f317(f317(f23(f906(x40701,a894)),x40703),x40704))) % 169.26/169.08 [4071]E(f317(f317(f91(f906(x40711,a894)),f317(f317(f91(f906(x40711,a894)),x40712),x40713)),x40714),f317(f317(f91(f906(x40711,a894)),x40712),f317(f317(f91(f906(x40711,a894)),x40713),x40714))) % 169.26/169.08 [4072]E(f317(f317(f92(f906(x40721,a894)),f317(f317(f92(f906(x40721,a894)),x40722),x40723)),x40724),f317(f317(f92(f906(x40721,a894)),x40722),f317(f317(f92(f906(x40721,a894)),x40723),x40724))) % 169.26/169.08 [4109]E(f317(f317(f91(f906(f905(x41091,x41092),a894)),f317(f276(x41092,x41091),x41093)),f317(f276(x41092,x41091),x41094)),f317(f276(x41092,x41091),f317(f317(f91(f906(f905(x41092,x41091),a894)),x41093),x41094))) % 169.26/169.08 [4110]E(f317(f317(f92(f906(f905(x41101,x41102),a894)),f317(f276(x41102,x41101),x41103)),f317(f276(x41102,x41101),x41104)),f317(f276(x41102,x41101),f317(f317(f92(f906(f905(x41102,x41101),a894)),x41103),x41104))) % 169.26/169.08 [4123]E(f317(f317(f91(f906(x41231,f906(x41232,a894))),f233(x41232,x41231,x41233)),f233(x41232,x41231,x41234)),f233(x41232,x41231,f317(f317(f91(f906(x41232,f906(x41231,a894))),x41233),x41234))) % 169.26/169.08 [4124]E(f317(f317(f92(f906(x41241,f906(x41242,a894))),f233(x41242,x41241,x41243)),f233(x41242,x41241,x41244)),f233(x41242,x41241,f317(f317(f92(f906(x41242,f906(x41241,a894))),x41243),x41244))) % 169.26/169.08 [4178]E(f317(f317(f91(f906(x41781,a894)),f317(f317(f23(f906(x41781,a894)),x41782),x41783)),f317(f317(f23(f906(x41781,a894)),x41784),x41783)),f317(f317(f23(f906(x41781,a894)),f317(f317(f91(f906(x41781,a894)),x41782),x41784)),x41783)) % 169.26/169.08 [4179]E(f317(f317(f92(f906(x41791,a894)),f317(f317(f91(f906(x41791,a894)),x41792),x41793)),f317(f317(f91(f906(x41791,a894)),x41794),x41793)),f317(f317(f91(f906(x41791,a894)),f317(f317(f92(f906(x41791,a894)),x41792),x41794)),x41793)) % 169.26/169.08 [4180]E(f317(f317(f23(f906(x41801,a894)),f317(f317(f92(f906(x41801,a894)),x41802),x41803)),f317(f317(f92(f906(x41801,a894)),x41804),x41803)),f317(f317(f92(f906(x41801,a894)),f317(f317(f23(f906(x41801,a894)),x41802),x41804)),x41803)) % 169.26/169.08 [4181]E(f317(f317(f91(f906(x41811,a894)),f317(f317(f92(f906(x41811,a894)),x41812),x41813)),f317(f317(f92(f906(x41811,a894)),x41814),x41813)),f317(f317(f92(f906(x41811,a894)),f317(f317(f91(f906(x41811,a894)),x41812),x41814)),x41813)) % 169.26/169.08 [4182]E(f317(f317(f23(f906(x41821,a894)),f317(f317(f92(f906(x41821,a894)),x41822),x41823)),f317(f317(f92(f906(x41821,a894)),x41824),x41823)),f317(f317(f23(f906(x41821,a894)),f317(f317(f92(f906(x41821,a894)),x41822),x41823)),x41824)) % 169.26/169.08 [4194]E(f317(f317(f23(f906(x41941,a894)),f317(f317(f23(f906(x41941,a894)),x41942),f317(f317(f299(x41941),x41943),f178(f906(x41941,a894))))),x41944),f317(f317(f23(f906(x41941,a894)),x41942),f317(f317(f299(x41941),x41943),x41944))) % 169.26/169.08 [4247]E(f317(f317(f91(f906(x42471,a894)),f317(f317(f299(x42471),x42472),f317(f317(f299(x42471),x42473),f178(f906(x42471,a894))))),f317(f271(x42471),x42474)),f317(f271(x42471),f317(f317(f299(f905(x42471,x42471)),f317(f317(f242(x42471,x42471),x42472),x42473)),x42474))) % 169.26/169.08 [4272]E(f317(f317(f34(a897,f906(x42721,a894)),f317(f291(a897),x42722)),f317(f317(f8(a897,f906(x42721,a894),a897),x42723),f317(f317(f7(a897,a897,a897),f74(a897)),x42724))),f317(f317(f34(a897,f906(x42721,a894)),f293(a897,x42724,f317(f317(f74(a897),x42722),x42724))),x42723)) % 169.26/169.08 [4273]E(f164(x42731,f317(f275(x42731,x42731,x42732),f317(f317(f299(x42731),x42733),f178(f906(x42731,a894)))),f317(f275(f898(x42731),f898(x42731),f148(x42731,x42732)),f317(f317(f299(f898(x42731)),x42734),f178(f906(f898(x42731),a894))))),f317(f275(f898(x42731),f898(x42731),f148(x42731,x42732)),f317(f317(f299(f898(x42731)),f317(f317(f141(x42731),x42733),x42734)),f178(f906(f898(x42731),a894))))) % 169.26/169.08 [4337]E(f317(f252(x43371),f317(f317(f7(x43371,f906(x43372,a894),a894),f317(f317(f8(x43372,f906(f906(x43372,a894),a894),x43371),f319(x43372)),x43373)),x43374)),f317(f301(x43371,x43372,x43373),x43374)) % 169.26/169.08 [4427]E(f317(f252(x44271),f317(f317(f7(x44271,f906(f905(x44272,x44271),a894),a894),f317(f317(f8(f905(x44272,x44271),f906(f906(f905(x44272,x44271),a894),a894),x44271),f319(f905(x44272,x44271))),f317(f242(x44272,x44271),x44273))),x44274)),f317(f275(x44272,x44271,x44274),f317(f317(f299(x44272),x44273),f178(f906(x44272,a894))))) % 169.26/169.08 [4441]E(f317(f317(f144(f905(x44411,a897),x44411),f241(x44411,a897)),f317(f126(f905(x44411,a897),f317(f317(f8(a897,a894,f905(x44411,a897)),x44412),f317(f317(f8(a897,a897,f905(x44411,a897)),a102),f246(x44411,a897)))),f317(f317(f171(x44411,a897),x44413),x44414))),f317(f317(f144(f905(x44411,a897),x44411),f241(x44411,a897)),f317(f126(f905(x44411,a897),f317(f317(f8(a897,a894,f905(x44411,a897)),x44412),f246(x44411,a897))),f317(f317(f171(x44411,a897),x44413),f317(f317(f144(a897,a897),a102),x44414))))) % 169.26/169.08 [4450]P1(f317(f317(f224(f906(f906(x44501,a894),a894)),f317(f317(f34(x44502,f906(f906(x44501,a894),a894)),x44503),f317(f317(f8(f906(x44501,a894),f906(f906(x44501,a894),a894),x44502),f298(x44501)),x44504))),f317(f298(x44501),f317(f317(f34(x44502,f906(x44501,a894)),x44503),x44504)))) % 169.26/169.08 [4491]E(f317(f317(f80(a1,x44911),f317(f94(a1),f317(f317(f74(a1),x44912),a87))),f317(f317(f18(a1,x44911,x44911),f317(f317(f7(a1,x44911,f906(x44911,x44911)),f317(f317(f8(a894,f906(x44911,f906(x44911,x44911)),a1),f86(x44911)),a183)),x44913)),f317(f317(f18(a1,x44911,x44911),f317(f317(f8(a897,f906(x44911,x44911),a1),x44914),a95)),f317(f317(f8(a897,x44911,a1),f174(x44911,x44913,x44914)),a95)))),f317(f174(x44911,x44913,x44914),f317(f94(a897),x44912))) % 169.26/169.08 [4515]E(f317(f252(f905(x45151,x45152)),f317(f247(x45151,x45152,a894),f317(f317(f7(x45151,f906(x45152,a894),f906(x45152,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x45152,a894),f906(x45152,a894)),x45151),f8(a894,a894,x45152)),f317(f317(f8(a894,f906(a894,a894),x45151),a315),f317(f317(f7(x45151,f906(x45151,a894),a894),f319(x45151)),x45153)))),f317(f317(f7(x45152,f906(x45152,a894),a894),f319(x45152)),x45154)))),f219(x45151,x45152,x45153,x45154)) % 169.26/169.08 [4551]E(f317(f317(f34(x45511,f906(f905(x45511,x45512),a894)),x45513),f317(f317(f18(x45511,f906(x45512,f906(f905(x45511,x45512),a894)),f906(f905(x45511,x45512),a894)),f317(f317(f8(f906(x45512,a894),f906(f906(x45512,f906(f905(x45511,x45512),a894)),f906(f905(x45511,x45512),a894)),x45511),f34(x45512,f906(f905(x45511,x45512),a894))),x45514)),f317(f317(f7(x45511,f906(f905(x45511,x45512),a894),f906(x45512,f906(f905(x45511,x45512),a894))),f317(f317(f8(f906(x45512,f906(f906(f905(x45511,x45512),a894),f906(f905(x45511,x45512),a894))),f906(f906(f905(x45511,x45512),a894),f906(x45512,f906(f905(x45511,x45512),a894))),x45511),f7(x45512,f906(f905(x45511,x45512),a894),f906(f905(x45511,x45512),a894))),f317(f317(f8(f906(x45512,f905(x45511,x45512)),f906(x45512,f906(f906(f905(x45511,x45512),a894),f906(f905(x45511,x45512),a894))),x45511),f317(f8(f905(x45511,x45512),f906(f906(f905(x45511,x45512),a894),f906(f905(x45511,x45512),a894)),x45512),f299(f905(x45511,x45512)))),f242(x45511,x45512)))),f178(f906(f905(x45511,x45512),a894))))),f317(f317(f244(x45511,x45512),x45513),x45514)) % 169.26/169.08 [4118]E(f317(f317(f124(x41181),f317(f317(f165(x41181),x41182),x41183)),f317(f317(f165(x41181),f317(f317(f23(a897),x41182),f317(f179(f898(x41181)),x41183))),x41184)),f317(f317(f165(x41181),x41182),f317(f317(f124(x41181),x41183),x41184))) % 169.26/169.08 [4119]E(f317(f317(f124(x41191),f317(f317(f128(x41191),x41192),x41193)),f317(f317(f128(x41191),f317(f317(f23(a897),x41192),f317(f179(f898(x41191)),x41193))),x41194)),f317(f317(f128(x41191),x41192),f317(f317(f124(x41191),x41193),x41194))) % 169.26/169.08 [4168]E(f317(f317(f74(a897),f317(f317(f75(a897),x41681),x41682)),f317(f317(f74(a897),f317(f317(f75(a897),x41683),x41682)),x41684)),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f74(a897),x41681),x41683)),x41682)),x41684)) % 169.26/169.08 [4313]E(f84(x43131,f317(f317(f7(x43131,x43132,a894),f317(f317(f8(x43132,f906(x43132,a894),x43131),a314),x43133)),x43134)),f317(f85(x43131,x43132,f232(f906(x43131,a894)),x43133),x43134)) % 169.26/169.08 [4361]P1(f317(f317(f224(f906(x43611,a894)),f317(f317(f23(f906(x43611,a894)),f317(f274(x43612,x43611),x43613)),f317(f274(x43612,x43611),x43614))),f317(f274(x43612,x43611),f317(f317(f23(f906(f905(x43612,x43611),a894)),x43613),x43614)))) % 169.26/169.08 [4362]P1(f317(f317(f224(f906(x43621,a894)),f317(f317(f23(f906(x43621,a894)),f317(f254(x43621,x43622),x43623)),f317(f254(x43621,x43622),x43624))),f317(f254(x43621,x43622),f317(f317(f23(f906(f905(x43621,x43622),a894)),x43623),x43624)))) % 169.26/169.08 [4470]E(f317(f317(f74(a1),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x44701),x44702)),f178(f906(f905(a897,a897),a894)))))),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x44703),x44704)),f178(f906(f905(a897,a897),a894)))))),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),f317(f317(f74(a897),x44701),x44703)),f317(f317(f74(a897),x44702),x44704))),f178(f906(f905(a897,a897),a894)))))) % 169.26/169.08 [4510]E(f317(f317(f75(a1),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x45101),x45102)),f178(f906(f905(a897,a897),a894)))))),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x45103),x45104)),f178(f906(f905(a897,a897),a894)))))),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),f317(f317(f74(a897),f317(f317(f75(a897),x45101),x45103)),f317(f317(f75(a897),x45102),x45104))),f317(f317(f74(a897),f317(f317(f75(a897),x45101),x45104)),f317(f317(f75(a897),x45102),x45103)))),f178(f906(f905(a897,a897),a894)))))) % 169.26/169.08 [4531]E(f317(f252(x45311),f317(f317(f8(f906(x45312,a894),a894,x45311),f82(x45312)),f317(f317(f8(f906(x45312,a894),f906(x45312,a894),x45311),f317(f18(x45312,a894,a894),f317(f317(f8(a894,f906(a894,a894),x45312),a320),f317(f317(f7(x45312,f906(x45312,a894),a894),f319(x45312)),x45313)))),f317(f317(f7(x45311,f906(x45312,f906(x45311,a894)),f906(x45312,a894)),f317(f317(f8(f906(f906(x45311,a894),a894),f906(f906(x45312,f906(x45311,a894)),f906(x45312,a894)),x45311),f8(f906(x45311,a894),a894,x45312)),f319(x45311))),x45314)))),f317(f317(f35(x45312,f906(x45311,a894)),x45313),x45314)) % 169.26/169.08 [4563]E(f317(f317(f279(x45631,x45631,x45631),f317(f317(f299(f905(x45631,x45631)),f317(f317(f242(x45631,x45631),x45632),x45633)),x45634)),f297(x45631,f317(f317(f299(f905(x45631,x45631)),f317(f317(f242(x45631,x45631),x45632),x45633)),x45634))),f317(f317(f91(f906(f905(x45631,x45631),a894)),f317(f317(f279(x45631,x45631,x45631),x45634),f297(x45631,x45634))),f317(f252(f905(x45631,x45631)),f317(f247(x45631,x45631,a894),f317(f317(f7(x45631,f906(x45631,a894),f906(x45631,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x45631,a894),f906(x45631,a894)),x45631),f8(a894,a894,x45631)),f317(f317(f8(a894,f906(a894,a894),x45631),a315),f317(f317(f7(x45631,f906(f905(x45631,x45631),a894),a894),f317(f317(f8(f905(x45631,x45631),f906(f906(f905(x45631,x45631),a894),a894),x45631),f319(f905(x45631,x45631))),f317(f317(f7(x45631,x45631,f905(x45631,x45631)),f242(x45631,x45631)),x45632))),f297(x45631,x45634))))),f317(f317(f7(x45631,f906(f905(x45631,x45631),a894),a894),f317(f317(f8(f905(x45631,x45631),f906(f906(f905(x45631,x45631),a894),a894),x45631),f319(f905(x45631,x45631))),f317(f242(x45631,x45631),x45633))),f297(x45631,x45634))))))) % 169.26/169.08 [4363]E(f317(f126(x43631,f317(f317(f18(x43631,a894,a894),f317(f317(f8(a894,f906(a894,a894),x43631),a315),x43632)),x43633)),x43634),f317(f126(x43631,x43633),f317(f126(x43631,x43632),x43634))) % 169.26/169.08 [4464]E(f317(f317(f124(x44641),f317(f317(f317(f86(f898(x44641)),f317(f317(f319(a897),f2(a897)),x44642)),f317(f317(f141(x44641),x44643),f103(x44641))),f103(x44641))),f166(x44641,x44644,f317(f252(a897),f317(f317(f7(a897,f906(a897,a894),a894),f317(f317(f8(a897,f906(f906(a897,a894),a894),a897),f319(a897)),a102)),x44642)))),f166(x44641,f317(f317(f141(x44641),x44643),x44644),x44642)) % 169.26/169.08 [4559]E(f317(f252(f905(x45591,x45592)),f317(f317(f8(f906(a897,a894),a894,f905(x45591,x45592)),f81(a897)),f317(f317(f7(f905(x45591,x45592),f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),f905(x45591,x45592)),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),f905(x45591,x45592)),f317(f8(a894,f906(a894,a894),a897),a315)),f317(f317(f7(f905(x45591,x45592),f906(a897,f905(x45591,x45592)),f906(a897,a894)),f317(f317(f8(f906(f905(x45591,x45592),a894),f906(f906(a897,f905(x45591,x45592)),f906(a897,a894)),f905(x45591,x45592)),f8(f905(x45591,x45592),a894,a897)),a314)),f317(f317(f18(a897,x45592,f905(x45591,x45592)),f317(f317(f8(x45591,f906(x45592,f905(x45591,x45592)),a897),f242(x45591,x45592)),f317(f154(x45591),x45593))),f317(f154(x45592),x45594)))))),f317(f317(f7(a897,a897,a894),f225(a897)),f317(f317(f228(a897),f317(f179(f898(x45591)),x45593)),f317(f179(f898(x45592)),x45594)))))),f317(f162(f905(x45591,x45592)),f317(f317(f171(x45591,x45592),x45593),x45594))) % 169.26/169.08 [4483]E(f317(f252(f905(x44831,x44832)),f317(f247(x44831,x44832,a894),f317(f317(f7(x44831,f906(x44832,a894),f906(x44832,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x44832,a894),f906(x44832,a894)),x44831),f8(a894,a894,x44832)),f317(f317(f8(a894,f906(a894,a894),x44831),a315),x44833))),x44834))),f317(f317(f244(x44831,x44832),f317(f252(x44831),x44833)),f317(f16(f906(x44832,a894),x44831),f317(f252(x44832),x44834)))) % 169.26/169.08 [4486]E(f317(f252(f905(x44861,x44862)),f317(f247(x44861,x44862,a894),f317(f317(f18(x44861,f906(x44862,a894),f906(x44862,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x44862,a894),f906(x44862,a894)),x44861),f8(a894,a894,x44862)),f317(f317(f8(a894,f906(a894,a894),x44861),a315),x44863))),x44864))),f317(f317(f244(x44861,x44862),f317(f252(x44861),x44863)),f317(f317(f8(f906(x44862,a894),f906(x44862,a894),x44861),f252(x44862)),x44864))) % 169.26/169.08 [4498]E(f317(f252(x44981),f317(f317(f8(f906(x44982,a894),a894,x44981),f82(x44982)),f317(f317(f8(f906(x44982,a894),f906(x44982,a894),x44981),f317(f18(x44982,a894,a894),f317(f317(f8(a894,f906(a894,a894),x44982),a320),f317(f317(f7(x44982,f906(x44982,a894),a894),f319(x44982)),x44983)))),x44984))),f317(f317(f35(x44982,f906(x44981,a894)),x44983),f317(f317(f8(f906(x44981,a894),f906(x44981,a894),x44982),f252(x44981)),f317(f7(x44981,x44982,a894),x44984)))) % 169.26/169.08 [4543]E(f317(f317(f144(f905(x45431,a897),x45431),f241(x45431,a897)),f317(f126(f905(x45431,a897),f317(f317(f7(f905(x45431,a897),f906(a897,a894),a894),f317(f317(f8(a897,f906(f906(a897,a894),a894),f905(x45431,a897)),f319(a897)),f246(x45431,a897))),x45432)),f317(f317(f171(x45431,a897),x45433),f129(a897,f317(f292(a897,x45434),f317(f317(f74(a897),x45434),f317(f179(f898(x45431)),x45433))))))),f317(f317(f144(f905(x45431,a897),x45431),f241(x45431,a897)),f317(f126(f905(x45431,a897),f317(f317(f7(f905(x45431,a897),f906(a897,a894),a894),f317(f317(f8(a897,f906(f906(a897,a894),a894),f905(x45431,a897)),f319(a897)),f317(f317(f7(f905(x45431,a897),a897,a897),f317(f317(f8(a897,f906(a897,a897),f905(x45431,a897)),f74(a897)),f246(x45431,a897))),x45434))),x45432)),f317(f317(f171(x45431,a897),x45433),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(x45431)),x45433))))))) % 169.26/169.08 [4544]E(f317(a102,f317(f317(f223(a897),f317(f179(f898(x45441)),x45442)),f317(f132(a897,f898(x45443),f317(f7(f898(x45443),a897,a897),f317(f317(f8(a897,f906(a897,a897),f898(x45443)),f223(a897)),f317(f317(f7(f898(x45443),a897,a897),f317(f317(f8(a897,f906(a897,a897),f898(x45443)),f23(a897)),f179(f898(x45443)))),f317(a102,f2(a897))))),f2(a897)),f317(f158(f898(x45443)),f317(f126(f898(x45443),f317(f317(f8(a894,a894,f898(x45443)),a312),f317(f317(f7(f898(x45443),f898(x45443),a894),a314),f103(x45443)))),x45444))))),f317(f317(f223(a897),f317(a102,f317(f179(f898(x45441)),x45442))),f317(f132(a897,f898(x45443),f317(f7(f898(x45443),a897,a897),f317(f317(f8(a897,f906(a897,a897),f898(x45443)),f223(a897)),f179(f898(x45443)))),f2(a897)),f317(f158(f898(x45443)),x45444)))) % 169.26/169.08 [4497]E(f317(f317(f124(x44971),f166(x44971,x44972,x44973)),f166(x44971,x44974,f317(f252(a897),f317(f317(f7(a897,f906(a897,a894),a894),f317(f317(f8(a897,f906(f906(a897,a894),a894),a897),f319(a897)),f317(f317(f7(a897,a897,a897),f74(a897)),f317(f179(f898(x44971)),x44972)))),x44973)))),f166(x44971,f317(f317(f124(x44971),x44972),x44974),x44973)) % 169.26/169.08 [4545]E(f31(f906(x45451,a894),f317(f252(f906(x45451,a894)),f317(f317(f8(f906(x45452,a894),a894,f906(x45451,a894)),f81(x45452)),f317(f317(f8(f906(x45452,a894),f906(x45452,a894),f906(x45451,a894)),f317(f18(x45452,a894,a894),f317(f317(f8(a894,f906(a894,a894),x45452),a315),f317(f317(f7(x45452,f906(x45452,a894),a894),f319(x45452)),x45453)))),f317(f317(f7(f906(x45451,a894),f906(x45452,f906(x45451,a894)),f906(x45452,a894)),f317(f317(f8(f906(f906(x45451,a894),a894),f906(f906(x45452,f906(x45451,a894)),f906(x45452,a894)),f906(x45451,a894)),f8(f906(x45451,a894),a894,x45452)),a314)),x45454))))),f317(f317(f34(x45452,f906(x45451,a894)),x45453),x45454)) % 169.26/169.08 [4546]E(f32(f906(x45461,a894),f317(f252(f906(x45461,a894)),f317(f317(f8(f906(x45462,a894),a894,f906(x45461,a894)),f81(x45462)),f317(f317(f8(f906(x45462,a894),f906(x45462,a894),f906(x45461,a894)),f317(f18(x45462,a894,a894),f317(f317(f8(a894,f906(a894,a894),x45462),a315),f317(f317(f7(x45462,f906(x45462,a894),a894),f319(x45462)),x45463)))),f317(f317(f7(f906(x45461,a894),f906(x45462,f906(x45461,a894)),f906(x45462,a894)),f317(f317(f8(f906(f906(x45461,a894),a894),f906(f906(x45462,f906(x45461,a894)),f906(x45462,a894)),f906(x45461,a894)),f8(f906(x45461,a894),a894,x45462)),a314)),x45464))))),f317(f317(f35(x45462,f906(x45461,a894)),x45463),x45464)) % 169.26/169.08 [4553]E(f317(f317(f141(f898(x45531)),f317(f317(f141(x45531),x45532),f317(f132(f898(x45531),f898(x45531),f124(x45531),f103(x45531)),f317(f317(f144(f898(x45531),f898(x45531)),f146(f898(x45531),x45531,f103(x45531),f317(f317(f8(f898(x45531),f906(f898(x45531),f898(x45531)),x45531),f16(f898(x45531),f898(x45531))),f317(f317(f7(x45531,f898(x45531),f898(x45531)),f141(x45531)),f103(x45531))))),x45533)))),f169(x45531,f317(f317(f141(f898(x45531)),x45534),f317(f132(f898(f898(x45531)),f898(f898(x45531)),f124(f898(x45531)),f103(f898(x45531))),f317(f317(f144(f898(x45531),f898(f898(x45531))),f146(f898(f898(x45531)),x45531,f103(f898(x45531)),f317(f16(f906(f898(x45531),f898(f898(x45531))),x45531),f317(f317(f7(f898(x45531),f898(f898(x45531)),f898(f898(x45531))),f141(f898(x45531))),f103(f898(x45531)))))),x45533))))),f169(x45531,f317(f317(f141(f898(x45531)),f317(f317(f141(x45531),x45532),x45534)),x45533))) % 169.26/169.08 [4560]E(f317(f252(f905(x45601,x45601)),f317(f247(x45601,x45601,a894),f317(f317(f7(x45601,f906(f905(x45602,x45602),a894),f906(x45601,a894)),f317(f317(f8(f906(x45601,f906(f906(f905(x45602,x45602),a894),a894)),f906(f906(f905(x45602,x45602),a894),f906(x45601,a894)),x45601),f7(x45601,f906(f905(x45602,x45602),a894),a894)),f317(f317(f8(f906(x45601,f905(x45602,x45602)),f906(x45601,f906(f906(f905(x45602,x45602),a894),a894)),x45601),f317(f8(f905(x45602,x45602),f906(f906(f905(x45602,x45602),a894),a894),x45601),f319(f905(x45602,x45602)))),f317(f317(f7(x45601,f906(x45601,x45602),f906(x45601,f905(x45602,x45602))),f317(f317(f8(f906(x45602,f905(x45602,x45602)),f906(f906(x45601,x45602),f906(x45601,f905(x45602,x45602))),x45601),f8(x45602,f905(x45602,x45602),x45601)),f317(f317(f8(x45602,f906(x45602,f905(x45602,x45602)),x45601),f242(x45602,x45602)),x45603))),x45603)))),x45604))),f317(f317(f278(x45602,x45601),x45604),x45603)) % 169.26/169.08 [3701]E(f317(f317(f144(x37011,x37012),x37013),f159(x37011,x37014,x37015)),f159(x37012,x37014,f317(x37013,x37015))) % 169.26/169.08 [4032]E(f120(x40321,x40322,x40323,f116(x40321,x40324,x40325)),f116(x40322,f317(x40323,x40324),f120(x40321,x40322,x40323,x40325))) % 169.26/169.08 [4262]E(f317(f69(x42621,x42622,x42623,x42624,x42625),x42624),x42625) % 169.26/169.08 [4314]E(f243(x43141,x43142,x43143,f233(x43142,x43141,x43144),f233(x43143,x43142,x43145)),f233(x43143,x43141,f243(x43143,x43142,x43141,x43145,x43144))) % 169.26/169.08 [3892]E(f317(f317(f247(x38921,x38922,x38923),x38924),x38925),f317(f317(x38924,f317(f241(x38921,x38922),x38925)),f317(f246(x38921,x38922),x38925))) % 169.26/169.08 [3926]E(f317(f317(f317(f59(x39261,x39262,x39263),x39264),x39265),f178(f906(x39262,a894))),x39265) % 169.26/169.08 [4202]E(f317(f67(f898(x42021),f898(x42022),f898(x42023),f317(f144(x42021,x42022),x42024)),f317(f144(x42023,x42021),x42025)),f317(f144(x42023,x42022),f317(f67(x42021,x42022,x42023,x42024),x42025))) % 169.26/169.08 [4276]E(f79(x42761,f60(x42762,x42761,x42763,x42764,x42765)),f317(f317(f58(x42762,x42761,x42763),x42764),x42765)) % 169.26/169.08 [4310]E(f317(f317(f74(a897),f317(f317(f74(a897),f317(x43101,f317(f241(x43102,x43103),x43104))),f317(x43105,f317(f246(x43102,x43103),x43104)))),f317(a102,f2(a897))),f251(x43102,x43103,x43101,x43105,x43104)) % 169.26/169.08 [3829]E(f317(f317(f165(x38291),x38292),f317(f317(f144(x38293,x38291),x38294),x38295)),f317(f317(f144(x38293,x38291),x38294),f317(f317(f165(x38293),x38292),x38295))) % 169.26/169.08 [3830]E(f317(f317(f128(x38301),x38302),f317(f317(f144(x38303,x38301),x38304),x38305)),f317(f317(f144(x38303,x38301),x38304),f317(f317(f128(x38303),x38302),x38305))) % 169.26/169.08 [3861]E(f317(f317(f144(x38611,x38612),x38613),f317(f317(f141(x38611),x38614),x38615)),f317(f317(f141(x38612),f317(x38613,x38614)),f317(f317(f144(x38611,x38612),x38613),x38615))) % 169.26/169.08 [3922]E(f317(f300(x39221,x39222,x39223),f317(f317(f299(x39221),x39224),x39225)),f317(f317(f299(x39222),f317(x39223,x39224)),f317(f300(x39221,x39222,x39223),x39225))) % 169.26/169.08 [3950]E(f163(x39501,f317(f317(f141(x39501),x39502),x39503),f317(f317(f141(x39501),x39504),x39505)),f317(f317(f141(x39501),x39502),f317(f317(f141(x39501),x39504),f163(x39501,x39503,x39505)))) % 169.26/169.08 [3987]E(f317(f317(f171(x39871,x39872),f317(f317(f165(x39871),x39873),x39874)),f317(f317(f165(x39872),x39873),x39875)),f317(f317(f165(f905(x39871,x39872)),x39873),f317(f317(f171(x39871,x39872),x39874),x39875))) % 169.26/169.08 [3988]E(f317(f317(f171(x39881,x39882),f317(f317(f128(x39881),x39883),x39884)),f317(f317(f128(x39882),x39883),x39885)),f317(f317(f128(f905(x39881,x39882)),x39883),f317(f317(f171(x39881,x39882),x39884),x39885))) % 169.26/169.08 [3997]E(f317(f317(f149(x39971,f317(f317(f141(x39971),x39972),x39973)),f317(a102,x39974)),x39975),f317(f317(f141(x39971),x39972),f317(f317(f149(x39971,x39973),x39974),x39975))) % 169.26/169.08 [4000]E(f317(f317(f124(x40001),f317(f317(f144(x40002,x40001),x40003),x40004)),f317(f317(f144(x40002,x40001),x40003),x40005)),f317(f317(f144(x40002,x40001),x40003),f317(f317(f124(x40002),x40004),x40005))) % 169.26/169.08 [4004]E(f317(f317(x40041,x40042),f317(f317(f235(x40043,x40044,x40041),x40042),x40045)),f317(f317(f235(x40043,x40044,x40041),x40042),f317(a102,x40045))) % 169.26/169.08 [4036]E(f153(x40361,x40362,x40363,f317(f317(f141(x40361),x40364),x40365)),f317(f317(f124(x40362),f317(x40363,x40364)),f153(x40361,x40362,x40363,x40365))) % 169.26/169.08 [4048]E(f317(f317(f279(x40481,x40482,x40483),f317(f276(x40482,x40481),x40484)),f317(f276(x40483,x40482),x40485)),f317(f276(x40483,x40481),f317(f317(f279(x40483,x40482,x40481),x40485),x40484))) % 169.26/169.08 [4080]E(f317(f317(f317(f173(f898(x40801),f898(x40801)),x40802),f157(x40801)),f317(f317(f144(x40803,x40801),x40804),x40805)),f317(f317(f144(x40803,x40801),x40804),f317(f317(f317(f173(f898(x40803),f898(x40803)),x40802),f157(x40803)),x40805))) % 169.26/169.08 [4081]E(f317(f317(f249(x40811,x40812,x40811,x40813),f317(f242(x40812,x40811),x40814)),x40815),f317(x40815,x40814)) % 169.26/169.08 [4104]E(f145(x41041,x41042,f317(f317(f144(x41043,x41041),x41044),x41045)),f145(x41043,f317(f67(x41041,a897,x41043,x41042),x41044),x41045)) % 169.26/169.08 [4167]E(f167(f905(x41671,x41672),f317(f67(x41672,a894,f905(x41671,x41672),x41673),f246(x41671,x41672)),f317(f317(f171(x41671,x41672),x41674),x41675)),f317(f317(f171(x41671,x41672),x41674),f167(x41672,x41673,x41675))) % 169.26/169.08 [4172]E(f317(f300(x41721,x41722,f317(f317(f8(x41723,x41722,x41721),x41724),x41725)),f232(f906(x41721,a894))),f317(f300(x41723,x41722,x41724),f317(f300(x41721,x41723,x41725),f232(f906(x41721,a894))))) % 169.26/169.08 [4185]E(f167(f905(x41851,x41852),f317(f67(x41851,a894,f905(x41851,x41852),x41853),f241(x41851,x41852)),f317(f317(f171(x41851,x41852),x41854),x41855)),f317(f317(f171(x41851,x41852),f167(x41851,x41853,x41854)),x41855)) % 169.26/169.08 [4206]E(f317(f317(f91(f906(x42061,a894)),f317(f301(x42061,x42062,x42063),f317(f317(f299(x42062),x42064),f178(f906(x42062,a894))))),f317(f301(x42061,x42062,x42063),x42065)),f317(f301(x42061,x42062,x42063),f317(f317(f299(x42062),x42064),x42065))) % 169.26/169.08 [4261]E(f317(f317(f124(f905(x42611,x42612)),f317(f317(f144(x42612,f905(x42611,x42612)),f317(f242(x42611,x42612),x42613)),x42614)),f54(x42611,x42612,x42615,x42614)),f54(x42611,x42612,f317(f317(f141(x42611),x42613),x42615),x42614)) % 169.26/169.08 [4263]E(f317(f317(f144(x42631,x42632),x42633),f167(x42631,f317(f67(x42632,a894,x42631,x42634),x42633),x42635)),f167(x42632,x42634,f317(f317(f144(x42631,x42632),x42633),x42635))) % 169.26/169.08 [4268]E(f317(f132(x42681,x42682,f317(f7(x42682,x42681,x42681),f317(f7(x42681,x42682,x42681),x42683)),x42684),f317(f158(x42682),f317(f158(x42682),x42685))),f317(f132(x42681,x42682,x42683,x42684),x42685)) % 169.26/169.08 [4371]P1(f317(f317(f224(f906(x43711,a894)),f317(f300(x43712,x43711,x43713),f317(f317(f92(f906(x43712,a894)),x43714),x43715))),f317(f317(f92(f906(x43711,a894)),f317(f300(x43712,x43711,x43713),x43714)),f317(f300(x43712,x43711,x43713),x43715)))) % 169.26/169.08 [4372]P1(f317(f317(f224(f906(x43721,a894)),f317(f275(x43722,x43721,x43723),f317(f317(f92(f906(x43722,a894)),x43724),x43725))),f317(f317(f92(f906(x43721,a894)),f317(f275(x43722,x43721,x43723),x43724)),f317(f275(x43722,x43721,x43723),x43725)))) % 169.26/169.08 [4471]E(f317(f246(x44711,x44712),f317(f248(x44713,x44711,x44712,x44712,x44714,f25(x44712)),x44715)),f317(f246(x44713,x44712),x44715)) % 169.26/169.08 [4472]E(f317(f241(x44721,x44722),f317(f248(x44721,x44721,x44723,x44722,f25(x44721),x44724),x44725)),f317(f241(x44721,x44723),x44725)) % 169.26/169.08 [3673]E(f317(f317(f317(f317(f194(x36731),x36732),x36733),x36734),x36735),f182(x36731,x36732)) % 169.26/169.08 [3674]E(f317(f317(f317(f317(f198(x36741),x36742),x36743),x36744),x36745),f189(x36741,x36742)) % 169.26/169.08 [4037]E(f317(f317(f34(x40371,f906(x40372,a894)),f317(f317(f299(x40371),x40373),x40374)),x40375),f317(f317(f91(f906(x40372,a894)),f317(x40375,x40373)),f317(f317(f34(x40371,f906(x40372,a894)),x40374),x40375))) % 169.26/169.08 [4038]E(f317(f317(f35(x40381,f906(x40382,a894)),f317(f317(f299(x40381),x40383),x40384)),x40385),f317(f317(f92(f906(x40382,a894)),f317(x40385,x40383)),f317(f317(f35(x40381,f906(x40382,a894)),x40384),x40385))) % 169.26/169.08 [4088]E(f317(f108(x40881,x40882,f317(x40883,x40884)),f317(f317(f7(x40881,a89,f899(x40882)),x40885),x40884)),f317(f187(x40881,x40882,x40883,x40885),x40884)) % 169.26/169.08 [4098]E(f317(f317(f91(f906(x40981,a894)),f317(f300(x40982,x40981,x40983),x40984)),f317(f300(x40982,x40981,x40983),x40985)),f317(f300(x40982,x40981,x40983),f317(f317(f91(f906(x40982,a894)),x40984),x40985))) % 169.26/169.08 [4099]E(f317(f317(f91(f906(x40991,a894)),f317(f275(x40992,x40991,x40993),x40994)),f317(f275(x40992,x40991,x40993),x40995)),f317(f275(x40992,x40991,x40993),f317(f317(f91(f906(x40992,a894)),x40994),x40995))) % 169.26/169.08 [4100]E(f317(f317(f23(f906(x41001,a894)),f317(f301(x41001,x41002,x41003),x41004)),f317(f301(x41001,x41002,x41003),x41005)),f317(f301(x41001,x41002,x41003),f317(f317(f23(f906(x41002,a894)),x41004),x41005))) % 169.26/169.08 [4101]E(f317(f317(f91(f906(x41011,a894)),f317(f301(x41011,x41012,x41013),x41014)),f317(f301(x41011,x41012,x41013),x41015)),f317(f301(x41011,x41012,x41013),f317(f317(f91(f906(x41012,a894)),x41014),x41015))) % 169.26/169.08 [4102]E(f317(f317(f92(f906(x41021,a894)),f317(f301(x41021,x41022,x41023),x41024)),f317(f301(x41021,x41022,x41023),x41025)),f317(f301(x41021,x41022,x41023),f317(f317(f92(f906(x41022,a894)),x41024),x41025))) % 169.26/169.08 [4163]E(f317(f317(f149(x41631,f317(f317(f124(x41631),x41632),f317(f317(f141(x41631),x41633),x41634))),f317(f179(f898(x41631)),x41632)),x41635),f317(f317(f124(x41631),x41632),f317(f317(f141(x41631),x41635),x41634))) % 169.26/169.08 [4170]E(f317(f317(f35(x41701,f906(x41702,a894)),x41703),f317(f317(f8(f906(x41702,a894),f906(x41702,a894),x41701),f317(f299(x41702),x41704)),x41705)),f317(f317(f299(x41702),x41704),f317(f317(f35(x41701,f906(x41702,a894)),x41703),x41705))) % 169.26/169.08 [4323]E(f317(f317(f144(x43231,x43232),x43233),f317(f126(x43231,f317(f67(x43232,a894,x43231,x43234),x43233)),x43235)),f317(f126(x43232,x43234),f317(f317(f144(x43231,x43232),x43233),x43235))) % 169.26/169.08 [4329]E(f317(f179(f898(x43291)),f317(f126(x43291,x43292),f317(f317(f144(x43293,x43291),x43294),x43295))),f317(f179(f898(x43293)),f317(f126(x43293,f317(f67(x43291,a894,x43293,x43292),x43294)),x43295))) % 169.26/169.08 [4536]E(f317(f146(f898(f905(x45361,x45362)),x45362,f103(f905(x45361,x45362)),f317(f317(f7(x45362,f906(f898(x45362),f898(f905(x45361,x45362))),f906(f898(x45362),f898(f905(x45361,x45362)))),f317(f317(f8(f906(f898(f905(x45361,x45362)),f898(f905(x45361,x45362))),f906(f906(f898(x45362),f898(f905(x45361,x45362))),f906(f898(x45362),f898(f905(x45361,x45362)))),x45362),f8(f898(f905(x45361,x45362)),f898(f905(x45361,x45362)),f898(x45362))),f317(f317(f8(f905(x45361,x45362),f906(f898(f905(x45361,x45362)),f898(f905(x45361,x45362))),x45362),f141(f905(x45361,x45362))),f317(f242(x45361,x45362),x45363)))),f317(f171(x45361,x45362),x45364))),x45365),f317(f317(f171(x45361,x45362),f317(f317(f141(x45361),x45363),x45364)),x45365)) % 169.26/169.08 [4029]E(f317(f317(f149(x40291,f317(f317(f149(x40291,x40292),x40293),x40294)),x40293),x40295),f317(f317(f149(x40291,x40292),x40293),x40295)) % 169.26/169.08 [4082]E(f317(f274(x40821,x40822),f317(f317(f299(f905(x40821,x40822)),f317(f317(f242(x40821,x40822),x40823),x40824)),x40825)),f317(f317(f299(x40822),x40824),f317(f274(x40821,x40822),x40825))) % 169.26/169.08 [4083]E(f317(f254(x40831,x40832),f317(f317(f299(f905(x40831,x40832)),f317(f317(f242(x40831,x40832),x40833),x40834)),x40835)),f317(f317(f299(x40831),x40833),f317(f254(x40831,x40832),x40835))) % 169.26/169.08 [4128]E(f112(x41281,x41282,f317(x41283,x41284),f317(f317(f7(x41281,a89,f899(f901(x41282))),x41285),x41284)),f317(f185(x41281,x41282,x41283,x41285),x41284)) % 169.26/169.08 [4156]E(f317(f317(f23(f906(f905(x41561,x41562),a894)),f317(f317(f244(x41561,x41562),x41563),x41564)),f317(f317(f244(x41561,x41562),x41565),x41564)),f317(f317(f244(x41561,x41562),f317(f317(f23(f906(x41561,a894)),x41563),x41565)),x41564)) % 169.26/169.08 [4157]E(f317(f317(f91(f906(f905(x41571,x41572),a894)),f317(f317(f244(x41571,x41572),x41573),x41574)),f317(f317(f244(x41571,x41572),x41575),x41574)),f317(f317(f244(x41571,x41572),f317(f317(f91(f906(x41571,a894)),x41573),x41575)),x41574)) % 169.26/169.08 [4158]E(f317(f317(f92(f906(f905(x41581,x41582),a894)),f317(f317(f244(x41581,x41582),x41583),x41584)),f317(f317(f244(x41581,x41582),x41585),x41584)),f317(f317(f244(x41581,x41582),f317(f317(f92(f906(x41581,a894)),x41583),x41585)),x41584)) % 169.26/169.08 [4217]E(f317(f317(f91(f906(x42171,a894)),f317(f317(f34(x42172,f906(x42171,a894)),x42173),x42174)),f317(f317(f34(x42172,f906(x42171,a894)),x42175),x42174)),f317(f317(f34(x42172,f906(x42171,a894)),f317(f317(f91(f906(x42172,a894)),x42173),x42175)),x42174)) % 169.26/169.08 [4218]E(f317(f317(f92(f906(x42181,a894)),f317(f317(f35(x42182,f906(x42181,a894)),x42183),x42184)),f317(f317(f35(x42182,f906(x42181,a894)),x42185),x42184)),f317(f317(f35(x42182,f906(x42181,a894)),f317(f317(f91(f906(x42182,a894)),x42183),x42185)),x42184)) % 169.26/169.08 [4232]E(f317(f317(f34(x42321,f906(x42322,a894)),x42323),f317(f317(f8(f906(x42322,a894),f906(x42322,a894),x42321),f317(f23(f906(x42322,a894)),x42324)),x42325)),f317(f317(f23(f906(x42322,a894)),x42324),f317(f317(f35(x42321,f906(x42322,a894)),x42323),x42325))) % 169.26/169.08 [4233]E(f317(f317(f34(x42331,f906(x42332,a894)),x42333),f317(f317(f8(f906(x42332,a894),f906(x42332,a894),x42331),f317(f92(f906(x42332,a894)),x42334)),x42335)),f317(f317(f92(f906(x42332,a894)),x42334),f317(f317(f34(x42331,f906(x42332,a894)),x42333),x42335))) % 169.26/169.08 [4234]E(f317(f317(f35(x42341,f906(x42342,a894)),x42343),f317(f317(f8(f906(x42342,a894),f906(x42342,a894),x42341),f317(f91(f906(x42342,a894)),x42344)),x42345)),f317(f317(f91(f906(x42342,a894)),x42344),f317(f317(f35(x42341,f906(x42342,a894)),x42343),x42345))) % 169.26/169.08 [4288]E(f175(f898(x42881),f317(f317(f141(x42881),x42882),x42883),f317(f317(f8(f898(x42881),f898(x42881),a897),f317(f141(x42881),x42884)),f317(f317(f7(a897,x42881,f898(x42881)),f149(x42881,x42883)),x42882)),x42885),f317(f317(f149(x42881,f317(f317(f141(x42881),x42884),x42883)),x42885),x42882)) % 169.26/169.08 [4292]E(f317(f317(f34(x42921,f906(f905(x42922,x42923),a894)),x42924),f317(f317(f8(f906(f905(x42923,x42922),a894),f906(f905(x42922,x42923),a894),x42921),f276(x42923,x42922)),x42925)),f317(f276(x42923,x42922),f317(f317(f34(x42921,f906(f905(x42923,x42922),a894)),x42924),x42925))) % 169.26/169.08 [4293]E(f317(f317(f35(x42931,f906(f905(x42932,x42933),a894)),x42934),f317(f317(f8(f906(f905(x42933,x42932),a894),f906(f905(x42932,x42933),a894),x42931),f276(x42933,x42932)),x42935)),f317(f276(x42933,x42932),f317(f317(f35(x42931,f906(f905(x42933,x42932),a894)),x42934),x42935))) % 169.26/169.08 [4394]P1(f317(f317(f224(f906(x43941,a894)),f317(f317(f23(f906(x43941,a894)),f317(f300(x43942,x43941,x43943),x43944)),f317(f300(x43942,x43941,x43943),x43945))),f317(f300(x43942,x43941,x43943),f317(f317(f23(f906(x43942,a894)),x43944),x43945)))) % 169.26/169.08 [4539]E(f317(f146(f898(f905(x45391,x45392)),x45391,f103(f905(x45391,x45392)),f317(f317(f7(x45391,f906(f898(x45391),f898(f905(x45391,x45392))),f906(f898(x45391),f898(f905(x45391,x45392)))),f317(f317(f8(f906(f898(f905(x45391,x45392)),f898(f905(x45391,x45392))),f906(f906(f898(x45391),f898(f905(x45391,x45392))),f906(f898(x45391),f898(f905(x45391,x45392)))),x45391),f8(f898(f905(x45391,x45392)),f898(f905(x45391,x45392)),f898(x45391))),f317(f317(f8(f905(x45391,x45392),f906(f898(f905(x45391,x45392)),f898(f905(x45391,x45392))),x45391),f141(f905(x45391,x45392))),f317(f317(f7(x45391,x45392,f905(x45391,x45392)),f242(x45391,x45392)),x45393)))),f317(f317(f7(f898(x45391),f898(x45392),f898(f905(x45391,x45392))),f171(x45391,x45392)),x45394))),x45395),f317(f317(f171(x45391,x45392),x45395),f317(f317(f141(x45392),x45393),x45394))) % 169.26/169.08 [4257]E(f317(f317(f91(f906(x42571,a894)),f317(f275(x42572,x42571,x42573),x42574)),f317(f275(x42572,x42571,x42575),x42574)),f317(f275(x42572,x42571,f317(f317(f91(f906(f905(x42572,x42571),a894)),x42573),x42575)),x42574)) % 169.26/169.08 [4294]E(f317(f317(f124(f905(x42941,x42942)),f317(f317(f171(x42941,x42942),x42943),f317(f317(f165(x42942),f317(f179(f898(x42941)),x42943)),x42944))),f317(f317(f171(x42941,x42942),x42945),f317(f317(f128(x42942),f317(f179(f898(x42941)),x42943)),x42944))),f317(f317(f171(x42941,x42942),f317(f317(f124(x42941),x42943),x42945)),x42944)) % 169.26/169.08 [4397]E(f317(f317(f244(x43971,x43972),x43973),f317(f317(f18(x43971,f906(x43972,a894),f906(x43972,a894)),f317(f317(f8(f906(x43972,a894),f906(f906(x43972,a894),f906(x43972,a894)),x43971),f23(f906(x43972,a894))),x43974)),x43975)),f317(f317(f23(f906(f905(x43971,x43972),a894)),f317(f317(f244(x43971,x43972),x43973),x43974)),f317(f317(f244(x43971,x43972),x43973),x43975))) % 169.26/169.08 [4398]E(f317(f317(f244(x43981,x43982),x43983),f317(f317(f18(x43981,f906(x43982,a894),f906(x43982,a894)),f317(f317(f8(f906(x43982,a894),f906(f906(x43982,a894),f906(x43982,a894)),x43981),f91(f906(x43982,a894))),x43984)),x43985)),f317(f317(f91(f906(f905(x43981,x43982),a894)),f317(f317(f244(x43981,x43982),x43983),x43984)),f317(f317(f244(x43981,x43982),x43983),x43985))) % 169.26/169.08 [4399]E(f317(f317(f244(x43991,x43992),x43993),f317(f317(f18(x43991,f906(x43992,a894),f906(x43992,a894)),f317(f317(f8(f906(x43992,a894),f906(f906(x43992,a894),f906(x43992,a894)),x43991),f92(f906(x43992,a894))),x43994)),x43995)),f317(f317(f92(f906(f905(x43991,x43992),a894)),f317(f317(f244(x43991,x43992),x43993),x43994)),f317(f317(f244(x43991,x43992),x43993),x43995))) % 169.26/169.08 [4403]E(f317(f317(f34(x44031,f906(x44032,a894)),x44033),f317(f317(f7(x44031,f906(x44032,a894),f906(x44032,a894)),f317(f317(f8(f906(x44032,a894),f906(f906(x44032,a894),f906(x44032,a894)),x44031),f23(f906(x44032,a894))),x44034)),x44035)),f317(f317(f23(f906(x44032,a894)),f317(f317(f34(x44031,f906(x44032,a894)),x44033),x44034)),x44035)) % 169.26/169.08 [4404]E(f317(f317(f34(x44041,f906(x44042,a894)),x44043),f317(f317(f7(x44041,f906(x44042,a894),f906(x44042,a894)),f317(f317(f8(f906(x44042,a894),f906(f906(x44042,a894),f906(x44042,a894)),x44041),f92(f906(x44042,a894))),x44044)),x44045)),f317(f317(f92(f906(x44042,a894)),f317(f317(f34(x44041,f906(x44042,a894)),x44043),x44044)),x44045)) % 169.26/169.08 [4405]E(f317(f317(f35(x44051,f906(x44052,a894)),x44053),f317(f317(f7(x44051,f906(x44052,a894),f906(x44052,a894)),f317(f317(f8(f906(x44052,a894),f906(f906(x44052,a894),f906(x44052,a894)),x44051),f91(f906(x44052,a894))),x44054)),x44055)),f317(f317(f91(f906(x44052,a894)),f317(f317(f35(x44051,f906(x44052,a894)),x44053),x44054)),x44055)) % 169.26/169.08 [4409]E(f317(f317(f34(x44091,f906(x44092,a894)),x44093),f317(f317(f18(x44091,f906(x44092,a894),f906(x44092,a894)),f317(f317(f8(f906(x44092,a894),f906(f906(x44092,a894),f906(x44092,a894)),x44091),f91(f906(x44092,a894))),x44094)),x44095)),f317(f317(f91(f906(x44092,a894)),f317(f317(f34(x44091,f906(x44092,a894)),x44093),x44094)),f317(f317(f34(x44091,f906(x44092,a894)),x44093),x44095))) % 169.26/169.08 [4410]E(f317(f317(f35(x44101,f906(x44102,a894)),x44103),f317(f317(f18(x44101,f906(x44102,a894),f906(x44102,a894)),f317(f317(f8(f906(x44102,a894),f906(f906(x44102,a894),f906(x44102,a894)),x44101),f92(f906(x44102,a894))),x44104)),x44105)),f317(f317(f92(f906(x44102,a894)),f317(f317(f35(x44101,f906(x44102,a894)),x44103),x44104)),f317(f317(f35(x44101,f906(x44102,a894)),x44103),x44105))) % 169.26/169.08 [4423]E(f317(f317(f34(x44231,f906(x44232,a894)),x44233),f317(f317(f18(x44231,f906(x44232,a894),f906(x44232,a894)),f317(f317(f8(f906(x44232,a894),f906(f906(x44232,a894),f906(x44232,a894)),x44231),f91(f906(x44232,a894))),x44234)),x44235)),f317(f317(f91(f906(x44232,a894)),f31(f906(x44232,a894),f317(f300(x44231,f906(x44232,a894),x44234),x44233))),f31(f906(x44232,a894),f317(f300(x44231,f906(x44232,a894),x44235),x44233)))) % 169.26/169.08 [4424]E(f317(f317(f35(x44241,f906(x44242,a894)),x44243),f317(f317(f18(x44241,f906(x44242,a894),f906(x44242,a894)),f317(f317(f8(f906(x44242,a894),f906(f906(x44242,a894),f906(x44242,a894)),x44241),f92(f906(x44242,a894))),x44244)),x44245)),f317(f317(f92(f906(x44242,a894)),f32(f906(x44242,a894),f317(f300(x44241,f906(x44242,a894),x44244),x44243))),f32(f906(x44242,a894),f317(f300(x44241,f906(x44242,a894),x44245),x44243)))) % 169.26/169.08 [4460]E(f317(f317(f128(x44601),f317(f179(f898(x44601)),f167(x44601,x44602,f317(f317(f144(x44603,x44601),x44604),x44605)))),f317(f317(f144(x44603,x44601),x44604),x44605)),f317(f317(f144(x44603,x44601),x44604),f317(f317(f128(x44603),f317(f179(f898(x44603)),f167(x44603,f317(f67(x44601,a894,x44603,x44602),x44604),x44605))),x44605))) % 169.26/169.08 [4336]E(f317(f317(f124(f905(x43361,x43362)),f317(f317(f171(x43361,x43362),f317(f317(f165(x43361),f317(f179(f898(x43362)),x43363)),x43364)),x43363)),f317(f317(f171(x43361,x43362),f317(f317(f128(x43361),f317(f179(f898(x43362)),x43363)),x43364)),x43365)),f317(f317(f171(x43361,x43362),x43364),f317(f317(f124(x43362),x43363),x43365))) % 169.26/169.08 [4451]E(f79(x44511,f317(f317(f18(x44511,a894,a894),f317(f317(f8(a894,f906(a894,a894),x44511),a315),f317(f317(f7(x44511,f906(x44511,a894),a894),f319(x44511)),x44512))),f317(f317(f7(x44511,x44513,a894),f317(f317(f8(x44513,f906(x44513,a894),x44511),a314),x44514)),x44515))),f317(f71(x44511,x44513,x44512,x44514),x44515)) % 169.26/169.08 [4452]E(f84(x44521,f317(f317(f18(x44521,a894,a894),f317(f317(f8(a894,f906(a894,a894),x44521),a315),f317(f317(f7(x44521,f906(x44521,a894),a894),f319(x44521)),x44522))),f317(f317(f7(x44521,x44523,a894),f317(f317(f8(x44523,f906(x44523,a894),x44521),a314),x44524)),x44525))),f317(f85(x44521,x44523,x44522,x44524),x44525)) % 169.26/169.08 [4500]E(f317(f317(f80(a1,x45001),f317(f94(a1),f317(f317(f74(a1),x45002),a87))),f317(f317(f18(a1,x45001,x45001),f317(f317(f7(a1,x45001,f906(x45001,x45001)),f317(f317(f8(a894,f906(x45001,f906(x45001,x45001)),a1),f86(x45001)),a183)),f175(x45001,x45003,x45004,x45005))),f317(f317(f8(a897,x45001,a1),x45004),f317(f317(f7(a1,a897,a897),f317(f317(f8(a897,f906(a897,a897),a1),f74(a897)),a95)),x45005)))),f175(x45001,x45003,x45004,f317(f317(f74(a897),f317(f94(a897),x45002)),x45005))) % 169.26/169.08 [4535]E(f317(f317(f80(a1,x45351),f317(f94(a1),f317(f317(f74(a1),x45352),a87))),f317(f317(f18(a1,x45351,x45351),f317(f317(f7(a1,x45351,f906(x45351,x45351)),f317(f317(f8(a894,f906(x45351,f906(x45351,x45351)),a1),f86(x45351)),a183)),f317(f174(x45351,x45353,x45354),x45355))),f317(f317(f18(a1,x45351,x45351),f317(f317(f8(a897,f906(x45351,x45351),a1),x45354),f317(f317(f7(a1,a897,a897),f317(f317(f8(a897,f906(a897,a897),a1),f74(a897)),a95)),x45355))),f317(f317(f8(a897,x45351,a1),f174(x45351,x45353,x45354)),f317(f317(f7(a1,a897,a897),f317(f317(f8(a897,f906(a897,a897),a1),f74(a897)),a95)),x45355))))),f317(f174(x45351,x45353,x45354),f317(f317(f74(a897),f317(f94(a897),x45352)),x45355))) % 169.26/169.08 [4568]E(f317(f252(f905(x45681,x45682)),f317(f247(x45681,x45682,a894),f317(f317(f8(f906(x45682,f906(x45683,a894)),f906(x45682,a894),x45681),f317(f8(f906(x45683,a894),a894,x45682),f81(x45683))),f317(f317(f7(x45681,f906(x45682,f906(x45683,a894)),f906(x45682,f906(x45683,a894))),f317(f317(f8(f906(f906(x45683,a894),f906(x45683,a894)),f906(f906(x45682,f906(x45683,a894)),f906(x45682,f906(x45683,a894))),x45681),f8(f906(x45683,a894),f906(x45683,a894),x45682)),f317(f317(f8(f906(x45683,f906(a894,a894)),f906(f906(x45683,a894),f906(x45683,a894)),x45681),f18(x45683,a894,a894)),f317(f317(f8(f906(x45683,a894),f906(x45683,f906(a894,a894)),x45681),f317(f8(a894,f906(a894,a894),x45683),a315)),f317(f317(f7(x45681,f906(f905(x45681,x45683),a894),f906(x45683,a894)),f317(f317(f8(f906(x45683,f906(f906(f905(x45681,x45683),a894),a894)),f906(f906(f905(x45681,x45683),a894),f906(x45683,a894)),x45681),f7(x45683,f906(f905(x45681,x45683),a894),a894)),f317(f317(f8(f906(x45683,f905(x45681,x45683)),f906(x45683,f906(f906(f905(x45681,x45683),a894),a894)),x45681),f317(f8(f905(x45681,x45683),f906(f906(f905(x45681,x45683),a894),a894),x45683),f319(f905(x45681,x45683)))),f242(x45681,x45683)))),x45684))))),f317(f317(f7(x45682,f906(f905(x45683,x45682),a894),f906(x45683,a894)),f317(f317(f8(f906(x45683,f906(f906(f905(x45683,x45682),a894),a894)),f906(f906(f905(x45683,x45682),a894),f906(x45683,a894)),x45682),f7(x45683,f906(f905(x45683,x45682),a894),a894)),f317(f317(f8(f906(x45683,f905(x45683,x45682)),f906(x45683,f906(f906(f905(x45683,x45682),a894),a894)),x45682),f317(f8(f905(x45683,x45682),f906(f906(f905(x45683,x45682),a894),a894),x45683),f319(f905(x45683,x45682)))),f317(f7(x45683,x45682,f905(x45683,x45682)),f242(x45683,x45682))))),x45685))))),f317(f317(f279(x45681,x45683,x45682),x45684),x45685)) % 169.26/169.08 [4186]E(f214(x41861,x41862,x41863,x41864,f210(x41861,x41862,x41865,x41866)),f317(f317(x41864,x41865),x41866)) % 169.26/169.08 [4187]E(f215(x41871,x41872,x41873,x41874,f210(x41871,x41872,x41875,x41876)),f317(f317(x41874,x41875),x41876)) % 169.26/169.08 [4312]E(f117(x43121,x43122,x43123,x43124,f116(x43122,x43125,x43126)),f317(f317(f317(x43124,x43125),x43126),f117(x43121,x43122,x43123,x43124,x43126))) % 169.26/169.08 [4331]E(f69(x43311,x43312,f69(x43311,x43312,x43313,x43314,x43315),x43314,x43316),f69(x43311,x43312,x43313,x43314,x43316)) % 169.26/169.08 [4439]E(f317(f67(f905(x44391,x44392),x44392,f905(x44393,x44394),f246(x44391,x44392)),f248(x44393,x44391,x44394,x44392,x44395,x44396)),f317(f67(x44394,x44392,f905(x44393,x44394),x44396),f246(x44393,x44394))) % 169.26/169.08 [4440]E(f317(f67(f905(x44401,x44402),x44401,f905(x44403,x44404),f241(x44401,x44402)),f248(x44403,x44401,x44404,x44402,x44405,x44406)),f317(f67(x44403,x44401,f905(x44403,x44404),x44405),f241(x44403,x44404))) % 169.26/169.08 [4058]E(f317(f317(f67(x40581,x40582,x40583,x40584),x40585),x40586),f317(x40584,f317(x40585,x40586))) % 169.26/169.08 [4196]E(f213(x41961,f905(x41962,f899(x41962)),x41963,f317(f247(x41962,f899(x41962),x41961),x41964),f317(f125(x41962),f116(x41962,x41965,x41966))),f317(f317(x41964,x41965),x41966)) % 169.26/169.08 [4246]E(f216(x42461,x42462,x42463,x42464,f210(x42461,x42462,x42465,x42466)),f317(f317(f74(a897),f317(f317(f74(a897),f317(x42463,x42465)),f317(x42464,x42466))),f317(a102,f2(a897)))) % 169.26/169.08 [3859]E(f317(f317(f247(x38591,x38592,x38593),x38594),f317(f317(f242(x38591,x38592),x38595),x38596)),f317(f317(x38594,x38595),x38596)) % 169.26/169.08 [3919]E(f317(f317(f317(f8(x39191,x39192,x39193),x39194),x39195),x39196),f317(x39194,f317(x39195,x39196))) % 169.26/169.08 [3920]E(f317(f317(f317(f7(x39201,x39202,x39203),x39204),x39205),x39206),f317(f317(x39204,x39206),x39205)) % 169.26/169.08 [3936]E(f317(f317(f317(f18(x39361,x39362,x39363),x39364),x39365),x39366),f317(f317(x39364,x39366),f317(x39365,x39366))) % 169.26/169.08 [3959]E(f317(f146(x39591,x39592,x39593,x39594),f317(f317(f141(x39592),x39595),x39596)),f317(f317(x39594,x39595),x39596)) % 169.26/169.08 [3996]E(f159(f905(x39961,x39962),f317(f317(f228(a897),x39963),x39964),f317(f317(f242(x39961,x39962),x39965),x39966)),f317(f317(f171(x39961,x39962),f159(x39961,x39963,x39965)),f159(x39962,x39964,x39966))) % 169.26/169.08 [4062]E(f317(f317(f141(f905(x40621,x40622)),f317(f317(f242(x40621,x40622),x40623),x40624)),f317(f317(f171(x40621,x40622),x40625),x40626)),f317(f317(f171(x40621,x40622),f317(f317(f141(x40621),x40623),x40625)),f317(f317(f141(x40622),x40624),x40626))) % 169.26/169.08 [4063]E(f317(f317(f144(x40631,x40632),x40633),f317(f317(f149(x40631,x40634),x40635),x40636)),f317(f317(f149(x40632,f317(f317(f144(x40631,x40632),x40633),x40634)),x40635),f317(x40633,x40636))) % 169.26/169.08 [4087]E(f317(f317(f245(x40871,x40872,x40873,x40874),x40875),x40876),f317(x40874,f317(f317(f242(x40871,x40872),x40875),x40876))) % 169.26/169.08 [4103]E(f317(f132(x41031,x41032,x41033,x41034),f317(f317(f141(x41032),x41035),x41036)),f317(f132(x41031,x41032,x41033,f317(f317(x41033,x41034),x41035)),x41036)) % 169.26/169.08 [4129]E(f250(x41291,x41292,x41293,x41294,f317(f317(f242(x41291,x41292),x41295),x41296)),f317(f317(x41294,x41295),x41296)) % 169.26/169.08 [4210]E(f317(f317(f34(x42101,f906(x42102,a894)),x42103),f317(f67(x42104,f906(x42102,a894),x42101,x42105),x42106)),f317(f317(f34(x42104,f906(x42102,a894)),f317(f300(x42101,x42104,x42106),x42103)),x42105)) % 169.26/169.08 [4260]E(f317(f317(f144(x42601,x42602),x42603),f317(f317(f144(x42604,x42601),x42605),x42606)),f317(f317(f144(x42604,x42602),f317(f67(x42601,x42602,x42604,x42603),x42605)),x42606)) % 169.26/169.08 [4266]E(f317(f300(x42661,x42662,f317(f67(x42663,x42662,x42661,x42664),x42665)),x42666),f317(f300(x42663,x42662,x42664),f317(f300(x42661,x42663,x42665),x42666))) % 169.26/169.08 [4267]E(f317(f301(x42671,x42672,f317(f67(x42673,x42672,x42671,x42674),x42675)),x42676),f317(f301(x42671,x42673,x42675),f317(f301(x42673,x42672,x42674),x42676))) % 169.26/169.08 [4295]E(f317(f132(x42951,x42952,x42953,f317(f132(x42951,x42952,x42953,x42954),x42955)),x42956),f317(f132(x42951,x42952,x42953,x42954),f317(f317(f124(x42952),x42955),x42956))) % 169.26/169.08 [4429]E(f317(f248(x44291,x44291,x44292,x44293,f25(x44291),x44294),f317(f317(f242(x44291,x44292),x44295),x44296)),f317(f317(f242(x44291,x44293),x44295),f317(x44294,x44296))) % 169.26/169.08 [4430]E(f317(f248(x44301,x44302,x44303,x44303,x44304,f25(x44303)),f317(f317(f242(x44301,x44303),x44305),x44306)),f317(f317(f242(x44302,x44303),f317(x44304,x44305)),x44306)) % 169.26/169.08 [4518]E(f317(f317(f144(f905(x45181,x45182),f905(x45181,x45183)),f317(f247(x45181,x45182,f905(x45181,x45183)),f317(f317(f7(x45181,f906(x45182,x45183),f906(x45182,f905(x45181,x45183))),f317(f317(f8(f906(x45183,f905(x45181,x45183)),f906(f906(x45182,x45183),f906(x45182,f905(x45181,x45183))),x45181),f8(x45183,f905(x45181,x45183),x45182)),f242(x45181,x45183))),x45184))),f317(f317(f171(x45181,x45182),x45185),x45186)),f317(f317(f171(x45181,x45183),x45185),f317(f317(f144(x45182,x45183),x45184),x45186))) % 169.26/169.08 [4113]E(f317(f317(f67(x41131,x41132,x41133,f317(f16(x41132,x41131),x41134)),x41135),x41136),x41134) % 169.26/169.08 [4145]E(f317(f300(x41451,x41452,x41453),f317(f300(x41454,x41451,x41455),x41456)),f317(f300(x41454,x41452,f317(f317(f8(x41451,x41452,x41454),x41453),x41455)),x41456)) % 169.26/169.08 [4151]E(f317(f317(f34(x41511,f906(x41512,a894)),f317(f300(x41513,x41511,x41514),x41515)),x41516),f317(f317(f34(x41513,f906(x41512,a894)),x41515),f317(f317(f8(x41511,f906(x41512,a894),x41513),x41516),x41514))) % 169.26/169.08 [4152]E(f317(f317(f35(x41521,f906(x41522,a894)),f317(f300(x41523,x41521,x41524),x41525)),x41526),f317(f317(f35(x41523,f906(x41522,a894)),x41525),f317(f317(f8(x41521,f906(x41522,a894),x41523),x41526),x41524))) % 169.26/169.08 [4153]E(f317(f317(f34(x41531,f906(x41532,a894)),x41533),f317(f317(f8(x41534,f906(x41532,a894),x41531),x41535),x41536)),f317(f317(f34(x41534,f906(x41532,a894)),f317(f300(x41531,x41534,x41536),x41533)),x41535)) % 169.26/169.08 [4154]E(f317(f317(f35(x41541,f906(x41542,a894)),x41543),f317(f317(f8(x41544,f906(x41542,a894),x41541),x41545),x41546)),f317(f317(f35(x41544,f906(x41542,a894)),f317(f300(x41541,x41544,x41546),x41543)),x41545)) % 169.26/169.08 [4212]E(f317(f317(f34(x42121,f906(x42122,a894)),x42123),f317(f317(f8(f906(x42124,a894),f906(x42122,a894),x42121),f300(x42124,x42122,x42125)),x42126)),f317(f300(x42124,x42122,x42125),f317(f317(f34(x42121,f906(x42124,a894)),x42123),x42126))) % 169.26/169.08 [4213]E(f317(f317(f34(x42131,f906(x42132,a894)),x42133),f317(f317(f8(f906(x42134,a894),f906(x42132,a894),x42131),f275(x42134,x42132,x42135)),x42136)),f317(f275(x42134,x42132,x42135),f317(f317(f34(x42131,f906(x42134,a894)),x42133),x42136))) % 169.26/169.08 [4214]E(f317(f317(f34(x42141,f906(x42142,a894)),x42143),f317(f317(f8(f906(x42144,a894),f906(x42142,a894),x42141),f301(x42142,x42144,x42145)),x42146)),f317(f301(x42142,x42144,x42145),f317(f317(f34(x42141,f906(x42144,a894)),x42143),x42146))) % 169.26/169.08 [4215]E(f317(f317(f35(x42151,f906(x42152,a894)),x42153),f317(f317(f8(f906(x42154,a894),f906(x42152,a894),x42151),f301(x42152,x42154,x42155)),x42156)),f317(f301(x42152,x42154,x42155),f317(f317(f35(x42151,f906(x42154,a894)),x42153),x42156))) % 169.26/169.08 [4300]E(f317(f132(x43001,x43002,f317(f7(x43002,x43001,x43001),x43003),x43004),f317(f158(x43002),f317(f317(f141(x43002),x43005),x43006))),f317(f317(x43003,x43005),f317(f132(x43001,x43002,f317(f7(x43002,x43001,x43001),x43003),x43004),f317(f158(x43002),x43006)))) % 169.26/169.08 [4358]E(f317(f317(f18(f905(x43581,x43582),x43582,x43583),f317(f317(f8(x43584,f906(x43582,x43583),f905(x43581,x43582)),x43585),f317(f317(f8(x43581,x43584,f905(x43581,x43582)),x43586),f241(x43581,x43582)))),f246(x43581,x43582)),f317(f247(x43581,x43582,x43583),f317(f317(f8(x43584,f906(x43582,x43583),x43581),x43585),x43586))) % 169.26/169.08 [4365]E(f317(f132(x43651,x43652,f317(f7(x43652,x43651,x43651),x43653),f317(f132(x43651,x43652,f317(f7(x43652,x43651,x43651),x43653),x43654),f317(f158(x43652),x43655))),f317(f158(x43652),x43656)),f317(f132(x43651,x43652,f317(f7(x43652,x43651,x43651),x43653),x43654),f317(f158(x43652),f317(f317(f124(x43652),x43656),x43655)))) % 169.26/169.08 [4367]E(f317(f317(f144(f905(x43671,x43672),f905(x43673,x43672)),f317(f247(x43671,x43672,f905(x43673,x43672)),f317(f317(f8(x43673,f906(x43672,f905(x43673,x43672)),x43671),f242(x43673,x43672)),x43674))),f317(f317(f171(x43671,x43672),x43675),x43676)),f317(f317(f171(x43673,x43672),f317(f317(f144(x43671,x43673),x43674),x43675)),x43676)) % 169.26/169.08 [4412]P1(f317(f317(f224(f906(x44121,a894)),f317(f275(x44122,x44121,x44123),f317(f317(f35(x44124,f906(x44122,a894)),x44125),x44126))),f317(f317(f35(x44124,f906(x44121,a894)),x44125),f317(f317(f8(f906(x44122,a894),f906(x44121,a894),x44124),f275(x44122,x44121,x44123)),x44126)))) % 169.26/169.08 [4225]E(f317(f317(f171(x42251,x42252),f317(f317(f149(x42251,x42253),x42254),f317(f241(x42251,x42252),x42255))),f317(f317(f149(x42252,x42256),x42254),f317(f246(x42251,x42252),x42255))),f317(f317(f149(f905(x42251,x42252),f317(f317(f171(x42251,x42252),x42253),x42256)),x42254),x42255)) % 169.26/169.08 [4283]E(f317(f317(f91(f906(f905(x42831,x42832),a894)),f317(f317(f279(x42831,x42833,x42832),x42834),x42835)),f317(f317(f279(x42831,x42833,x42832),x42834),x42836)),f317(f317(f279(x42831,x42833,x42832),x42834),f317(f317(f91(f906(f905(x42833,x42832),a894)),x42835),x42836))) % 169.26/169.08 [4377]E(f317(f317(f299(f905(x43771,x43772)),f317(f317(f242(x43771,x43772),x43773),x43774)),f317(f317(f91(f906(f905(x43771,x43772),a894)),f317(f317(f244(x43771,x43772),x43775),f317(f16(f906(x43772,a894),x43771),f317(f317(f299(x43772),x43774),x43776)))),f317(f317(f244(x43771,x43772),f317(f317(f299(x43771),x43773),x43775)),f317(f16(f906(x43772,a894),x43771),x43776)))),f317(f317(f244(x43771,x43772),f317(f317(f299(x43771),x43773),x43775)),f317(f16(f906(x43772,a894),x43771),f317(f317(f299(x43772),x43774),x43776)))) % 169.26/169.08 [4456]E(f317(f317(f92(f906(x44561,a894)),f317(f301(x44561,x44562,f317(f67(f905(x44562,x44563),x44562,x44561,f241(x44562,x44563)),x44564)),x44565)),f317(f301(x44561,x44563,f317(f67(f905(x44562,x44563),x44563,x44561,f246(x44562,x44563)),x44564)),x44566)),f317(f301(x44561,f905(x44562,x44563),x44564),f317(f317(f244(x44562,x44563),x44565),f317(f16(f906(x44563,a894),x44562),x44566)))) % 169.26/169.08 [4306]E(f317(f317(f91(f906(f905(x43061,x43062),a894)),f317(f317(f279(x43061,x43063,x43062),x43064),x43065)),f317(f317(f279(x43061,x43063,x43062),x43066),x43065)),f317(f317(f279(x43061,x43063,x43062),f317(f317(f91(f906(f905(x43061,x43063),a894)),x43064),x43066)),x43065)) % 169.26/169.08 [4437]E(f317(f317(f34(x44371,f906(x44372,a894)),x44373),f317(f317(f7(x44371,f906(x44374,f906(x44372,a894)),f906(x44372,a894)),f317(f317(f8(f906(x44374,a894),f906(f906(x44374,f906(x44372,a894)),f906(x44372,a894)),x44371),f34(x44374,f906(x44372,a894))),x44375)),x44376)),f317(f317(f34(x44374,f906(x44372,a894)),f317(f317(f34(x44371,f906(x44374,a894)),x44373),x44375)),x44376)) % 169.26/169.08 [4438]E(f317(f317(f35(x44381,f906(x44382,a894)),x44383),f317(f317(f7(x44381,f906(x44384,f906(x44382,a894)),f906(x44382,a894)),f317(f317(f8(f906(x44384,a894),f906(f906(x44384,f906(x44382,a894)),f906(x44382,a894)),x44381),f35(x44384,f906(x44382,a894))),x44385)),x44386)),f317(f317(f35(x44384,f906(x44382,a894)),f317(f317(f34(x44381,f906(x44384,a894)),x44383),x44385)),x44386)) % 169.26/169.08 [4490]E(f317(f247(x44901,x44902,f905(x44903,x44904)),f317(f317(f7(x44901,f906(x44902,x44904),f906(x44902,f905(x44903,x44904))),f317(f317(f8(f906(x44904,f905(x44903,x44904)),f906(f906(x44902,x44904),f906(x44902,f905(x44903,x44904))),x44901),f8(x44904,f905(x44903,x44904),x44902)),f317(f317(f8(x44903,f906(x44904,f905(x44903,x44904)),x44901),f242(x44903,x44904)),x44905))),x44906)),f248(x44901,x44903,x44902,x44904,x44905,x44906)) % 169.26/169.08 [4513]E(f317(f300(x45131,x45132,f317(f317(f18(x45131,x45132,x45132),f317(f317(f18(x45131,x45132,f906(x45132,x45132)),f317(f317(f8(a894,f906(x45132,f906(x45132,x45132)),x45131),f86(x45132)),x45133)),x45134)),x45135)),x45136),f317(f317(f91(f906(x45132,a894)),f317(f300(x45131,x45132,x45134),f317(f317(f92(f906(x45131,a894)),x45136),f317(f252(x45131),x45133)))),f317(f300(x45131,x45132,x45135),f317(f317(f92(f906(x45131,a894)),x45136),f317(f252(x45131),f317(f317(f8(a894,a894,x45131),a312),x45133)))))) % 169.26/169.08 [4525]E(f317(f300(x45251,f905(x45252,x45253),f317(f317(f18(x45251,x45253,f905(x45252,x45253)),f317(f317(f8(x45252,f906(x45253,f905(x45252,x45253)),x45251),f242(x45252,x45253)),x45254)),x45255)),x45256),f317(f317(f244(x45252,x45253),f317(f300(x45251,x45252,x45254),x45256)),f317(f317(f8(f906(x45251,a894),f906(x45253,a894),x45252),f300(x45251,x45253,x45255)),f317(f317(f7(x45252,f906(x45251,a894),f906(x45251,a894)),f317(f317(f8(f906(x45251,a894),f906(f906(x45251,a894),f906(x45251,a894)),x45252),f92(f906(x45251,a894))),f317(f317(f8(f906(x45252,a894),f906(x45251,a894),x45252),f301(x45251,x45252,x45254)),f317(f317(f7(x45252,f906(x45252,a894),f906(x45252,a894)),f299(x45252)),f178(f906(x45252,a894)))))),x45256)))) % 169.26/169.08 [4550]E(f236(x45501,x45502,x45503,x45504,x45505,x45506),f317(x45504,f317(f252(x45501),f317(f317(f8(f906(f906(x45503,x45501),a894),a894,x45501),f81(f906(x45503,x45501))),f317(f317(f8(f906(f906(x45503,x45501),a894),f906(f906(x45503,x45501),a894),x45501),f317(f18(f906(x45503,x45501),a894,a894),f317(f317(f8(a894,f906(a894,a894),f906(x45503,x45501)),a315),f317(f317(f7(f906(x45503,x45501),f906(f906(x45503,x45501),a894),a894),f319(f906(x45503,x45501))),x45505)))),f317(f317(f7(x45501,f906(f906(x45503,x45501),x45501),f906(f906(x45503,x45501),a894)),f317(f317(f8(f906(x45501,a894),f906(f906(f906(x45503,x45501),x45501),f906(f906(x45503,x45501),a894)),x45501),f8(x45501,a894,f906(x45503,x45501))),a314)),f317(f317(f7(f906(x45503,x45501),x45503,x45501),f5(f906(x45503,x45501))),x45506))))))) % 169.26/169.08 [4339]E(f317(f67(x43391,x43392,x43393,x43394),f69(x43393,x43391,x43395,x43396,x43397)),f69(x43393,x43392,f317(f67(x43391,x43392,x43393,x43394),x43395),x43396,f317(x43394,x43397))) % 169.26/169.08 [4473]E(f317(f246(x44731,x44732),f317(f248(x44733,x44731,x44734,x44732,x44735,x44736),x44737)),f317(x44736,f317(f246(x44733,x44734),x44737))) % 169.26/169.08 [4474]E(f317(f241(x44741,x44742),f317(f248(x44743,x44741,x44744,x44742,x44745,x44746),x44747)),f317(x44745,f317(f241(x44743,x44744),x44747))) % 169.26/169.08 [4188]E(f317(f317(f171(x41881,x41882),f317(f317(f149(x41881,x41883),x41884),x41885)),f317(f317(f149(x41882,x41886),x41884),x41887)),f317(f317(f149(f905(x41881,x41882),f317(f317(f171(x41881,x41882),x41883),x41886)),x41884),f317(f317(f242(x41881,x41882),x41885),x41887))) % 169.26/169.08 [4255]E(f317(f317(f317(f249(x42551,x42552,x42553,x42554),x42555),x42556),x42557),f317(f317(f247(x42552,x42553,x42554),x42556),f317(x42555,x42557))) % 169.26/169.08 [4265]E(f317(f317(f317(f249(x42651,x42652,x42653,x42654),x42655),x42656),x42657),f317(f317(x42656,f317(f241(x42652,x42653),f317(x42655,x42657))),f317(f246(x42652,x42653),f317(x42655,x42657)))) % 169.26/169.08 [4317]E(f317(f67(x43171,x43172,x43173,x43174),f317(f67(x43175,x43171,x43173,x43176),x43177)),f317(f67(x43175,x43172,x43173,f317(f67(x43171,x43172,x43175,x43174),x43176)),x43177)) % 169.26/169.08 [4494]E(f317(f248(x44941,x44942,x44943,x44943,x44944,f25(x44943)),f317(f248(x44941,x44941,x44945,x44943,f25(x44941),x44946),x44947)),f317(f317(f242(x44942,x44943),f317(x44944,f317(f241(x44941,x44945),x44947))),f317(x44946,f317(f246(x44941,x44945),x44947)))) % 169.26/169.08 [4495]E(f317(f248(x44951,x44951,x44952,x44953,f25(x44951),x44954),f317(f248(x44955,x44951,x44952,x44952,x44956,f25(x44952)),x44957)),f317(f317(f242(x44951,x44953),f317(x44956,f317(f241(x44955,x44952),x44957))),f317(x44954,f317(f246(x44955,x44952),x44957)))) % 169.26/169.08 [4511]E(f317(f248(x45111,x45112,x45113,x45113,x45114,f25(x45113)),f317(f248(x45115,x45111,x45113,x45113,x45116,f25(x45113)),x45117)),f317(f248(x45115,x45112,x45113,x45113,f317(f67(x45111,x45112,x45115,x45114),x45116),f25(x45113)),x45117)) % 169.26/169.08 [4512]E(f317(f248(x45121,x45121,x45122,x45123,f25(x45121),x45124),f317(f248(x45121,x45121,x45125,x45122,f25(x45121),x45126),x45127)),f317(f248(x45121,x45121,x45125,x45123,f25(x45121),f317(f67(x45122,x45123,x45125,x45124),x45126)),x45127)) % 169.26/169.08 [4522]E(f317(f248(x45221,x45222,x45223,x45223,x45224,f25(x45223)),f317(f248(x45221,x45221,x45225,x45223,f25(x45221),x45226),x45227)),f317(f248(x45222,x45222,x45225,x45223,f25(x45222),x45226),f317(f248(x45221,x45222,x45225,x45225,x45224,f25(x45225)),x45227))) % 169.26/169.08 [4222]E(f317(f317(f279(x42221,x42222,x42223),f317(f317(f279(x42221,x42224,x42222),x42225),x42226)),x42227),f317(f317(f279(x42221,x42224,x42223),x42225),f317(f317(f279(x42224,x42222,x42223),x42226),x42227))) % 169.26/169.08 [4289]E(f317(f317(f247(x42891,x42892,x42893),f317(f67(x42894,f906(x42892,x42893),x42891,x42895),x42896)),x42897),f317(f317(x42895,f317(x42896,f317(f241(x42891,x42892),x42897))),f317(f246(x42891,x42892),x42897))) % 169.26/169.08 [4370]E(f317(f132(x43701,x43702,f317(f7(x43702,x43701,x43701),x43703),x43704),f317(f158(x43702),f317(f317(f144(x43705,x43702),x43706),x43707))),f317(f132(x43701,x43705,f317(f7(x43705,x43701,x43701),f317(f67(x43702,f906(x43701,x43701),x43705,x43703),x43706)),x43704),f317(f158(x43705),x43707))) % 169.26/169.08 [4318]E(f317(f317(f34(x43181,f906(f905(x43182,x43183),a894)),x43184),f317(f317(f8(f906(f905(x43185,x43183),a894),f906(f905(x43182,x43183),a894),x43181),f317(f279(x43182,x43185,x43183),x43186)),x43187)),f317(f317(f279(x43182,x43185,x43183),x43186),f317(f317(f34(x43181,f906(f905(x43185,x43183),a894)),x43184),x43187))) % 169.26/169.08 [4461]E(f317(f317(f34(x44611,f906(f905(x44612,x44613),a894)),x44614),f317(f317(f7(x44611,f906(f905(x44615,x44613),a894),f906(f905(x44612,x44613),a894)),f317(f317(f8(f906(f905(x44612,x44615),a894),f906(f906(f905(x44615,x44613),a894),f906(f905(x44612,x44613),a894)),x44611),f279(x44612,x44615,x44613)),x44616)),x44617)),f317(f317(f279(x44612,x44615,x44613),f317(f317(f34(x44611,f906(f905(x44612,x44615),a894)),x44614),x44616)),x44617)) % 169.26/169.08 [4462]E(f317(f132(x44621,x44622,f317(f317(f7(x44621,f906(x44622,x44623),f906(x44622,x44621)),f317(f317(f8(f906(x44623,x44621),f906(f906(x44622,x44623),f906(x44622,x44621)),x44621),f8(x44623,x44621,x44622)),x44624)),x44625),x44626),x44627),f317(f132(x44621,x44623,x44624,x44626),f317(f317(f144(x44622,x44623),x44625),x44627))) % 169.26/169.08 [4523]E(f317(f317(f35(x45231,f906(x45232,a894)),x45233),f317(f317(f8(f906(x45234,f906(x45232,a894)),f906(x45232,a894),x45231),f317(f35(x45234,f906(x45232,a894)),x45235)),f317(f317(f7(x45231,f906(x45234,f906(x45232,a894)),f906(x45234,f906(x45232,a894))),f317(f317(f8(f906(f906(x45232,a894),f906(x45232,a894)),f906(f906(x45234,f906(x45232,a894)),f906(x45234,f906(x45232,a894))),x45231),f8(f906(x45232,a894),f906(x45232,a894),x45234)),f317(f317(f8(f906(x45232,a894),f906(f906(x45232,a894),f906(x45232,a894)),x45231),f91(f906(x45232,a894))),x45236))),x45237))),f317(f317(f91(f906(x45232,a894)),f317(f317(f35(x45231,f906(x45232,a894)),x45233),x45236)),f317(f317(f35(x45234,f906(x45232,a894)),x45235),x45237))) % 169.26/169.08 [4524]E(f317(f317(f34(x45241,f906(x45242,a894)),x45243),f317(f317(f8(f906(x45244,f906(x45242,a894)),f906(x45242,a894),x45241),f317(f34(x45244,f906(x45242,a894)),x45245)),f317(f317(f7(x45241,f906(x45244,f906(x45242,a894)),f906(x45244,f906(x45242,a894))),f317(f317(f8(f906(f906(x45242,a894),f906(x45242,a894)),f906(f906(x45244,f906(x45242,a894)),f906(x45244,f906(x45242,a894))),x45241),f8(f906(x45242,a894),f906(x45242,a894),x45244)),f317(f317(f8(f906(x45242,a894),f906(f906(x45242,a894),f906(x45242,a894)),x45241),f92(f906(x45242,a894))),x45246))),x45247))),f317(f317(f92(f906(x45242,a894)),f317(f317(f34(x45241,f906(x45242,a894)),x45243),x45246)),f317(f317(f34(x45244,f906(x45242,a894)),x45245),x45247))) % 169.26/169.08 [4516]E(f187(x45161,x45162,f317(f317(f317(x45163,x45164),x45165),x45166),f317(f317(f7(x45161,f905(a89,a89),f906(a89,f899(x45162))),f317(f317(f7(x45161,a89,f906(f905(a89,a89),f906(a89,f899(x45162)))),f317(f317(f7(x45161,a89,f906(a89,f906(f905(a89,a89),f906(a89,f899(x45162))))),x45167),x45164)),x45165)),x45166)),f317(f317(f317(f199(x45161,x45162,x45163,x45167),x45164),x45165),x45166)) % 169.26/169.08 [4530]E(f188(x45301,x45302,f317(f317(f317(x45303,x45304),x45305),x45306),f317(f317(f7(x45301,f905(a89,a89),f906(a89,f899(x45302))),f317(f317(f7(x45301,a89,f906(f905(a89,a89),f906(a89,f899(x45302)))),f317(f317(f7(x45301,a89,f906(a89,f906(f905(a89,a89),f906(a89,f899(x45302))))),x45307),x45304)),x45305)),x45306)),f201(x45301,x45302,x45303,x45307,x45304,x45305,x45306)) % 169.26/169.08 [4521]E(f185(x45211,x45212,f317(f317(f317(x45213,x45214),x45215),x45216),f317(f317(f7(x45211,f905(a89,a89),f906(a89,f899(f901(x45212)))),f317(f317(f7(x45211,a89,f906(f905(a89,a89),f906(a89,f899(f901(x45212))))),f317(f317(f7(x45211,a89,f906(a89,f906(f905(a89,a89),f906(a89,f899(f901(x45212)))))),x45217),x45214)),x45215)),x45216)),f317(f317(f317(f195(x45211,x45212,x45213,x45217),x45214),x45215),x45216)) % 169.26/169.08 [4532]E(f186(x45321,x45322,f317(f317(f317(x45323,x45324),x45325),x45326),f317(f317(f7(x45321,f905(a89,a89),f906(a89,f899(f901(x45322)))),f317(f317(f7(x45321,a89,f906(f905(a89,a89),f906(a89,f899(f901(x45322))))),f317(f317(f7(x45321,a89,f906(a89,f906(f905(a89,a89),f906(a89,f899(f901(x45322)))))),x45327),x45324)),x45325)),x45326)),f197(x45321,x45322,x45323,x45327,x45324,x45325,x45326)) % 169.26/169.08 [4431]E(f317(f248(x44311,x44312,x44313,x44314,x44315,x44316),f317(f317(f242(x44311,x44313),x44317),x44318)),f317(f317(f242(x44312,x44314),f317(x44315,x44317)),f317(x44316,x44318))) % 169.26/169.08 [4534]E(f317(f317(f144(f905(x45341,x45342),f905(x45343,x45344)),f317(f247(x45341,x45342,f905(x45343,x45344)),f317(f317(f7(x45341,f906(x45342,x45344),f906(x45342,f905(x45343,x45344))),f317(f317(f8(f906(x45344,f905(x45343,x45344)),f906(f906(x45342,x45344),f906(x45342,f905(x45343,x45344))),x45341),f8(x45344,f905(x45343,x45344),x45342)),f317(f317(f8(x45343,f906(x45344,f905(x45343,x45344)),x45341),f242(x45343,x45344)),x45345))),x45346))),f317(f317(f171(x45341,x45342),x45347),x45348)),f317(f317(f171(x45343,x45344),f317(f317(f144(x45341,x45343),x45345),x45347)),f317(f317(f144(x45342,x45344),x45346),x45348))) % 169.26/169.08 [4537]E(f317(f317(f144(f905(x45371,x45372),x45373),f317(f247(x45371,x45372,x45373),f317(f317(f8(f906(x45372,f905(x45371,x45374)),f906(x45372,x45373),x45371),f317(f8(f905(x45371,x45374),x45373,x45372),x45375)),f317(f317(f7(x45371,f906(x45372,x45374),f906(x45372,f905(x45371,x45374))),f317(f317(f8(f906(x45374,f905(x45371,x45374)),f906(f906(x45372,x45374),f906(x45372,f905(x45371,x45374))),x45371),f8(x45374,f905(x45371,x45374),x45372)),f242(x45371,x45374))),x45376)))),f317(f317(f171(x45371,x45372),x45377),x45378)),f317(f317(f144(f905(x45371,x45374),x45373),x45375),f317(f317(f171(x45371,x45374),x45377),f317(f317(f144(x45372,x45374),x45376),x45378)))) % 169.26/169.08 [4465]E(f317(f317(f144(f905(x44651,x44652),x44653),f317(f247(x44651,x44652,x44653),f317(f317(f8(f906(x44652,f905(x44654,x44652)),f906(x44652,x44653),x44651),f317(f8(f905(x44654,x44652),x44653,x44652),x44655)),f317(f317(f8(x44654,f906(x44652,f905(x44654,x44652)),x44651),f242(x44654,x44652)),x44656)))),f317(f317(f171(x44651,x44652),x44657),x44658)),f317(f317(f144(f905(x44654,x44652),x44653),x44655),f317(f317(f171(x44654,x44652),f317(f317(f144(x44651,x44654),x44656),x44657)),x44658))) % 169.26/169.08 [4422]E(f317(f317(f247(x44221,x44222,x44223),f317(f317(f8(f906(x44222,f905(x44224,x44225)),f906(x44222,x44223),x44221),f317(f8(f905(x44224,x44225),x44223,x44222),f317(f247(x44224,x44225,x44223),x44226))),x44227)),x44228),f317(f317(f247(x44224,x44225,x44223),x44226),f317(f317(f247(x44221,x44222,f905(x44224,x44225)),x44227),x44228))) % 169.26/169.08 [4538]E(f317(f317(f34(f905(x45381,x45382),f906(f905(x45383,x45384),a894)),f317(f317(f244(x45381,x45382),x45385),f317(f16(f906(x45382,a894),x45381),x45386))),f317(f247(x45381,x45382,f906(f905(x45383,x45384),a894)),f317(f317(f7(x45381,f906(x45382,f906(x45383,f906(x45384,a894))),f906(x45382,f906(f905(x45383,x45384),a894))),f317(f317(f8(f906(f906(x45383,f906(x45384,a894)),f906(f905(x45383,x45384),a894)),f906(f906(x45382,f906(x45383,f906(x45384,a894))),f906(x45382,f906(f905(x45383,x45384),a894))),x45381),f8(f906(x45383,f906(x45384,a894)),f906(f905(x45383,x45384),a894),x45382)),f317(f317(f8(f906(x45383,a894),f906(f906(x45383,f906(x45384,a894)),f906(f905(x45383,x45384),a894)),x45381),f244(x45383,x45384)),x45387))),f317(f317(f8(f906(x45384,a894),f906(x45383,f906(x45384,a894)),x45382),f16(f906(x45384,a894),x45383)),x45388)))),f317(f317(f244(x45383,x45384),f317(f317(f34(x45381,f906(x45383,a894)),x45385),x45387)),f317(f16(f906(x45384,a894),x45383),f317(f317(f34(x45382,f906(x45384,a894)),x45386),x45388)))) % 169.26/169.08 [4479]E(f317(f317(f249(x44791,x44792,x44793,x44794),f317(f317(f249(x44791,x44795,x44796,f905(x44792,x44793)),x44797),x44798)),x44799),f317(f317(f249(x44791,x44795,x44796,x44794),x44797),f317(f317(f7(x44795,f906(x44792,f906(x44793,x44794)),f906(x44796,x44794)),f317(f317(f8(f906(x44796,f905(x44792,x44793)),f906(f906(x44792,f906(x44793,x44794)),f906(x44796,x44794)),x44795),f249(x44796,x44792,x44793,x44794)),x44798)),x44799))) % 169.26/169.08 [4508]E(f317(f67(f905(x45081,x45082),f905(x45083,x45084),f905(x45085,x45086),f248(x45081,x45083,x45082,x45084,x45087,x45088)),f248(x45085,x45081,x45086,x45082,x45089,x450810)),f248(x45085,x45083,x45086,x45084,f317(f67(x45081,x45083,x45085,x45087),x45089),f317(f67(x45082,x45084,x45086,x45088),x450810))) % 169.26/169.08 [4514]E(f317(f248(x45141,x45142,x45143,x45144,x45145,x45146),f317(f248(x45147,x45141,x45148,x45143,x45149,x451410),x451411)),f317(f248(x45147,x45142,x45148,x45144,f317(f67(x45141,x45142,x45147,x45145),x45149),f317(f67(x45143,x45144,x45148,x45146),x451410)),x451411)) % 169.26/169.08 [4641]~P5(x46411)+P5(f901(x46411)) % 169.26/169.08 [4642]~P63(x46421)+P63(f901(x46421)) % 169.26/169.08 [4643]~P107(x46431)+P107(f898(x46431)) % 169.26/169.08 [4646]~P127(x46461)+~E(f72(x46461),f2(x46461)) % 169.26/169.08 [4648]~E(x46481,f2(a89))+E(f317(a22,x46481),f2(a1)) % 169.26/169.08 [4649]~E(x46491,f2(a1))+E(f76(a1,x46491),f2(a1)) % 169.26/169.08 [4655]~P144(x46551)+P30(x46551,f2(x46551)) % 169.26/169.08 [4657]~P4(x46571)+P16(x46571,f103(x46571)) % 169.26/169.08 [4666]P1(x46661)+P1(f317(a312,x46661)) % 169.26/169.08 [4720]~P144(x47201)+~P30(x47201,f72(x47201)) % 169.26/169.08 [4757]~P1(x47571)+~P1(f317(a312,x47571)) % 169.26/169.08 [4778]E(f317(a95,x47781),f2(a897))+~P1(f317(a183,x47781)) % 169.26/169.08 [4844]~P99(x48441)+P17(x48441,x48441,f75(x48441)) % 169.26/169.08 [4845]~P4(x48451)+P17(x48451,x48451,f228(x48451)) % 169.26/169.08 [4846]~P4(x48461)+P17(x48461,x48461,f223(x48461)) % 169.26/169.08 [4847]~P100(x48471)+P17(x48471,x48471,f91(x48471)) % 169.26/169.08 [4848]~P106(x48481)+P17(x48481,x48481,f92(x48481)) % 169.26/169.08 [4849]~P74(x48491)+P19(x48491,x48491,f75(x48491)) % 169.26/169.08 [4652]~E(x46521,f2(a897))+E(f317(f90(a1),x46521),f2(a1)) % 169.26/169.08 [4659]~P95(x46591)+E(f317(f94(x46591),a77),f2(x46591)) % 169.26/169.08 [4662]~E(f516(x46621),f2(a897))+E(f317(f155(a897),x46621),f2(a897)) % 169.26/169.08 [4663]~P3(x46631)+E(f226(x46631,f224(x46631)),f228(x46631)) % 169.26/169.08 [4664]~P3(x46641)+E(f227(x46641,f224(x46641)),f223(x46641)) % 169.26/169.08 [4665]~P92(x46651)+E(f76(x46651,f2(x46651)),f2(x46651)) % 169.26/169.08 [4674]~P144(x46741)+E(f317(f90(x46741),f72(a897)),f72(x46741)) % 169.26/169.08 [4675]~P144(x46751)+E(f317(f90(x46751),f2(a897)),f2(x46751)) % 169.26/169.08 [4676]~P128(x46761)+E(f317(f93(x46761),f72(a1)),f72(x46761)) % 169.26/169.08 [4677]~P128(x46771)+E(f317(f93(x46771),f2(a1)),f2(x46771)) % 169.26/169.08 [4678]E(x46781,f2(a897))+~E(f317(f90(a1),x46781),f2(a1)) % 169.26/169.08 [4714]~P98(x47141)+E(f317(f73(x47141),f178(x47141)),f232(x47141)) % 169.26/169.08 [4715]~P78(x47151)+E(f317(f73(x47151),f2(x47151)),f2(x47151)) % 169.26/169.08 [4716]~P98(x47161)+E(f317(f73(x47161),f232(x47161)),f178(x47161)) % 169.26/169.08 [4717]~P111(x47171)+E(f317(f70(x47171),f72(x47171)),f72(x47171)) % 169.26/169.08 [4718]~P89(x47181)+E(f317(f70(x47181),f2(x47181)),f2(x47181)) % 169.26/169.08 [4719]~P83(x47191)+E(f317(f155(x47191),f103(x47191)),f2(x47191)) % 169.26/169.08 [4737]~P38(x47371)+P42(f317(f162(a1),x47371)) % 169.26/169.08 [4762]~P95(x47621)+E(f317(f73(x47621),f72(x47621)),f317(f94(x47621),a87)) % 169.26/169.08 [4777]~P95(x47771)+P30(x47771,f317(f94(x47771),a77)) % 169.26/169.08 [4803]P38(x48031)+~P42(f317(f162(a1),x48031)) % 169.26/169.08 [4850]E(f317(f90(a1),f317(a95,x48501)),x48501)+P1(f317(a183,x48501)) % 169.26/169.08 [4920]~P115(x49201)+E(f235(x49201,f72(x49201),f75(x49201)),f234(x49201)) % 169.26/169.08 [4953]~P95(x49531)+~P30(x49531,f317(f94(x49531),a87)) % 169.26/169.08 [5106]E(f317(f70(a1),x51061),x51061)+P1(f317(f317(f225(a1),x51061),f2(a1))) % 169.26/169.08 [5124]~E(f317(a95,x51241),f2(a897))+P1(f317(f317(f224(a1),x51241),f2(a1))) % 169.26/169.08 [5190]~P1(f317(a183,x51901))+P1(f317(f317(f225(a1),x51901),f2(a1))) % 169.26/169.08 [5230]~P110(x52301)+P1(f317(f317(f224(x52301),f2(x52301)),f72(x52301))) % 169.26/169.08 [5231]~P128(x52311)+P1(f317(f317(f319(x52311),f72(x52311)),f100(x52311))) % 169.26/169.08 [5232]~P144(x52321)+P1(f317(f317(f319(x52321),f72(x52321)),f176(x52321))) % 169.26/169.08 [5233]~P128(x52331)+P1(f317(f317(f319(x52331),f2(x52331)),f100(x52331))) % 169.26/169.08 [5234]~P144(x52341)+P1(f317(f317(f319(x52341),f2(x52341)),f176(x52341))) % 169.26/169.08 [5235]~P110(x52351)+P1(f317(f317(f225(x52351),f2(x52351)),f72(x52351))) % 169.26/169.08 [5287]E(x52871,f72(a897))+~P1(f317(f317(f277(a897),x52871),f72(a897))) % 169.26/169.08 [5288]E(x52881,f2(a897))+~P1(f317(f317(f224(a897),x52881),f2(a897))) % 169.26/169.08 [5330]E(f317(a95,x53301),f2(a897))+~P1(f317(f317(f224(a1),x53301),f2(a1))) % 169.26/169.08 [5388]P1(f317(a183,x53881))+~P1(f317(f317(f225(a1),x53881),f2(a1))) % 169.26/169.08 [5395]~P4(x53951)+P19(x53951,f898(x53951),f138(x53951,x53951,f5(x53951))) % 169.26/169.08 [5413]P42(x54131)+~P1(f317(f317(f224(a1),f2(a1)),f798(x54131))) % 169.26/169.08 [5418]E(f317(f70(a1),x54181),f317(f73(a1),x54181))+~P1(f317(f317(f225(a1),x54181),f2(a1))) % 169.26/169.08 [5590]~P110(x55901)+~P1(f317(f317(f224(x55901),f72(x55901)),f2(x55901))) % 169.26/169.08 [5591]~P110(x55911)+~P1(f317(f317(f225(x55911),f72(x55911)),f2(x55911))) % 169.26/169.08 [5607]~E(x56071,f2(a897))+P1(f317(f317(f224(a1),f317(f90(a1),x56071)),f2(a1))) % 169.26/169.08 [5608]~E(x56081,f2(a1))+P1(f317(f317(f225(a1),f317(f70(a1),x56081)),f72(a1))) % 169.26/169.08 [5730]~P83(x57301)+E(f132(x57301,x57301,f74(x57301),f2(x57301)),f155(x57301)) % 169.26/169.08 [5913]~P97(x59131)+P27(a897,x59131,f90(x59131),f232(f906(a897,a894))) % 169.26/169.08 [6120]E(x61201,f2(a897))+~P1(f317(f317(f224(a1),f317(f90(a1),x61201)),f2(a1))) % 169.26/169.08 [6121]E(x61211,f2(a1))+~P1(f317(f317(f225(a1),f317(f70(a1),x61211)),f72(a1))) % 169.26/169.08 [6944]~P1(f317(f317(f225(a1),x69441),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x69441),x69441)),f2(a1))) % 169.26/169.08 [7506]P1(f317(f317(f225(a1),x75061),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x75061),x75061)),f2(a1))) % 169.26/169.08 [8057]E(x80571,f317(a3,f2(a897)))+P1(f317(f317(f225(a897),f317(f317(f23(a897),f317(a20,x80571)),f317(a102,f2(a897)))),f317(a20,x80571))) % 169.26/169.08 [8823]~P1(f317(f317(f225(a1),x88231),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88231),x88231)),a87)),f2(a1))) % 169.26/169.08 [8920]~P1(f317(f317(f225(a1),x89201),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x89201)),x89201)),f2(a1))) % 169.26/169.08 [9239]P1(f317(f317(f225(a1),x92391),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92391),x92391)),a87)),f2(a1))) % 169.26/169.08 [9301]P1(f317(f317(f225(a1),x93011),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f74(a1),f72(a1)),x93011)),x93011)),f2(a1))) % 169.26/169.08 [4751]~E(a77,x47511)+E(f317(f317(f74(a1),x47511),x47511),a77) % 169.26/169.08 [4752]~E(x47521,a77)+E(f317(f317(f74(a1),x47521),x47521),a77) % 169.26/169.08 [4763]E(x47631,f2(a1))+E(f317(f317(f30(a1),x47631),x47631),f72(a1)) % 169.26/169.08 [4897]E(x48971,a77)+~E(f317(f317(f74(a1),x48971),x48971),a77) % 169.26/169.08 [4898]E(a77,x48981)+~E(f317(f317(f74(a1),x48981),x48981),a77) % 169.26/169.08 [4910]~P8(x49101)+E(f32(x49101,f178(f906(x49101,a894))),f232(x49101)) % 169.26/169.08 [4911]~P8(x49111)+E(f32(x49111,f232(f906(x49111,a894))),f178(x49111)) % 169.26/169.08 [4912]~P8(x49121)+E(f31(x49121,f178(f906(x49121,a894))),f178(x49121)) % 169.26/169.08 [4913]~P8(x49131)+E(f31(x49131,f232(f906(x49131,a894))),f232(x49131)) % 169.26/169.08 [4914]~P4(x49141)+E(f129(x49141,f178(f906(x49141,a894))),f103(x49141)) % 169.26/169.08 [5061]E(x50611,f2(a897))+P1(f317(f317(f225(a897),f2(a897)),x50611)) % 169.26/169.08 [5081]~P9(x50811)+P1(f317(f317(f224(a1),f2(a1)),x50811)) % 169.26/169.08 [5115]~E(f317(f94(a897),x51151),f2(a897))+P1(f317(f317(f224(a1),x51151),a77)) % 169.26/169.08 [5120]P42(x51201)+P1(f317(f317(f319(a1),f798(x51201)),x51201)) % 169.26/169.08 [5121]E(x51211,f317(a3,f2(a897)))+P1(f317(f317(f224(a89),f72(a89)),x51211)) % 169.26/169.08 [5162]P1(f317(a183,x51621))+P1(f317(f317(f224(a1),f2(a1)),x51621)) % 169.26/169.08 [5212]E(f317(f90(a1),f317(a95,x52121)),f2(a1))+P1(f317(f317(f224(a1),f2(a1)),x52121)) % 169.26/169.08 [5269]E(f317(f90(a1),f317(f94(a897),x52691)),f317(f94(a1),x52691))+P1(f317(a183,f317(f94(a1),x52691))) % 169.26/169.08 [5294]E(f317(f94(a897),x52941),f2(a897))+~P1(f317(a183,f317(f94(a1),x52941))) % 169.26/169.08 [5295]E(f317(f94(a897),x52951),f2(a897))+~P1(f317(f317(f224(a1),x52951),a77)) % 169.26/169.08 [5327]P9(x53271)+~P1(f317(f317(f224(a1),f2(a1)),x53271)) % 169.26/169.08 [5383]P149(f222(a895,f33(x53831)))+~P1(f317(f317(f319(a896),x53831),a907)) % 169.26/169.08 [5398]E(f317(a102,f535(x53981)),x53981)+~P1(f317(f317(f225(a897),f2(a897)),x53981)) % 169.26/169.08 [5407]E(f317(a102,f317(f94(a897),x54071)),f72(a897))+~P1(f317(a183,f317(f94(a1),x54071))) % 169.26/169.08 [5414]E(f317(f90(a1),f323(x54141)),x54141)+~P1(f317(f317(f225(a1),f2(a1)),x54141)) % 169.26/169.08 [5421]~E(x54211,f317(a3,f2(a897)))+~P1(f317(f317(f224(a89),f72(a89)),x54211)) % 169.26/169.08 [5428]E(f317(f90(a1),f317(f94(a897),x54281)),f2(a1))+~P1(f317(a183,f317(f94(a1),x54281))) % 169.26/169.08 [5454]E(f317(f155(a897),x54541),f2(a897))+P1(f317(f317(f319(a897),f516(x54541)),f317(f162(a897),x54541))) % 169.26/169.08 [5475]E(f317(f90(a1),f317(a95,x54751)),x54751)+~P1(f317(f317(f224(a1),f2(a1)),x54751)) % 169.26/169.08 [5483]~P1(f317(a183,x54831))+~P1(f317(f317(f224(a1),f2(a1)),x54831)) % 169.26/169.08 [5583]E(f317(f317(f74(a897),f72(a897)),f317(f94(a897),x55831)),f72(a897))+~P1(f317(f317(f225(a1),x55831),a77)) % 169.26/169.08 [5649]E(x56491,f2(a897))+~P1(f317(f317(f225(a897),x56491),f317(a102,f2(a897)))) % 169.26/169.08 [5671]E(x56711,f317(a102,f2(a897)))+~P1(f317(f317(f277(a897),x56711),f317(a102,f2(a897)))) % 169.26/169.08 [5689]E(f317(f317(f23(a897),f317(f94(a897),x56891)),f72(a897)),f2(a897))+~P1(f317(f317(f224(a1),x56891),a77)) % 169.26/169.08 [5690]E(f317(f317(f74(a897),f317(f94(a897),x56901)),f72(a897)),f72(a897))+~P1(f317(f317(f225(a1),x56901),a77)) % 169.26/169.08 [5702]~P42(x57021)+E(f317(f29(a897),f317(f300(a1,a897,a95),x57021)),f317(f29(a1),x57021)) % 169.26/169.08 [5731]~P4(x57311)+E(f227(x57311,f317(f7(x57311,x57311,a894),f224(x57311))),f228(x57311)) % 169.26/169.08 [5732]~P4(x57321)+E(f226(x57321,f317(f7(x57321,x57321,a894),f224(x57321))),f223(x57321)) % 169.26/169.08 [5742]E(f40(a897,f317(a102,f2(a897)),f317(f94(a897),x57421)),f317(a102,f2(a897)))+~P1(f317(a183,f317(f94(a1),x57421))) % 169.26/169.08 [5751]~P1(f317(f317(f225(a1),f2(a1)),x57511))+P1(f317(f317(f224(a1),f72(a1)),x57511)) % 169.26/169.08 [5752]P1(f317(f317(f225(a1),f2(a1)),x57521))+~P1(f317(f317(f224(a1),f72(a1)),x57521)) % 169.26/169.08 [5763]E(f317(a102,f317(f317(f23(a897),x57631),f72(a897))),x57631)+~P1(f317(f317(f225(a897),f2(a897)),x57631)) % 169.26/169.08 [5819]P1(f317(f317(f225(a897),f2(a897)),f323(x58191)))+~P1(f317(f317(f225(a1),f2(a1)),x58191)) % 169.26/169.08 [5880]E(f40(a1,f317(f94(a1),a87),x58801),f317(f317(f23(a1),x58801),f72(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x58801)) % 169.26/169.08 [5926]~P1(f317(f317(f225(a1),a77),x59261))+P1(f317(f317(f225(a897),f2(a897)),f317(f94(a897),x59261))) % 169.26/169.08 [5931]E(f317(a20,f788(x59311)),x59311)+~P1(f317(f317(f319(a897),x59311),f232(f906(a897,a894)))) % 169.26/169.08 [5984]P1(f317(f317(f225(a897),f2(a897)),f317(a95,x59841)))+~P1(f317(f317(f225(a1),f2(a1)),x59841)) % 169.26/169.08 [6035]~P1(f317(f317(f225(a897),f2(a897)),x60351))+P1(f317(f317(f225(a1),f2(a1)),f317(f90(a1),x60351))) % 169.26/169.08 [6071]~P1(f317(f317(f225(a897),f2(a897)),f317(a95,x60711)))+P1(f317(f317(f225(a1),f2(a1)),x60711)) % 169.26/169.08 [6086]~P42(x60861)+E(f317(f300(a897,a1,f90(a1)),f317(f300(a1,a897,a95),x60861)),x60861) % 169.26/169.08 [6099]P1(f317(f317(f225(a1),a77),x60991))+~P1(f317(f317(f225(a897),f2(a897)),f317(f94(a897),x60991))) % 169.26/169.08 [6158]P1(f317(f317(f225(a897),f2(a897)),x61581))+~P1(f317(f317(f225(a1),f2(a1)),f317(f90(a1),x61581))) % 169.26/169.08 [6276]E(f317(f300(a897,a1,f90(a1)),f317(f272(a897),f317(a95,x62761))),f317(f292(a1,f2(a1)),x62761))+~P1(f317(f317(f224(a1),f2(a1)),x62761)) % 169.26/169.08 [6294]~P110(x62941)+P1(f317(f317(f225(x62941),f2(x62941)),f317(f317(f74(x62941),f72(x62941)),f72(x62941)))) % 169.26/169.08 [6345]P1(f317(f317(f225(a897),f317(a102,f2(a897))),f317(a95,x63451)))+~P1(f317(f317(f225(a1),f72(a1)),x63451)) % 169.26/169.08 [6447]E(x64471,f2(a1))+P1(f317(f44(f2(a1),x64471),f317(f317(f242(a1,a1),f2(a1)),f2(a1)))) % 169.26/169.08 [6621]~P1(f317(f317(f225(a897),f317(a102,f2(a897))),f317(a95,x66211)))+P1(f317(f317(f225(a1),f72(a1)),x66211)) % 169.26/169.08 [7061]~P117(x70611)+P39(x70611,f317(f252(f905(x70611,x70611)),f317(f247(x70611,x70611,a894),f225(x70611)))) % 169.26/169.08 [5636]E(f317(f94(a897),f317(f317(f23(a1),x56361),a87)),f317(a102,f317(f94(a897),x56361)))+P1(f317(a183,f317(f94(a1),x56361))) % 169.26/169.08 [5652]~P38(x56521)+E(f317(f317(f144(a897,a1),f90(a1)),f317(f317(f144(a1,a897),a95),x56521)),x56521) % 169.26/169.08 [5769]E(f317(f73(a1),f317(f90(a1),f317(a102,f324(x57691)))),x57691)+~P1(f317(f317(f225(a1),x57691),f2(a1))) % 169.26/169.08 [5779]E(f317(f317(f74(a897),f72(a897)),f317(f94(a897),x57791)),f317(f94(a897),f317(f317(f23(a1),x57791),a87)))+P1(f317(f317(f225(a1),x57791),a77)) % 169.26/169.08 [5821]E(f317(f317(f30(a1),f317(f94(a1),a87)),x58211),f317(f94(a1),a87))+~P1(f317(f317(f225(a1),f2(a1)),x58211)) % 169.26/169.08 [5922]E(f317(f317(f23(a897),f317(f94(a897),x59221)),f72(a897)),f317(f94(a897),f317(f317(f74(a1),x59221),a87)))+P1(f317(f317(f224(a1),x59221),a77)) % 169.26/169.08 [5923]E(f317(f317(f74(a897),f317(f94(a897),x59231)),f72(a897)),f317(f94(a897),f317(f317(f23(a1),x59231),a87)))+P1(f317(f317(f225(a1),x59231),a77)) % 169.26/169.08 [5969]E(f317(a95,f317(f317(f74(a1),f72(a1)),x59691)),f317(a102,f317(a95,x59691)))+~P1(f317(f317(f224(a1),f2(a1)),x59691)) % 169.26/169.08 [6006]E(f317(a102,f317(f317(f23(a897),x60061),f317(a102,f2(a897)))),x60061)+~P1(f317(f317(f225(a897),f2(a897)),x60061)) % 169.26/169.08 [6225]E(f40(a897,f317(a102,f2(a897)),f317(f94(a897),x62251)),f317(a95,f40(a1,f72(a1),f317(f94(a1),x62251))))+P1(f317(a183,f317(f94(a1),x62251))) % 169.26/169.08 [6269]~P1(f317(f317(f224(a1),a77),x62691))+P1(f317(f317(f224(a1),a77),f317(f317(f74(a1),x62691),x62691))) % 169.26/169.08 [6270]~P1(f317(f317(f225(a1),a87),x62701))+P1(f317(f317(f224(a1),a87),f317(f317(f74(a1),x62701),x62701))) % 169.26/169.08 [6271]~P1(f317(f317(f225(a1),a77),x62711))+P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),x62711),x62711))) % 169.26/169.08 [6272]~P1(f317(f317(f225(a1),a87),x62721))+P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),x62721),x62721))) % 169.26/169.08 [6461]~P1(f317(f28(x64611),f232(f906(x64611,a894))))+P1(f317(f28(f901(x64611)),f232(f906(f901(x64611),a894)))) % 169.26/169.08 [6548]~P1(f317(f317(f224(a1),f2(a1)),x65481))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f74(a1),f72(a1)),x65481))) % 169.26/169.08 [6555]E(f317(f241(a1,a1),f42(f72(a1),f317(f94(a1),x65551))),f317(f317(f30(a1),f72(a1)),f317(f94(a1),x65551)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x65551))) % 169.26/169.08 [6580]E(f317(f246(a1,a1),f42(f72(a1),f317(f94(a1),x65801))),f40(a1,f72(a1),f317(f94(a1),x65801)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x65801))) % 169.26/169.08 [6592]P1(f317(f28(x65921),f232(f906(x65921,a894))))+~P1(f317(f28(f901(x65921)),f232(f906(f901(x65921),a894)))) % 169.26/169.08 [6622]P1(f317(f317(f224(a1),a77),x66221))+~P1(f317(f317(f224(a1),a77),f317(f317(f74(a1),x66221),x66221))) % 169.26/169.08 [6623]P1(f317(f317(f225(a1),a77),x66231))+~P1(f317(f317(f225(a1),a77),f317(f317(f74(a1),x66231),x66231))) % 169.26/169.08 [6624]P1(f317(f317(f225(a1),a87),x66241))+~P1(f317(f317(f224(a1),a87),f317(f317(f74(a1),x66241),x66241))) % 169.26/169.08 [6625]P1(f317(f317(f225(a1),a87),x66251))+~P1(f317(f317(f225(a1),a87),f317(f317(f74(a1),x66251),x66251))) % 169.26/169.08 [6948]~P1(f317(f28(x69481),f232(f906(x69481,a894))))+P1(f317(f317(f225(a897),f2(a897)),f317(f29(x69481),f232(f906(x69481,a894))))) % 169.26/169.08 [7544]P1(f317(f28(a897),x75441))+~P1(f317(f28(a1),f317(f300(a897,a1,f90(a1)),x75441))) % 169.26/169.08 [5559]~E(a87,x55591)+E(f317(f317(f23(a1),f317(f317(f74(a1),x55591),x55591)),a87),a87) % 169.26/169.08 [5560]~E(x55601,a87)+E(f317(f317(f23(a1),f317(f317(f74(a1),x55601),x55601)),a87),a87) % 169.26/169.08 [6094]E(x60941,a87)+~E(f317(f317(f23(a1),f317(f317(f74(a1),x60941),x60941)),a87),a87) % 169.26/169.08 [6095]E(a87,x60951)+~E(f317(f317(f23(a1),f317(f317(f74(a1),x60951),x60951)),a87),a87) % 169.26/169.08 [6517]~E(f317(f94(a897),x65171),f2(a897))+P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x65171),a87)))) % 169.26/169.08 [6878]~P1(f317(a183,f317(f94(a1),x68781)))+P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x68781),x68781)))) % 169.26/169.08 [6879]~P1(f317(f317(f224(a1),x68791),a77))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x68791),x68791)),a77)) % 169.26/169.08 [6880]~P1(f317(f317(f224(a1),x68801),a87))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x68801),x68801)),a87)) % 169.26/169.08 [6881]~P1(f317(f317(f225(a1),x68811),a77))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68811),x68811)),a77)) % 169.26/169.08 [6882]~P1(f317(f317(f224(a1),x68821),a87))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68821),x68821)),a87)) % 169.26/169.08 [7207]E(f317(f94(a897),x72071),f2(a897))+~P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x72071),a87)))) % 169.26/169.08 [7459]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x74591)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f74(a1),x74591),x74591)))) % 169.26/169.08 [7460]P1(f317(a183,f317(f94(a1),x74601)))+~P1(f317(a183,f317(f94(a1),f317(f317(f74(a1),x74601),x74601)))) % 169.26/169.08 [7461]P1(f317(f317(f224(a1),x74611),a77))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x74611),x74611)),a77)) % 169.26/169.08 [7462]P1(f317(f317(f224(a1),x74621),a87))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x74621),x74621)),a87)) % 169.26/169.08 [7463]P1(f317(f317(f224(a1),x74631),a87))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74631),x74631)),a87)) % 169.26/169.08 [7464]P1(f317(f317(f225(a1),x74641),a77))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74641),x74641)),a77)) % 169.26/169.08 [7826]E(f317(a98,f477(x78261)),x78261)+~P1(f317(f317(f319(f906(f905(a897,a897),a894)),x78261),a88)) % 169.26/169.08 [6434]~P95(x64341)+E(f317(f94(x64341),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f72(x64341)) % 169.26/169.08 [6928]~P1(f317(a183,f317(f94(a1),x69281)))+E(f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x69281),x69281)),a87)),f2(a897)) % 169.26/169.08 [8002]~P1(f317(f317(f225(a1),f317(f94(a1),x80021)),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f45(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f94(a1),x80021))))),f317(f317(f30(a1),f72(a1)),f317(f94(a1),x80021))) % 169.26/169.08 [8015]~P1(f317(f317(f225(a1),f317(f94(a1),x80151)),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f45(f317(f73(a1),f72(a1)),f317(f73(a1),f317(f94(a1),x80151))))),f40(a1,f72(a1),f317(f94(a1),x80151))) % 169.26/169.08 [8064]~P1(f317(f317(f224(a1),a77),x80641))+P1(f317(f317(f224(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x80641),x80641)),a87))) % 169.26/169.08 [8065]~P1(f317(f317(f224(a1),a87),x80651))+P1(f317(f317(f224(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x80651),x80651)),a87))) % 169.26/169.08 [8066]~P1(f317(f317(f224(a1),a77),x80661))+P1(f317(f317(f225(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x80661),x80661)),a87))) % 169.26/169.08 [8067]~P1(f317(f317(f225(a1),a87),x80671))+P1(f317(f317(f225(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x80671),x80671)),a87))) % 169.26/169.08 [8365]~P95(x83651)+~P30(x83651,f317(f94(x83651),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))) % 169.26/169.08 [8548]P1(f317(f317(f224(a1),a77),x85481))+~P1(f317(f317(f224(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x85481),x85481)),a87))) % 169.26/169.08 [8549]P1(f317(f317(f224(a1),a77),x85491))+~P1(f317(f317(f225(a1),a77),f317(f317(f23(a1),f317(f317(f74(a1),x85491),x85491)),a87))) % 169.26/169.08 [8550]P1(f317(f317(f224(a1),a87),x85501))+~P1(f317(f317(f224(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x85501),x85501)),a87))) % 169.26/169.08 [8551]P1(f317(f317(f225(a1),a87),x85511))+~P1(f317(f317(f225(a1),a87),f317(f317(f23(a1),f317(f317(f74(a1),x85511),x85511)),a87))) % 169.26/169.08 [8870]E(f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x88701),x88701)),a87)),f317(f317(f80(a897,a897),f317(f94(a897),x88701)),f317(f317(f8(a897,a897,a897),a102),f317(f317(f18(a897,a897,a897),f74(a897)),f5(a897)))))+P1(f317(a183,f317(f94(a1),x88701))) % 169.26/169.08 [9740]E(x97401,f178(f906(f905(a897,a897),a894)))+P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),x97401),f178(f906(f905(a897,a897),a894)))),a63)) % 169.26/169.08 [8797]~P1(f317(a183,f317(f94(a1),x87971)))+P1(f317(a183,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87971),x87971)),a87)))) % 169.26/169.08 [8798]~P1(f317(f317(f225(a1),x87981),a77))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87981),x87981)),a87)),a77)) % 169.26/169.08 [8799]~P1(f317(f317(f224(a1),x87991),a87))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x87991),x87991)),a87)),a87)) % 169.26/169.08 [8800]~P1(f317(f317(f225(a1),x88001),a77))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88001),x88001)),a87)),a77)) % 169.26/169.08 [8801]~P1(f317(f317(f225(a1),x88011),a87))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88011),x88011)),a87)),a87)) % 169.26/169.08 [8911]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x89111)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x89111),x89111)),a87)))) % 169.26/169.08 [9069]~P95(x90691)+E(f317(f317(f74(x90691),f72(x90691)),f72(x90691)),f317(f94(x90691),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)))) % 169.26/169.08 [9223]P1(f317(a183,f317(f94(a1),x92231)))+~P1(f317(a183,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92231),x92231)),a87)))) % 169.26/169.08 [9224]P1(f317(f317(f224(a1),x92241),a87))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92241),x92241)),a87)),a87)) % 169.26/169.08 [9225]P1(f317(f317(f225(a1),x92251),a77))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92251),x92251)),a87)),a77)) % 169.26/169.08 [9226]P1(f317(f317(f225(a1),x92261),a77))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92261),x92261)),a87)),a77)) % 169.26/169.08 [9227]P1(f317(f317(f225(a1),x92271),a87))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92271),x92271)),a87)),a87)) % 169.26/169.08 [9785]~P1(f317(f28(f905(a897,a897)),x97851))+P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),f178(f906(f905(a897,a897),a894))),x97851)),a64)) % 169.26/169.08 [9561]~P144(x95611)+E(f317(f317(f234(x95611),f72(x95611)),f317(f94(a897),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(x95611)) % 169.26/169.08 [9562]~P144(x95621)+E(f317(f317(f234(x95621),f2(x95621)),f317(f94(a897),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(x95621)) % 169.26/169.08 [10009]~P1(f317(f317(f225(a897),f72(a897)),x100091))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f30(a897),x100091),f317(f94(a897),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)))))) % 169.26/169.08 [10015]~P1(f317(f317(f225(a897),f2(a897)),x100151))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f30(a897),f317(f317(f74(a897),x100151),f72(a897))),f317(f94(a897),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)))))) % 169.26/169.08 [10053]~E(f40(a897,x100531,f317(f94(a897),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(a897))+P1(f317(f317(f225(a897),f2(a897)),f40(a897,x100531,f317(f94(a897),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)))))) % 169.26/169.08 [10083]E(f40(a897,x100831,f317(f94(a897),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(a897))+~P1(f317(f317(f225(a897),f2(a897)),f40(a897,x100831,f317(f94(a897),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)))))) % 169.26/169.08 [4683]~P10(x46831,x46832)+P45(x46831,x46832) % 169.26/169.08 [4684]~P39(x46841,x46842)+P60(x46841,x46842) % 169.26/169.08 [4685]~P46(x46851,x46852)+P60(x46851,x46852) % 169.26/169.08 [4687]~P10(x46871,x46872)+P52(x46871,x46872) % 169.26/169.08 [4689]~P18(x46891,x46892)+P52(x46891,x46892) % 169.26/169.08 [4691]~P10(x46911,x46912)+P53(x46911,x46912) % 169.26/169.08 [4693]~P18(x46931,x46932)+P53(x46931,x46932) % 169.26/169.08 [4694]~P10(x46941,x46942)+P18(x46941,x46942) % 169.26/169.08 [4644]~E(x46441,x46442)+E(f259(x46441,x46442),f72(a89)) % 169.26/169.08 [4647]E(f206(x46471,x46472),x46471)+~E(x46472,f2(a897)) % 169.26/169.08 [4654]~E(x46542,f103(x46541))+E(f142(x46541,x46542),f103(x46541)) % 169.26/169.08 [4673]~E(f142(x46732,x46731),f103(x46732))+E(x46731,f103(x46732)) % 169.26/169.08 [4698]~P2(x46982)+P2(f906(x46981,x46982)) % 169.26/169.08 [4699]~P3(x46992)+P3(f906(x46991,x46992)) % 169.26/169.08 [4700]~P109(x47002)+P109(f906(x47001,x47002)) % 169.26/169.08 [4701]~P68(x47012)+P68(f906(x47011,x47012)) % 169.26/169.08 [4702]~P69(x47022)+P69(f906(x47021,x47022)) % 169.26/169.08 [4703]~P98(x47032)+P98(f906(x47031,x47032)) % 169.26/169.08 [4704]~P91(x47042)+P91(f906(x47041,x47042)) % 169.26/169.08 [4705]~P101(x47052)+P100(f906(x47051,x47052)) % 169.26/169.08 [4706]~P101(x47062)+P101(f906(x47061,x47062)) % 169.26/169.08 [4707]~P103(x47072)+P102(f906(x47071,x47072)) % 169.26/169.08 [4708]~P101(x47082)+P106(f906(x47081,x47082)) % 169.26/169.08 [4709]~P104(x47092)+P104(f906(x47091,x47092)) % 169.26/169.08 [4710]~P8(x47102)+P8(f906(x47101,x47102)) % 169.26/169.08 [4711]~P116(x47112)+P116(f906(x47111,x47112)) % 169.26/169.08 [4712]~P103(x47122)+P105(f906(x47121,x47122)) % 169.26/169.08 [4713]~P103(x47132)+P103(f906(x47131,x47132)) % 169.26/169.08 [4726]E(x47261,x47262)+~E(f317(a102,x47261),f317(a102,x47262)) % 169.26/169.08 [4727]E(x47271,x47272)+~E(f317(a98,x47271),f317(a98,x47272)) % 169.26/169.08 [4728]E(x47281,x47282)+~E(f317(a3,x47281),f317(a3,x47282)) % 169.26/169.08 [4730]E(x47301,x47302)+~E(f317(a20,x47301),f317(a20,x47302)) % 169.26/169.08 [4779]P41(x47791,x47792)+~E(f684(x47792,x47791),f685(x47792,x47791)) % 169.26/169.08 [4809]~P60(x48091,x48092)+P41(x48091,f297(x48091,x48092)) % 169.26/169.08 [4810]~P54(x48101,x48102)+P54(x48101,f297(x48101,x48102)) % 169.26/169.08 [4823]~P6(x48231)+E(f40(x48231,x48232,x48232),f2(x48231)) % 169.26/169.08 [4857]~P39(x48571,x48572)+P39(f898(x48571),f136(x48571,x48572)) % 169.26/169.08 [4858]~P39(x48581,x48582)+P39(f898(x48581),f135(x48581,x48582)) % 169.26/169.08 [4859]~P40(x48591,x48592)+P40(f898(x48591),f137(x48591,x48592)) % 169.26/169.08 [4860]~P40(x48601,x48602)+P40(f898(x48601),f148(x48601,x48602)) % 169.26/169.08 [4861]~P54(x48611,x48612)+P54(f898(x48611),f148(x48611,x48612)) % 169.26/169.08 [4958]~P39(x49581,x49582)+P39(f906(x49581,a894),f310(x49581,x49582)) % 169.26/169.08 [4959]~P39(x49591,x49592)+P39(f906(x49591,a894),f308(x49591,x49592)) % 169.26/169.08 [5090]~P9(x50901)+P42(f293(a1,x50901,x50902)) % 169.26/169.08 [5193]~P39(x51931,x51932)+P62(x51931,f61(x51931,x51931,x51932)) % 169.26/169.08 [5696]~P81(x56961)+P27(x56961,x56961,f73(x56961),x56962) % 169.26/169.08 [4668]~E(x46682,f103(x46681))+E(f317(f157(x46681),x46682),f103(x46681)) % 169.26/169.08 [4669]~E(x46692,f103(x46691))+E(f317(f158(x46691),x46692),f103(x46691)) % 169.26/169.08 [4732]E(x47321,f317(a95,x47322))+~E(f317(f90(a1),x47321),x47322) % 169.26/169.08 [4735]E(x47351,f103(x47352))+~E(f317(f157(x47352),x47351),f103(x47352)) % 169.26/169.08 [4736]E(x47361,f103(x47362))+~E(f317(f158(x47362),x47361),f103(x47362)) % 169.26/169.08 [4748]~P95(x47481)+E(f317(f94(x47481),x47482),f317(f93(x47481),x47482)) % 169.26/169.08 [4756]~P5(x47561)+P1(f317(f28(x47561),x47562)) % 169.26/169.08 [4764]~E(f644(x47642,x47641),f103(x47641))+E(f169(x47641,x47642),f103(f898(x47641))) % 169.26/169.08 [4773]~E(x47732,f103(x47731))+E(f317(f162(x47731),x47732),f178(f906(x47731,a894))) % 169.26/169.08 [4774]~E(x47742,f103(x47741))+E(f178(f906(x47741,a894)),f317(f162(x47741),x47742)) % 169.26/169.08 [4776]E(x47761,x47762)+~E(f317(f90(a1),x47761),f317(f90(a1),x47762)) % 169.26/169.08 [4780]E(f204(x47801,x47802),f2(a897))+P1(f317(f28(x47801),x47802)) % 169.26/169.08 [4798]~P111(x47981)+E(f76(x47981,f76(x47981,x47982)),f76(x47981,x47982)) % 169.26/169.08 [4812]~P112(x48121)+E(f317(f317(f234(x48121),x48122),f72(a897)),x48122) % 169.26/169.08 [4813]~P84(x48131)+E(f317(f317(f234(x48131),x48132),f72(a897)),x48132) % 169.26/169.08 [4814]~P54(x48141,x48142)+E(f317(f276(x48141,x48141),x48142),x48142) % 169.26/169.08 [4818]E(x48181,x48182)+E(f259(x48181,x48182),f317(f317(f74(a89),x48182),f72(a89))) % 169.26/169.08 [4821]E(f317(f29(x48211),x48212),f2(a897))+P1(f317(f28(x48211),x48212)) % 169.26/169.08 [4824]~E(f142(x48241,x48242),x48242)+P1(f317(f127(x48241),x48242)) % 169.26/169.08 [4827]~P78(x48271)+E(f317(f317(f23(x48271),x48272),f2(x48271)),x48272) % 169.26/169.08 [4828]~P76(x48281)+E(f317(f317(f74(x48281),x48282),f2(x48281)),x48282) % 169.26/169.08 [4829]~P83(x48291)+E(f317(f317(f74(x48291),x48292),f2(x48291)),x48292) % 169.26/169.08 [4830]~P112(x48301)+E(f317(f317(f74(x48301),x48302),f2(x48301)),x48302) % 169.26/169.08 [4831]~P112(x48311)+E(f317(f317(f75(x48311),x48312),f72(x48311)),x48312) % 169.26/169.08 [4832]~P84(x48321)+E(f317(f317(f75(x48321),x48322),f72(x48321)),x48322) % 169.26/169.08 [4833]~P79(x48331)+E(f317(f317(f75(x48331),x48332),f72(x48331)),x48332) % 169.26/169.08 [4834]~P6(x48341)+E(f317(f317(f30(x48341),x48342),f72(x48341)),x48342) % 169.26/169.08 [4835]~P122(x48351)+E(f317(f317(f281(x48351),x48352),f72(x48351)),x48352) % 169.26/169.08 [4836]~P102(x48361)+E(f317(f317(f91(x48361),x48362),f178(x48361)),x48362) % 169.26/169.08 [4837]~P105(x48371)+E(f317(f317(f92(x48371),x48372),f232(x48371)),x48372) % 169.26/169.08 [4838]~P112(x48381)+E(f317(f317(f234(x48381),x48382),f2(a897)),f72(x48381)) % 169.26/169.08 [4839]~P115(x48391)+E(f317(f317(f234(x48391),x48392),f2(a897)),f72(x48391)) % 169.26/169.08 [4840]~E(x48402,f178(f906(x48401,a894)))+E(f317(f29(x48401),x48402),f2(a897)) % 169.26/169.08 [4851]~P6(x48511)+E(f40(x48511,x48512,f2(x48511)),x48512) % 169.26/169.08 [4862]~P112(x48621)+E(f317(f317(f75(x48621),x48622),f2(x48621)),f2(x48621)) % 169.26/169.08 [4863]~P134(x48631)+E(f317(f317(f75(x48631),x48632),f2(x48631)),f2(x48631)) % 169.26/169.08 [4864]~P6(x48641)+E(f317(f317(f30(x48641),x48642),f2(x48641)),f2(x48641)) % 169.26/169.08 [4865]~P123(x48651)+E(f317(f317(f281(x48651),x48652),f2(x48651)),f2(x48651)) % 169.26/169.08 [4866]~P105(x48661)+E(f317(f317(f91(x48661),x48662),f232(x48661)),f232(x48661)) % 169.26/169.08 [4867]~P102(x48671)+E(f317(f317(f92(x48671),x48672),f178(x48671)),f178(x48671)) % 169.26/169.08 [4869]~P6(x48691)+E(f40(x48691,x48692,f72(x48691)),f2(x48691)) % 169.26/169.08 [4870]~P6(x48701)+E(f40(x48701,f2(x48701),x48702),f2(x48701)) % 169.26/169.08 [4899]E(x48991,f2(a897))+E(f50(x48992,x48991,f103(x48992)),f103(f898(x48992))) % 169.26/169.08 [4922]P54(x49221,x49222)+~E(f317(f276(x49221,x49221),x49222),x49222) % 169.26/169.08 [4923]P39(x49231,x49232)+~E(f517(x49232,x49231),f178(f906(x49231,a894))) % 169.26/169.08 [4924]E(x49241,f103(x49242))+~E(f317(f162(x49242),x49241),f178(f906(x49242,a894))) % 169.26/169.08 [4925]E(x49251,f103(x49252))+~E(f178(f906(x49252,a894)),f317(f162(x49252),x49251)) % 169.26/169.08 [4928]~E(x49281,x49282)+P1(f317(f317(a314,x49281),x49282)) % 169.26/169.08 [4938]P1(x49381)+P1(f317(f317(a320,x49381),x49382)) % 169.26/169.08 [4939]E(x49391,f103(x49392))+E(f317(f317(f154(x49392),x49391),f2(a897)),f317(f131(x49392),x49391)) % 169.26/169.08 [4942]E(f142(x49421,x49422),x49422)+~P1(f317(f127(x49421),x49422)) % 169.26/169.08 [4949]~P1(x49492)+P1(f317(f317(a320,x49491),x49492)) % 169.26/169.08 [4950]~P1(x49502)+P1(f317(f317(a316,x49501),x49502)) % 169.26/169.08 [4951]~P1(x49511)+P1(f317(f317(a316,x49511),x49512)) % 169.26/169.08 [4961]~E(f645(x49612,x49611),f649(x49612,x49611))+P1(f317(f127(x49611),x49612)) % 169.26/169.08 [4968]E(f317(f252(x49681),x49682),f178(f906(x49681,a894)))+P1(f317(x49682,f470(x49682))) % 169.26/169.08 [4969]E(f178(f906(x49691,a894)),f317(f252(x49691),x49692))+P1(f317(x49692,f488(x49692))) % 169.26/169.08 [5042]~P111(x50421)+E(f317(f317(f75(x50421),x50422),f76(x50421,x50422)),f317(f70(x50421),x50422)) % 169.26/169.08 [5054]~E(x50541,f2(a1))+E(f41(x50541,x50542),f317(f317(f242(a1,a1),f2(a1)),f2(a1))) % 169.26/169.08 [5086]~P60(x50861,x50862)+P60(x50861,f317(f276(x50861,x50861),x50862)) % 169.26/169.08 [5087]~P40(x50871,x50872)+P40(x50871,f317(f276(x50871,x50871),x50872)) % 169.26/169.08 [5088]~P41(x50881,x50882)+P41(x50881,f317(f276(x50881,x50881),x50882)) % 169.26/169.08 [5089]~P54(x50891,x50892)+P54(x50891,f317(f276(x50891,x50891),x50892)) % 169.26/169.08 [5111]E(x51111,x51112)+~P1(f317(f317(a314,x51111),x51112)) % 169.26/169.08 [5122]P1(x51221)+~P1(f317(f317(a315,x51222),x51221)) % 169.26/169.08 [5123]P1(x51231)+~P1(f317(f317(a315,x51231),x51232)) % 169.26/169.08 [5128]~P116(x51281)+P1(f317(f317(f224(x51281),x51282),f232(x51281))) % 169.26/169.08 [5129]~P112(x51291)+P1(f317(f317(f277(x51291),x51292),f2(x51291))) % 169.26/169.08 [5133]E(x51331,x51332)+~E(f317(x51331,f380(x51332,x51331)),f317(x51332,f380(x51332,x51331))) % 169.26/169.08 [5164]E(x51641,f2(a897))+E(f206(x51641,f40(a897,x51642,x51641)),f206(x51642,x51641)) % 169.26/169.08 [5169]~P4(x51691)+P16(x51691,f317(f317(f141(x51691),x51692),f103(x51691))) % 169.26/169.08 [5171]E(x51711,f2(a1))+P1(f317(f44(x51712,x51711),f41(x51712,x51711))) % 169.26/169.08 [5188]~P18(x51882,x51881)+P1(f317(f317(x51881,f780(x51881)),f780(x51881))) % 169.26/169.08 [5191]~E(x51911,x51912)+P1(f317(f317(f225(a897),x51911),f317(a102,x51912))) % 169.26/169.08 [5201]~E(x52011,f2(a897))+P1(f317(f317(f225(a897),x52011),f317(a102,x52012))) % 169.26/169.08 [5211]P1(f317(x52111,x52112))+P1(f317(f317(f224(a1),f2(a1)),f847(x52111))) % 169.26/169.08 [5274]P60(x52741,x52742)+~P60(x52741,f317(f276(x52741,x52741),x52742)) % 169.26/169.08 [5275]P40(x52751,x52752)+~P40(x52751,f317(f276(x52751,x52751),x52752)) % 169.26/169.08 [5276]P41(x52761,x52762)+~P41(x52761,f317(f276(x52761,x52761),x52762)) % 169.26/169.08 [5277]P54(x52771,x52772)+~P54(x52771,f317(f276(x52771,x52771),x52772)) % 169.26/169.08 [5280]~E(f40(a897,x52802,x52801),f2(a897))+E(f317(f317(f75(a897),x52801),f851(x52801,x52802)),x52802) % 169.26/169.08 [5281]~E(f40(a1,x52812,x52811),f2(a1))+E(f317(f317(f75(a1),x52811),f852(x52811,x52812)),x52812) % 169.26/169.08 [5308]~P1(f317(x53081,x53082))+P1(f317(f317(f224(a1),f2(a1)),f799(x53081))) % 169.26/169.08 [5319]E(f317(f317(f23(a897),f317(a95,x53191)),f317(a95,x53192)),f317(a95,x53191))+~P1(f317(a183,x53192)) % 169.26/169.08 [5342]E(f262(x53421,x53422),f72(a89))+~P1(f317(f317(f224(a89),x53421),f72(a89))) % 169.26/169.08 [5440]E(f317(f317(f154(x54401),x54402),f645(x54402,x54401)),f317(f317(f154(x54401),x54402),f649(x54402,x54401)))+P1(f317(f127(x54401),x54402)) % 169.26/169.08 [5484]~P1(f317(x54841,f84(x54842,x54841)))+P1(f317(x54841,f518(x54842,x54841))) % 169.26/169.08 [5549]P62(x55491,x55492)+~P1(f317(f305(x55491,x55492),f489(x55492,x55491))) % 169.26/169.08 [5693]~P18(x56932,x56931)+P1(f317(f317(x56931,f781(x56931,x56932)),f781(x56931,x56932))) % 169.26/169.08 [5694]~P18(x56942,x56941)+P1(f317(f317(x56941,f784(x56941,x56942)),f784(x56941,x56942))) % 169.26/169.08 [5703]~E(f317(a102,f40(a897,x57031,x57032)),x57032)+E(f40(a897,f317(a102,x57031),x57032),f2(a897)) % 169.26/169.08 [5758]P39(x57581,x57582)+P1(f317(f317(f319(x57581),f610(x57582,x57581)),f611(x57582,x57581))) % 169.26/169.08 [5765]~P95(x57651)+P1(f317(f317(f319(x57651),f317(f94(x57651),x57652)),f100(x57651))) % 169.26/169.08 [5766]~P128(x57661)+P1(f317(f317(f319(x57661),f317(f90(x57661),x57662)),f100(x57661))) % 169.26/169.08 [5767]~P144(x57671)+P1(f317(f317(f319(x57671),f317(f90(x57671),x57672)),f176(x57671))) % 169.26/169.08 [5768]~P128(x57681)+P1(f317(f317(f319(x57681),f317(f93(x57681),x57682)),f100(x57681))) % 169.26/169.08 [5911]~P40(x59111,x59112)+E(f317(f317(f279(x59111,x59111,x59111),x59112),f297(x59111,x59112)),x59112) % 169.26/169.08 [5925]E(f317(a102,f40(a897,x59251,x59252)),x59252)+E(f40(a897,f317(a102,x59251),x59252),f317(a102,f40(a897,x59251,x59252))) % 169.26/169.08 [6358]P39(x63581,x63582)+~P1(f317(f317(f319(x63581),f491(x63582,x63581)),f306(x63581,x63582))) % 169.26/169.08 [6397]~P110(x63971)+~P1(f317(f317(f225(x63971),f317(f90(x63971),x63972)),f2(x63971))) % 169.26/169.08 [6398]~P89(x63981)+~P1(f317(f317(f225(x63981),f317(f70(x63981),x63982)),f2(x63981))) % 169.26/169.08 [6488]P1(f317(f317(f225(a1),x64881),f40(a1,x64882,x64881)))+~P1(f317(f317(f225(a1),x64881),f2(a1))) % 169.26/169.08 [6594]E(f317(f317(f299(a897),f317(a102,x65941)),f293(a897,x65942,x65941)),f293(a897,x65942,f317(a102,x65941)))+~P1(f317(f317(f224(a897),x65942),f317(a102,x65941))) % 169.26/169.08 [6686]~P4(x66861)+P16(x66861,f140(x66861,x66861,f5(x66861),x66862)) % 169.26/169.08 [6818]E(f317(f157(x68181),x68182),x68182)+~P1(f317(f317(f224(a897),f317(f179(f898(x68181)),x68182)),f72(a897))) % 169.26/169.08 [6840]~P89(x68401)+P1(f317(f317(f224(x68401),f317(f73(x68401),f317(f70(x68401),x68402))),f2(x68401))) % 169.26/169.08 [6874]~P39(x68741,x68742)+P39(x68741,f317(f317(f279(x68741,x68741,x68741),x68742),f297(x68741,x68742))) % 169.26/169.08 [6875]~P54(x68751,x68752)+P54(x68751,f317(f317(f279(x68751,x68751,x68751),x68752),f297(x68751,x68752))) % 169.26/169.08 [7101]~P1(f317(f317(f225(a1),x71012),f2(a1)))+P1(f317(f317(f224(a1),f40(a1,x71011,x71012)),f2(a1))) % 169.26/169.08 [7501]~P144(x75011)+E(f180(x75011,f317(f317(f7(x75011,x75011,x75011),f74(x75011)),f72(x75011)),x75012,f2(x75011)),f317(f90(x75011),x75012)) % 169.26/169.08 [7530]~P126(x75301)+~P1(f317(f317(f225(x75301),f317(f317(f75(x75301),x75302),x75302)),f2(x75301))) % 169.26/169.08 [10175]~P111(x101751)+~P1(f317(f317(f225(x101751),f317(f317(f234(x101751),x101752),f317(f94(a897),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(x101751))) % 169.26/169.08 [4733]~E(x47332,f103(x47331))+E(f317(f179(f898(x47331)),x47332),f2(a897)) % 169.26/169.08 [4765]~E(x47651,f2(a897))+E(f317(f317(f74(a897),x47651),x47652),x47652) % 169.26/169.08 [4766]~E(x47662,f2(a897))+E(f317(f317(f75(a897),x47661),x47662),f2(a897)) % 169.26/169.08 [4768]~E(x47681,f2(a897))+E(f317(f317(f75(a897),x47681),x47682),f2(a897)) % 169.26/169.08 [4769]~E(x47692,f2(a897))+E(f317(f317(f234(a897),x47691),x47692),f72(a897)) % 169.26/169.08 [4770]~E(x47702,f2(a1))+E(f317(f317(f30(a1),x47701),x47702),f2(a1)) % 169.26/169.08 [4781]E(x47811,f103(x47812))+~E(f317(f179(f898(x47812)),x47811),f2(a897)) % 169.26/169.08 [4783]~P99(x47831)+E(f317(f317(f75(x47831),x47832),x47832),x47832) % 169.26/169.08 [4785]~P4(x47851)+E(f317(f317(f228(x47851),x47852),x47852),x47852) % 169.26/169.08 [4787]~P4(x47871)+E(f317(f317(f223(x47871),x47872),x47872),x47872) % 169.26/169.08 [4789]~P100(x47891)+E(f317(f317(f91(x47891),x47892),x47892),x47892) % 169.26/169.08 [4790]~P101(x47901)+E(f317(f317(f91(x47901),x47902),x47902),x47902) % 169.26/169.08 [4791]~P101(x47911)+E(f317(f317(f92(x47911),x47912),x47912),x47912) % 169.26/169.08 [4793]~P106(x47931)+E(f317(f317(f92(x47931),x47932),x47932),x47932) % 169.26/169.08 [4811]~P78(x48111)+E(f317(f317(f23(x48111),x48112),x48112),f2(x48111)) % 169.26/169.08 [4825]~P78(x48251)+E(f317(f73(x48251),f317(f73(x48251),x48252)),x48252) % 169.26/169.08 [4826]~P98(x48261)+E(f317(f73(x48261),f317(f73(x48261),x48262)),x48262) % 169.26/169.08 [4843]~E(x48432,f2(a897))+E(f317(f317(f234(a897),x48431),x48432),f317(a102,f2(a897))) % 169.26/169.08 [4878]~P76(x48781)+E(f317(f317(f74(x48781),f2(x48781)),x48782),x48782) % 169.26/169.08 [4879]~P83(x48791)+E(f317(f317(f74(x48791),f2(x48791)),x48792),x48792) % 169.26/169.08 [4880]~P112(x48801)+E(f317(f317(f74(x48801),f2(x48801)),x48802),x48802) % 169.26/169.08 [4881]~P112(x48811)+E(f317(f317(f75(x48811),f72(x48811)),x48812),x48812) % 169.26/169.08 [4882]~P84(x48821)+E(f317(f317(f75(x48821),f72(x48821)),x48822),x48822) % 169.26/169.08 [4883]~P79(x48831)+E(f317(f317(f75(x48831),f72(x48831)),x48832),x48832) % 169.26/169.08 [4884]~P102(x48841)+E(f317(f317(f91(x48841),f178(x48841)),x48842),x48842) % 169.26/169.08 [4885]~P105(x48851)+E(f317(f317(f92(x48851),f232(x48851)),x48852),x48852) % 169.26/169.08 [4903]~P112(x49031)+E(f317(f317(f75(x49031),f2(x49031)),x49032),f2(x49031)) % 169.26/169.08 [4904]~P134(x49041)+E(f317(f317(f75(x49041),f2(x49041)),x49042),f2(x49041)) % 169.26/169.08 [4905]~P84(x49051)+E(f317(f317(f234(x49051),f72(x49051)),x49052),f72(x49051)) % 169.26/169.08 [4906]~P6(x49061)+E(f317(f317(f30(x49061),f2(x49061)),x49062),f2(x49061)) % 169.26/169.08 [4907]~P122(x49071)+E(f317(f317(f281(x49071),f2(x49071)),x49072),f2(x49071)) % 169.26/169.08 [4908]~P105(x49081)+E(f317(f317(f91(x49081),f232(x49081)),x49082),f232(x49081)) % 169.26/169.08 [4909]~P102(x49091)+E(f317(f317(f92(x49091),f178(x49091)),x49092),f178(x49091)) % 169.26/169.08 [4917]E(x49171,f103(x49172))+E(f134(x49172,f317(f158(x49172),x49171)),f317(f131(x49172),x49171)) % 169.26/169.08 [4918]E(x49181,f103(x49182))+E(f317(f131(x49182),f317(f158(x49182),x49181)),f134(x49182,x49181)) % 169.26/169.08 [4919]E(x49191,f2(a897))+~E(f317(f317(f74(a897),x49192),x49191),x49192) % 169.26/169.08 [4926]~P95(x49261)+E(f317(f93(x49261),f317(f94(a1),x49262)),f317(f94(x49261),x49262)) % 169.26/169.08 [4927]~P128(x49271)+E(f317(f93(x49271),f317(f90(a1),x49272)),f317(f90(x49271),x49272)) % 169.26/169.08 [4934]E(x49341,f72(a897))+~E(f317(f317(f75(a897),x49342),x49341),f72(a897)) % 169.26/169.08 [4935]E(x49351,f72(a897))+~E(f317(f317(f75(a897),x49351),x49352),f72(a897)) % 169.26/169.08 [4936]E(x49361,f2(a897))+~E(f317(f317(f74(a897),x49362),x49361),f2(a897)) % 169.26/169.08 [4937]E(x49371,f2(a897))+~E(f317(f317(f74(a897),x49371),x49372),f2(a897)) % 169.26/169.08 [4954]~P111(x49541)+E(f317(f70(x49541),f317(f90(x49541),x49542)),f317(f90(x49541),x49542)) % 169.26/169.08 [4955]~P89(x49551)+E(f317(f70(x49551),f317(f73(x49551),x49552)),f317(f70(x49551),x49552)) % 169.26/169.08 [4956]~P89(x49561)+E(f317(f70(x49561),f317(f70(x49561),x49562)),f317(f70(x49561),x49562)) % 169.26/169.08 [4957]~P76(x49571)+E(f317(f155(x49571),f317(f158(x49571),x49572)),f317(f155(x49571),x49572)) % 169.26/169.08 [4962]~E(x49621,f317(a102,f2(a897)))+E(f317(f317(f234(a897),x49621),x49622),f317(a102,f2(a897))) % 169.26/169.08 [4971]~P78(x49711)+E(f317(f317(f23(x49711),f2(x49711)),x49712),f317(f73(x49711),x49712)) % 169.26/169.08 [4972]~E(x49722,f2(a897))+E(f129(a897,f317(f292(a897,x49721),x49722)),f103(a897)) % 169.26/169.08 [4981]~P95(x49811)+E(f317(f317(f74(x49811),x49812),f317(f94(x49811),a77)),x49812) % 169.26/169.08 [4982]E(x49821,f2(a1))+E(f42(f317(f70(a1),x49822),f317(f70(a1),x49821)),f48(x49822,x49821)) % 169.26/169.08 [4998]~E(x49981,x49982)+P1(f317(f317(f224(a897),x49981),x49982)) % 169.26/169.08 [5002]~E(x50021,x50022)+P1(f317(f317(f277(a897),x50021),x50022)) % 169.26/169.08 [5009]~E(x50091,f2(a89))+E(f317(f317(f74(a897),f317(a20,x50091)),x50092),x50092) % 169.26/169.08 [5023]~P9(x50231)+P9(f317(f317(f234(a1),x50231),x50232)) % 169.26/169.08 [5024]~P78(x50241)+E(f317(f317(f74(x50241),x50242),f317(f73(x50241),x50242)),f2(x50241)) % 169.26/169.08 [5025]~P98(x50251)+E(f317(f317(f91(x50251),x50252),f317(f73(x50251),x50252)),f232(x50251)) % 169.26/169.08 [5026]~P98(x50261)+E(f317(f317(f92(x50261),x50262),f317(f73(x50261),x50262)),f178(x50261)) % 169.26/169.08 [5051]E(x50511,f2(a897))+~E(f317(f73(a1),f317(f90(a1),x50512)),f317(f90(a1),x50511)) % 169.26/169.08 [5052]E(x50521,f2(a897))+~E(f317(f73(a1),f317(f90(a1),x50521)),f317(f90(a1),x50522)) % 169.26/169.08 [5062]E(f184(x50621,x50622),f2(a1))+P1(f317(f317(f224(a1),x50622),x50621)) % 169.26/169.08 [5063]E(f168(x50631,x50632),f103(a1))+P1(f317(f317(f224(a1),x50631),x50632)) % 169.26/169.08 [5064]E(f231(x50641,x50642),f2(a89))+P1(f317(f317(f225(a89),x50641),x50642)) % 169.26/169.08 [5077]E(x50771,f317(a102,f2(a897)))+~E(f317(f317(f75(a897),x50772),x50771),f317(a102,f2(a897))) % 169.26/169.08 [5078]E(x50781,f317(a102,f2(a897)))+~E(f317(f317(f75(a897),x50781),x50782),f317(a102,f2(a897))) % 169.26/169.08 [5079]~P2(x50791)+P1(f317(f317(f224(x50791),x50792),x50792)) % 169.26/169.08 [5080]~P112(x50801)+P1(f317(f317(f277(x50801),x50802),x50802)) % 169.26/169.08 [5083]~P95(x50831)+E(f317(f317(f75(x50831),x50832),f317(f94(x50831),a87)),f317(f73(x50831),x50832)) % 169.26/169.08 [5103]~P95(x51031)+E(f317(f73(x51031),f317(f94(x51031),x51032)),f317(f94(x51031),f317(f73(a1),x51032))) % 169.26/169.08 [5104]~P128(x51041)+E(f317(f73(x51041),f317(f93(x51041),x51042)),f317(f93(x51041),f317(f73(a1),x51042))) % 169.26/169.08 [5134]~E(x51341,f317(a102,x51342))+P1(f317(f317(f225(a897),f2(a897)),x51341)) % 169.26/169.08 [5152]~P4(x51521)+E(f317(f73(f906(x51521,a894)),f317(f291(x51521),x51522)),f317(f294(x51521),x51522)) % 169.26/169.08 [5153]~P4(x51531)+E(f317(f73(f906(x51531,a894)),f317(f272(x51531),x51532)),f317(f273(x51531),x51532)) % 169.26/169.08 [5154]~P4(x51541)+E(f317(f73(f906(x51541,a894)),f317(f273(x51541),x51542)),f317(f272(x51541),x51542)) % 169.26/169.08 [5155]~P4(x51551)+E(f317(f73(f906(x51551,a894)),f317(f294(x51551),x51552)),f317(f291(x51551),x51552)) % 169.26/169.08 [5163]~E(f317(f90(a1),x51632),x51631)+P1(f317(f317(f224(a1),f2(a1)),x51631)) % 169.26/169.08 [5170]~E(x51702,f2(a1))+E(f48(x51701,x51702),f317(f317(f242(a1,a1),f2(a1)),f317(f70(a1),x51701))) % 169.26/169.08 [5172]~P68(x51721)+P1(f317(f317(f224(x51721),f178(x51721)),x51722)) % 169.26/169.08 [5173]~P112(x51731)+P1(f317(f317(f277(x51731),f72(x51731)),x51732)) % 169.26/169.08 [5206]E(x52061,x52062)+~E(f317(f317(f74(a1),x52061),x52061),f317(f317(f74(a1),x52062),x52062)) % 169.26/169.08 [5210]~P1(f317(x52101,x52102))+P1(f317(x52101,f317(a95,f799(x52101)))) % 169.26/169.08 [5236]~P111(x52361)+E(f317(f317(f75(x52361),f76(x52361,x52362)),f317(f70(x52361),x52362)),x52362) % 169.26/169.08 [5243]~E(x52432,f2(a897))+E(f79(f905(a897,a897),f43(x52431,x52432)),f317(f317(f242(a897,a897),f2(a897)),x52431)) % 169.26/169.08 [5248]~E(x52481,x52482)+~P1(f317(f317(f225(a897),x52481),x52482)) % 169.26/169.08 [5249]~E(x52491,x52492)+~P1(f317(f317(f225(a1),x52491),x52492)) % 169.26/169.08 [5252]~P144(x52521)+E(f317(f317(f74(x52521),f72(x52521)),f317(f90(x52521),x52522)),f317(f90(x52521),f317(a102,x52522))) % 169.26/169.08 [5256]~E(x52561,f2(a897))+~P1(f317(f317(f225(a897),x52562),x52561)) % 169.26/169.08 [5270]E(f142(x52701,x52702),x52702)+~E(f317(f179(f898(x52701)),f142(x52701,x52702)),f317(f179(f898(x52701)),x52702)) % 169.26/169.08 [5271]E(f317(f29(x52711),f317(f162(x52711),x52712)),f317(f179(f898(x52711)),x52712))+~P1(f317(f127(x52711),x52712)) % 169.26/169.08 [5285]~P1(f317(x52851,f718(x52851)))+P1(f317(x52851,f317(f90(a1),x52852))) % 169.26/169.08 [5296]E(f231(x52961,x52962),x52962)+~P1(f317(f317(f225(a89),x52961),x52962)) % 169.26/169.08 [5298]E(f262(x52981,x52982),f72(a89))+~P1(f317(f317(f225(a89),x52982),x52981)) % 169.26/169.08 [5299]E(f168(x52991,x52992),f103(a1))+~P1(f317(f317(f225(a1),x52992),x52991)) % 169.26/169.08 [5300]E(f118(x53001,x53002),f105(a1))+~P1(f317(f317(f225(a1),x53001),x53002)) % 169.26/169.08 [5302]~P109(x53021)+E(f293(x53021,x53022,x53022),f317(f317(f299(x53021),x53022),f178(f906(x53021,a894)))) % 169.26/169.08 [5322]~E(f317(f317(f23(a897),x53221),x53222),f2(a897))+P1(f317(f317(f224(a897),x53221),x53222)) % 169.26/169.08 [5339]~E(x53392,f2(a897))+E(f50(x53391,x53392,f103(x53391)),f317(f317(f141(f898(x53391)),f103(x53391)),f103(f898(x53391)))) % 169.26/169.08 [5343]~P2(x53431)+~P1(f317(f317(f225(x53431),x53432),x53432)) % 169.26/169.08 [5345]~E(f40(a1,x53451,x53452),f2(a1))+E(f40(a1,x53451,f317(f73(a1),x53452)),f2(a1)) % 169.26/169.08 [5347]~E(f40(a1,x53471,x53472),f2(a1))+E(f40(a1,f317(f73(a1),x53471),x53472),f2(a1)) % 169.26/169.08 [5355]E(f317(f292(a897,x53551),f317(a102,x53552)),f178(f906(a897,a894)))+P1(f317(f317(f224(a897),x53551),x53552)) % 169.26/169.08 [5379]E(f129(a897,f317(f292(a897,x53791),x53792)),f103(a897))+P1(f317(f317(f225(a897),x53791),x53792)) % 169.26/169.08 [5385]~E(f317(f29(x53851),f317(f162(x53851),x53852)),f317(f179(f898(x53851)),x53852))+P1(f317(f127(x53851),x53852)) % 169.26/169.08 [5389]~P1(f317(f127(x53891),x53892))+P1(f317(f127(x53891),f317(f157(x53891),x53892))) % 169.26/169.08 [5390]~P1(f317(f127(x53901),x53902))+P1(f317(f127(x53901),f317(f161(x53901),x53902))) % 169.26/169.08 [5391]~P1(f317(f127(x53911),x53912))+P1(f317(f127(x53911),f317(f158(x53911),x53912))) % 169.26/169.08 [5399]P1(f317(x53991,x53992))+~P1(f317(x53991,f317(a95,f847(x53991)))) % 169.26/169.08 [5400]P1(f317(f317(f224(a897),x54002),x54001))+P1(f317(f317(f224(a897),x54001),x54002)) % 169.26/169.08 [5401]P1(f317(f317(f224(a1),x54012),x54011))+P1(f317(f317(f224(a1),x54011),x54012)) % 169.26/169.08 [5405]~P89(x54051)+P1(f317(f317(f224(x54051),x54052),f317(f70(x54051),x54052))) % 169.26/169.08 [5408]P1(f317(x54081,f729(x54081)))+~P1(f317(x54081,f317(f90(a1),x54082))) % 169.26/169.08 [5432]E(f317(f317(f23(a897),x54321),x54322),f2(a897))+~P1(f317(f317(f224(a897),x54321),x54322)) % 169.26/169.08 [5433]E(f317(f317(f30(a897),x54331),x54332),f2(a897))+~P1(f317(f317(f225(a897),x54331),x54332)) % 169.26/169.08 [5452]E(f40(a897,x54521,x54522),x54521)+~P1(f317(f317(f225(a897),x54521),x54522)) % 169.26/169.08 [5460]E(f40(a1,x54601,f317(f73(a1),x54602)),f282(x54601,x54602))+P1(f317(f317(f224(a1),f2(a1)),x54602)) % 169.26/169.08 [5473]E(f317(f317(f23(a1),x54731),x54732),f184(x54731,x54732))+~P1(f317(f317(f224(a1),x54732),x54731)) % 169.26/169.08 [5493]P1(f317(f317(f224(a1),f2(a1)),f718(x54931)))+P1(f317(x54931,f317(f90(a1),x54932))) % 169.26/169.08 [5506]~P110(x55061)+P1(f317(f317(f224(x55061),f2(x55061)),f317(f90(x55061),x55062))) % 169.26/169.08 [5507]~P89(x55071)+P1(f317(f317(f224(x55071),f2(x55071)),f317(f70(x55071),x55072))) % 169.26/169.08 [5535]E(f317(f317(f74(a897),x55351),f536(x55352,x55351)),x55352)+~P1(f317(f317(f224(a897),x55351),x55352)) % 169.26/169.08 [5550]E(f293(a1,x55501,x55502),f178(f906(a1,a894)))+~P1(f317(f317(f225(a1),x55502),x55501)) % 169.26/169.08 [5553]~P111(x55531)+E(f317(f317(f75(x55531),f317(f70(x55531),x55532)),f317(f70(x55531),x55532)),f317(f317(f75(x55531),x55532),x55532)) % 169.26/169.08 [5558]E(f129(a897,f317(f292(a897,x55581),f317(a102,x55582))),f103(a897))+P1(f317(f317(f224(a897),x55581),x55582)) % 169.26/169.08 [5561]E(f317(f317(f30(a1),x55611),x55612),f283(x55611,x55612))+~P1(f317(f317(f224(a1),f2(a1)),x55612)) % 169.26/169.08 [5581]P1(f317(f127(x55811),x55812))+~P1(f317(f127(x55811),f317(f157(x55811),x55812))) % 169.26/169.08 [5582]P1(f317(f127(x55821),x55822))+~P1(f317(f127(x55821),f317(f158(x55821),x55822))) % 169.26/169.08 [5609]P1(f317(f28(a897),x56091))+P1(f317(f317(f319(a897),f381(x56091,x56092)),x56091)) % 169.26/169.08 [5610]P1(f317(f28(a897),x56101))+P1(f317(f317(f319(a897),f519(x56101,x56102)),x56101)) % 169.26/169.08 [5613]P1(f317(f317(f225(a897),x56132),f317(a102,x56131)))+P1(f317(f317(f225(a897),x56131),x56132)) % 169.26/169.08 [5614]E(f40(a1,x56141,x56142),f282(x56141,x56142))+~P1(f317(f317(f224(a1),f2(a1)),x56142)) % 169.26/169.08 [5617]E(f129(a897,f317(f292(a897,x56171),x56172)),f103(a897))+~P1(f317(f317(f224(a897),x56172),x56171)) % 169.26/169.08 [5618]~P81(x56181)+E(f317(f300(x56181,x56181,f73(x56181)),f317(f291(x56181),x56182)),f317(f273(x56181),f317(f73(x56181),x56182))) % 169.26/169.08 [5619]~P81(x56191)+E(f317(f300(x56191,x56191,f73(x56191)),f317(f272(x56191),x56192)),f317(f294(x56191),f317(f73(x56191),x56192))) % 169.26/169.08 [5620]~P81(x56201)+E(f317(f300(x56201,x56201,f73(x56201)),f317(f273(x56201),x56202)),f317(f291(x56201),f317(f73(x56201),x56202))) % 169.26/169.08 [5621]~P81(x56211)+E(f317(f300(x56211,x56211,f73(x56211)),f317(f294(x56211),x56212)),f317(f272(x56211),f317(f73(x56211),x56212))) % 169.26/169.08 [5632]E(x56321,f178(f906(x56322,a894)))+P1(f317(f317(f319(x56322),f858(x56321,x56322)),x56321)) % 169.26/169.08 [5633]E(x56331,f178(f906(x56332,a894)))+P1(f317(f317(f319(x56332),f865(x56331,x56332)),x56331)) % 169.26/169.08 [5644]~P1(f317(f317(f225(a897),x56441),x56442))+P1(f317(f317(f224(a897),x56441),x56442)) % 169.26/169.08 [5645]~P1(f317(f317(f225(a1),x56451),x56452))+P1(f317(f317(f224(a1),x56451),x56452)) % 169.26/169.08 [5661]E(f42(x56611,x56612),f317(f317(f242(a1,a1),f2(a1)),x56611))+~P1(f317(f317(f225(a1),x56611),x56612)) % 169.26/169.08 [5663]E(f205(f317(f73(a1),x56631),f317(f73(a1),x56632)),f205(x56631,x56632))+~P1(f317(f317(f225(a1),x56632),f2(a1))) % 169.26/169.08 [5675]E(x56751,x56752)+~E(f317(a3,f317(a102,f317(a20,x56751))),f317(a3,f317(a102,f317(a20,x56752)))) % 169.26/169.08 [5680]E(f42(x56801,x56802),f317(f317(f242(a1,a1),f2(a1)),x56801))+~P1(f317(f317(f224(a1),x56802),f2(a1))) % 169.26/169.08 [5709]E(f40(a897,f317(f94(a897),x57091),f317(f94(a897),x57092)),f2(a897))+~P1(f317(a183,f317(f94(a1),x57091))) % 169.26/169.08 [5723]P1(f317(f317(f224(a1),f2(a1)),f729(x57231)))+~P1(f317(x57231,f317(f90(a1),x57232))) % 169.26/169.08 [5756]P42(f293(a1,x57561,x57562))+~P1(f317(f317(f224(a1),f2(a1)),x57561)) % 169.26/169.08 [5761]~P1(f317(f28(x57611),x57612))+P1(f317(f28(f906(x57611,a894)),f317(f298(x57611),x57612))) % 169.26/169.08 [5774]E(f317(f317(f74(a1),x57741),f317(f90(a1),f761(x57742,x57741))),x57742)+~P1(f317(f317(f224(a1),x57741),x57742)) % 169.26/169.08 [5782]P1(f317(f317(f224(a897),x57821),x57822))+P1(f317(f317(f224(a897),f317(a102,x57822)),x57821)) % 169.26/169.08 [5826]E(f317(f317(f30(a897),f317(f94(a897),x58261)),f317(f94(a897),x58262)),f2(a897))+~P1(f317(a183,f317(f94(a1),x58261))) % 169.26/169.08 [5827]E(f317(f317(f75(a897),f317(f94(a897),x58271)),f317(f94(a897),x58272)),f2(a897))+~P1(f317(f317(f225(a1),x58271),a77)) % 169.26/169.08 [5829]P1(f317(f317(f224(a897),x58291),f317(a102,x58292)))+~P1(f317(f317(f224(a897),x58291),x58292)) % 169.26/169.08 [5831]P1(f317(f317(f225(a897),x58311),f317(a102,x58312)))+~P1(f317(f317(f224(a897),x58311),x58312)) % 169.26/169.08 [5833]P1(f317(f317(f225(a897),x58331),f317(a102,x58332)))+~P1(f317(f317(f225(a897),x58331),x58332)) % 169.26/169.08 [5836]~E(x58361,x58362)+P1(f317(f317(f225(a1),x58361),f317(f317(f74(a1),x58362),f72(a1)))) % 169.26/169.08 [5839]E(f40(a1,x58391,x58392),f2(a1))+E(f317(f317(f23(a1),x58392),f40(a1,x58391,x58392)),f40(a1,f317(f73(a1),x58391),x58392)) % 169.26/169.08 [5848]E(x58481,f103(x58482))+P1(f317(f317(f319(x58482),f134(x58482,x58481)),f317(f162(x58482),x58481))) % 169.26/169.08 [5860]E(f79(f905(a897,a897),f43(x58601,x58602)),f317(f317(f242(a897,a897),f2(a897)),x58601))+~P1(f317(f317(f225(a897),x58601),x58602)) % 169.26/169.08 [5904]E(f317(f317(f23(a897),f317(f94(a897),x59041)),f317(f94(a897),x59042)),f317(f94(a897),x59041))+~P1(f317(f317(f225(a1),x59042),a77)) % 169.26/169.08 [5905]E(f317(f317(f74(a897),f317(f94(a897),x59051)),f317(f94(a897),x59052)),f317(f94(a897),x59052))+~P1(f317(f317(f225(a1),x59051),a77)) % 169.26/169.08 [5912]E(f317(a102,f317(f317(f74(a897),x59121),f562(x59122,x59121))),x59122)+~P1(f317(f317(f225(a897),x59121),x59122)) % 169.26/169.08 [5936]P1(f317(x59361,x59362))+~P1(f317(x59361,f317(a83,f510(x59362,x59361)))) % 169.26/169.08 [5937]P1(f317(x59371,x59372))+~P1(f317(x59371,f317(a3,f796(x59372,x59371)))) % 169.26/169.08 [5946]~P1(f317(f317(f225(a897),x59461),f317(a102,x59462)))+P1(f317(f317(f224(a897),x59461),x59462)) % 169.26/169.08 [5996]E(f317(f317(f299(a897),x59961),f317(f292(a897,x59962),x59961)),f317(f292(a897,x59962),f317(a102,x59961)))+~P1(f317(f317(f224(a897),x59962),x59961)) % 169.26/169.08 [5999]E(x59991,f103(x59992))+E(f317(f317(f124(x59992),f104(x59992,x59991)),f317(f317(f141(x59992),f134(x59992,x59991)),f103(x59992))),x59991) % 169.26/169.08 [6016]P1(f317(f28(x60161),x60162))+~P1(f317(f317(f225(a897),f2(a897)),f317(f29(x60161),x60162))) % 169.26/169.08 [6020]~E(x60201,f178(f906(x60202,a894)))+~P1(f317(f317(f225(a897),f2(a897)),f317(f29(x60202),x60201))) % 169.26/169.08 [6032]~P1(f317(f317(f225(a897),x60321),x60322))+P1(f317(f317(f224(a897),f317(a102,x60321)),x60322)) % 169.26/169.08 [6036]~P4(x60361)+E(f140(x60361,x60361,f5(x60361),f142(x60361,x60362)),f129(x60361,f317(f162(x60361),x60362))) % 169.26/169.08 [6039]E(x60391,f103(x60392))+P1(f317(f317(f319(x60392),f317(f131(x60392),x60391)),f317(f162(x60392),x60391))) % 169.26/169.08 [6045]~P110(x60451)+P1(f317(f317(f225(x60451),x60452),f317(f317(f74(x60451),x60452),f72(x60451)))) % 169.26/169.08 [6047]~P89(x60471)+P1(f317(f317(f224(x60471),f317(f73(x60471),x60472)),f317(f70(x60471),x60472))) % 169.26/169.08 [6061]~E(x60611,x60612)+E(f280(a897,f277(a897),x60611,x60612),f317(f317(f299(a897),x60611),f178(f906(a897,a894)))) % 169.26/169.08 [6079]P1(f317(f28(a897),x60791))+~P1(f317(f317(f224(a897),f381(x60791,x60792)),x60792)) % 169.26/169.08 [6080]P1(f317(f28(a897),x60801))+~P1(f317(f317(f225(a897),f519(x60801,x60802)),x60802)) % 169.26/169.08 [6083]~P1(f317(f28(f905(x60831,x60831)),x60832))+P1(f317(f28(x60831),f317(f271(x60831),x60832))) % 169.26/169.08 [6139]E(f280(a897,f277(a897),x61391,x61392),f178(f906(a897,a894)))+P1(f317(f317(f277(a897),x61391),x61392)) % 169.26/169.08 [6142]~P1(f317(f317(f225(a897),x61422),f317(a102,x61421)))+~P1(f317(f317(f225(a897),x61421),x61422)) % 169.26/169.08 [6143]~P109(x61431)+E(f317(f317(f92(f906(x61431,a894)),f317(f291(x61431),x61432)),f317(f273(x61431),x61432)),f317(f317(f299(x61431),x61432),f178(f906(x61431,a894)))) % 169.26/169.08 [6155]P1(f317(f28(x61551),x61552))+~P1(f317(f28(f906(x61551,a894)),f317(f298(x61551),x61552))) % 169.26/169.08 [6177]P1(f317(f317(f224(a897),f317(a102,x61771)),f317(a102,x61772)))+~P1(f317(f317(f224(a897),x61771),x61772)) % 169.26/169.08 [6178]P1(f317(f317(f224(a897),f317(a20,x61781)),f317(a20,x61782)))+~P1(f317(f317(f224(a89),x61781),x61782)) % 169.26/169.08 [6179]P1(f317(f317(f224(a89),f317(a3,x61791)),f317(a3,x61792)))+~P1(f317(f317(f224(a897),x61791),x61792)) % 169.26/169.08 [6181]P1(f317(f317(f225(a897),f317(a102,x61811)),f317(a102,x61812)))+~P1(f317(f317(f225(a897),x61811),x61812)) % 169.26/169.08 [6182]P1(f317(f317(f225(a897),f317(a20,x61821)),f317(a20,x61822)))+~P1(f317(f317(f225(a89),x61821),x61822)) % 169.26/169.08 [6183]P1(f317(f317(f225(a89),f317(a3,x61831)),f317(a3,x61832)))+~P1(f317(f317(f225(a897),x61831),x61832)) % 169.26/169.08 [6188]E(x61881,x61882)+~E(f317(f300(a897,a1,f90(a1)),x61881),f317(f300(a897,a1,f90(a1)),x61882)) % 169.26/169.08 [6204]P1(f317(f317(f224(a897),x62041),x62042))+~P1(f317(f317(f224(a897),f317(a102,x62041)),x62042)) % 169.26/169.08 [6207]P1(f317(f317(f225(a897),x62071),x62072))+~P1(f317(f317(f224(a897),f317(a102,x62071)),x62072)) % 169.26/169.08 [6208]P1(f317(f317(f225(a897),x62081),x62082))+~P1(f317(f317(f225(a897),f317(a102,x62081)),x62082)) % 169.26/169.08 [6228]E(f40(a1,x62281,x62282),f2(a1))+E(f317(f317(f23(a1),f40(a1,x62281,x62282)),x62282),f40(a1,x62281,f317(f73(a1),x62282))) % 169.26/169.08 [6297]E(f317(f29(f906(x62971,a894)),f317(f298(x62971),x62972)),f317(f317(f234(a897),f317(a102,f317(a102,f2(a897)))),f317(f29(x62971),x62972)))+~P1(f317(f28(x62971),x62972)) % 169.26/169.08 [6300]E(x63001,f103(x63002))+E(f317(f317(f154(x63002),x63001),f317(f317(f23(a897),f317(f179(f898(x63002)),x63001)),f72(a897))),f134(x63002,x63001)) % 169.26/169.08 [6322]E(x63221,f103(x63222))+E(f317(f317(f124(x63222),f317(f161(x63222),x63221)),f317(f317(f141(x63222),f317(f131(x63222),x63221)),f103(x63222))),f317(f157(x63222),x63221)) % 169.26/169.08 [6355]~P1(f317(f28(x63551),f31(f906(x63551,a894),x63552)))+P1(f317(f28(f906(x63551,a894)),x63552)) % 169.26/169.08 [6377]P1(f317(f317(f224(a897),f317(f94(a897),x63771)),f317(f94(a897),x63772)))+~P1(f317(f317(f224(a1),x63771),a77)) % 169.26/169.08 [6401]~P1(f317(f317(f225(a1),x64011),x64012))+P1(f317(f317(f224(a1),x64011),f317(f317(f23(a1),x64012),f72(a1)))) % 169.26/169.08 [6402]~P1(f317(f317(f224(a1),x64021),x64022))+P1(f317(f317(f225(a1),x64021),f317(f317(f74(a1),x64022),f72(a1)))) % 169.26/169.08 [6403]~P1(f317(f317(f225(a1),x64031),x64032))+P1(f317(f317(f225(a1),x64031),f317(f317(f74(a1),x64032),f72(a1)))) % 169.26/169.08 [6405]~P1(f317(f317(f224(a1),x64051),x64052))+P1(f317(f317(f224(a897),f317(f94(a897),x64051)),f317(f94(a897),x64052))) % 169.26/169.08 [6406]~P1(f317(f317(f224(a1),x64061),x64062))+P1(f317(f317(f224(a1),f317(f94(a1),x64061)),f317(f94(a1),x64062))) % 169.26/169.08 [6408]~P1(f317(f317(f224(a897),x64081),x64082))+P1(f317(f317(f224(a1),f317(f90(a1),x64081)),f317(f90(a1),x64082))) % 169.26/169.08 [6409]~P1(f317(f317(f225(a1),x64091),x64092))+P1(f317(f317(f225(a1),f317(f94(a1),x64091)),f317(f94(a1),x64092))) % 169.26/169.08 [6411]~P1(f317(f317(f225(a897),x64111),x64112))+P1(f317(f317(f225(a1),f317(f90(a1),x64111)),f317(f90(a1),x64112))) % 169.26/169.08 [6431]~P1(f317(f317(f224(a897),x64311),x64312))+~P1(f317(f317(f224(a897),f317(a102,x64312)),x64311)) % 169.26/169.08 [6474]~P1(f317(f317(f224(a897),f317(a102,x64741)),f317(a102,x64742)))+P1(f317(f317(f224(a897),x64741),x64742)) % 169.26/169.08 [6475]~P1(f317(f317(f224(a89),f317(a3,x64751)),f317(a3,x64752)))+P1(f317(f317(f224(a897),x64751),x64752)) % 169.26/169.08 [6476]~P1(f317(f317(f224(a897),f317(a20,x64761)),f317(a20,x64762)))+P1(f317(f317(f224(a89),x64761),x64762)) % 169.26/169.08 [6478]~P1(f317(f317(f225(a897),f317(a102,x64781)),f317(a102,x64782)))+P1(f317(f317(f225(a897),x64781),x64782)) % 169.26/169.08 [6479]~P1(f317(f317(f225(a89),f317(a3,x64791)),f317(a3,x64792)))+P1(f317(f317(f225(a897),x64791),x64792)) % 169.26/169.08 [6480]~P1(f317(f317(f225(a897),f317(a95,x64801)),f317(a95,x64802)))+P1(f317(f317(f225(a1),x64801),x64802)) % 169.26/169.08 [6481]~P1(f317(f317(f225(a897),f317(a20,x64811)),f317(a20,x64812)))+P1(f317(f317(f225(a89),x64811),x64812)) % 169.26/169.08 [6523]~P1(f317(f317(f225(a897),f317(a95,x65232)),f317(a95,x65231)))+P1(f317(f317(f225(a1),f2(a1)),x65231)) % 169.26/169.08 [6554]P1(f317(f317(f224(a1),f2(a1)),f40(a1,x65541,x65542)))+~P1(f317(f317(f225(a1),f2(a1)),x65542)) % 169.26/169.08 [6720]P39(x67201,x67202)+~E(f317(f317(f279(x67201,x67201,x67201),x67202),x67202),f178(f906(f905(x67201,x67201),a894))) % 169.26/169.08 [6736]~P39(x67361,x67362)+P39(x67361,f317(f317(f279(x67361,x67361,x67361),x67362),x67362)) % 169.26/169.08 [6747]P1(f317(f317(f224(a1),x67471),x67472))+~P1(f317(f317(f225(a1),x67471),f317(f317(f74(a1),x67472),f72(a1)))) % 169.26/169.08 [6748]P1(f317(f317(f225(a1),x67481),x67482))+~P1(f317(f317(f224(a1),x67481),f317(f317(f23(a1),x67482),f72(a1)))) % 169.26/169.08 [6751]P1(f317(f317(f224(a897),x67511),x67512))+~P1(f317(f317(f224(a1),f317(f90(a1),x67511)),f317(f90(a1),x67512))) % 169.26/169.08 [6752]P1(f317(f317(f224(a1),x67521),x67522))+~P1(f317(f317(f224(a1),f317(f94(a1),x67521)),f317(f94(a1),x67522))) % 169.26/169.08 [6754]P1(f317(f317(f225(a897),x67541),x67542))+~P1(f317(f317(f225(a1),f317(f90(a1),x67541)),f317(f90(a1),x67542))) % 169.26/169.08 [6755]P1(f317(f317(f225(a1),x67551),x67552))+~P1(f317(f317(f225(a897),f317(f94(a897),x67551)),f317(f94(a897),x67552))) % 169.26/169.08 [6756]P1(f317(f317(f225(a1),x67561),x67562))+~P1(f317(f317(f225(a1),f317(f94(a1),x67561)),f317(f94(a1),x67562))) % 169.26/169.08 [6829]~E(f280(a897,f277(a897),x68291,x68292),f178(f906(a897,a894)))+~P1(f317(f317(f277(a897),x68291),x68292)) % 169.26/169.08 [6856]~E(f675(x68562,x68561),f103(x68561))+E(f317(f132(f898(x68561),f898(x68561),f124(x68561),f103(x68561)),x68562),f103(x68561)) % 169.26/169.08 [6857]~E(f681(x68572,x68571),f103(x68571))+E(f317(f132(f898(x68571),f898(x68571),f124(x68571),f103(x68571)),x68572),f103(x68571)) % 169.26/169.08 [6861]~P8(x68611)+E(f317(f132(x68611,x68611,f92(x68611),f232(x68611)),x68612),f32(x68611,f317(f162(x68611),x68612))) % 169.26/169.08 [6862]~P8(x68621)+E(f317(f132(x68621,x68621,f91(x68621),f178(x68621)),x68622),f31(x68621,f317(f162(x68621),x68622))) % 169.26/169.08 [6876]E(x68761,f2(a89))+E(f317(f317(f74(a897),f317(a20,f317(f317(f23(a89),x68761),f72(a89)))),f317(a102,x68762)),f317(f317(f74(a897),f317(a20,x68761)),x68762)) % 169.26/169.08 [6925]P1(f317(f317(f225(a1),f317(f317(f23(a1),x69251),x69252)),f2(a1)))+~P1(f317(f317(f225(a1),x69251),x69252)) % 169.26/169.08 [6950]~P4(x69501)+E(f317(f317(f91(f906(x69501,a894)),f317(f317(f299(x69501),x69502),f178(f906(x69501,a894)))),f317(f294(x69501),x69502)),f317(f273(x69501),x69502)) % 169.26/169.08 [7029]~P62(x70291,x70292)+P39(x70291,f317(f252(f905(x70291,x70291)),f317(f247(x70291,x70291,a894),x70292))) % 169.26/169.08 [7030]~P62(x70301,x70302)+P60(x70301,f317(f252(f905(x70301,x70301)),f317(f247(x70301,x70301,a894),x70302))) % 169.26/169.08 [7031]~P52(x70311,x70312)+P40(x70311,f317(f252(f905(x70311,x70311)),f317(f247(x70311,x70311,a894),x70312))) % 169.26/169.08 [7032]~P53(x70321,x70322)+P54(x70321,f317(f252(f905(x70321,x70321)),f317(f247(x70321,x70321,a894),x70322))) % 169.26/169.08 [7033]E(x70331,f178(f906(x70332,a894)))+~P1(f317(f317(f224(f906(x70332,a894)),x70331),f178(f906(x70332,a894)))) % 169.26/169.08 [7117]~P1(f317(f317(f225(a897),f2(a897)),x71172))+P1(f317(f317(f224(a897),f40(a897,x71171,x71172)),x71172)) % 169.26/169.08 [7118]~P1(f317(f317(f224(a1),f2(a1)),x71181))+P1(f317(f317(f224(a1),f40(a1,x71181,x71182)),x71181)) % 169.26/169.08 [7119]~P1(f317(f317(f225(a897),f2(a897)),x71192))+P1(f317(f317(f225(a897),f40(a897,x71191,x71192)),x71192)) % 169.26/169.08 [7121]~P1(f317(f317(f225(a1),f2(a1)),x71212))+P1(f317(f317(f225(a1),f40(a1,x71211,x71212)),x71212)) % 169.26/169.08 [7197]~P109(x71971)+E(f317(f317(f23(f906(x71971,a894)),f317(f317(f299(x71971),x71972),f178(f906(x71971,a894)))),f317(f272(x71971),x71972)),f317(f317(f299(x71971),x71972),f178(f906(x71971,a894)))) % 169.26/169.08 [7272]~P45(x72721,x72722)+P55(x72721,f232(f906(x72721,a894)),f317(f252(f905(x72721,x72721)),f317(f247(x72721,x72721,a894),x72722))) % 169.26/169.08 [7273]P1(f317(x72731,x72732))+P1(f317(f317(f319(f906(f905(a897,a897),a894)),f510(x72732,x72731)),a88)) % 169.26/169.08 [7316]E(f317(f317(f124(a897),f129(a897,f317(f292(a897,x73161),x73162))),f317(f317(f141(a897),x73162),f103(a897))),f129(a897,f317(f292(a897,x73161),f317(a102,x73162))))+~P1(f317(f317(f224(a897),x73161),x73162)) % 169.26/169.08 [7468]E(x74681,f2(a897))+~E(f317(f132(a897,a897,f74(a897),x74681),x74682),f2(a897)) % 169.26/169.08 [7493]~P1(f317(f317(f225(a1),f317(f317(f23(a1),x74931),x74932)),f2(a1)))+P1(f317(f317(f225(a1),x74931),x74932)) % 169.26/169.08 [7522]P39(x75221,x75222)+~P39(x75221,f317(f317(f279(x75221,x75221,x75221),x75222),x75222)) % 169.26/169.08 [7547]~P1(f317(f317(f224(a897),f317(a102,x75471)),x75472))+P1(f175(a894,a229,f317(f224(a897),x75471),x75472)) % 169.26/169.08 [7702]P27(a897,a897,f317(f317(f7(a897,a897,a897),f23(a897)),x77021),x77022)+P1(f317(f317(f319(a897),f701(x77021,x77022)),x77022)) % 169.26/169.08 [7760]E(f317(f317(f317(f59(a897,x77601,f74(a897)),f317(f16(a897,x77601),f72(a897))),f2(a897)),x77602),f317(f29(x77601),x77602))+~P1(f317(f28(x77601),x77602)) % 169.26/169.08 [7802]P27(a897,a897,f317(f317(f7(a897,a897,a897),f23(a897)),x78021),x78022)+~P1(f317(f317(f224(a897),x78021),f701(x78021,x78022))) % 169.26/169.08 [7858]P39(x78581,x78582)+P1(f317(f317(f224(f906(x78581,a894)),f517(x78582,x78581)),f317(f275(x78581,x78581,x78582),f517(x78582,x78581)))) % 169.26/169.08 [7863]P62(x78631,x78632)+~P39(x78631,f317(f252(f905(x78631,x78631)),f317(f247(x78631,x78631,a894),x78632))) % 169.26/169.08 [7864]P52(x78641,x78642)+~P40(x78641,f317(f252(f905(x78641,x78641)),f317(f247(x78641,x78641,a894),x78642))) % 169.26/169.08 [7865]P53(x78651,x78652)+~P54(x78651,f317(f252(f905(x78651,x78651)),f317(f247(x78651,x78651,a894),x78652))) % 169.26/169.08 [7933]P1(f317(f317(f224(a897),f317(a102,x79331)),x79332))+~P1(f175(a894,a229,f317(f224(a897),x79331),x79332)) % 169.26/169.08 [7990]P1(f317(f317(f319(f905(a897,a897)),f317(f317(f242(a897,a897),x79901),x79902)),f297(a897,a307)))+~P1(f317(f317(f224(a897),x79901),x79902)) % 169.26/169.08 [8086]P45(x80861,x80862)+~P55(x80861,f232(f906(x80861,a894)),f317(f252(f905(x80861,x80861)),f317(f247(x80861,x80861,a894),x80862))) % 169.26/169.08 [8141]~P1(f317(f127(x81411),x81412))+P1(f317(f127(f906(x81411,a894)),f317(f317(f144(f898(x81411),f906(x81411,a894)),f162(x81411)),f49(x81411,x81412)))) % 169.26/169.08 [8342]~P39(x83421,f317(f276(x83421,x83421),x83422))+P39(x83421,f317(f276(x83421,x83421),f317(f317(f279(x83421,x83421,x83421),x83422),f297(x83421,x83422)))) % 169.26/169.08 [8354]P150(x83541,f317(f317(f299(a893),f317(a909,x83542)),f178(f906(a893,a894))))+~P150(f317(f317(f299(a893),f317(a909,x83542)),x83541),f317(f317(f299(a893),f910(f222(a895,f33(x83542)))),f178(f906(a893,a894)))) % 169.26/169.08 [8441]P28(x84411,a897,f802(x84412,x84411),x84412,f317(f292(a897,f2(a897)),f317(f29(x84411),x84412)))+~P1(f317(f28(x84411),x84412)) % 169.26/169.08 [8442]P28(a897,x84421,f803(x84422,x84421),f317(f292(a897,f2(a897)),f317(f29(x84421),x84422)),x84422)+~P1(f317(f28(x84421),x84422)) % 169.26/169.08 [8459]P28(a897,x84591,f804(x84592,x84591),f293(a897,f72(a897),f317(f29(x84591),x84592)),x84592)+~P1(f317(f28(x84591),x84592)) % 169.26/169.08 [8469]P1(f317(f28(f905(x84691,x84691)),f317(f317(f279(x84691,x84691,x84691),x84692),f297(x84691,x84692))))+~P1(f317(f28(f905(x84691,x84691)),x84692)) % 169.26/169.08 [8496]E(x84961,f2(a1))+P1(f317(f44(x84962,x84961),f317(f317(f242(a1,a1),f317(f317(f30(a1),x84962),x84961)),f40(a1,x84962,x84961)))) % 169.26/169.08 [8509]~P1(f317(f317(f319(f905(a897,a897)),f317(f317(f242(a897,a897),x85091),x85092)),f297(a897,a307)))+P1(f317(f317(f224(a897),x85091),x85092)) % 169.26/169.08 [8526]~P83(x85261)+E(f317(f132(x85261,x85261,f317(f7(x85261,x85261,x85261),f74(x85261)),f2(x85261)),f317(f158(x85261),x85262)),f317(f132(x85261,x85261,f74(x85261),f2(x85261)),x85262)) % 169.26/169.08 [8697]~P4(x86971)+E(f317(f132(f898(x86971),x86971,f317(f7(x86971,f898(x86971),f898(x86971)),f138(x86971,x86971,f5(x86971))),f103(x86971)),x86972),f140(x86971,x86971,f5(x86971),x86972)) % 169.26/169.08 [8808]~P60(x88081,f317(f252(f905(x88081,x88081)),f317(f247(x88081,x88081,a894),x88082)))+P60(x88081,f317(f252(f905(x88081,x88081)),f317(f247(x88081,x88081,a894),f233(x88081,x88081,x88082)))) % 169.26/169.08 [8822]P1(f317(f317(f319(f905(a897,a897)),f317(f317(f242(a897,a897),x88221),x88222)),f317(f317(f279(a897,a897,a897),a307),f297(a897,a307))))+~P1(f317(f317(f225(a897),x88221),x88222)) % 169.26/169.08 [8868]~P1(f317(f28(f905(x88681,x88681)),f317(f317(f279(x88681,x88681,x88681),x88682),f297(x88681,x88682))))+P1(f317(f28(f905(x88681,x88681)),x88682)) % 169.26/169.08 [8926]~P60(x89261,f317(f252(f905(x89261,x89261)),f317(f247(x89261,x89261,a894),f233(x89261,x89261,x89262))))+P60(x89261,f317(f252(f905(x89261,x89261)),f317(f247(x89261,x89261,a894),x89262))) % 169.26/169.08 [9124]P60(x91241,x91242)+P1(f317(f317(f319(f905(x91241,x91241)),f317(f317(f242(x91241,x91241),f555(x91242,x91241)),f555(x91242,x91241))),f317(f317(f279(x91241,x91241,x91241),x91242),f297(x91241,x91242)))) % 169.26/169.08 [9125]P60(x91251,x91252)+P1(f317(f317(f319(f905(x91251,x91251)),f317(f317(f242(x91251,x91251),f560(x91252,x91251)),f560(x91252,x91251))),f317(f317(f279(x91251,x91251,x91251),x91252),f297(x91251,x91252)))) % 169.26/169.08 [9242]~P1(f317(f317(f319(f905(a897,a897)),f317(f317(f242(a897,a897),x92421),x92422)),f317(f317(f279(a897,a897,a897),a307),f297(a897,a307))))+P1(f317(f317(f225(a897),x92421),x92422)) % 169.26/169.08 [5148]~P95(x51481)+E(f317(f317(f74(x51481),f317(f94(x51481),a77)),x51482),x51482) % 169.26/169.08 [5178]~P70(x51781)+E(f317(f317(f74(x51781),f317(f73(x51781),x51782)),x51782),f2(x51781)) % 169.26/169.08 [5179]~P78(x51791)+E(f317(f317(f74(x51791),f317(f73(x51791),x51792)),x51792),f2(x51791)) % 169.26/169.08 [5180]~P98(x51801)+E(f317(f317(f91(x51801),f317(f73(x51801),x51802)),x51802),f232(x51801)) % 169.26/169.08 [5181]~P98(x51811)+E(f317(f317(f92(x51811),f317(f73(x51811),x51812)),x51812),f178(x51811)) % 169.26/169.08 [5214]~P95(x52141)+E(f317(f317(f75(x52141),f317(f94(x52141),a87)),x52142),f317(f73(x52141),x52142)) % 169.26/169.08 [5371]~P114(x53711)+E(f317(f317(f75(x53711),f317(f73(x53711),f72(x53711))),x53712),f317(f73(x53711),x53712)) % 169.26/169.08 [5417]E(f317(f70(a1),x54171),f72(a1))+~E(f317(f70(a1),f317(f317(f75(a1),x54171),x54172)),f72(a1)) % 169.26/169.08 [5509]~P95(x55091)+E(f317(f317(f74(x55091),f72(x55091)),f317(f94(x55091),x55092)),f317(f94(x55091),f317(f317(f23(a1),x55092),a87))) % 169.26/169.08 [5562]~P4(x55621)+E(f14(x55621,f317(f317(f299(x55621),x55622),f178(f906(x55621,a894)))),x55622) % 169.26/169.08 [5563]~P4(x55631)+E(f15(x55631,f317(f317(f299(x55631),x55632),f178(f906(x55631,a894)))),x55632) % 169.26/169.08 [5564]~P101(x55641)+E(f13(x55641,f317(f317(f299(x55641),x55642),f178(f906(x55641,a894)))),x55642) % 169.26/169.08 [5565]~P101(x55651)+E(f10(x55651,f317(f317(f299(x55651),x55652),f178(f906(x55651,a894)))),x55652) % 169.26/169.08 [5566]~P8(x55661)+E(f32(x55661,f317(f317(f299(x55661),x55662),f178(f906(x55661,a894)))),x55662) % 169.26/169.08 [5567]~P8(x55671)+E(f31(x55671,f317(f317(f299(x55671),x55672),f178(f906(x55671,a894)))),x55672) % 169.26/169.08 [5589]E(f317(f317(f74(a897),x55891),f317(f317(f23(a897),x55892),x55891)),x55892)+P1(f317(f317(f225(a897),x55892),x55891)) % 169.26/169.08 [5627]E(x56271,f103(x56272))+P1(f317(f317(f225(a897),f2(a897)),f317(f179(f898(x56272)),x56271))) % 169.26/169.08 [5753]~P4(x57531)+E(f11(x57531,f228(x57531),f317(f317(f299(x57531),x57532),f178(f906(x57531,a894)))),x57532) % 169.26/169.08 [5754]~P4(x57541)+E(f12(x57541,f223(x57541),f317(f317(f299(x57541),x57542),f178(f906(x57541,a894)))),x57542) % 169.26/169.08 [5815]E(f317(f317(f23(a897),x58151),f317(f317(f23(a897),x58151),x58152)),x58152)+~P1(f317(f317(f224(a897),x58152),x58151)) % 169.26/169.08 [5816]E(f317(f317(f74(a897),x58161),f317(f317(f23(a897),x58162),x58161)),x58162)+~P1(f317(f317(f224(a897),x58161),x58162)) % 169.26/169.08 [5838]E(f40(a897,f317(f317(f23(a897),x58381),x58382),x58382),f40(a897,x58381,x58382))+P1(f317(f317(f225(a897),x58381),x58382)) % 169.26/169.08 [5849]E(f317(f73(a1),f317(f317(f30(a1),x58491),f317(f73(a1),x58492))),f283(x58491,x58492))+P1(f317(f317(f224(a1),f2(a1)),x58492)) % 169.26/169.08 [5851]~E(x58512,f2(a897))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f234(a897),x58511),x58512))) % 169.26/169.08 [5914]~P95(x59141)+E(f317(f317(f74(x59141),f317(f73(x59141),f72(x59141))),f317(f94(x59141),x59142)),f317(f94(x59141),f317(f317(f74(a1),x59142),a87))) % 169.26/169.08 [5916]E(f317(f317(f234(a897),f317(f94(a897),x59161)),x59162),f317(f317(f234(a897),f2(a897)),x59162))+~P1(f317(a183,f317(f94(a1),x59161))) % 169.26/169.08 [6024]E(f317(f131(a897),f129(a897,f317(f292(a897,x60241),x60242))),x60241)+~P1(f317(f317(f225(a897),x60241),x60242)) % 169.26/169.08 [6040]E(f317(f317(f75(a897),f317(f94(a897),x60401)),f317(f94(a897),x60402)),f317(f94(a897),f317(f317(f75(a1),x60401),x60402)))+P1(f317(f317(f225(a1),x60401),a77)) % 169.26/169.08 [6046]~P126(x60461)+P1(f317(f317(f224(x60461),f2(x60461)),f317(f317(f75(x60461),x60462),x60462))) % 169.26/169.08 [6058]E(f317(f317(f23(a897),f317(a102,x60581)),x60582),f317(a102,f317(f317(f23(a897),x60581),x60582)))+~P1(f317(f317(f224(a897),x60582),x60581)) % 169.26/169.08 [6062]E(f40(a897,f317(f317(f23(a897),x60621),x60622),x60622),f40(a897,x60621,x60622))+~P1(f317(f317(f224(a897),x60622),x60621)) % 169.26/169.08 [6116]E(f317(f317(f234(a897),f317(a95,x61161)),x61162),f317(a95,f317(f317(f234(a1),x61161),x61162)))+~P1(f317(f317(f224(a1),f2(a1)),x61161)) % 169.26/169.08 [6134]P1(f317(f127(x61341),x61342))+P1(f317(f317(f225(a897),f645(x61342,x61341)),f317(f179(f898(x61341)),x61342))) % 169.26/169.08 [6135]P1(f317(f127(x61351),x61352))+P1(f317(f317(f225(a897),f649(x61352,x61351)),f317(f179(f898(x61351)),x61352))) % 169.26/169.08 [6149]~E(x61491,f103(x61492))+~P1(f317(f317(f225(a897),f2(a897)),f317(f179(f898(x61492)),x61491))) % 169.26/169.08 [6160]E(f134(a897,f129(a897,f317(f292(a897,x61601),x61602))),f317(f317(f23(a897),x61602),f72(a897)))+~P1(f317(f317(f225(a897),x61601),x61602)) % 169.26/169.08 [6163]E(f317(f317(f74(a1),x61631),f317(f90(a1),f317(a102,f776(x61632,x61631)))),x61632)+~P1(f317(f317(f225(a1),x61631),x61632)) % 169.26/169.08 [6170]E(x61701,f2(a897))+E(f317(f317(f75(a897),x61702),f317(f317(f234(a897),x61702),f317(f317(f23(a897),x61701),f72(a897)))),f317(f317(f234(a897),x61702),x61701)) % 169.26/169.08 [6198]E(f317(f317(f75(a897),f317(a95,x61981)),f317(a95,x61982)),f317(a95,f317(f317(f75(a1),x61981),x61982)))+~P1(f317(f317(f224(a1),f2(a1)),x61981)) % 169.26/169.08 [6199]E(f317(f317(f30(a897),f317(a95,x61991)),f317(a95,x61992)),f317(a95,f317(f317(f30(a1),x61991),x61992)))+~P1(f317(f317(f224(a1),f2(a1)),x61991)) % 169.26/169.08 [6214]~P112(x62141)+E(f317(f317(f74(x62141),x62142),x62142),f317(f317(f75(x62141),f317(f317(f74(x62141),f72(x62141)),f72(x62141))),x62142)) % 169.26/169.08 [6237]E(f317(f317(f23(a1),f317(f90(a1),x62371)),f317(f90(a1),x62372)),f317(f90(a1),f317(f317(f23(a897),x62371),x62372)))+~P1(f317(f317(f224(a897),x62372),x62371)) % 169.26/169.08 [6239]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x62391),x62392)),f45(x62391,x62392))+~P1(f317(f317(f224(a1),x62392),f2(a1))) % 169.26/169.08 [6273]E(f169(x62731,x62732),f103(f898(x62731)))+P1(f317(f317(f319(f898(x62731)),f644(x62732,x62731)),f317(f162(f898(x62731)),x62732))) % 169.26/169.08 [6284]E(f106(a1,f317(f119(a1),x62841),f118(x62842,f317(f317(f74(a1),x62841),f72(a1)))),f118(x62842,x62841))+P1(f317(f317(f225(a1),x62842),x62841)) % 169.26/169.08 [6339]~P1(f317(f317(f277(a897),x63391),x63392))+P1(f317(f317(f277(a897),x63391),f317(f317(f74(a897),x63392),x63391))) % 169.26/169.08 [6361]E(f317(f317(f141(a1),x63611),f168(f317(f317(f74(a1),x63611),f72(a1)),x63612)),f168(x63611,x63612))+~P1(f317(f317(f224(a1),x63611),x63612)) % 169.26/169.08 [6383]P150(x63831,x63832)+~P1(f317(f317(f224(f906(a893,a894)),x63832),x63831)) % 169.26/169.08 [6404]~P1(f317(f317(f225(a897),x64042),x64041))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f23(a897),x64041),x64042))) % 169.26/169.08 [6436]~P1(f317(f317(f225(a897),x64361),f317(a95,x64362)))+P1(f317(f317(f225(a1),f317(f90(a1),x64361)),x64362)) % 169.26/169.08 [6465]~P4(x64651)+E(f317(f317(f91(f906(x64651,a894)),f317(f272(x64651),x64652)),f317(f317(f299(x64651),x64652),f178(f906(x64651,a894)))),f317(f291(x64651),x64652)) % 169.26/169.08 [6466]~P1(f317(f317(f224(a1),f2(a1)),x64661))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f234(a1),x64661),x64662))) % 169.26/169.08 [6469]~P1(f317(f317(f225(a897),f2(a897)),x64691))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f234(a897),x64691),x64692))) % 169.26/169.08 [6496]~E(f317(x64961,f2(a897)),f2(a897))+E(f317(f317(f6(a897,a897),x64961),f293(a897,f317(a102,f2(a897)),x64962)),f317(f317(f6(a897,a897),x64961),f293(a897,f2(a897),x64962))) % 169.26/169.08 [6562]~P95(x65621)+E(f317(f317(f75(x65621),f317(f317(f74(x65621),f72(x65621)),f72(x65621))),f317(f94(x65621),x65622)),f317(f94(x65621),f317(f317(f74(a1),x65622),x65622))) % 169.26/169.08 [6582]E(f317(f317(f299(a1),x65821),f293(a1,f317(f317(f74(a1),x65821),f72(a1)),x65822)),f293(a1,x65821,x65822))+P1(f317(f317(f225(a1),x65822),x65821)) % 169.26/169.08 [6583]P1(f317(f317(f225(a897),x65831),f317(a95,x65832)))+~P1(f317(f317(f225(a1),f317(f90(a1),x65831)),x65832)) % 169.26/169.08 [6683]P1(f317(f317(f277(a897),x66831),x66832))+~P1(f317(f317(f277(a897),x66831),f317(f317(f74(a897),x66832),x66831))) % 169.26/169.08 [6689]E(f317(a95,f317(f317(f30(a1),f317(f94(a1),x66891)),f317(f94(a1),x66892))),f317(f317(f30(a897),f317(f94(a897),x66891)),f317(f94(a897),x66892)))+P1(f317(a183,f317(f94(a1),x66891))) % 169.26/169.08 [6749]P1(f317(f317(f225(a897),x67491),x67492))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f23(a897),x67492),x67491))) % 169.26/169.08 [6792]P1(f317(f317(f225(a897),f2(a897)),x67921))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f75(a897),x67922),x67921))) % 169.26/169.08 [6793]P1(f317(f317(f225(a897),f2(a897)),x67931))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f75(a897),x67931),x67932))) % 169.26/169.08 [6812]~P1(f317(f317(f224(a1),x68121),f2(a1)))+E(f317(f317(f75(a897),f317(a95,f317(f73(a1),x68121))),f317(a95,f317(f73(a1),x68122))),f317(a95,f317(f317(f75(a1),x68121),x68122))) % 169.26/169.08 [6873]~E(x68732,f178(f906(x68731,a894)))+P1(f317(f317(f224(f906(x68731,a894)),x68732),f317(f73(f906(x68731,a894)),x68732))) % 169.26/169.08 [6935]~P95(x69351)+E(f317(f317(f74(x69351),f317(f317(f74(x69351),f2(x69351)),f317(f94(x69351),x69352))),f317(f94(x69351),x69352)),f317(f94(x69351),f317(f317(f74(a1),x69352),x69352))) % 169.26/169.08 [6991]~P1(f317(f317(f225(a1),x69911),x69912))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x69911),f72(a1))),x69912)) % 169.26/169.08 [7062]E(x70621,f2(a897))+~P1(f317(f317(f224(a1),f317(f90(a1),x70622)),f317(f73(a1),f317(f90(a1),x70621)))) % 169.26/169.08 [7063]E(x70631,f2(a897))+~P1(f317(f317(f224(a1),f317(f90(a1),x70631)),f317(f73(a1),f317(f90(a1),x70632)))) % 169.26/169.08 [7165]E(f317(f317(f242(a1,a1),f317(f94(a1),a87)),f317(f317(f74(a1),x71651),x71652)),f45(x71651,x71652))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x71651),x71652))) % 169.26/169.08 [7209]~P29(x72091,x72092)+P39(x72091,f317(f241(f906(f905(x72091,x72091),a894),f906(f905(x72091,x72091),a894)),x72092)) % 169.26/169.08 [7228]~P1(f317(f317(f224(a897),f317(a102,f2(a897))),x72281))+P1(f317(f317(f224(a897),f317(a102,f2(a897))),f317(f317(f234(a897),x72281),x72282))) % 169.26/169.08 [7406]~P1(f317(f317(f224(a1),x74061),x74062))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x74061),x74061)),f317(f317(f74(a1),x74062),x74062))) % 169.26/169.08 [7411]~P1(f317(f317(f225(a1),x74111),x74112))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x74111),x74111)),f317(f317(f74(a1),x74112),x74112))) % 169.26/169.08 [7469]~P1(f317(f317(f225(a897),f2(a897)),x74691))+P1(f317(f317(f225(a897),f317(f317(f23(a897),x74691),f317(a102,x74692))),x74691)) % 169.26/169.08 [7504]P1(f317(f317(f224(a897),f317(a102,f2(a897))),x75041))+~P1(f317(f317(f224(a897),f317(a102,f2(a897))),f317(f317(f75(a897),x75042),x75041))) % 169.26/169.08 [7505]P1(f317(f317(f224(a897),f317(a102,f2(a897))),x75051))+~P1(f317(f317(f224(a897),f317(a102,f2(a897))),f317(f317(f75(a897),x75051),x75052))) % 169.26/169.08 [7509]P1(f317(f317(f224(a897),f317(f317(f154(a897),x75091),x75092)),f317(f155(a897),x75091)))+~P1(f317(f317(f225(a897),x75092),f317(f179(f898(a897)),x75091))) % 169.26/169.08 [7546]P1(f317(f317(f225(a1),x75461),x75462))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x75461),f72(a1))),x75462)) % 169.26/169.08 [7587]P1(f317(f28(x75871),f232(f906(x75871,a894))))+~P1(f317(f28(f906(x75872,x75871)),f232(f906(f906(x75872,x75871),a894)))) % 169.26/169.08 [7588]P1(f317(f28(x75881),f232(f906(x75881,a894))))+~P1(f317(f28(f904(x75882,x75881)),f232(f906(f904(x75882,x75881),a894)))) % 169.26/169.08 [7589]P1(f317(f28(x75891),f232(f906(x75891,a894))))+~P1(f317(f28(f904(x75891,x75892)),f232(f906(f904(x75891,x75892),a894)))) % 169.26/169.08 [7629]E(x76291,f178(f906(x76292,a894)))+~P1(f317(f317(f224(f906(x76292,a894)),x76291),f317(f73(f906(x76292,a894)),x76291))) % 169.26/169.08 [7770]E(f317(f132(f898(x77701),f898(x77701),f124(x77701),f103(x77701)),x77702),f103(x77701))+P1(f317(f317(f319(f898(x77701)),f675(x77702,x77701)),f317(f162(f898(x77701)),x77702))) % 169.26/169.08 [7771]E(f317(f132(f898(x77711),f898(x77711),f124(x77711),f103(x77711)),x77712),f103(x77711))+P1(f317(f317(f319(f898(x77711)),f681(x77712,x77711)),f317(f162(f898(x77711)),x77712))) % 169.26/169.08 [8008]P1(f317(f317(f224(a1),x80081),x80082))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x80081),x80081)),f317(f317(f74(a1),x80082),x80082))) % 169.26/169.08 [8013]P1(f317(f317(f225(a1),x80131),x80132))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x80131),x80131)),f317(f317(f74(a1),x80132),x80132))) % 169.26/169.08 [8106]~P112(x81061)+E(f317(f317(f75(x81061),f317(f317(f74(x81061),f72(x81061)),f72(x81061))),f317(f317(f6(a897,x81061),f90(x81061)),f293(a897,f72(a897),x81062))),f317(f317(f75(x81061),f317(f90(x81061),x81062)),f317(f317(f74(x81061),f317(f90(x81061),x81062)),f72(x81061)))) % 169.26/169.08 [8155]P1(f317(f317(f319(a897),x81551),x81552))+~P1(f317(f317(f319(a1),f317(f90(a1),x81551)),f317(f300(a897,a1,f90(a1)),x81552))) % 169.26/169.08 [8314]~P1(f317(f28(x83141),x83142))+E(f317(f300(a897,x83141,f493(x83142,x83141)),f317(f252(a897),f317(f317(f7(a897,a897,a894),f225(a897)),f494(x83142,x83141)))),x83142) % 169.26/169.08 [8594]P56(x85941,x85942)+P1(f317(f317(f319(f905(x85941,x85941)),f317(f317(f242(x85941,x85941),f333(x85942,x85941)),f333(x85942,x85941))),x85942)) % 169.26/169.08 [8595]P40(x85951,x85952)+P1(f317(f317(f319(f905(x85951,x85951)),f317(f317(f242(x85951,x85951),f769(x85952,x85951)),f771(x85952,x85951))),x85952)) % 169.26/169.08 [8596]P40(x85961,x85962)+P1(f317(f317(f319(f905(x85961,x85961)),f317(f317(f242(x85961,x85961),f771(x85962,x85961)),f772(x85962,x85961))),x85962)) % 169.26/169.08 [8597]P41(x85971,x85972)+P1(f317(f317(f319(f905(x85971,x85971)),f317(f317(f242(x85971,x85971),f685(x85972,x85971)),f684(x85972,x85971))),x85972)) % 169.26/169.08 [8598]P41(x85981,x85982)+P1(f317(f317(f319(f905(x85981,x85981)),f317(f317(f242(x85981,x85981),f684(x85982,x85981)),f685(x85982,x85981))),x85982)) % 169.26/169.08 [8599]P54(x85991,x85992)+P1(f317(f317(f319(f905(x85991,x85991)),f317(f317(f242(x85991,x85991),f782(x85992,x85991)),f783(x85992,x85991))),x85992)) % 169.26/169.08 [8740]~P95(x87401)+E(f317(f317(f23(x87401),f72(x87401)),f317(f94(x87401),x87402)),f317(f94(x87401),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x87402)))) % 169.26/169.08 [8865]~P1(f317(f317(f225(f906(a897,a894)),x88651),x88652))+P1(f317(f317(f225(f906(a1,a894)),f317(f300(a897,a1,f90(a1)),x88651)),f317(f300(a897,a1,f90(a1)),x88652))) % 169.26/169.08 [8899]~P1(f317(f317(f225(a1),x88991),x88992))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x88991),x88991)),a87)),f317(f317(f74(a1),x88992),x88992))) % 169.26/169.08 [8901]~P1(f317(f317(f225(a1),x89011),x89012))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x89011),x89011)),a87)),f317(f317(f74(a1),x89012),x89012))) % 169.26/169.08 [8974]~P1(f317(f317(f319(a897),x89741),f317(f162(a897),x89742)))+P1(f317(f317(f224(a897),x89741),f317(f132(a897,a897,f74(a897),f2(a897)),x89742))) % 169.26/169.08 [9063]P48(x90631,x90632)+~P1(f317(f317(f319(f905(x90631,x90631)),f317(f317(f242(x90631,x90631),f880(x90632,x90631)),f880(x90632,x90631))),x90632)) % 169.26/169.08 [9064]P40(x90641,x90642)+~P1(f317(f317(f319(f905(x90641,x90641)),f317(f317(f242(x90641,x90641),f769(x90642,x90641)),f772(x90642,x90641))),x90642)) % 169.26/169.08 [9065]P54(x90651,x90652)+~P1(f317(f317(f319(f905(x90651,x90651)),f317(f317(f242(x90651,x90651),f783(x90652,x90651)),f782(x90652,x90651))),x90652)) % 169.26/169.08 [9205]~P1(f317(f317(f224(f906(a1,a894)),f317(f300(a897,a1,f90(a1)),x92051)),f317(f300(a897,a1,f90(a1)),x92052)))+P1(f317(f317(f224(f906(a897,a894)),x92051),x92052)) % 169.26/169.08 [9206]~P1(f317(f317(f225(f906(a1,a894)),f317(f300(a897,a1,f90(a1)),x92061)),f317(f300(a897,a1,f90(a1)),x92062)))+P1(f317(f317(f225(f906(a897,a894)),x92061),x92062)) % 169.26/169.08 [9291]P1(f317(f317(f225(a1),x92911),x92912))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92911),x92911)),a87)),f317(f317(f74(a1),x92912),x92912))) % 169.26/169.08 [9293]P1(f317(f317(f225(a1),x92931),x92932))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x92931),x92931)),a87)),f317(f317(f74(a1),x92932),x92932))) % 169.26/169.08 [10193]~P107(x101931)+E(f106(f898(x101931),f317(f119(f898(x101931)),f103(x101931)),f317(f317(f317(f86(f899(f898(x101931))),f317(f317(f225(a1),f2(a1)),x101932)),f317(f108(f905(x101931,f898(x101931)),f898(x101931),f121(x101931,f898(x101931),f122(x101931,f317(f317(f23(a1),x101932),f72(a1))),f122(f898(x101931),f317(f317(f23(a1),x101932),f72(a1))))),f317(f247(x101931,f898(x101931),f899(f898(x101931))),f317(f317(f8(f906(f898(x101931),f898(x101931)),f906(f898(x101931),f899(f898(x101931))),x101931),f317(f8(f898(x101931),f899(f898(x101931)),f898(x101931)),f119(f898(x101931)))),f141(x101931))))),f105(f898(x101931)))),f122(f898(x101931),x101932)) % 169.26/169.08 [10215]~P1(f317(f28(x102151),x102152))+E(f317(f179(f898(x102151)),f84(f898(x102151),f317(f317(f18(f898(x102151),a894,a894),f317(f317(f8(a894,f906(a894,a894),f898(x102151)),a315),f317(f317(f7(f898(x102151),f906(x102151,a894),a894),f317(f317(f8(f906(x102151,a894),f906(f906(x102151,a894),a894),f898(x102151)),a314),f162(x102151))),x102152))),f127(x102151)))),f204(x102151,x102152)) % 169.26/169.08 [6159]E(f317(f317(f74(a897),f317(f317(f23(a897),x61591),x61592)),x61592),x61591)+~P1(f317(f317(f224(a897),x61592),x61591)) % 169.26/169.08 [6233]E(f317(f317(f30(a897),f317(f317(f75(a897),x62331),x62332)),x62332),x62331)+~P1(f317(f317(f225(a897),f2(a897)),x62332)) % 169.26/169.08 [6234]E(f317(f317(f30(a897),f317(f317(f75(a897),x62341),x62342)),x62341),x62342)+~P1(f317(f317(f225(a897),f2(a897)),x62341)) % 169.26/169.08 [6238]~P76(x62381)+E(f317(f317(f6(a897,x62381),f317(f154(x62381),x62382)),f317(f292(a897,f2(a897)),f317(f179(f898(x62381)),x62382))),f317(f155(x62381),x62382)) % 169.26/169.08 [6353]E(f40(a897,f317(a102,f317(f317(f75(a897),x63531),x63532)),x63531),f72(a897))+~P1(f317(f317(f225(a897),f72(a897)),x63531)) % 169.26/169.08 [6359]E(f317(a102,f317(f317(f74(a897),f317(f94(a897),x63591)),x63592)),f317(f317(f74(a897),f72(a897)),x63592))+~P1(f317(a183,f317(f94(a1),x63591))) % 169.26/169.08 [6389]E(f317(a95,f317(f317(f234(a1),f317(f94(a1),x63891)),x63892)),f317(f317(f234(a897),f317(f94(a897),x63891)),x63892))+P1(f317(a183,f317(f94(a1),x63891))) % 169.26/169.08 [6637]E(f317(f317(f23(a897),x66371),f317(f94(a897),f317(f317(f74(a1),x66372),a87))),f317(f317(f23(a897),f317(a102,x66371)),f317(f94(a897),x66372)))+~P1(f317(f317(f225(a1),a77),x66372)) % 169.26/169.08 [6719]E(x67191,f2(a897))+E(f317(a102,f317(f317(f74(a897),f317(f317(f23(a897),x67191),f72(a897))),x67192)),f317(f317(f74(a897),x67191),x67192)) % 169.26/169.08 [6762]E(x67621,f2(a1))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67621)),x67622))) % 169.26/169.08 [6777]~E(x67772,f2(a897))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x67771)),x67772))) % 169.26/169.08 [6815]E(x68151,f2(a897))+E(f317(f317(f74(a897),x68152),f317(f317(f75(a897),f317(f317(f23(a897),x68151),f72(a897))),x68152)),f317(f317(f75(a897),x68151),x68152)) % 169.26/169.08 [6866]~P1(f317(f317(f224(a1),x68661),x68662))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x68661),a87)),x68662)) % 169.26/169.08 [6995]E(f317(f317(f141(a897),x69951),f129(a897,f317(f292(a897,f317(a102,x69951)),x69952))),f129(a897,f317(f292(a897,x69951),x69952)))+~P1(f317(f317(f225(a897),x69951),x69952)) % 169.26/169.08 [7200]E(x72001,x72002)+~E(f317(f317(f23(a1),f317(f317(f74(a1),x72001),x72001)),a87),f317(f317(f23(a1),f317(f317(f74(a1),x72002),x72002)),a87)) % 169.26/169.08 [7203]E(x72031,f103(x72032))+E(f256(x72032,f317(f317(f144(x72032,f905(a89,x72032)),f317(f242(a89,x72032),f72(a89))),x72031)),f265(x72032,x72031)) % 169.26/169.08 [7439]P1(f317(f317(f224(a1),x74391),x74392))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x74391),a87)),x74392)) % 169.26/169.08 [7912]~P1(f317(f317(f225(a897),x79121),x79122))+P1(f317(f317(f319(f905(a897,a897)),f317(f317(f242(a897,a897),x79121),x79122)),a230)) % 169.26/169.08 [8132]~P1(f317(f317(f225(a89),f2(a89)),x81321))+P1(f317(f317(f225(a89),f317(f241(a89,f905(a89,a89)),f317(f257(x81321),x81322))),x81321)) % 169.26/169.08 [8396]~P40(x83961,x83962)+P40(x83961,f317(f317(f91(f906(f905(x83961,x83961),a894)),x83962),f297(x83961,f178(f906(f905(x83961,x83961),a894))))) % 169.26/169.08 [8397]~P41(x83971,x83972)+P41(x83971,f317(f317(f91(f906(f905(x83971,x83971),a894)),x83972),f297(x83971,f178(f906(f905(x83971,x83971),a894))))) % 169.26/169.08 [8445]~P89(x84451)+P1(f317(f317(f224(x84451),f317(f70(x84451),f317(f155(x84451),x84452))),f317(f155(x84451),f317(f317(f144(x84451,x84451),f70(x84451)),x84452)))) % 169.26/169.08 [8471]P1(f317(f317(f225(a897),x84711),x84712))+~P1(f317(f317(f319(f905(a897,a897)),f317(f317(f242(a897,a897),x84711),x84712)),a230)) % 169.26/169.08 [8618]E(f317(f317(f242(x86181,x86181),f568(x86182,x86181)),f568(x86182,x86181)),x86182)+~P1(f317(f317(f319(f905(x86181,x86181)),x86182),f297(x86181,f178(f906(f905(x86181,x86181),a894))))) % 169.26/169.08 [8662]E(f317(f292(a897,x86621),f317(f317(f74(a897),x86621),f317(f29(a897),x86622))),x86622)+~P1(f317(f317(f224(f906(a897,a894)),x86622),f317(f292(a897,x86621),f317(f317(f74(a897),x86621),f317(f29(a897),x86622))))) % 169.26/169.08 [8892]P41(x88921,x88922)+~P41(x88921,f317(f317(f91(f906(f905(x88921,x88921),a894)),x88922),f297(x88921,f178(f906(f905(x88921,x88921),a894))))) % 169.26/169.08 [9018]E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x90181),x90181)),a87))),f317(f94(a1),f317(f317(f74(a1),x90182),x90182))),f317(f317(f30(a1),f317(f94(a1),x90181)),f317(f94(a1),x90182)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x90182))) % 169.26/169.08 [9108]~P40(x91081,x91082)+P1(f317(f317(f224(f906(f905(x91081,x91081),a894)),f317(f317(f279(x91081,x91081,x91081),x91082),x91082)),x91082)) % 169.26/169.08 [9135]E(f167(f898(x91351),f317(f317(f8(a894,a894,f898(x91351)),a312),f317(f317(f7(f898(x91351),f898(x91351),a894),a314),f103(x91351))),x91352),f169(x91351,f169(x91351,x91352)))+~P16(a897,f317(f158(a897),f317(f317(f144(f898(x91351),a897),f179(f898(x91351))),x91352))) % 169.26/169.08 [9138]E(f317(f317(f30(a1),f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x91381),x91381)),a87))),f317(f94(a1),f317(f317(f74(a1),x91382),x91382))),f317(f317(f30(a1),f317(f317(f74(a1),f317(f94(a1),x91381)),f72(a1))),f317(f94(a1),x91382)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x91382))) % 169.26/169.08 [9990]P1(f317(a183,x99902))+E(f317(f317(f80(a1,a897),f317(f317(f23(a1),x99901),x99902)),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f906(a897,a897)),f317(f317(f8(a894,f906(a897,f906(a897,a897)),a1),f86(a897)),a183)),f2(a897))),a95)),f317(f317(f23(a897),f317(a95,x99901)),f317(a95,x99902))) % 169.26/169.08 [9998]E(f317(f317(f80(a1,a897),f317(f94(a1),f317(f317(f74(a1),x99981),f317(f73(a1),x99982)))),f317(f317(f18(a1,a897,a897),f317(f317(f7(a1,a897,f906(a897,a897)),f317(f317(f8(a894,f906(a897,f906(a897,a897)),a1),f86(a897)),a183)),f2(a897))),a95)),f317(f317(f23(a897),f317(f94(a897),x99981)),f317(f94(a897),x99982)))+P1(f317(f317(f225(a1),x99982),a77)) % 169.26/169.08 [9999]~P29(x99991,x99992)+P1(f317(f317(f224(f906(f905(x99991,x99991),a894)),f317(f317(f279(x99991,x99991,x99991),f317(f241(f906(f905(x99991,x99991),a894),f906(f905(x99991,x99991),a894)),x99992)),f317(f246(f906(f905(x99991,x99991),a894),f906(f905(x99991,x99991),a894)),x99992))),f317(f241(f906(f905(x99991,x99991),a894),f906(f905(x99991,x99991),a894)),x99992))) % 169.26/169.08 [10054]~E(f317(f29(a897),f317(f252(a897),f317(f317(f18(a897,a894,a894),f317(f317(f8(a894,f906(a894,a894),a897),a315),f317(f317(f7(a897,f906(a897,a894),a894),f319(a897)),x100541))),f317(f317(f7(a897,a897,a894),f225(a897)),f317(a102,x100542))))),f2(a897))+~P1(f317(f317(f319(a897),f2(a897)),x100541)) % 169.26/169.08 [10065]E(f289(a897,f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x100651,x100652),f178(f906(a897,a894)))+~P1(f317(f317(f277(a897),x100652),x100651)) % 169.26/169.08 [10070]E(f287(a897,f277(a897),f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x100701,x100702),f178(f906(a897,a894)))+P1(f317(f317(f277(a897),x100701),x100702)) % 169.26/169.08 [10071]E(f290(a897,f277(a897),f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x100711,x100712),f178(f906(a897,a894)))+P1(f317(f317(f277(a897),x100711),x100712)) % 169.26/169.08 [10075]E(f287(a897,f277(a897),f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x100751,x100752),f178(f906(a897,a894)))+~P1(f317(f317(f277(a897),x100752),x100751)) % 169.26/169.08 [10077]E(f290(a897,f277(a897),f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x100771,x100772),f178(f906(a897,a894)))+~P1(f317(f317(f277(a897),x100772),x100771)) % 169.26/169.08 [10120]E(f40(a1,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x101201),x101201)),a87)),f317(f94(a1),f317(f317(f74(a1),x101202),x101202))),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),x101201),f317(f94(a1),x101202)))),f72(a1)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x101202))) % 169.26/169.08 [10129]E(f40(a1,f317(f94(a1),f317(f317(f23(a1),f317(f317(f74(a1),x101291),x101291)),a87)),f317(f94(a1),f317(f317(f74(a1),x101292),x101292))),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),x101291)),f72(a1)),f317(f94(a1),x101292)))),f72(a1)))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x101292))) % 169.26/169.08 [10184]~P8(x101841)+E(f31(x101841,f317(f252(x101841),f317(f317(f8(f906(x101841,a894),a894,x101841),f82(x101841)),f317(f317(f8(f906(x101841,a894),f906(x101841,a894),x101841),f317(f18(x101841,a894,a894),f317(f317(f8(a894,f906(a894,a894),x101841),a320),f317(f317(f7(x101841,f906(x101841,a894),a894),f319(x101841)),x101842)))),f224(x101841))))),f32(x101841,x101842)) % 169.26/169.08 [10208]~P39(x102081,x102082)+P62(x102081,f317(f317(f7(x102081,f906(f905(x102081,x102081),a894),f906(x102081,a894)),f317(f317(f8(f906(x102081,f906(f906(f905(x102081,x102081),a894),a894)),f906(f906(f905(x102081,x102081),a894),f906(x102081,a894)),x102081),f7(x102081,f906(f905(x102081,x102081),a894),a894)),f317(f317(f8(f906(x102081,f905(x102081,x102081)),f906(x102081,f906(f906(f905(x102081,x102081),a894),a894)),x102081),f317(f8(f905(x102081,x102081),f906(f906(f905(x102081,x102081),a894),a894),x102081),f319(f905(x102081,x102081)))),f242(x102081,x102081)))),x102082)) % 169.26/169.08 [10209]~P11(x102091,f232(f906(x102091,a894)),x102092)+P10(x102091,f317(f317(f7(x102091,f906(f905(x102091,x102091),a894),f906(x102091,a894)),f317(f317(f8(f906(x102091,f906(f906(f905(x102091,x102091),a894),a894)),f906(f906(f905(x102091,x102091),a894),f906(x102091,a894)),x102091),f7(x102091,f906(f905(x102091,x102091),a894),a894)),f317(f317(f8(f906(x102091,f905(x102091,x102091)),f906(x102091,f906(f906(f905(x102091,x102091),a894),a894)),x102091),f317(f8(f905(x102091,x102091),f906(f906(f905(x102091,x102091),a894),a894),x102091),f319(f905(x102091,x102091)))),f242(x102091,x102091)))),x102092)) % 169.26/169.08 [10252]P39(x102521,x102522)+~P62(x102521,f317(f317(f7(x102521,f906(f905(x102521,x102521),a894),f906(x102521,a894)),f317(f317(f8(f906(x102521,f906(f906(f905(x102521,x102521),a894),a894)),f906(f906(f905(x102521,x102521),a894),f906(x102521,a894)),x102521),f7(x102521,f906(f905(x102521,x102521),a894),a894)),f317(f317(f8(f906(x102521,f905(x102521,x102521)),f906(x102521,f906(f906(f905(x102521,x102521),a894),a894)),x102521),f317(f8(f905(x102521,x102521),f906(f906(f905(x102521,x102521),a894),a894),x102521),f319(f905(x102521,x102521)))),f242(x102521,x102521)))),x102522)) % 169.26/169.08 [10253]P11(x102531,f232(f906(x102531,a894)),x102532)+~P10(x102531,f317(f317(f7(x102531,f906(f905(x102531,x102531),a894),f906(x102531,a894)),f317(f317(f8(f906(x102531,f906(f906(f905(x102531,x102531),a894),a894)),f906(f906(f905(x102531,x102531),a894),f906(x102531,a894)),x102531),f7(x102531,f906(f905(x102531,x102531),a894),a894)),f317(f317(f8(f906(x102531,f905(x102531,x102531)),f906(x102531,f906(f906(f905(x102531,x102531),a894),a894)),x102531),f317(f8(f905(x102531,x102531),f906(f906(f905(x102531,x102531),a894),a894),x102531),f319(f905(x102531,x102531)))),f242(x102531,x102531)))),x102532)) % 169.26/169.08 [7386]E(f317(f317(f74(a897),f317(f94(a897),f317(f317(f23(a1),x73861),a87))),x73862),f317(a102,f317(f317(f74(a897),f317(f94(a897),x73861)),x73862)))+P1(f317(a183,f317(f94(a1),x73861))) % 169.26/169.08 [7829]~P95(x78291)+E(f317(f317(f74(x78291),f317(f317(f74(x78291),f72(x78291)),f317(f94(x78291),x78292))),f317(f94(x78291),x78292)),f317(f94(x78291),f317(f317(f23(a1),f317(f317(f74(a1),x78292),x78292)),a87))) % 169.26/169.08 [8473]~P1(f317(f317(f224(a1),x84731),x84732))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x84731),x84731)),f317(f317(f23(a1),f317(f317(f74(a1),x84732),x84732)),a87))) % 169.26/169.08 [8475]~P1(f317(f317(f224(a1),x84751),x84752))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x84751),x84751)),f317(f317(f23(a1),f317(f317(f74(a1),x84752),x84752)),a87))) % 169.26/169.08 [8903]P1(f317(f317(f224(a1),x89031),x89032))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x89031),x89031)),f317(f317(f23(a1),f317(f317(f74(a1),x89032),x89032)),a87))) % 169.26/169.08 [8905]P1(f317(f317(f224(a1),x89051),x89052))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),x89051),x89051)),f317(f317(f23(a1),f317(f317(f74(a1),x89052),x89052)),a87))) % 169.26/169.08 [9194]~P1(f317(f317(f224(a1),x91941),x91942))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x91941),x91941)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x91942),x91942)),a87))) % 169.26/169.08 [9196]~P1(f317(f317(f225(a1),x91961),x91962))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x91961),x91961)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x91962),x91962)),a87))) % 169.26/169.08 [9469]P1(f317(f317(f224(a1),x94691),x94692))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),x94691),x94691)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x94692),x94692)),a87))) % 169.26/169.08 [9471]P1(f317(f317(f225(a1),x94711),x94712))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),x94711),x94711)),a87)),f317(f317(f23(a1),f317(f317(f74(a1),x94712),x94712)),a87))) % 169.26/169.08 [9504]~P1(f317(f28(x95041),x95042))+P1(f317(f28(f906(x95041,a894)),f317(f252(f906(x95041,a894)),f317(f317(f7(f906(x95041,a894),f906(x95041,a894),a894),f224(f906(x95041,a894))),x95042)))) % 169.26/169.08 [9556]~E(f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),x95561),f178(f906(f905(a897,a897),a894)))),f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),x95562),f178(f906(f905(a897,a897),a894)))))+P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),x95561),x95562)),a99)) % 169.26/169.08 [9650]E(f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),x96501),f178(f906(f905(a897,a897),a894)))),f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),x96502),f178(f906(f905(a897,a897),a894)))))+~P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),x96501),x96502)),a99)) % 169.26/169.08 [9687]P1(f317(f317(f224(a1),f2(a1)),f618(x96871,x96872)))+E(f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),f2(a1)))),x96871)),f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),f2(a1)))),x96872))) % 169.26/169.08 [10192]~P8(x101921)+E(f32(x101921,f317(f252(x101921),f317(f317(f8(f906(x101921,a894),a894,x101921),f82(x101921)),f317(f317(f8(f906(x101921,a894),f906(x101921,a894),x101921),f317(f18(x101921,a894,a894),f317(f317(f8(a894,f906(a894,a894),x101921),a320),f317(f317(f7(x101921,f906(x101921,a894),a894),f319(x101921)),x101922)))),f317(f7(x101921,x101921,a894),f224(x101921)))))),f31(x101921,x101922)) % 169.26/169.08 [10214]P1(f317(f317(f319(a897),f2(a897)),x102141))+E(f317(f29(a897),f317(f252(a897),f317(f317(f18(a897,a894,a894),f317(f317(f8(a894,f906(a894,a894),a897),a315),f317(f317(f7(a897,f906(a897,a894),a894),f317(f317(f8(a897,f906(f906(a897,a894),a894),a897),f319(a897)),a102)),x102141))),f317(f317(f7(a897,a897,a894),f225(a897)),x102142)))),f317(f29(a897),f317(f252(a897),f317(f317(f18(a897,a894,a894),f317(f317(f8(a894,f906(a894,a894),a897),a315),f317(f317(f7(a897,f906(a897,a894),a894),f319(a897)),x102141))),f317(f317(f7(a897,a897,a894),f225(a897)),f317(a102,x102142)))))) % 169.26/169.08 [10272]P1(f317(f317(f277(a897),x102721),x102722))+~P1(f317(f317(f319(a897),x102722),f285(a897,f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x102721))) % 169.26/169.08 [10273]P1(f317(f317(f277(a897),x102731),x102732))+~P1(f317(f317(f319(a897),x102731),f288(a897,f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x102732))) % 169.26/169.08 [10274]~P1(f317(f317(f277(a897),x102741),x102742))+~P1(f317(f317(f319(a897),x102742),f288(a897,f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x102741))) % 169.26/169.08 [10275]~P1(f317(f317(f277(a897),x102751),x102752))+~P1(f317(f317(f319(a897),x102751),f285(a897,f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x102752))) % 169.26/169.08 [7696]~P95(x76961)+E(f317(f317(f75(x76961),x76962),f317(f94(x76961),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),x76962) % 169.26/169.08 [7960]~P95(x79601)+E(f317(f317(f74(x79601),f317(f94(x79601),x79602)),f72(x79601)),f317(f94(x79601),f317(f317(f74(a1),x79602),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))) % 169.26/169.08 [8104]P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x81042)))+E(f317(f317(f234(a1),x81041),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x81042),x81042)),a87))),f72(a1)) % 169.26/169.08 [9531]~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x95312)))+E(f317(f317(f234(a1),x95311),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x95312),x95312)),a87))),f317(f317(f80(a1,a1),f317(f317(f234(a1),x95311),f317(f94(a897),x95312))),f317(f317(f18(a1,a1,a1),f317(f317(f8(a1,f906(a1,a1),a1),f75(a1)),f317(f75(a1),x95311))),f5(a1)))) % 169.26/169.08 [9909]~P1(f317(f317(f224(a897),f630(x99092,x99091)),f317(x99091,f630(x99092,x99091))))+P1(f317(f28(a897),f317(f252(a897),f317(f317(f7(a897,a897,a894),f317(f317(f8(a897,f906(a897,a894),a897),f224(a897)),x99091)),x99092)))) % 169.26/169.08 [10044]~P1(f317(f317(f224(a897),f317(f94(a897),x100441)),f317(a102,x100442)))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x100441),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a897,a894),f317(f317(f8(a897,f906(a897,a894),a1),f224(a897)),a95)),x100442)))) % 169.26/169.08 [10045]~P1(f317(f317(f225(a897),f317(f94(a897),x100451)),f317(a102,x100452)))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x100451),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a897,a894),f317(f317(f8(a897,f906(a897,a894),a1),f225(a897)),a95)),x100452)))) % 169.26/169.08 [10104]P1(f317(f317(f224(a897),f317(f94(a897),x101041)),f317(a102,x101042)))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101041),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a897,a894),f317(f317(f8(a897,f906(a897,a894),a1),f224(a897)),a95)),x101042)))) % 169.26/169.08 [10105]P1(f317(f317(f225(a897),f317(f94(a897),x101051)),f317(a102,x101052)))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101051),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a897,a894),f317(f317(f8(a897,f906(a897,a894),a1),f225(a897)),a95)),x101052)))) % 169.26/169.08 [10135]~P1(f317(f317(f224(a897),f317(a102,x101352)),f317(f94(a897),x101351)))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101351),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f8(a897,a894,a1),f317(f224(a897),x101352)),a95))))) % 169.26/169.08 [10136]~P1(f317(f317(f225(a897),f317(a102,x101362)),f317(f94(a897),x101361)))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101361),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f8(a897,a894,a1),f317(f225(a897),x101362)),a95))))) % 169.26/169.08 [10182]P1(f317(f317(f224(a897),f317(a102,x101821)),f317(f94(a897),x101822)))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101822),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f8(a897,a894,a1),f317(f224(a897),x101821)),a95))))) % 169.26/169.08 [10183]P1(f317(f317(f225(a897),f317(a102,x101831)),f317(f94(a897),x101832)))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101832),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f8(a897,a894,a1),f317(f225(a897),x101831)),a95))))) % 169.26/169.08 [10262]~P1(f317(f317(f319(a897),f2(a897)),x102621))+E(f317(a102,f317(f29(a897),f317(f252(a897),f317(f317(f18(a897,a894,a894),f317(f317(f8(a894,f906(a894,a894),a897),a315),f317(f317(f7(a897,f906(a897,a894),a894),f317(f317(f8(a897,f906(f906(a897,a894),a894),a897),f319(a897)),a102)),x102621))),f317(f317(f7(a897,a897,a894),f225(a897)),x102622))))),f317(f29(a897),f317(f252(a897),f317(f317(f18(a897,a894,a894),f317(f317(f8(a894,f906(a894,a894),a897),a315),f317(f317(f7(a897,f906(a897,a894),a894),f319(a897)),x102621))),f317(f317(f7(a897,a897,a894),f225(a897)),f317(a102,x102622)))))) % 169.26/169.08 [8645]~P95(x86451)+E(f317(f317(f75(x86451),f317(f94(x86451),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),x86452),x86452) % 169.26/169.08 [8706]~P95(x87061)+E(f317(f317(f74(x87061),f72(x87061)),f317(f94(x87061),x87062)),f317(f94(x87061),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x87062))) % 169.26/169.08 [8768]~P95(x87681)+E(f317(f317(f23(x87681),f317(f94(x87681),x87682)),f72(x87681)),f317(f94(x87681),f317(f317(f74(a1),x87682),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 169.26/169.08 [8922]~P1(f317(f317(f225(a897),f317(f94(a897),a77)),x89222))+E(f317(f317(f23(a897),x89221),f317(f317(f23(a897),x89222),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)))),f317(f317(f23(a897),f317(a102,x89221)),x89222)) % 169.26/169.08 [9574]~P112(x95741)+E(f317(f317(f75(x95741),x95742),x95742),f317(f317(f234(x95741),x95742),f317(f94(a897),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))))) % 169.26/169.08 [9575]~P84(x95751)+E(f317(f317(f234(x95751),x95752),f317(f94(a897),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(x95751),x95752),x95752)) % 169.26/169.08 [9577]~P95(x95771)+E(f317(f317(f75(x95771),x95772),f317(f94(x95771),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(x95771),x95772),x95772)) % 169.26/169.08 [9826]~P128(x98261)+E(f317(f317(f234(x98261),f317(f73(x98261),x98262)),f317(f94(a897),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(x98261),x98262),f317(f94(a897),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))))) % 169.26/169.08 [9827]~P111(x98271)+E(f317(f317(f234(x98271),f317(f70(x98271),x98272)),f317(f94(a897),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(x98271),x98272),f317(f94(a897),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))))) % 169.26/169.08 [9823]~P95(x98231)+E(f317(f317(f75(x98231),f317(f94(x98231),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)))),x98232),f317(f317(f74(x98231),x98232),x98232)) % 169.26/169.08 [9942]~P111(x99421)+E(f317(f70(x99421),f317(f317(f234(x99421),x99422),f317(f94(a897),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(x99421),x99422),f317(f94(a897),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))))) % 169.26/169.08 [10006]~P111(x100061)+P1(f317(f317(f224(x100061),f2(x100061)),f317(f317(f234(x100061),x100062),f317(f94(a897),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)))))) % 169.26/169.08 [10173]~E(f317(a102,x101732),f317(f94(a897),x101731))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101731),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a897,a894),f317(f317(f8(a897,f906(a897,a894),a1),a314),a95)),x101732))))) % 169.26/169.08 [10174]~E(f317(f94(a897),x101741),f317(a102,x101742))+P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x101741),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a897,a894),f317(f317(f8(a897,f906(a897,a894),a1),a314),a95)),x101742))))) % 169.26/169.08 [10217]E(f317(a102,x102171),f317(f94(a897),x102172))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x102172),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a897,a894),f317(f317(f8(a897,f906(a897,a894),a1),a314),a95)),x102171))))) % 169.26/169.08 [10218]E(f317(f94(a897),x102181),f317(a102,x102182))+~P1(f317(f317(f80(a1,a894),f317(f94(a1),f317(f317(f74(a1),x102181),a87))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a320),f317(f317(f8(a894,a894,a1),a312),a183))),f317(f317(f7(a1,a897,a894),f317(f317(f8(a897,f906(a897,a894),a1),a314),a95)),x102182))))) % 169.26/169.08 [10263]~P18(x102631,x102632)+P1(f317(f317(f319(f906(x102631,a894)),f791(x102632,x102631)),f317(f317(f8(f906(x102631,a894),a894,f906(x102631,a894)),f81(x102631)),f317(f317(f8(f906(x102631,a894),f906(x102631,a894),f906(x102631,a894)),f317(f18(x102631,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102631),a315),f317(f317(f18(x102631,x102631,a894),x102632),f5(x102631))))),f317(f317(f7(f906(x102631,a894),f906(x102631,f906(x102631,a894)),f906(x102631,a894)),f317(f317(f8(f906(f906(x102631,a894),a894),f906(f906(x102631,f906(x102631,a894)),f906(x102631,a894)),f906(x102631,a894)),f8(f906(x102631,a894),a894,x102631)),a314)),x102632))))) % 169.26/169.08 [10004]~P95(x100041)+E(f317(f317(f234(x100041),f317(f94(x100041),a87)),f317(f317(f75(a897),f317(f94(a897),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)))),x100042)),f72(x100041)) % 169.26/169.08 [10005]~P128(x100051)+E(f317(f317(f234(x100051),f317(f73(x100051),f72(x100051))),f317(f317(f75(a897),f317(f94(a897),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)))),x100052)),f72(x100051)) % 169.26/169.08 [10008]~P84(x100081)+E(f317(f317(f234(x100081),x100082),f317(f94(a897),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(x100081),f317(f317(f75(x100081),x100082),x100082)),x100082)) % 169.26/169.08 [10197]~P1(f317(f317(f224(a1),f2(a1)),x101972))+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)))),x101971)),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)))),x101972)),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,x101971,x101972)))) % 169.26/169.08 [10220]~P1(f317(f317(f224(a1),f2(a1)),x102202))+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)))),x102201))),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)))),x102202)),f317(f317(f30(a1),x102201),x102202)) % 169.26/169.08 [10222]~P1(f317(f317(f224(a1),x102222),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)))),x102221))),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)))),x102222)),f317(f317(f30(a1),f317(f317(f74(a1),x102221),f72(a1))),x102222)) % 169.26/169.08 [10223]~P1(f317(f317(f224(a1),x102232),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)))),x102231)),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)))),x102232)),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),x102231),f72(a1)),x102232))),f72(a1))) % 169.26/169.08 [10095]~P95(x100951)+E(f317(f317(f234(x100951),f317(f94(x100951),a87)),f317(a102,f317(f317(f75(a897),f317(f94(a897),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)))),x100952))),f317(f94(x100951),a87)) % 169.26/169.08 [10097]~P128(x100971)+E(f317(f317(f234(x100971),f317(f73(x100971),f72(x100971))),f317(a102,f317(f317(f75(a897),f317(f94(a897),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(f73(x100971),f72(x100971))) % 169.26/169.08 [5012]P40(x50121,x50122)+~P11(x50121,x50123,x50122) % 169.26/169.08 [5014]P54(x50141,x50142)+~P11(x50141,x50143,x50142) % 169.26/169.08 [5187]~P11(x51871,x51872,x51873)+P55(x51871,x51872,x51873) % 169.26/169.08 [8170]~E(x81702,x81703)+P36(x81701,x81701,a314,x81702,x81703) % 169.26/169.08 [8719]E(x87191,x87192)+~P36(x87193,x87193,a314,x87191,x87192) % 169.26/169.08 [4816]E(f159(x48161,x48162,x48163),f103(x48161))+~E(x48162,f2(a897)) % 169.26/169.08 [4984]~E(f159(x49842,x49841,x49843),f103(x49842))+E(x49841,f2(a897)) % 169.26/169.08 [5192]~P39(x51921,x51923)+P39(x51921,f311(x51921,x51922,x51923)) % 169.26/169.08 [5301]~P31(x53011,x53012,x53013)+P33(a1,x53011,f168(x53012,x53013)) % 169.26/169.08 [5369]P31(x53691,x53692,x53693)+~P33(a1,x53691,f168(x53692,x53693)) % 169.26/169.08 [5441]~P11(x54411,x54412,x54413)+P11(f898(x54411),f151(x54411,x54412),f148(x54411,x54413)) % 169.26/169.08 [5442]~P55(x54421,x54422,x54423)+P55(f898(x54421),f151(x54421,x54422),f148(x54421,x54423)) % 169.26/169.08 [5555]P58(x55551,x55552,x55553)+~E(f537(x55553,x55552,x55551),f538(x55553,x55552,x55551)) % 169.26/169.08 [5556]P57(x55561,x55562,x55563)+~E(f557(x55563,x55562,x55561),f558(x55563,x55562,x55561)) % 169.26/169.08 [8176]~E(x81762,x81763)+P28(x81761,x81761,f25(x81761),x81762,x81763) % 169.26/169.08 [8727]E(x87271,x87272)+~P28(x87273,x87273,f25(x87273),x87271,x87272) % 169.26/169.08 [4771]~E(f317(f158(x47712),x47711),x47713)+E(x47711,f317(f158(x47712),x47713)) % 169.26/169.08 [4772]~E(x47722,f317(f158(x47721),x47723))+E(f317(f158(x47721),x47722),x47723) % 169.26/169.08 [4822]E(x48221,x48222)+~E(f317(f158(x48223),x48221),f317(f158(x48223),x48222)) % 169.26/169.08 [5038]~P10(x50383,x50381)+P1(f317(f317(x50381,x50382),x50382)) % 169.26/169.08 [5039]~P45(x50393,x50391)+P1(f317(f317(x50391,x50392),x50392)) % 169.26/169.08 [5041]~P62(x50411,x50412)+P1(f317(f305(x50411,x50412),x50413)) % 169.26/169.08 [5107]~P39(x51071,x51072)+P39(f898(x51071),f317(f133(x51071,x51072),x51073)) % 169.26/169.08 [5112]~P1(f317(x51122,x51123))+~E(f317(f252(x51121),x51122),f178(f906(x51121,a894))) % 169.26/169.08 [5113]~P1(f317(x51132,x51133))+~E(f178(f906(x51131,a894)),f317(f252(x51131),x51132)) % 169.26/169.08 [5125]E(x51251,f2(a897))+E(f134(x51252,f159(x51252,x51251,x51253)),x51253) % 169.26/169.08 [5144]~P1(f317(x51441,x51443))+P1(f317(x51441,f84(x51442,x51441))) % 169.26/169.08 [5145]~P1(f317(x51451,x51453))+P1(f317(x51451,f716(x51451,x51452))) % 169.26/169.08 [5157]E(x51571,f2(a897))+E(f317(f131(x51572),f159(x51572,x51571,x51573)),x51573) % 169.26/169.08 [5263]~E(x52632,x52633)+P1(f317(f317(f319(x52631),x52632),f317(a314,x52633))) % 169.26/169.08 [5278]~E(x52782,f2(a897))+E(f317(f162(x52781),f159(x52781,x52782,x52783)),f178(f906(x52781,a894))) % 169.26/169.08 [5323]E(f317(f158(x53231),x53232),f317(f317(f141(x53231),x53233),f103(x53231)))+~E(x53232,f317(f317(f141(x53231),x53233),f103(x53231))) % 169.26/169.08 [5324]~E(x53243,f317(f317(f141(x53241),x53242),f103(x53241)))+E(f317(f317(f141(x53241),x53242),f103(x53241)),f317(f158(x53241),x53243)) % 169.26/169.08 [5365]~P35(x53651,x53652,x53653)+P35(x53651,x53652,f317(f158(x53651),x53653)) % 169.26/169.08 [5366]~P33(x53661,x53662,x53663)+P33(x53661,x53662,f317(f158(x53661),x53663)) % 169.26/169.08 [5370]E(f317(f29(x53701),f534(x53702,x53703,x53701)),x53702)+~E(f317(f29(x53701),x53703),f317(a102,x53702)) % 169.26/169.08 [5377]~P39(x53771,x53773)+P1(f317(f317(f319(x53771),x53772),f306(x53771,x53773))) % 169.26/169.08 [5381]~E(f317(f158(x53812),x53811),f317(f317(f141(x53812),x53813),f103(x53812)))+E(x53811,f317(f317(f141(x53812),x53813),f103(x53812))) % 169.26/169.08 [5382]~E(f317(f317(f141(x53822),x53823),f103(x53822)),f317(f158(x53822),x53821))+E(x53821,f317(f317(f141(x53822),x53823),f103(x53822))) % 169.26/169.08 [5406]E(f79(f905(a897,a897),f43(x54061,x54062)),x54063)+~P1(f317(f43(x54061,x54062),x54063)) % 169.26/169.08 [5445]P35(x54451,x54452,x54453)+~P35(x54451,x54452,f317(f158(x54451),x54453)) % 169.26/169.08 [5446]P33(x54461,x54462,x54463)+~P33(x54461,x54462,f317(f158(x54461),x54463)) % 169.26/169.08 [5485]P1(f317(f317(x54851,x54852),x54852))+~P1(f317(f260(x54853,x54851),x54852)) % 169.26/169.08 [5486]~P1(f317(f317(x54862,x54863),x54863))+P1(f317(f260(x54861,x54862),x54863)) % 169.26/169.08 [5508]~E(x55082,f103(x55081))+P1(f317(f317(f319(f898(x55081)),x55082),f151(x55081,x55083))) % 169.26/169.08 [5518]~P55(x55181,x55182,x55183)+P55(x55181,x55182,f317(f276(x55181,x55181),x55183)) % 169.26/169.08 [5519]~P58(x55191,x55192,x55193)+P58(x55191,x55192,f317(f276(x55191,x55191),x55193)) % 169.26/169.08 [5536]~P6(x55361)+E(f40(x55361,f40(x55361,x55362,x55363),x55363),f40(x55361,x55362,x55363)) % 169.26/169.08 [5638]E(x56381,x56382)+~P1(f317(f317(f319(x56383),x56381),f317(a314,x56382))) % 169.26/169.08 [5685]~P144(x56851)+E(f180(x56851,x56852,f2(a897),x56853),x56853) % 169.26/169.08 [5707]P55(x57071,x57072,x57073)+~P55(x57071,x57072,f317(f276(x57071,x57071),x57073)) % 169.26/169.08 [5708]P58(x57081,x57082,x57083)+~P58(x57081,x57082,f317(f276(x57081,x57081),x57083)) % 169.26/169.08 [5712]~P4(x57122)+E(f140(x57121,x57122,x57123,f103(x57121)),f103(x57121)) % 169.26/169.08 [5724]E(f160(x57241,x57242,f142(x57241,x57243)),f142(x57241,f160(x57241,x57242,x57243)))+~P1(f317(f127(x57241),x57243)) % 169.26/169.08 [5823]~P1(f317(f317(x58233,x58232),x58232))+P1(f317(f317(f319(x58231),x58232),f260(x58231,x58233))) % 169.26/169.08 [5825]E(f317(f126(x58251,x58252),x58253),f103(x58251))+P1(f317(x58252,f650(x58253,x58252,x58251))) % 169.26/169.08 [5893]E(f62(x58931,x58932,x58933),x58932)+P1(f317(x58933,f717(x58932,x58931,x58933))) % 169.26/169.08 [5989]~P1(f317(f127(x59891),x59892))+P1(f317(f127(x59891),f166(x59891,x59892,x59893))) % 169.26/169.08 [5990]~P1(f317(f127(x59901),x59903))+P1(f317(f127(x59901),f160(x59901,x59902,x59903))) % 169.26/169.08 [5991]~P1(f317(f127(x59911),x59913))+P1(f317(f127(x59911),f167(x59911,x59912,x59913))) % 169.26/169.08 [5992]~P1(f317(f127(x59921),x59923))+P1(f317(f127(x59921),f130(x59921,x59922,x59923))) % 169.26/169.08 [5993]~P147(x59931,x59933,x59932)+P1(f317(x59931,f40(a1,x59932,x59933))) % 169.26/169.08 [6010]~P35(x60103,x60101,x60102)+P1(f317(x60101,f730(x60102,x60101,x60103))) % 169.26/169.08 [6011]~P37(x60113,x60111,x60112)+P1(f317(x60111,f737(x60112,x60111,x60113))) % 169.26/169.08 [6012]~P37(x60123,x60121,x60122)+P1(f317(x60121,f746(x60122,x60121,x60123))) % 169.26/169.08 [6013]~P35(x60133,x60131,x60132)+P1(f317(x60131,f773(x60132,x60131,x60133))) % 169.26/169.08 [6014]~P35(x60143,x60141,x60142)+P1(f317(x60141,f775(x60141,x60142,x60143))) % 169.26/169.08 [6019]P1(f317(f317(x60191,x60192),x60192))+~P1(f317(f317(f319(x60193),x60192),f260(x60193,x60191))) % 169.26/169.08 [6034]E(f317(f126(x60341,x60342),x60343),f167(x60341,x60342,x60343))+P1(f317(x60342,f700(x60343,x60342,x60341))) % 169.26/169.08 [6074]~P1(f317(f127(x60741),x60743))+P1(f317(f127(f898(x60741)),f50(x60741,x60742,x60743))) % 169.26/169.08 [6110]~P109(x61101)+E(f317(f317(f92(f906(x61101,a894)),f317(f291(x61101),x61102)),f296(x61101,x61102,x61103)),f178(f906(x61101,a894))) % 169.26/169.08 [6111]~P109(x61111)+E(f317(f317(f92(f906(x61111,a894)),f317(f291(x61111),x61112)),f295(x61111,x61112,x61113)),f178(f906(x61111,a894))) % 169.26/169.08 [6112]~P109(x61121)+E(f317(f317(f92(f906(x61121,a894)),f317(f272(x61121),x61122)),f293(x61121,x61122,x61123)),f178(f906(x61121,a894))) % 169.26/169.08 [6348]E(f317(f126(x63481,x63482),x63483),x63483)+~P1(f317(x63482,f651(x63483,x63482,x63481))) % 169.26/169.08 [6350]E(f317(f317(f299(x63501),f589(x63502,x63503,x63501)),f534(x63502,x63503,x63501)),x63503)+~E(f317(f29(x63501),x63503),f317(a102,x63502)) % 169.26/169.08 [6366]P147(x63661,x63662,x63663)+~P1(f317(x63661,f40(a1,x63663,x63662))) % 169.26/169.08 [6419]P33(x64191,x64192,x64193)+~P1(f317(x64192,f738(x64193,x64192,x64191))) % 169.26/169.08 [6420]P33(x64201,x64202,x64203)+~P1(f317(x64202,f744(x64202,x64203,x64201))) % 169.26/169.08 [6421]P33(x64211,x64212,x64213)+~P1(f317(x64212,f745(x64213,x64212,x64211))) % 169.26/169.08 [6422]P31(x64221,x64222,x64223)+~P1(f317(x64221,f762(x64223,x64222,x64221))) % 169.26/169.08 [6423]P32(x64231,x64232,x64233)+~P1(f317(x64231,f808(x64233,x64232,x64231))) % 169.26/169.08 [6425]E(f167(x64251,x64252,x64253),x64253)+~P1(f317(x64252,f696(x64253,x64252,x64251))) % 169.26/169.08 [6506]~P1(f317(x65062,f513(x65063,x65062,x65061)))+P1(f317(f238(x65061,x65062),x65063)) % 169.26/169.08 [6507]~P1(f317(x65072,f652(x65073,x65072,x65071)))+P1(f317(f150(x65071,x65072),x65073)) % 169.26/169.08 [6763]~P1(f317(f305(x67631,x67632),f873(x67633,x67632,x67631)))+P1(f317(f305(x67631,x67632),x67633)) % 169.26/169.08 [6764]~P1(f317(f305(x67641,x67642),f885(x67643,x67642,x67641)))+P1(f317(f305(x67641,x67642),x67643)) % 169.26/169.08 [7387]~P6(x73871)+E(f317(f317(f74(x73871),f317(f317(f75(x73871),x73872),f317(f317(f30(x73871),x73873),x73872))),f40(x73871,x73873,x73872)),x73873) % 169.26/169.08 [7417]P31(x74171,x74172,x74173)+P1(f317(f317(f319(a1),f762(x74173,x74172,x74171)),f293(a1,x74172,x74173))) % 169.26/169.08 [7850]E(f317(f317(f242(x78501,x78501),f434(x78502,x78503,x78501)),f434(x78502,x78503,x78501)),x78503)+~P1(f317(f317(f319(f905(x78501,x78501)),x78503),f253(x78501,x78502))) % 169.26/169.08 [7968]~P1(f317(f317(f319(x79681),f462(x79683,x79682,x79681)),f306(x79681,x79683)))+P1(f317(f317(f319(x79681),x79682),f306(x79681,x79683))) % 169.26/169.08 [7969]~P1(f317(f317(f319(x79691),f541(x79693,x79692,x79691)),f306(x79691,x79693)))+P1(f317(f317(f319(x79691),x79692),f306(x79691,x79693))) % 169.26/169.08 [7970]~P1(f317(f317(f319(x79701),f543(x79703,x79702,x79701)),f306(x79701,x79703)))+P1(f317(f317(f319(x79701),x79702),f306(x79701,x79703))) % 169.26/169.08 [8063]P35(a1,x80631,f168(x80632,x80633))+P31(f317(f67(a894,a894,a1,a312),x80631),x80632,x80633) % 169.26/169.08 [8151]~P6(x81511)+E(f317(f317(f74(x81511),f317(f317(f75(x81511),f317(f317(f30(x81511),x81512),x81513)),x81513)),f40(x81511,x81512,x81513)),x81512) % 169.26/169.08 [8197]~E(f317(f29(x81971),x81972),f317(a102,x81973))+~P1(f317(f317(f319(x81971),f589(x81973,x81972,x81971)),f534(x81973,x81972,x81971))) % 169.26/169.08 [8637]~P35(a1,x86371,f168(x86372,x86373))+~P31(f317(f67(a894,a894,a1,a312),x86371),x86372,x86373) % 169.26/169.08 [8824]P1(f317(f317(f224(f906(f905(x88241,x88241),a894)),f297(x88241,x88242)),f297(x88241,x88243)))+~P1(f317(f317(f224(f906(f905(x88241,x88241),a894)),x88242),f297(x88241,x88243))) % 169.26/169.08 [9104]E(x91041,f103(x91042))+~P1(f317(f317(f319(f905(f898(x91042),f898(x91042))),f317(f317(f242(f898(x91042),f898(x91042)),x91041),f103(x91042))),f148(x91042,x91043))) % 169.26/169.08 [9129]E(x91291,f103(x91292))+~P1(f317(f317(f319(f905(f898(x91292),f898(x91292))),f317(f317(f242(f898(x91292),f898(x91292)),f103(x91292)),x91291)),f148(x91292,x91293))) % 169.26/169.08 [9254]E(f317(f317(f141(x92541),f669(x92542,x92543,x92541)),f671(x92542,x92543,x92541)),x92543)+~P1(f317(f317(f319(f905(f898(x92541),f898(x92541))),f317(f317(f242(f898(x92541),f898(x92541)),f103(x92541)),x92543)),f137(x92541,x92542))) % 169.26/169.08 [9497]~P126(x94971)+~P1(f317(f317(f225(x94971),f317(f317(f74(x94971),f317(f317(f75(x94971),x94972),x94972)),f317(f317(f75(x94971),x94973),x94973))),f2(x94971))) % 169.26/169.08 [9548]P1(f317(f28(x95481),x95482))+~P1(f317(f317(f319(f905(f906(x95481,a894),f906(x95481,a894))),f317(f317(f242(f906(x95481,a894),f906(x95481,a894)),x95483),x95482)),f304(x95481))) % 169.26/169.08 [9852]~P49(x98521,x98522,x98523)+P1(f317(f317(f224(a1),f317(f317(f67(f905(a1,a1),a1,x98521,f241(a1,a1)),f202(x98521)),f220(x98521,x98522,f217(x98521,x98523)))),f2(a1))) % 169.26/169.08 [9853]~P50(x98531,x98532,x98533)+P1(f317(f317(f225(a1),f317(f317(f67(f905(a1,a1),a1,x98531,f241(a1,a1)),f202(x98531)),f220(x98531,x98532,f217(x98531,x98533)))),f2(a1))) % 169.26/169.08 [9972]P50(x99721,x99722,x99723)+~P1(f317(f317(f225(a1),f317(f317(f67(f905(a1,a1),a1,x99721,f241(a1,a1)),f202(x99721)),f220(x99721,x99722,f217(x99721,x99723)))),f2(a1))) % 169.26/169.08 [9973]P49(x99731,x99732,x99733)+~P1(f317(f317(f224(a1),f317(f317(f67(f905(a1,a1),a1,x99731,f241(a1,a1)),f202(x99731)),f220(x99731,x99732,f217(x99731,x99733)))),f2(a1))) % 169.26/169.08 [10325]~P111(x103251)+~P1(f317(f317(f225(x103251),f317(f317(f74(x103251),f317(f317(f234(x103251),x103252),f317(f94(a897),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(x103251),x103253),f317(f94(a897),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(x103251))) % 169.26/169.08 [4801]~E(x48013,f103(x48011))+E(f317(f317(f124(x48011),x48012),x48013),x48012) % 169.26/169.08 [4802]~E(x48022,f103(x48021))+E(f317(f317(f124(x48021),x48022),x48023),x48023) % 169.26/169.08 [4808]~E(x48082,f2(a897))+E(f317(f317(f165(x48081),x48082),x48083),f103(x48081)) % 169.26/169.08 [4817]~E(x48173,f103(x48171))+E(f317(f317(f165(x48171),x48172),x48173),f103(x48171)) % 169.26/169.08 [4856]~E(x48561,x48563)+E(x48561,f317(f317(f124(x48562),f103(x48562)),x48563)) % 169.26/169.08 [4947]~P68(x49472)+E(f317(f178(f906(x49471,x49472)),x49473),f178(x49472)) % 169.26/169.08 [4948]~P116(x49482)+E(f317(f232(f906(x49481,x49482)),x49483),f232(x49482)) % 169.26/169.08 [4966]E(x49661,f103(x49662))+~E(f317(f317(f124(x49662),x49663),x49661),x49663) % 169.26/169.08 [4967]E(x49671,f103(x49672))+~E(f317(f317(f124(x49672),x49671),x49673),x49673) % 169.26/169.08 [4975]E(x49751,f103(x49752))+~E(f317(f317(f124(x49752),x49753),x49751),f103(x49752)) % 169.26/169.08 [4976]E(x49761,f103(x49762))+~E(f317(f317(f124(x49762),x49761),x49763),f103(x49762)) % 169.26/169.08 [5005]~E(x50052,f2(a897))+E(f317(f317(f75(a897),x50051),x50052),f317(f317(f75(a897),x50053),x50052)) % 169.26/169.08 [5007]~E(x50071,f2(a897))+E(f317(f317(f75(a897),x50071),x50072),f317(f317(f75(a897),x50071),x50073)) % 169.26/169.08 [5065]~P112(x50651)+E(f317(f317(f74(x50651),x50652),x50653),f317(f317(f74(x50651),x50653),x50652)) % 169.26/169.08 [5066]~P112(x50661)+E(f317(f317(f75(x50661),x50662),x50663),f317(f317(f75(x50661),x50663),x50662)) % 169.26/169.08 [5068]~P4(x50681)+E(f317(f317(f228(x50681),x50682),x50683),f317(f317(f228(x50681),x50683),x50682)) % 169.26/169.08 [5070]~P4(x50701)+E(f317(f317(f223(x50701),x50702),x50703),f317(f317(f223(x50701),x50703),x50702)) % 169.26/169.08 [5072]~P100(x50721)+E(f317(f317(f91(x50721),x50722),x50723),f317(f317(f91(x50721),x50723),x50722)) % 169.26/169.08 [5073]~P101(x50731)+E(f317(f317(f91(x50731),x50732),x50733),f317(f317(f91(x50731),x50733),x50732)) % 169.26/169.08 [5074]~P101(x50741)+E(f317(f317(f92(x50741),x50742),x50743),f317(f317(f92(x50741),x50743),x50742)) % 169.26/169.08 [5076]~P106(x50761)+E(f317(f317(f92(x50761),x50762),x50763),f317(f317(f92(x50761),x50763),x50762)) % 169.26/169.08 [5139]E(f40(a897,x51391,x51392),f2(a897))+~E(x51391,f317(f317(f75(a897),x51392),x51393)) % 169.26/169.08 [5140]E(f40(a1,x51401,x51402),f2(a1))+~E(x51401,f317(f317(f75(a1),x51402),x51403)) % 169.26/169.08 [5204]E(x52041,x52042)+~E(f317(f317(f74(a897),x52043),x52041),f317(f317(f74(a897),x52043),x52042)) % 169.26/169.08 [5205]E(x52051,x52052)+~E(f317(f317(f74(a897),x52051),x52053),f317(f317(f74(a897),x52052),x52053)) % 169.26/169.08 [5215]~P70(x52151)+E(f317(f317(f74(x52151),x52152),f317(f73(x52151),x52153)),f317(f317(f23(x52151),x52152),x52153)) % 169.26/169.08 [5216]~P78(x52161)+E(f317(f317(f74(x52161),x52162),f317(f73(x52161),x52163)),f317(f317(f23(x52161),x52162),x52163)) % 169.26/169.08 [5217]~P114(x52171)+E(f317(f317(f74(x52171),x52172),f317(f73(x52171),x52173)),f317(f317(f23(x52171),x52172),x52173)) % 169.26/169.08 [5218]~P98(x52181)+E(f317(f317(f92(x52181),x52182),f317(f73(x52181),x52183)),f317(f317(f23(x52181),x52182),x52183)) % 169.26/169.08 [5219]~P78(x52191)+E(f317(f317(f23(x52191),x52192),f317(f73(x52191),x52193)),f317(f317(f74(x52191),x52192),x52193)) % 169.26/169.08 [5257]~P1(f317(x52573,x52572))+P1(f317(f317(f319(x52571),x52572),x52573)) % 169.26/169.08 [5259]~P79(x52592)+E(f317(f317(f9(x52591,x52592),x52593),f178(f906(x52591,a894))),f72(x52592)) % 169.26/169.08 [5261]~P76(x52612)+E(f317(f317(f6(x52611,x52612),x52613),f178(f906(x52611,a894))),f2(x52612)) % 169.26/169.08 [5313]~E(x53132,f317(f317(f74(a897),x53131),x53133))+P1(f317(f317(f224(a897),x53131),x53132)) % 169.26/169.08 [5316]~E(x53162,f178(f906(x53161,a894)))+E(f317(f317(f55(x53161),x53162),x53163),f178(f906(f906(x53161,a894),a894))) % 169.26/169.08 [5317]~E(x53172,f178(f906(x53171,a894)))+E(f178(f906(f906(x53171,a894),a894)),f317(f317(f55(x53171),x53172),x53173)) % 169.26/169.08 [5386]~E(f317(f274(x53862,x53863),x53861),f178(f906(x53863,a894)))+E(x53861,f178(f906(f905(x53862,x53863),a894))) % 169.26/169.08 [5387]~E(f317(f254(x53872,x53873),x53871),f178(f906(x53872,a894)))+E(x53871,f178(f906(f905(x53872,x53873),a894))) % 169.26/169.08 [5419]E(f317(f274(x54191,x54192),x54193),f178(f906(x54192,a894)))+~E(x54193,f178(f906(f905(x54191,x54192),a894))) % 169.26/169.08 [5420]E(f317(f254(x54201,x54202),x54203),f178(f906(x54201,a894)))+~E(x54203,f178(f906(f905(x54201,x54202),a894))) % 169.26/169.08 [5423]E(f264(x54231,x54232,x54233),f317(f317(f23(a89),x54232),x54233))+P1(f317(f317(f225(a89),x54232),x54233)) % 169.26/169.08 [5439]P1(f317(x54391,x54392))+~P1(f317(f317(f319(x54393),x54392),x54391)) % 169.26/169.08 [5478]E(x54781,x54782)+~E(f317(f73(f906(x54783,a894)),x54781),f317(f73(f906(x54783,a894)),x54782)) % 169.26/169.08 [5489]~E(x54891,f178(f906(x54892,a894)))+~P1(f317(f317(f319(x54892),x54893),x54891)) % 169.26/169.08 [5520]~E(x55202,f317(f317(f74(a1),x55201),f317(f90(a1),x55203)))+P1(f317(f317(f224(a1),x55201),x55202)) % 169.26/169.08 [5534]E(f317(f317(f299(x55341),x55342),x55343),x55343)+~P1(f317(f317(f319(x55341),x55342),x55343)) % 169.26/169.08 [5545]E(x55451,f178(f906(x55452,a894)))+~E(f317(f317(f55(x55452),x55451),x55453),f178(f906(f906(x55452,a894),a894))) % 169.26/169.08 [5546]E(x55461,f178(f906(x55462,a894)))+~E(f178(f906(f906(x55462,a894),a894)),f317(f317(f55(x55462),x55461),x55463)) % 169.26/169.08 [5552]~P132(x55521)+E(f317(f317(f75(x55521),f317(f73(x55521),x55522)),f317(f73(x55521),x55523)),f317(f317(f75(x55521),x55522),x55523)) % 169.26/169.08 [5554]~P64(x55541)+E(f317(f317(f281(x55541),f317(f73(x55541),x55542)),f317(f73(x55541),x55543)),f317(f317(f281(x55541),x55542),x55543)) % 169.26/169.08 [5585]~P1(f317(x55853,x55852))+P1(f317(f317(f319(x55851),x55852),f317(f252(x55851),x55853))) % 169.26/169.08 [5612]E(x56121,f2(a897))+E(f317(f162(x56122),f159(x56122,x56121,x56123)),f317(f317(f299(x56122),x56123),f178(f906(x56122,a894)))) % 169.26/169.08 [5631]E(f160(x56311,x56312,x56313),x56313)+P1(f317(f317(f319(x56311),x56312),f317(f162(x56311),x56313))) % 169.26/169.08 [5716]~P1(f317(f127(x57161),x57163))+P1(f317(f127(x57161),f317(f126(x57161,x57162),x57163))) % 169.26/169.08 [5759]~P6(x57591)+E(f317(f317(f30(x57591),f40(x57591,x57592,x57593)),x57593),f2(x57591)) % 169.26/169.08 [5778]E(f166(x57781,f317(f317(f141(x57781),x57782),f103(x57781)),x57783),f103(x57781))+P1(f317(f317(f319(a897),f2(a897)),x57783)) % 169.26/169.08 [5784]E(x57841,f2(a897))+E(f317(f161(x57842),f159(x57842,x57841,x57843)),f159(x57842,f317(f317(f23(a897),x57841),f72(a897)),x57843)) % 169.26/169.08 [5835]E(f317(f317(f141(x58351),x58352),x58353),f130(x58351,x58352,x58353))+P1(f317(f317(f319(x58351),x58352),f317(f162(x58351),x58353))) % 169.26/169.08 [5844]E(x58441,x58442)+~E(f317(f317(f75(a897),f317(a102,x58443)),x58441),f317(f317(f75(a897),f317(a102,x58443)),x58442)) % 169.26/169.08 [5845]~E(x58452,f317(f317(f74(a1),x58451),f317(f90(a1),f317(a102,x58453))))+P1(f317(f317(f225(a1),x58451),x58452)) % 169.26/169.08 [5915]~P32(x59151,x59152,x59153)+P33(a897,x59151,f129(a897,f317(f292(a897,x59152),x59153))) % 169.26/169.08 [5968]~E(x59683,f103(x59681))+E(f317(f317(f317(f173(f898(x59681),f898(x59681)),x59682),f157(x59681)),x59683),f103(x59681)) % 169.26/169.08 [5972]P1(f317(x59721,x59722))+~P1(f317(f317(f319(x59723),x59722),f317(f252(x59723),x59721))) % 169.26/169.08 [6005]E(x60051,x60052)+~E(f317(f317(f299(x60053),x60051),f178(f906(x60053,a894))),f317(f317(f299(x60053),x60052),f178(f906(x60053,a894)))) % 169.26/169.08 [6021]~P109(x60211)+E(f317(f317(f92(f906(x60211,a894)),f317(f272(x60211),x60212)),f317(f292(x60211,x60212),x60213)),f178(f906(x60211,a894))) % 169.26/169.08 [6060]E(f130(x60601,x60602,x60603),x60603)+~P1(f317(f317(f319(x60601),x60602),f317(f162(x60601),x60603))) % 169.26/169.08 [6082]~P81(x60821)+E(f317(f300(x60821,x60821,f73(x60821)),f317(f292(x60821,x60822),x60823)),f295(x60821,f317(f73(x60821),x60823),f317(f73(x60821),x60822))) % 169.26/169.08 [6093]E(f317(f179(f898(x60931)),f160(x60931,x60932,x60933)),f317(f179(f898(x60931)),x60933))+P1(f317(f317(f319(x60931),x60932),f317(f162(x60931),x60933))) % 169.26/169.08 [6148]~P109(x61481)+E(f317(f317(f92(f906(x61481,a894)),f317(f292(x61481,x61482),x61483)),f317(f273(x61481),x61483)),f178(f906(x61481,a894))) % 169.26/169.08 [6168]~P81(x61681)+E(f317(f300(x61681,x61681,f73(x61681)),f296(x61681,x61682,x61683)),f296(x61681,f317(f73(x61681),x61683),f317(f73(x61681),x61682))) % 169.26/169.08 [6169]~P81(x61691)+E(f317(f300(x61691,x61691,f73(x61691)),f293(x61691,x61692,x61693)),f293(x61691,f317(f73(x61691),x61693),f317(f73(x61691),x61692))) % 169.26/169.08 [6235]E(f166(x62351,f317(f317(f141(x62351),x62352),f103(x62351)),x62353),f317(f317(f141(x62351),x62352),f103(x62351)))+~P1(f317(f317(f319(a897),f2(a897)),x62353)) % 169.26/169.08 [6240]P32(x62401,x62402,x62403)+~P33(a897,x62401,f129(a897,f317(f292(a897,x62402),x62403))) % 169.26/169.08 [6243]~P81(x62431)+E(f317(f300(x62431,x62431,f73(x62431)),f295(x62431,x62432,x62433)),f317(f292(x62431,f317(f73(x62431),x62433)),f317(f73(x62431),x62432))) % 169.26/169.08 [6265]~P7(x62651)+E(f40(x62651,f317(f73(x62651),f40(x62651,x62652,x62653)),x62653),f40(x62651,f317(f73(x62651),x62652),x62653)) % 169.26/169.08 [6364]~P1(f317(f28(f905(x63642,x63641)),x63643))+P1(f317(f28(x63641),f317(f274(x63642,x63641),x63643))) % 169.26/169.08 [6365]~P1(f317(f28(f905(x63651,x63652)),x63653))+P1(f317(f28(x63651),f317(f254(x63651,x63652),x63653))) % 169.26/169.08 [6370]~P109(x63701)+E(f317(f317(f92(f906(x63701,a894)),f296(x63701,x63702,x63703)),f317(f273(x63701),x63703)),f178(f906(x63701,a894))) % 169.26/169.08 [6371]~P109(x63711)+E(f317(f317(f92(f906(x63711,a894)),f295(x63711,x63712,x63713)),f317(f294(x63711),x63713)),f178(f906(x63711,a894))) % 169.26/169.08 [6372]~P109(x63721)+E(f317(f317(f92(f906(x63721,a894)),f293(x63721,x63722,x63723)),f317(f294(x63721),x63723)),f178(f906(x63721,a894))) % 169.26/169.08 [6445]E(f317(f317(f154(x64451),x64452),f614(x64452,x64453,x64451)),x64453)+~P1(f317(f317(f319(x64451),x64453),f317(f162(x64451),x64452))) % 169.26/169.08 [6593]E(x65931,f103(x65932))+~E(f317(f317(f317(f173(f898(x65932),f898(x65932)),x65933),f157(x65932)),x65931),f103(x65932)) % 169.26/169.08 [6699]~P1(f317(f28(f905(x66992,x66991)),x66993))+P1(f317(f28(f905(x66991,x66992)),f317(f276(x66992,x66991),x66993))) % 169.26/169.08 [6722]E(x67221,x67222)+~E(f280(a897,f277(a897),x67223,x67221),f317(f317(f299(a897),x67222),f178(f906(a897,a894)))) % 169.26/169.08 [6723]E(x67231,x67232)+~E(f280(a897,f277(a897),x67231,x67232),f317(f317(f299(a897),x67233),f178(f906(a897,a894)))) % 169.26/169.08 [6858]P58(x68581,x68582,x68583)+P1(f317(f317(f319(x68581),f538(x68583,x68582,x68581)),x68582)) % 169.26/169.08 [6859]P58(x68591,x68592,x68593)+P1(f317(f317(f319(x68591),f537(x68593,x68592,x68591)),x68592)) % 169.26/169.08 [6869]P1(f317(f305(x68691,x68692),x68693))+P1(f317(f317(x68692,f873(x68693,x68692,x68691)),x68693)) % 169.26/169.08 [6870]P1(f317(f305(x68701,x68702),x68703))+P1(f317(f317(x68702,f885(x68703,x68702,x68701)),x68703)) % 169.26/169.08 [6901]E(f317(f179(f898(x69011)),f160(x69011,x69012,x69013)),f317(f317(f23(a897),f317(f179(f898(x69011)),x69013)),f72(a897)))+~P1(f317(f317(f319(x69011),x69012),f317(f162(x69011),x69013))) % 169.26/169.08 [6940]P1(f317(f238(x69401,x69402),x69403))+P1(f317(f317(f319(x69401),f513(x69403,x69402,x69401)),x69403)) % 169.26/169.08 [6949]~P1(f317(f28(f905(x69492,x69491)),f317(f276(x69491,x69492),x69493)))+P1(f317(f28(f905(x69491,x69492)),x69493)) % 169.26/169.08 [7009]~P1(f317(f317(f319(x70091),x70092),f317(f162(x70091),f104(x70091,x70093))))+P1(f317(f317(f319(x70091),x70092),f317(f162(x70091),x70093))) % 169.26/169.08 [7044]E(f317(f126(x70441,x70442),x70443),x70443)+P1(f317(f317(f319(x70441),f651(x70443,x70442,x70441)),f317(f162(x70441),x70443))) % 169.26/169.08 [7060]E(f317(f126(x70601,x70602),x70603),f103(x70601))+P1(f317(f317(f319(x70601),f650(x70603,x70602,x70601)),f317(f162(x70601),x70603))) % 169.26/169.08 [7085]P33(x70851,x70852,x70853)+P1(f317(f317(f319(x70851),f738(x70853,x70852,x70851)),f317(f162(x70851),x70853))) % 169.26/169.08 [7086]P33(x70861,x70862,x70863)+P1(f317(f317(f319(x70861),f745(x70863,x70862,x70861)),f317(f162(x70861),x70863))) % 169.26/169.08 [7087]P33(x70871,x70872,x70873)+P1(f317(f317(f319(x70871),f744(x70872,x70873,x70871)),f317(f162(x70871),x70873))) % 169.26/169.08 [7090]E(f167(x70901,x70902,x70903),x70903)+P1(f317(f317(f319(x70901),f696(x70903,x70902,x70901)),f317(f162(x70901),x70903))) % 169.26/169.08 [7166]P1(f317(f150(x71661,x71662),x71663))+P1(f317(f317(f319(x71661),f652(x71663,x71662,x71661)),f317(f162(x71661),x71663))) % 169.26/169.08 [7175]~P35(x71751,x71753,x71752)+P1(f317(f317(f319(x71751),f730(x71752,x71753,x71751)),f317(f162(x71751),x71752))) % 169.26/169.08 [7176]~P37(x71761,x71763,x71762)+P1(f317(f317(f319(x71761),f737(x71762,x71763,x71761)),f317(f162(x71761),x71762))) % 169.26/169.08 [7177]~P37(x71771,x71773,x71772)+P1(f317(f317(f319(x71771),f746(x71772,x71773,x71771)),f317(f162(x71771),x71772))) % 169.26/169.08 [7178]~P35(x71781,x71783,x71782)+P1(f317(f317(f319(x71781),f773(x71782,x71783,x71781)),f317(f162(x71781),x71782))) % 169.26/169.08 [7179]~P35(x71791,x71792,x71793)+P1(f317(f317(f319(x71791),f775(x71792,x71793,x71791)),f317(f162(x71791),x71793))) % 169.26/169.08 [7213]P1(f317(f317(f319(x72131),x72132),f616(x72133,x72132,x72131)))+~P1(f317(f317(f319(x72131),x72132),f31(f906(x72131,a894),x72133))) % 169.26/169.08 [7214]~P76(x72141)+E(f317(f317(f74(x72141),f317(f317(f6(a897,x72141),x72142),f317(f272(a897),x72143))),f317(x72142,x72143)),f317(f317(f6(a897,x72141),x72142),f317(f272(a897),f317(a102,x72143)))) % 169.26/169.08 [7226]P32(x72261,x72262,x72263)+P1(f317(f317(f319(a897),f808(x72263,x72262,x72261)),f317(f292(a897,x72262),x72263))) % 169.26/169.08 [7306]~P35(x73062,x73061,x73063)+P1(f317(x73061,f317(f317(f154(x73062),x73063),f734(x73063,x73061,x73062)))) % 169.26/169.08 [7317]~P1(f317(f317(f319(x73171),x73172),f601(x73172,x73173,x73171)))+P1(f317(f317(f319(x73171),x73172),f32(f906(x73171,a894),x73173))) % 169.26/169.08 [7350]~P76(x73501)+E(f317(f317(f74(x73501),f317(f317(f6(a897,x73501),x73502),f317(f291(a897),x73503))),f317(x73502,f317(a102,x73503))),f317(f317(f6(a897,x73501),x73502),f317(f291(a897),f317(a102,x73503)))) % 169.26/169.08 [7491]P1(f317(f317(f319(f898(x74911)),x74912),f151(x74911,x74913)))+P1(f317(f317(f319(x74911),f638(x74913,x74912,x74911)),f317(f162(x74911),x74912))) % 169.26/169.08 [7507]~P1(f317(f317(f319(f898(x75071)),x75072),f151(x75071,f306(x75071,x75073))))+P1(f317(f317(f319(f898(x75071)),x75072),f306(f898(x75071),f147(x75071,x75073)))) % 169.26/169.08 [7531]~P1(f317(f317(f319(f898(x75311)),x75312),f306(f898(x75311),f147(x75311,x75313))))+P1(f317(f317(f319(f898(x75311)),x75312),f151(x75311,f306(x75311,x75313)))) % 169.26/169.08 [7563]E(f317(f317(f317(f173(f898(x75631),f898(x75631)),x75632),f157(x75631)),x75633),x75633)+~P1(f317(f317(f224(a897),f317(f179(f898(x75631)),x75633)),f72(a897))) % 169.26/169.08 [7596]E(f317(f317(f124(x75961),f735(x75962,x75963,x75961)),f317(f317(f141(x75961),x75963),f736(x75962,x75963,x75961))),x75962)+~P1(f317(f317(f319(x75961),x75963),f317(f162(x75961),x75962))) % 169.26/169.08 [7597]E(f317(f317(f124(x75971),f740(x75972,x75973,x75971)),f317(f317(f141(x75971),x75973),f741(x75972,x75973,x75971))),x75972)+~P1(f317(f317(f319(x75971),x75973),f317(f162(x75971),x75972))) % 169.26/169.08 [7598]E(f317(f317(f124(x75981),f742(x75982,x75983,x75981)),f317(f317(f141(x75981),x75983),f743(x75982,x75983,x75981))),x75982)+~P1(f317(f317(f319(x75981),x75983),f317(f162(x75981),x75982))) % 169.26/169.08 [7619]~P27(x76191,x76192,x76193,f232(f906(x76191,a894)))+P27(f898(x76191),f898(x76192),f317(f144(x76191,x76192),x76193),f232(f906(f898(x76191),a894))) % 169.26/169.08 [7772]E(x77721,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x77722)),x77723)),f317(f246(a897,a897),x77722)))+~P1(f317(f43(x77721,x77723),x77722)) % 169.26/169.08 [7780]P27(x77801,x77802,x77803,f232(f906(x77801,a894)))+~P27(f898(x77801),f898(x77802),f317(f144(x77801,x77802),x77803),f232(f906(f898(x77801),a894))) % 169.26/169.08 [7825]P1(f317(f317(f319(f906(x78251,a894)),f601(x78252,x78253,x78251)),x78253))+P1(f317(f317(f319(x78251),x78252),f32(f906(x78251,a894),x78253))) % 169.26/169.08 [7916]P1(f317(f317(f319(f898(x79161)),x79162),f151(x79161,x79163)))+~P1(f317(f317(f319(x79161),f638(x79163,x79162,x79161)),x79163)) % 169.26/169.08 [8017]P33(x80171,x80172,x80173)+~P1(f317(x80172,f317(f317(f154(x80171),x80173),f739(x80173,x80172,x80171)))) % 169.26/169.08 [8042]E(x80421,x80422)+~E(f317(f317(f7(x80423,f906(x80423,a894),a894),f319(x80423)),x80421),f317(f317(f7(x80423,f906(x80423,a894),a894),f319(x80423)),x80422)) % 169.26/169.08 [8050]~P1(f317(f317(f319(f905(x80501,x80501)),x80503),f253(x80501,x80502)))+P1(f317(f317(f319(x80501),f434(x80502,x80503,x80501)),x80502)) % 169.26/169.08 [8052]~P1(f317(f317(f319(x80521),x80523),f31(f906(x80521,a894),x80522)))+P1(f317(f317(f319(f906(x80521,a894)),f616(x80522,x80523,x80521)),x80522)) % 169.26/169.08 [8171]P27(x81711,x81712,f85(x81712,x81711,f232(f906(x81712,a894)),x81713),f232(f906(x81711,a894)))+~E(f317(f300(x81712,x81711,x81713),f232(f906(x81712,a894))),f232(f906(x81711,a894))) % 169.26/169.08 [8225]~P1(f317(f317(f319(x82251),x82252),f317(f162(x82251),f740(x82253,x82252,x82251))))+~P1(f317(f317(f319(x82251),x82252),f317(f162(x82251),x82253))) % 169.26/169.08 [8226]~P1(f317(f317(f319(x82261),x82262),f317(f162(x82261),f743(x82263,x82262,x82261))))+~P1(f317(f317(f319(x82261),x82262),f317(f162(x82261),x82263))) % 169.26/169.08 [8255]P32(f317(f67(a894,a894,a897,a312),x82551),x82552,x82553)+P35(a897,x82551,f129(a897,f317(f292(a897,x82552),x82553))) % 169.26/169.08 [8416]E(x84161,f103(x84162))+P1(f317(f317(f319(x84162),f317(f241(x84162,f905(a89,a89)),f317(f265(x84162,x84161),x84163))),f317(f162(x84162),x84161))) % 169.26/169.08 [8515]~P73(x85151)+E(f317(f132(x85151,x85151,f317(f7(x85151,x85151,x85151),f74(x85151)),x85152),f317(f158(x85151),x85153)),f317(f132(x85151,x85151,f74(x85151),x85152),x85153)) % 169.26/169.08 [8707]~P27(x87072,x87071,x87073,f232(f906(x87072,a894)))+E(f317(f300(x87071,x87072,f85(x87072,x87071,f232(f906(x87072,a894)),x87073)),f232(f906(x87071,a894))),f232(f906(x87072,a894))) % 169.26/169.08 [8777]~P32(f317(f67(a894,a894,a897,a312),x87771),x87772,x87773)+~P35(a897,x87771,f129(a897,f317(f292(a897,x87772),x87773))) % 169.26/169.08 [9024]~P4(x90241)+E(f317(f162(x90241),f139(x90241,x90241,f5(x90241),x90242,x90243)),f317(f317(f299(x90241),x90242),f317(f162(x90241),x90243))) % 169.26/169.08 [9033]~E(f317(x90333,f317(f85(x90331,x90332,f232(f906(x90331,a894)),x90333),f790(x90333,x90332,x90331))),f790(x90333,x90332,x90331))+E(f317(f300(x90331,x90332,x90333),f232(f906(x90331,a894))),f232(f906(x90332,a894))) % 169.26/169.08 [9035]P1(f317(f317(f225(a897),f2(a897)),f563(x90351,x90352,x90353)))+~P1(f317(f317(f319(f905(x90353,x90353)),x90352),f317(f317(f279(x90353,x90353,x90353),x90351),f297(x90353,x90351)))) % 169.26/169.08 [9312]~P60(x93121,x93122)+~P1(f317(f317(f319(f905(x93121,x93121)),f317(f317(f242(x93121,x93121),x93123),x93123)),f317(f317(f279(x93121,x93121,x93121),x93122),f297(x93121,x93122)))) % 169.26/169.08 [9452]~E(f317(f317(f92(f906(f905(x94521,x94521),a894)),f317(f276(x94521,x94521),x94522)),f297(x94521,x94522)),f178(f906(f905(x94521,x94521),a894)))+~P1(f317(f317(f319(f905(x94521,x94521)),f317(f317(f242(x94521,x94521),x94523),x94523)),f317(f317(f279(x94521,x94521,x94521),x94522),f297(x94521,x94522)))) % 169.26/169.08 [9643]~P1(f317(f28(x96431),x96432))+P1(f317(f317(f224(a897),f317(f29(x96431),f317(f317(f23(f906(x96431,a894)),x96432),f317(f317(f299(x96431),x96433),f178(f906(x96431,a894)))))),f317(f29(x96431),x96432))) % 169.26/169.08 [5127]~E(x51273,f103(x51271))+E(f134(x51271,f317(f317(f141(x51271),x51272),x51273)),x51272) % 169.26/169.08 [5136]~E(x51363,f103(x51361))+E(f104(x51361,f317(f317(f141(x51361),x51362),x51363)),f103(x51361)) % 169.26/169.08 [5166]E(x51661,f103(x51662))+E(f134(x51662,f317(f317(f141(x51662),x51663),x51661)),f134(x51662,x51661)) % 169.26/169.08 [5168]E(x51681,f103(x51682))+E(f134(x51682,f317(f317(f124(x51682),x51683),x51681)),f134(x51682,x51681)) % 169.26/169.08 [5174]~E(x51743,f103(x51741))+E(f104(x51741,f317(f317(f124(x51741),x51742),x51743)),f104(x51741,x51742)) % 169.26/169.08 [5176]~E(x51763,f103(x51761))+E(f134(x51761,f317(f317(f124(x51761),x51762),x51763)),f134(x51761,x51762)) % 169.26/169.08 [5209]E(x52091,f103(x52092))+E(f317(f131(x52092),f317(f317(f124(x52092),x52091),x52093)),f317(f131(x52092),x52091)) % 169.26/169.08 [5237]~E(x52372,f103(x52371))+E(f317(f131(x52371),f317(f317(f124(x52371),x52372),x52373)),f317(f131(x52371),x52373)) % 169.26/169.08 [5289]~P4(x52891)+E(f317(f317(f228(x52891),x52892),f317(f317(f223(x52891),x52892),x52893)),x52892) % 169.26/169.08 [5290]~P4(x52901)+E(f317(f317(f223(x52901),x52902),f317(f317(f228(x52901),x52902),x52903)),x52902) % 169.26/169.08 [5291]~P101(x52911)+E(f317(f317(f91(x52911),x52912),f317(f317(f92(x52911),x52912),x52913)),x52912) % 169.26/169.08 [5292]~P101(x52921)+E(f317(f317(f92(x52921),x52922),f317(f317(f91(x52921),x52922),x52923)),x52922) % 169.26/169.08 [5311]~P6(x53111)+E(f40(x53111,f317(f317(f75(x53111),x53112),x53113),x53113),f2(x53111)) % 169.26/169.08 [5312]~P6(x53121)+E(f40(x53121,f317(f317(f75(x53121),x53122),x53123),x53122),f2(x53121)) % 169.26/169.08 [5380]~P70(x53801)+E(f317(f73(x53801),f317(f317(f23(x53801),x53802),x53803)),f317(f317(f23(x53801),x53803),x53802)) % 169.26/169.08 [5443]E(x54431,f103(x54432))+E(f104(x54432,f317(f317(f141(x54432),x54433),x54431)),f317(f317(f141(x54432),x54433),f104(x54432,x54431))) % 169.26/169.08 [5444]E(x54441,f103(x54442))+E(f104(x54442,f317(f317(f124(x54442),x54443),x54441)),f317(f317(f124(x54442),x54443),f104(x54442,x54441))) % 169.26/169.08 [5447]~P8(x54471)+E(f32(x54471,f317(f317(f299(x54471),x54472),x54473)),f317(f317(f92(x54471),x54472),f32(x54471,x54473))) % 169.26/169.08 [5448]~P8(x54481)+E(f31(x54481,f317(f317(f299(x54481),x54482),x54483)),f317(f317(f91(x54481),x54482),f31(x54481,x54483))) % 169.26/169.08 [5494]~P99(x54941)+E(f317(f317(f75(x54941),x54942),f317(f317(f75(x54941),x54942),x54943)),f317(f317(f75(x54941),x54942),x54943)) % 169.26/169.08 [5496]~P4(x54961)+E(f317(f317(f228(x54961),x54962),f317(f317(f228(x54961),x54962),x54963)),f317(f317(f228(x54961),x54962),x54963)) % 169.26/169.08 [5498]~P4(x54981)+E(f317(f317(f223(x54981),x54982),f317(f317(f223(x54981),x54982),x54983)),f317(f317(f223(x54981),x54982),x54983)) % 169.26/169.08 [5500]~P100(x55001)+E(f317(f317(f91(x55001),x55002),f317(f317(f91(x55001),x55002),x55003)),f317(f317(f91(x55001),x55002),x55003)) % 169.26/169.08 [5501]~P101(x55011)+E(f317(f317(f91(x55011),x55012),f317(f317(f91(x55011),x55012),x55013)),f317(f317(f91(x55011),x55012),x55013)) % 169.26/169.08 [5502]~P101(x55021)+E(f317(f317(f92(x55021),x55022),f317(f317(f92(x55021),x55022),x55023)),f317(f317(f92(x55021),x55022),x55023)) % 169.26/169.08 [5504]~P106(x55041)+E(f317(f317(f92(x55041),x55042),f317(f317(f92(x55041),x55042),x55043)),f317(f317(f92(x55041),x55042),x55043)) % 169.26/169.08 [5511]~P6(x55111)+E(f40(x55111,f317(f317(f74(x55111),x55112),x55113),x55113),f40(x55111,x55112,x55113)) % 169.26/169.08 [5512]~P6(x55121)+E(f40(x55121,f317(f317(f74(x55121),x55122),x55123),x55122),f40(x55121,x55123,x55122)) % 169.26/169.08 [5521]~P132(x55211)+E(f317(f317(f75(x55211),x55212),f317(f73(x55211),x55213)),f317(f73(x55211),f317(f317(f75(x55211),x55212),x55213))) % 169.26/169.08 [5522]~P64(x55221)+E(f317(f317(f281(x55221),x55222),f317(f73(x55221),x55223)),f317(f73(x55221),f317(f317(f281(x55221),x55222),x55223))) % 169.26/169.08 [5523]~P83(x55231)+E(f317(f317(f74(x55231),x55232),f317(f155(x55231),x55233)),f317(f155(x55231),f317(f317(f141(x55231),x55232),x55233))) % 169.26/169.08 [5551]~P132(x55511)+E(f317(f317(f75(x55511),f317(f73(x55511),x55512)),x55513),f317(f317(f75(x55511),x55512),f317(f73(x55511),x55513))) % 169.26/169.08 [5557]~P11(x55571,x55572,x55573)+E(f31(f906(x55571,a894),f317(f317(f55(x55571),x55572),x55573)),x55572) % 169.26/169.08 [5623]~P115(x56231)+E(f317(f317(f75(x56231),x56232),f317(f317(f234(x56231),x56232),x56233)),f317(f317(f234(x56231),x56232),f317(a102,x56233))) % 169.26/169.08 [5624]~P112(x56241)+E(f317(f317(f75(x56241),x56242),f317(f317(f234(x56241),x56242),x56243)),f317(f317(f234(x56241),x56242),f317(a102,x56243))) % 169.26/169.08 [5634]~P78(x56341)+E(f317(f317(f74(x56341),f317(f73(x56341),x56342)),f317(f317(f74(x56341),x56342),x56343)),x56343) % 169.26/169.08 [5657]~P144(x56571)+E(f317(f317(f234(x56571),f317(f90(x56571),x56572)),x56573),f317(f90(x56571),f317(f317(f234(a897),x56572),x56573))) % 169.26/169.08 [5658]~P128(x56581)+E(f317(f317(f234(x56581),f317(f93(x56581),x56582)),x56583),f317(f93(x56581),f317(f317(f234(a1),x56582),x56583))) % 169.26/169.08 [5664]~P89(x56641)+E(f317(f70(x56641),f317(f317(f23(x56641),x56642),x56643)),f317(f70(x56641),f317(f317(f23(x56641),x56643),x56642))) % 169.26/169.08 [5666]~P111(x56661)+E(f317(f317(f75(x56661),f76(x56661,x56662)),f76(x56661,x56663)),f76(x56661,f317(f317(f75(x56661),x56662),x56663))) % 169.26/169.08 [5670]E(x56701,f103(x56702))+E(f317(f317(f124(x56702),f317(f161(x56702),x56701)),x56703),f317(f161(x56702),f317(f317(f124(x56702),x56701),x56703))) % 169.26/169.08 [5676]~E(x56762,f317(a102,f317(f317(f74(a897),x56761),x56763)))+P1(f317(f317(f225(a897),x56761),x56762)) % 169.26/169.08 [5677]~P132(x56771)+E(f317(f317(f75(x56771),f317(f73(x56771),x56772)),x56773),f317(f73(x56771),f317(f317(f75(x56771),x56772),x56773))) % 169.26/169.08 [5678]~P122(x56781)+E(f317(f317(f281(x56781),f317(f73(x56781),x56782)),x56783),f317(f73(x56781),f317(f317(f281(x56781),x56782),x56783))) % 169.26/169.08 [5679]~P111(x56791)+E(f317(f317(f234(x56791),f317(f70(x56791),x56792)),x56793),f317(f70(x56791),f317(f317(f234(x56791),x56792),x56793))) % 169.26/169.08 [5777]E(f393(x57771,x57772,x57773),f397(x57771,x57772,x57773))+E(f317(f317(f92(f906(x57773,a894)),x57772),x57771),f178(f906(x57773,a894))) % 169.26/169.08 [5792]~P79(x57922)+E(f317(f317(f9(x57921,x57922),f317(f16(x57922,x57921),f72(x57922))),x57923),f72(x57922)) % 169.26/169.08 [5793]~P76(x57932)+E(f317(f317(f6(x57931,x57932),f317(f16(x57932,x57931),f2(x57932))),x57933),f2(x57932)) % 169.26/169.08 [5795]~P95(x57951)+E(f317(f317(f23(x57951),f317(f94(x57951),x57952)),f317(f94(x57951),x57953)),f317(f94(x57951),f317(f317(f23(a1),x57952),x57953))) % 169.26/169.08 [5798]~P144(x57981)+E(f317(f317(f74(x57981),f317(f90(x57981),x57982)),f317(f90(x57981),x57983)),f317(f90(x57981),f317(f317(f74(a897),x57982),x57983))) % 169.26/169.08 [5799]~P144(x57991)+E(f317(f317(f75(x57991),f317(f90(x57991),x57992)),f317(f90(x57991),x57993)),f317(f90(x57991),f317(f317(f75(a897),x57992),x57993))) % 169.26/169.08 [5800]~P128(x58001)+E(f317(f317(f23(x58001),f317(f93(x58001),x58002)),f317(f93(x58001),x58003)),f317(f93(x58001),f317(f317(f23(a1),x58002),x58003))) % 169.26/169.08 [5801]~P128(x58011)+E(f317(f317(f74(x58011),f317(f93(x58011),x58012)),f317(f93(x58011),x58013)),f317(f93(x58011),f317(f317(f74(a1),x58012),x58013))) % 169.26/169.08 [5802]~P128(x58021)+E(f317(f317(f75(x58021),f317(f93(x58021),x58022)),f317(f93(x58021),x58023)),f317(f93(x58021),f317(f317(f75(a1),x58022),x58023))) % 169.26/169.08 [5803]~P95(x58031)+E(f317(f317(f74(x58031),f317(f94(x58031),x58032)),f317(f94(x58031),x58033)),f317(f94(x58031),f317(f317(f74(a1),x58032),x58033))) % 169.26/169.08 [5804]~P95(x58041)+E(f317(f317(f75(x58041),f317(f94(x58041),x58042)),f317(f94(x58041),x58043)),f317(f94(x58041),f317(f317(f75(a1),x58042),x58043))) % 169.26/169.08 [5852]~E(x58523,x58522)+P1(f317(f317(f224(f906(x58521,a894)),x58522),x58523)) % 169.26/169.08 [5858]~E(x58582,x58583)+P1(f317(f317(f224(f906(x58581,a894)),x58582),x58583)) % 169.26/169.08 [5863]~P78(x58631)+E(f317(f317(f74(x58631),f317(f73(x58631),x58632)),f317(f73(x58631),x58633)),f317(f73(x58631),f317(f317(f74(x58631),x58633),x58632))) % 169.26/169.08 [5864]~P70(x58641)+E(f317(f317(f74(x58641),f317(f73(x58641),x58642)),f317(f73(x58641),x58643)),f317(f73(x58641),f317(f317(f74(x58641),x58642),x58643))) % 169.26/169.08 [5865]~P77(x58651)+E(f317(f317(f223(x58651),f317(f73(x58651),x58652)),f317(f73(x58651),x58653)),f317(f73(x58651),f317(f317(f228(x58651),x58652),x58653))) % 169.26/169.08 [5866]~P77(x58661)+E(f317(f317(f228(x58661),f317(f73(x58661),x58662)),f317(f73(x58661),x58663)),f317(f73(x58661),f317(f317(f223(x58661),x58662),x58663))) % 169.26/169.08 [5867]~P98(x58671)+E(f317(f317(f92(x58671),f317(f73(x58671),x58672)),f317(f73(x58671),x58673)),f317(f73(x58671),f317(f317(f91(x58671),x58672),x58673))) % 169.26/169.08 [5868]~P98(x58681)+E(f317(f317(f91(x58681),f317(f73(x58681),x58682)),f317(f73(x58681),x58683)),f317(f73(x58681),f317(f317(f92(x58681),x58682),x58683))) % 169.26/169.08 [5869]~P111(x58691)+E(f317(f317(f75(x58691),f317(f70(x58691),x58692)),f317(f70(x58691),x58693)),f317(f70(x58691),f317(f317(f75(x58691),x58692),x58693))) % 169.26/169.08 [5870]~P66(x58701)+E(f317(f317(f281(x58701),f317(f70(x58701),x58702)),f317(f70(x58701),x58703)),f317(f70(x58701),f317(f317(f281(x58701),x58702),x58703))) % 169.26/169.08 [5871]~P83(x58711)+E(f317(f317(f74(x58711),f317(f155(x58711),x58712)),f317(f155(x58711),x58713)),f317(f155(x58711),f317(f317(f124(x58711),x58712),x58713))) % 169.26/169.08 [5872]E(x58721,f178(f906(x58722,a894)))+~E(f317(f317(f91(f906(x58722,a894)),x58723),x58721),f178(f906(x58722,a894))) % 169.26/169.08 [5873]E(x58731,f178(f906(x58732,a894)))+~E(f317(f317(f91(f906(x58732,a894)),x58731),x58733),f178(f906(x58732,a894))) % 169.26/169.08 [5874]~P148(x58741,x58743,x58742)+P1(f317(x58741,f317(f317(f30(a1),x58742),x58743))) % 169.26/169.08 [5939]~P1(f317(f28(x59391),x59393))+P1(f317(f28(x59391),f317(f317(f299(x59391),x59392),x59393))) % 169.26/169.08 [5940]~P1(f317(f127(x59401),x59403))+P1(f317(f127(x59401),f317(f317(f165(x59401),x59402),x59403))) % 169.26/169.08 [5941]~P1(f317(f127(x59411),x59413))+P1(f317(f127(x59411),f317(f317(f128(x59411),x59412),x59413))) % 169.26/169.08 [5973]~P4(x59731)+P1(f317(f317(f224(x59731),x59732),f317(f317(f223(x59731),x59733),x59732))) % 169.26/169.08 [5974]~P4(x59741)+P1(f317(f317(f224(x59741),x59742),f317(f317(f223(x59741),x59742),x59743))) % 169.26/169.08 [5975]~P100(x59751)+P1(f317(f317(f224(x59751),x59752),f317(f317(f91(x59751),x59753),x59752))) % 169.26/169.08 [5976]~P101(x59761)+P1(f317(f317(f224(x59761),x59762),f317(f317(f91(x59761),x59763),x59762))) % 169.26/169.08 [5977]~P100(x59771)+P1(f317(f317(f224(x59771),x59772),f317(f317(f91(x59771),x59772),x59773))) % 169.26/169.08 [5978]~P101(x59781)+P1(f317(f317(f224(x59781),x59782),f317(f317(f91(x59781),x59782),x59783))) % 169.26/169.08 [5979]~P112(x59791)+P1(f317(f317(f277(x59791),x59792),f317(f317(f75(x59791),x59793),x59792))) % 169.26/169.08 [5980]~P112(x59801)+P1(f317(f317(f277(x59801),x59802),f317(f317(f75(x59801),x59802),x59803))) % 169.26/169.08 [5994]~E(x59941,f2(a897))+E(f317(f317(f30(a897),f317(f317(f75(a897),x59941),x59942)),f317(f317(f75(a897),x59941),x59943)),f2(a897)) % 169.26/169.08 [6076]~P95(x60761)+E(f317(f317(f23(x60761),f317(f94(x60761),x60762)),f317(f94(x60761),x60763)),f317(f94(x60761),f317(f317(f74(a1),x60762),f317(f73(a1),x60763)))) % 169.26/169.08 [6136]E(x61361,f2(a897))+E(f317(f317(f30(a897),f317(f317(f75(a897),x61361),x61362)),f317(f317(f75(a897),x61361),x61363)),f317(f317(f30(a897),x61362),x61363)) % 169.26/169.08 [6166]E(f142(x61661,f317(f317(f141(x61661),x61662),x61663)),f317(f317(f141(x61661),x61662),f142(x61661,x61663)))+P1(f317(f317(f319(x61661),x61662),f317(f162(x61661),x61663))) % 169.26/169.08 [6202]P148(x62021,x62022,x62023)+~P1(f317(x62021,f317(f317(f30(a1),x62023),x62022))) % 169.26/169.08 [6278]E(x62781,f103(x62782))+E(f317(f317(f141(x62782),f317(f131(x62782),x62781)),f317(f317(f165(x62782),x62783),f317(f161(x62782),x62781))),f317(f317(f165(x62782),f317(a102,x62783)),x62781)) % 169.26/169.08 [6287]E(f317(f317(f23(f906(x62871,a894)),x62872),x62873),x62872)+~E(f317(f317(f92(f906(x62871,a894)),x62872),x62873),f178(f906(x62871,a894))) % 169.26/169.08 [6301]E(f142(x63011,f317(f317(f141(x63011),x63012),x63013)),f142(x63011,x63013))+~P1(f317(f317(f319(x63011),x63012),f317(f162(x63011),x63013))) % 169.26/169.08 [6332]~P1(f317(f317(f224(a897),x63321),x63323))+P1(f317(f317(f224(a897),x63321),f317(f317(f74(a897),x63322),x63323))) % 169.26/169.08 [6334]~P1(f317(f317(f224(a897),x63341),x63342))+P1(f317(f317(f224(a897),x63341),f317(f317(f74(a897),x63342),x63343))) % 169.26/169.08 [6336]~P1(f317(f317(f225(a897),x63361),x63363))+P1(f317(f317(f225(a897),x63361),f317(f317(f74(a897),x63362),x63363))) % 169.26/169.08 [6338]~P1(f317(f317(f225(a897),x63381),x63382))+P1(f317(f317(f225(a897),x63381),f317(f317(f74(a897),x63382),x63383))) % 169.26/169.08 [6378]P1(f317(f28(x63781),x63782))+~P1(f317(f28(x63781),f317(f317(f299(x63781),x63783),x63782))) % 169.26/169.08 [6379]P1(f317(f127(x63791),x63792))+~P1(f317(f127(x63791),f317(f317(f141(x63791),x63793),x63792))) % 169.26/169.08 [6380]P1(f317(f127(x63801),x63802))+~P1(f317(f127(x63801),f317(f317(f124(x63801),x63803),x63802))) % 169.26/169.08 [6381]P1(f317(f127(x63811),x63812))+~P1(f317(f127(x63811),f317(f317(f124(x63811),x63812),x63813))) % 169.26/169.08 [6435]~P112(x64351)+E(f317(f317(f74(x64351),x64352),f317(f317(f75(x64351),x64353),x64352)),f317(f317(f75(x64351),f317(f317(f74(x64351),x64353),f72(x64351))),x64352)) % 169.26/169.08 [6482]~E(x64821,x64822)+~P1(f317(f317(f225(f906(x64823,a894)),x64821),x64822)) % 169.26/169.08 [6528]P1(f317(f317(f319(x65281),x65282),x65283))+P1(f317(f317(f319(x65281),x65282),f317(f73(f906(x65281,a894)),x65283))) % 169.26/169.08 [6534]E(f134(x65341,f317(f317(f128(x65341),x65342),x65343)),f134(x65341,x65343))+~P1(f317(f317(f225(a897),x65342),f317(f179(f898(x65341)),x65343))) % 169.26/169.08 [6535]E(f317(f317(f165(x65351),x65352),f104(x65351,x65353)),f317(f317(f165(x65351),x65352),x65353))+~P1(f317(f317(f225(a897),x65352),f317(f179(f898(x65351)),x65353))) % 169.26/169.08 [6595]E(f317(f317(f317(f173(f898(x65951),f898(x65951)),x65952),f157(x65951)),x65953),x65953)+~E(f40(a897,x65952,f317(f179(f898(x65951)),x65953)),f2(a897)) % 169.26/169.08 [6602]~P11(x66021,x66023,x66022)+E(f317(f317(f279(x66021,x66021,x66021),f317(f276(x66021,x66021),x66022)),x66022),x66022) % 169.26/169.08 [6645]~E(f317(f317(f91(f906(x66451,a894)),x66452),x66453),x66453)+P1(f317(f317(f224(f906(x66451,a894)),x66452),x66453)) % 169.26/169.08 [6650]~P57(x66501,x66501,x66503)+P57(x66501,x66501,f317(f317(f173(f905(x66501,x66501),a894),x66502),x66503)) % 169.26/169.08 [6653]~P1(f317(f317(f319(x66531),x66533),f317(f162(x66531),x66532)))+P1(f317(f317(f225(a897),f2(a897)),f317(f179(f898(x66531)),x66532))) % 169.26/169.08 [6681]~P89(x66811)+E(f317(f70(x66811),f317(f317(f74(x66811),f317(f70(x66811),x66812)),f317(f70(x66811),x66813))),f317(f317(f74(x66811),f317(f70(x66811),x66812)),f317(f70(x66811),x66813))) % 169.26/169.08 [6692]E(f317(f317(f30(a897),f317(f317(f75(a897),x66921),x66922)),f317(f317(f75(a897),x66921),x66923)),f317(f317(f30(a897),x66922),x66923))+~P1(f317(f317(f225(a897),f2(a897)),x66921)) % 169.26/169.08 [6835]~P1(f317(f28(x68351),x68353))+E(f317(f317(f58(x68351,f906(x68351,a894),f299(x68351)),x68352),x68353),f317(f317(f91(f906(x68351,a894)),x68353),x68352)) % 169.26/169.08 [6894]E(f317(f317(f91(f906(x68941,a894)),x68942),x68943),x68942)+~P1(f317(f317(f224(f906(x68941,a894)),x68943),x68942)) % 169.26/169.08 [6896]E(f317(f317(f91(f906(x68961,a894)),x68962),x68963),x68963)+~P1(f317(f317(f224(f906(x68961,a894)),x68962),x68963)) % 169.26/169.08 [6897]E(f317(f317(f92(f906(x68971,a894)),x68972),x68973),x68973)+~P1(f317(f317(f224(f906(x68971,a894)),x68973),x68972)) % 169.26/169.08 [6898]E(f317(f317(f92(f906(x68981,a894)),x68982),x68983),x68982)+~P1(f317(f317(f224(f906(x68981,a894)),x68982),x68983)) % 169.26/169.08 [6947]~P1(f317(f127(x69471),x69472))+E(f317(f317(f23(f906(x69471,a894)),f317(f162(x69471),x69472)),f317(f317(f299(x69471),x69473),f178(f906(x69471,a894)))),f317(f162(x69471),f160(x69471,x69473,x69472))) % 169.26/169.08 [7004]P39(x70041,x70042)+~P39(x70041,f317(f317(f173(f905(x70041,x70041),a894),x70043),x70042)) % 169.26/169.08 [7021]~E(x70211,f2(a897))+P1(f317(f317(f277(a897),f317(f317(f75(a897),x70211),x70212)),f317(f317(f75(a897),x70211),x70213))) % 169.26/169.08 [7072]P1(f317(f44(x70721,x70722),f317(a46,x70723)))+~P1(f317(f44(f317(f73(a1),x70721),f317(f73(a1),x70722)),x70723)) % 169.26/169.08 [7077]E(f317(f317(f23(f906(x70771,a894)),f317(f317(f299(x70771),x70772),x70773)),f317(f317(f299(x70771),x70772),f178(f906(x70771,a894)))),x70773)+P1(f317(f317(f319(x70771),x70772),x70773)) % 169.26/169.08 [7099]E(f317(f317(f92(f906(x70991,a894)),f317(f162(x70991),x70992)),f317(f162(x70991),x70993)),f178(f906(x70991,a894)))+~P1(f317(f127(x70991),f317(f317(f124(x70991),x70992),x70993))) % 169.26/169.08 [7114]~P1(f317(f317(f319(x71141),x71142),f317(f162(x71141),x71143)))+~P1(f317(f127(x71141),f317(f317(f141(x71141),x71142),x71143))) % 169.26/169.08 [7185]P33(x71851,x71852,x71853)+P1(f317(f317(f225(a897),f739(x71853,x71852,x71851)),f317(f179(f898(x71851)),x71853))) % 169.26/169.08 [7195]E(f317(f317(f92(f906(x71951,a894)),x71952),x71953),f178(f906(x71951,a894)))+P1(f317(f317(f319(x71951),f393(x71953,x71952,x71951)),x71952)) % 169.26/169.08 [7196]E(f317(f317(f92(f906(x71961,a894)),x71962),x71963),f178(f906(x71961,a894)))+P1(f317(f317(f319(x71961),f397(x71963,x71962,x71961)),x71963)) % 169.26/169.08 [7199]E(f104(x71991,f317(f317(f165(x71991),x71992),x71993)),f317(f317(f165(x71991),f317(f317(f23(a897),x71992),f72(a897))),x71993))+~P1(f317(f317(f224(a897),x71992),f317(f179(f898(x71991)),x71993))) % 169.26/169.08 [7259]~P35(x72593,x72592,x72591)+P1(f317(f317(f225(a897),f734(x72591,x72592,x72593)),f317(f179(f898(x72593)),x72591))) % 169.26/169.08 [7279]P1(f317(f317(f225(a897),f2(a897)),x72791))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x72792),x72791)),f317(f317(f75(a897),x72793),x72791))) % 169.26/169.08 [7280]P1(f317(f317(f225(a897),f2(a897)),x72801))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x72801),x72802)),f317(f317(f75(a897),x72801),x72803))) % 169.26/169.08 [7283]~P1(f317(f317(f319(x72831),x72832),x72833))+~P1(f317(f317(f319(x72831),x72832),f317(f73(f906(x72831,a894)),x72833))) % 169.26/169.08 [7289]~P1(f317(f317(f225(f906(x72891,a894)),x72892),x72893))+P1(f317(f317(f224(f906(x72891,a894)),x72892),x72893)) % 169.26/169.08 [7395]~P1(f317(f317(f224(a897),x73953),x73952))+P1(f317(f317(f224(a897),f317(f317(f23(a897),x73951),x73952)),f317(f317(f23(a897),x73951),x73953))) % 169.26/169.08 [7396]~P1(f317(f317(f224(a897),x73961),x73963))+P1(f317(f317(f224(a897),f317(f317(f23(a897),x73961),x73962)),f317(f317(f23(a897),x73963),x73962))) % 169.26/169.08 [7397]~P1(f317(f317(f224(a897),x73972),x73973))+P1(f317(f317(f224(a897),f317(f317(f74(a897),x73971),x73972)),f317(f317(f74(a897),x73971),x73973))) % 169.26/169.08 [7398]~P1(f317(f317(f224(a897),x73981),x73983))+P1(f317(f317(f224(a897),f317(f317(f74(a897),x73981),x73982)),f317(f317(f74(a897),x73983),x73982))) % 169.26/169.08 [7400]~P1(f317(f317(f224(a897),x74002),x74003))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x74001),x74002)),f317(f317(f75(a897),x74001),x74003))) % 169.26/169.08 [7402]~P1(f317(f317(f224(a897),x74021),x74023))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x74021),x74022)),f317(f317(f75(a897),x74023),x74022))) % 169.26/169.08 [7403]~P1(f317(f317(f224(a897),x74031),x74033))+P1(f317(f317(f224(a897),f317(f317(f30(a897),x74031),x74032)),f317(f317(f30(a897),x74033),x74032))) % 169.26/169.08 [7404]~P1(f317(f317(f224(a1),x74042),x74043))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x74041),x74042)),f317(f317(f74(a1),x74041),x74043))) % 169.26/169.08 [7407]~P1(f317(f317(f225(a897),x74072),x74073))+P1(f317(f317(f225(a897),f317(f317(f74(a897),x74071),x74072)),f317(f317(f74(a897),x74071),x74073))) % 169.26/169.08 [7408]~P1(f317(f317(f225(a897),x74081),x74083))+P1(f317(f317(f225(a897),f317(f317(f74(a897),x74081),x74082)),f317(f317(f74(a897),x74083),x74082))) % 169.26/169.08 [7409]~P1(f317(f317(f225(a1),x74091),x74093))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x74091),x74092)),f317(f317(f74(a1),x74093),x74092))) % 169.26/169.08 [7412]~P1(f317(f317(f277(a897),x74122),x74123))+P1(f317(f317(f277(a897),f317(f317(f75(a897),x74121),x74122)),f317(f317(f75(a897),x74121),x74123))) % 169.26/169.08 [7490]E(x74901,x74902)+~P1(f317(f317(f319(x74903),x74901),f317(f317(f299(x74903),x74902),f178(f906(x74903,a894))))) % 169.26/169.08 [7492]~E(f317(f317(f92(f906(x74921,a894)),x74922),x74923),f178(f906(x74921,a894)))+P1(f317(f317(f224(f906(x74921,a894)),x74922),f317(f73(f906(x74921,a894)),x74923))) % 169.26/169.08 [7497]P1(f317(f317(f319(f906(x74971,a894)),x74972),f317(f298(x74971),x74973)))+~P1(f317(f317(f224(f906(x74971,a894)),x74972),x74973)) % 169.26/169.08 [7548]E(f317(f317(f141(x75481),f317(f317(f154(x75481),x75482),x75483)),f317(f317(f128(x75481),f317(a102,x75483)),x75482)),f317(f317(f128(x75481),x75483),x75482))+~P1(f317(f317(f225(a897),x75483),f317(f179(f898(x75481)),x75482))) % 169.26/169.08 [7573]P1(f317(f317(f319(f905(x75731,x75731)),x75732),f297(x75731,x75733)))+~P1(f317(f317(f319(f905(x75731,x75731)),x75732),x75733)) % 169.26/169.08 [7582]~P1(f317(f317(f319(f906(x75821,a894)),x75822),f317(f298(x75821),x75823)))+P1(f317(f317(f224(f906(x75821,a894)),x75822),x75823)) % 169.26/169.08 [7627]P1(f317(f317(f224(f906(x76271,a894)),x76272),f31(f906(x76271,a894),x76273)))+~P1(f317(f317(f319(f906(x76271,a894)),x76272),x76273)) % 169.26/169.08 [7652]~P128(x76521)+E(f317(f317(f75(x76521),f317(f317(f234(x76521),f317(f73(x76521),f72(x76521))),x76522)),f317(f317(f234(x76521),x76523),x76522)),f317(f317(f234(x76521),f317(f73(x76521),x76523)),x76522)) % 169.26/169.08 [7674]E(f317(f317(f154(x76741),x76742),f317(f317(f23(a897),f317(f179(f898(x76741)),x76742)),f317(a102,x76743))),f317(f317(f154(x76741),f317(f158(x76741),x76742)),x76743))+~P1(f317(f317(f225(a897),x76743),f317(f179(f898(x76741)),x76742))) % 169.26/169.08 [7691]~E(f317(f317(f92(f906(x76911,a894)),f579(x76913,x76912,x76911)),x76913),f178(f906(x76911,a894)))+E(f317(f317(f92(f906(x76911,a894)),f31(f906(x76911,a894),x76912)),x76913),f178(f906(x76911,a894))) % 169.26/169.08 [7755]~P1(f317(f317(f319(x77553),x77552),f317(f162(x77553),x77551)))+P1(f317(f317(f225(a897),f614(x77551,x77552,x77553)),f317(f179(f898(x77553)),x77551))) % 169.26/169.08 [7763]P1(f317(f317(f319(x77631),f317(f317(f154(x77631),x77632),x77633)),f317(f162(x77631),x77632)))+~P1(f317(f317(f225(a897),x77633),f317(f179(f898(x77631)),x77632))) % 169.26/169.08 [7861]~P1(f317(x78612,f697(x78613,x78612,x78611)))+E(f317(f317(f128(x78611),f317(f179(f898(x78611)),f167(x78611,x78612,x78613))),x78613),f103(x78611)) % 169.26/169.08 [7874]P1(f317(f317(f224(f906(f898(x78741),a894)),f151(x78741,x78742)),f151(x78741,x78743)))+~P1(f317(f317(f224(f906(x78741,a894)),x78742),x78743)) % 169.26/169.08 [7875]P1(f317(f317(f224(f906(f898(x78751),a894)),f150(x78751,x78752)),f150(x78751,x78753)))+~P1(f317(f317(f224(f906(x78751,a894)),x78752),x78753)) % 169.26/169.08 [7902]E(f317(f317(f92(f906(x79021,a894)),f31(f906(x79021,a894),x79022)),x79023),f178(f906(x79021,a894)))+P1(f317(f317(f319(f906(x79021,a894)),f579(x79023,x79022,x79021)),x79022)) % 169.26/169.08 [7904]~P1(f317(f317(f319(f906(x79041,a894)),x79043),x79042))+P1(f317(f317(f224(f906(x79041,a894)),f32(f906(x79041,a894),x79042)),x79043)) % 169.26/169.08 [7906]E(f317(f317(f92(f906(x79061,a894)),x79062),x79063),f178(f906(x79061,a894)))+~P1(f317(f317(f224(f906(x79061,a894)),x79062),f317(f73(f906(x79061,a894)),x79063))) % 169.26/169.08 [7955]E(f317(f317(f23(a897),f317(f317(f74(a897),f317(f155(a897),x79551)),x79552)),f317(f317(f154(a897),x79551),x79553)),f317(f155(a897),f317(f317(f149(a897,x79551),x79553),x79552)))+~P1(f317(f317(f225(a897),x79553),f317(f179(f898(a897)),x79551))) % 169.26/169.08 [8006]P1(f317(f317(f224(a897),x80061),x80062))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x80063),x80061)),f317(f317(f74(a897),x80063),x80062))) % 169.26/169.08 [8009]P1(f317(f317(f225(a897),x80091),x80092))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),x80093),x80091)),f317(f317(f74(a897),x80093),x80092))) % 169.26/169.08 [8010]P1(f317(f317(f225(a897),x80101),x80102))+~P1(f317(f317(f225(a897),f317(f317(f75(a897),x80103),x80101)),f317(f317(f75(a897),x80103),x80102))) % 169.26/169.08 [8011]P1(f317(f317(f225(a897),x80111),x80112))+~P1(f317(f317(f225(a897),f317(f317(f75(a897),x80111),x80113)),f317(f317(f75(a897),x80112),x80113))) % 169.26/169.08 [8040]P1(f317(f317(f225(a897),f2(a897)),x80401))+~P1(f317(f317(f225(a897),f317(f317(f75(a897),x80402),x80401)),f317(f317(f75(a897),x80403),x80401))) % 169.26/169.08 [8041]P1(f317(f317(f225(a897),f2(a897)),x80411))+~P1(f317(f317(f225(a897),f317(f317(f75(a897),x80411),x80412)),f317(f317(f75(a897),x80411),x80413))) % 169.26/169.08 [8114]E(f237(x81141,x81142,x81143),x81142)+~P1(f317(f317(f224(f906(x81141,a894)),x81143),f317(f317(f299(x81141),x81142),f178(f906(x81141,a894))))) % 169.26/169.08 [8164]~P1(f317(f127(x81641),x81643))+E(f317(f126(x81641,f317(f317(f8(a894,a894,x81641),a312),f317(a314,x81642))),x81643),f160(x81641,x81642,x81643)) % 169.26/169.08 [8189]E(f317(f317(f128(x81891),f317(f179(f898(x81891)),f167(x81891,x81892,x81893))),x81893),f103(x81891))+P1(f317(f317(f319(x81891),f697(x81893,x81892,x81891)),f317(f162(x81891),x81893))) % 169.26/169.08 [8193]E(f317(f317(f124(x81931),f317(f317(f165(x81931),x81932),x81933)),f317(f317(f141(x81931),f317(f317(f154(x81931),x81933),x81932)),f103(x81931))),f317(f317(f165(x81931),f317(a102,x81932)),x81933))+~P1(f317(f317(f225(a897),x81932),f317(f179(f898(x81931)),x81933))) % 169.26/169.08 [8260]E(f317(f126(x82601,f317(f317(f8(a894,a894,x82601),a312),f317(a314,x82602))),x82603),x82603)+P1(f317(f317(f319(x82601),x82602),f317(f162(x82601),x82603))) % 169.26/169.08 [8266]P1(f317(f317(f224(f906(f906(x82661,a894),a894)),f238(x82661,x82662)),f238(x82661,x82663)))+~P1(f317(f317(f224(f906(x82661,a894)),x82662),x82663)) % 169.26/169.08 [8305]~P1(f317(f127(x83051),x83053))+P1(f317(f127(x83051),f317(f317(f317(f173(f898(x83051),f898(x83051)),x83052),f157(x83051)),x83053))) % 169.26/169.08 [8311]~P1(f317(f317(f225(a897),x83112),x83113))+P1(f317(f317(f225(a897),f317(f317(f75(a897),f317(a102,x83111)),x83112)),f317(f317(f75(a897),f317(a102,x83111)),x83113))) % 169.26/169.08 [8331]P1(f317(f317(f224(f906(f906(x83311,a894),a894)),f317(f298(x83311),x83312)),f317(f298(x83311),x83313)))+~P1(f317(f317(f224(f906(x83311,a894)),x83312),x83313)) % 169.26/169.08 [8401]~E(f317(f300(x84011,x84012,x84013),f232(f906(x84011,a894))),f232(f906(x84012,a894)))+E(f317(f67(x84011,x84012,x84012,x84013),f85(x84011,x84012,f232(f906(x84011,a894)),x84013)),f25(x84012)) % 169.26/169.08 [8495]~P1(f317(f317(f224(f906(x84951,a894)),x84953),x84952))+P1(f317(f317(f224(f906(x84951,a894)),f317(f73(f906(x84951,a894)),x84952)),f317(f73(f906(x84951,a894)),x84953))) % 169.26/169.08 [8529]E(f317(f300(a897,a897,f317(f317(f7(a897,a897,a897),f23(a897)),x85291)),f317(f292(a897,x85292),x85293)),f317(f292(a897,f317(f317(f23(a897),x85292),x85291)),f317(f317(f23(a897),x85293),x85291)))+~P1(f317(f317(f225(a897),x85291),x85293)) % 169.26/169.08 [8555]~P83(x85551)+E(f317(f317(f74(x85551),x85552),f317(f132(x85551,x85551,f74(x85551),f2(x85551)),x85553)),f317(f132(x85551,x85551,f74(x85551),x85552),x85553)) % 169.26/169.08 [8631]~P89(x86311)+P1(f317(f317(f224(x86311),f317(f70(x86311),f317(f317(f23(x86311),x86312),x86313))),f317(f317(f74(x86311),f317(f70(x86311),x86312)),f317(f70(x86311),x86313)))) % 169.26/169.08 [8632]~P89(x86321)+P1(f317(f317(f224(x86321),f317(f70(x86321),f317(f317(f74(x86321),x86322),x86323))),f317(f317(f74(x86321),f317(f70(x86321),x86322)),f317(f70(x86321),x86323)))) % 169.26/169.08 [8643]E(f317(f317(f74(a1),f317(f317(f75(a1),x86431),f40(a1,f317(f317(f30(a1),x86432),x86431),x86433))),f40(a1,x86432,x86431)),f40(a1,x86432,f317(f317(f75(a1),x86431),x86433)))+~P1(f317(f317(f225(a1),f2(a1)),x86433)) % 169.26/169.08 [8649]E(f317(f317(f124(x86491),f317(f317(f165(x86491),x86492),x86493)),f317(f317(f141(x86491),f317(f131(x86491),f317(f317(f128(x86491),x86492),x86493))),f103(x86491))),f317(f317(f165(x86491),f317(a102,x86492)),x86493))+~P1(f317(f317(f225(a897),x86492),f317(f179(f898(x86491)),x86493))) % 169.26/169.08 [8669]E(f317(f258(x86691,f317(f317(f144(x86691,f905(a89,x86691)),f317(f242(a89,x86691),f72(a89))),x86692)),f317(a3,x86693)),f317(f317(f154(x86691),x86692),x86693))+~P1(f317(f317(f225(a897),x86693),f317(f179(f898(x86691)),x86692))) % 169.26/169.08 [8737]P1(f317(f317(f319(f905(x87371,x87371)),x87372),f317(f317(f279(x87371,x87371,x87371),x87373),f297(x87371,x87373))))+~P1(f317(f317(f319(f905(x87371,x87371)),x87372),x87373)) % 169.26/169.08 [8748]E(f317(f300(x87481,x87482,x87483),f232(f906(x87481,a894))),f232(f906(x87482,a894)))+~E(f317(f67(x87481,x87482,x87482,x87483),f85(x87481,x87482,f232(f906(x87481,a894)),x87483)),f25(x87482)) % 169.26/169.08 [8757]P1(f317(f317(f224(a897),x87571),x87572))+~P1(f317(f317(f224(a897),f317(f317(f75(a897),f317(a102,x87573)),x87571)),f317(f317(f75(a897),f317(a102,x87573)),x87572))) % 169.26/169.08 [8773]P1(f317(f317(f224(f906(x87731,a894)),x87732),x87733))+~P1(f317(f317(f224(f906(x87731,a894)),f317(f73(f906(x87731,a894)),x87733)),f317(f73(f906(x87731,a894)),x87732))) % 169.26/169.08 [8796]P1(f317(f127(x87961),x87962))+~P1(f317(f127(x87961),f317(f317(f317(f173(f898(x87961),f898(x87961)),x87963),f157(x87961)),x87962))) % 169.26/169.08 [8869]E(f317(f275(x88691,x88691,f297(x88691,x88692)),x88693),x88693)+~P1(f317(f317(f224(f906(x88691,a894)),f317(f275(x88691,x88691,x88692),x88693)),x88693)) % 169.26/169.08 [8917]~P4(x89171)+P16(x89171,f317(f126(x89171,f317(f317(f7(x89171,x89171,a894),a314),f317(x89172,x89173))),x89173)) % 169.26/169.08 [8924]~P1(f317(f317(f224(a897),x89241),x89242))+P1(f317(f317(f224(a897),x89241),f317(f132(a897,a897,f74(a897),x89242),x89243))) % 169.26/169.08 [9010]~P1(f317(f317(f319(f905(x90101,x90101)),x90102),f297(x90101,x90103)))+P1(f317(f317(f319(f905(x90101,x90101)),x90102),f317(f317(f173(f905(x90101,x90101),a894),f559(x90103,x90102,x90101)),x90103))) % 169.26/169.08 [9091]~P83(x90911)+E(f317(f317(f74(x90911),x90912),f317(f132(x90911,x90911,f317(f7(x90911,x90911,x90911),f74(x90911)),f2(x90911)),f317(f158(x90911),x90913))),f317(f132(x90911,x90911,f74(x90911),x90912),x90913)) % 169.26/169.08 [9209]~P28(x92092,x92091,x92093,f232(f906(x92092,a894)),f232(f906(x92091,a894)))+E(f85(x92091,x92092,f232(f906(x92091,a894)),f85(x92092,x92091,f232(f906(x92092,a894)),x92093)),x92093) % 169.26/169.08 [9364]P57(x93641,x93642,x93643)+P1(f317(f317(f319(f905(x93641,x93642)),f317(f317(f242(x93641,x93642),f561(x93643,x93642,x93641)),f558(x93643,x93642,x93641))),x93643)) % 169.26/169.08 [9365]P57(x93651,x93652,x93653)+P1(f317(f317(f319(f905(x93651,x93652)),f317(f317(f242(x93651,x93652),f561(x93653,x93652,x93651)),f557(x93653,x93652,x93651))),x93653)) % 169.26/169.08 [9437]~P1(f317(f317(f319(f905(x94371,x94371)),x94372),f317(f317(f279(x94371,x94371,x94371),x94373),f297(x94371,x94373))))+P1(f317(f317(f319(f905(x94371,x94371)),x94372),f317(f317(f173(f905(x94371,x94371),a894),f563(x94373,x94372,x94371)),x94373))) % 169.26/169.08 [9438]~P1(f317(x94381,f317(f317(f154(x94382),x94383),f317(f179(f898(x94382)),f167(x94382,x94381,x94383)))))+~P1(f317(f317(f225(a897),f317(f179(f898(x94382)),f167(x94382,x94381,x94383))),f317(f179(f898(x94382)),x94383))) % 169.26/169.08 [9529]~P1(f317(f317(f224(f906(x95291,a894)),x95292),x95293))+P1(f317(f317(f224(f906(x95291,a894)),f317(f317(f7(x95291,f906(x95291,a894),a894),f319(x95291)),x95292)),f317(f317(f7(x95291,f906(x95291,a894),a894),f319(x95291)),x95293))) % 169.26/169.08 [9591]~P1(f317(f317(f319(f905(f906(x95911,a894),f906(x95911,a894))),f317(f317(f242(f906(x95911,a894),f906(x95911,a894)),x95912),x95913)),f304(x95911)))+P1(f317(f317(f225(f906(x95911,a894)),x95912),x95913)) % 169.26/169.08 [9619]P58(x96191,x96192,x96193)+~P1(f317(f317(f319(f905(x96191,x96191)),f317(f317(f242(x96191,x96191),f538(x96193,x96192,x96191)),f537(x96193,x96192,x96191))),x96193)) % 169.26/169.08 [9620]P58(x96201,x96202,x96203)+~P1(f317(f317(f319(f905(x96201,x96201)),f317(f317(f242(x96201,x96201),f537(x96203,x96202,x96201)),f538(x96203,x96202,x96201))),x96203)) % 169.26/169.08 [9658]~P1(f317(f317(f319(f905(f898(x96581),f898(x96581))),f317(f317(f242(f898(x96581),f898(x96581)),x96582),x96582)),f137(x96581,x96583)))+P1(f317(f317(f319(f905(x96581,x96581)),f317(f317(f242(x96581,x96581),f637(x96582,x96583,x96581)),f637(x96582,x96583,x96581))),x96583)) % 169.26/169.08 [9708]P1(f317(f317(f224(f906(x97081,a894)),x97082),x97083))+~P1(f317(f317(f224(f906(x97081,a894)),f317(f317(f7(x97081,f906(x97081,a894),a894),f319(x97081)),x97082)),f317(f317(f7(x97081,f906(x97081,a894),a894),f319(x97081)),x97083))) % 169.26/169.08 [9789]E(f317(f317(f23(a897),f317(f317(f6(a897,a897),x97891),f317(f272(a897),x97892))),f317(f317(f6(a897,a897),x97893),f317(f272(a897),x97892))),f317(f317(f6(a897,a897),f317(f317(f18(a897,a897,a897),f317(f317(f8(a897,f906(a897,a897),a897),f23(a897)),x97891)),x97893)),f317(f272(a897),x97892)))+~P1(f317(f317(f224(a897),f317(x97893,f418(x97892,x97891,x97893))),f317(x97891,f418(x97892,x97891,x97893)))) % 169.26/169.08 [5713]~P78(x57131)+E(f317(f317(f23(x57131),f317(f317(f74(x57131),x57132),x57133)),x57133),x57132) % 169.26/169.08 [5714]~P78(x57141)+E(f317(f317(f74(x57141),f317(f317(f23(x57141),x57142),x57143)),x57143),x57142) % 169.26/169.08 [5948]~P78(x59481)+E(f317(f317(f74(x59481),x59482),f317(f317(f74(x59481),f317(f73(x59481),x59482)),x59483)),x59483) % 169.26/169.08 [6037]~P84(x60371)+E(f317(f317(f75(x60371),f317(f317(f234(x60371),x60372),x60373)),x60372),f317(f317(f234(x60371),x60372),f317(a102,x60373))) % 169.26/169.08 [6038]~P112(x60381)+E(f317(f317(f75(x60381),f317(f317(f234(x60381),x60382),x60383)),x60382),f317(f317(f234(x60381),x60382),f317(a102,x60383))) % 169.26/169.08 [6262]~P111(x62621)+E(f317(f70(x62621),f317(f317(f234(x62621),f317(f73(x62621),x62622)),x62623)),f317(f70(x62621),f317(f317(f234(x62621),x62622),x62623))) % 169.26/169.08 [6309]~P84(x63091)+E(f317(f317(f75(x63091),f317(f317(f234(x63091),x63092),x63093)),x63092),f317(f317(f75(x63091),x63092),f317(f317(f234(x63091),x63092),x63093))) % 169.26/169.08 [6369]E(f317(f317(f23(a89),f317(f317(f74(a89),x63691),x63692)),x63693),f264(x63691,x63692,x63693))+~P1(f317(f317(f225(a89),x63692),x63693)) % 169.26/169.08 [6394]~E(f317(f317(f128(x63941),x63943),x63942),f103(x63941))+P1(f317(f317(f224(a897),f317(f179(f898(x63941)),x63942)),x63943)) % 169.26/169.08 [6533]E(f317(f317(f75(a897),f317(f94(a897),x65331)),f317(f317(f75(a897),f317(f94(a897),x65332)),x65333)),f2(a897))+~P1(f317(f317(f225(a1),x65331),a77)) % 169.26/169.08 [6549]~P64(x65491)+E(f317(f317(f234(x65491),f317(f317(f281(x65491),f72(x65491)),x65492)),x65493),f317(f317(f281(x65491),f72(x65491)),f317(f317(f234(x65491),x65492),x65493))) % 169.26/169.08 [6631]E(f317(f317(f23(a897),f317(f317(f74(a897),x66311),x66312)),x66313),f317(f317(f23(a897),x66311),f317(f317(f23(a897),x66313),x66312)))+~P1(f317(f317(f224(a897),x66312),x66313)) % 169.26/169.08 [6633]E(f317(f317(f23(a897),f317(f317(f74(a897),x66331),x66332)),x66333),f317(f317(f74(a897),x66331),f317(f317(f23(a897),x66332),x66333)))+~P1(f317(f317(f224(a897),x66333),x66332)) % 169.26/169.08 [6672]~P4(x66721)+P1(f317(f317(f224(x66721),f317(f317(f228(x66721),x66722),x66723)),x66723)) % 169.26/169.08 [6673]~P4(x66731)+P1(f317(f317(f224(x66731),f317(f317(f228(x66731),x66732),x66733)),x66732)) % 169.26/169.08 [6674]~P101(x66741)+P1(f317(f317(f224(x66741),f317(f317(f92(x66741),x66742),x66743)),x66743)) % 169.26/169.08 [6675]~P106(x66751)+P1(f317(f317(f224(x66751),f317(f317(f92(x66751),x66752),x66753)),x66753)) % 169.26/169.08 [6676]~P101(x66761)+P1(f317(f317(f224(x66761),f317(f317(f92(x66761),x66762),x66763)),x66762)) % 169.26/169.08 [6677]~P106(x66771)+P1(f317(f317(f224(x66771),f317(f317(f92(x66771),x66772),x66773)),x66772)) % 169.26/169.08 [6691]E(f317(f317(f30(a1),f317(f317(f30(a1),x66911),x66912)),x66913),f317(f317(f30(a1),x66911),f317(f317(f75(a1),x66912),x66913)))+~P1(f317(f317(f225(a1),f2(a1)),x66913)) % 169.26/169.08 [6745]~P112(x67451)+E(f317(f317(f74(x67451),f317(f317(f75(x67451),x67452),x67453)),x67453),f317(f317(f75(x67451),f317(f317(f74(x67451),x67452),f72(x67451))),x67453)) % 169.26/169.08 [6746]~P95(x67461)+E(f317(f317(f75(x67461),f317(f73(x67461),f317(f94(x67461),x67462))),x67463),f317(f317(f75(x67461),f317(f94(x67461),f317(f73(a1),x67462))),x67463)) % 169.26/169.08 [6819]~P83(x68191)+E(f317(f155(x68191),f317(f317(f144(x68192,x68191),f317(f16(x68191,x68192),f2(x68191))),x68193)),f2(x68191)) % 169.26/169.08 [6837]E(f317(f317(f74(a897),f317(f94(a897),x68371)),f317(f317(f74(a897),f317(f94(a897),x68372)),x68373)),f317(f317(f74(a897),f317(f94(a897),x68372)),x68373))+~P1(f317(a183,f317(f94(a1),x68371))) % 169.26/169.08 [6852]~P8(x68521)+E(f32(x68521,f317(f317(f299(x68521),x68522),f317(f317(f299(x68521),x68523),f178(f906(x68521,a894))))),f317(f317(f92(x68521),x68522),x68523)) % 169.26/169.08 [6853]~P8(x68531)+E(f31(x68531,f317(f317(f299(x68531),x68532),f317(f317(f299(x68531),x68533),f178(f906(x68531,a894))))),f317(f317(f91(x68531),x68532),x68533)) % 169.26/169.08 [6877]E(f317(f317(f165(x68771),x68772),x68773),x68773)+~P1(f317(f317(f224(a897),f317(f179(f898(x68771)),x68773)),x68772)) % 169.26/169.08 [6889]E(f317(f317(f128(x68891),x68892),x68893),f103(x68891))+~P1(f317(f317(f224(a897),f317(f179(f898(x68891)),x68893)),x68892)) % 169.26/169.08 [6900]E(f317(f317(f74(a897),f317(f317(f23(a897),x69001),x69002)),x69003),f317(f317(f23(a897),f317(f317(f74(a897),x69001),x69003)),x69002))+~P1(f317(f317(f224(a897),x69002),x69001)) % 169.26/169.08 [6914]~P1(f317(f317(f225(a897),x69141),x69143))+P1(f317(f317(f225(a897),f317(f317(f23(a897),x69141),x69142)),x69143)) % 169.26/169.08 [6941]~P4(x69411)+E(f160(x69411,x69412,f317(f317(f138(x69411,x69411,f5(x69411)),x69412),x69413)),x69413) % 169.26/169.08 [7034]E(f317(f317(f23(a897),f317(f317(f74(a897),x70341),x70342)),f317(a102,x70343)),f317(f317(f23(a897),x70341),f317(a102,f317(f317(f23(a897),x70343),x70342))))+~P1(f317(f317(f224(a897),x70342),x70343)) % 169.26/169.08 [7035]~P111(x70351)+P1(f317(f317(f224(x70351),f2(x70351)),f317(f317(f234(x70351),f317(f70(x70351),x70352)),x70353))) % 169.26/169.08 [7126]~P1(f317(f28(x71261),x71262))+P1(f317(f28(x71261),f317(f317(f23(f906(x71261,a894)),x71262),x71263))) % 169.26/169.08 [7127]~P1(f317(f28(x71271),x71273))+P1(f317(f28(x71271),f317(f317(f92(f906(x71271,a894)),x71272),x71273))) % 169.26/169.08 [7128]~P1(f317(f28(x71281),x71282))+P1(f317(f28(x71281),f317(f317(f92(f906(x71281,a894)),x71282),x71283))) % 169.26/169.08 [7269]~P39(x72691,x72693)+P39(x72691,f317(f317(f92(f906(f905(x72691,x72691),a894)),x72692),x72693)) % 169.26/169.08 [7270]~P39(x72701,x72702)+P39(x72701,f317(f317(f92(f906(f905(x72701,x72701),a894)),x72702),x72703)) % 169.26/169.08 [7391]~P4(x73911)+E(f14(x73911,f317(f162(x73911),f317(f317(f141(x73911),x73912),x73913))),f317(f132(x73911,x73911,f228(x73911),x73912),x73913)) % 169.26/169.08 [7392]~P4(x73921)+E(f15(x73921,f317(f162(x73921),f317(f317(f141(x73921),x73922),x73923))),f317(f132(x73921,x73921,f223(x73921),x73922),x73923)) % 169.26/169.08 [7393]~P101(x73931)+E(f13(x73931,f317(f162(x73931),f317(f317(f141(x73931),x73932),x73933))),f317(f132(x73931,x73931,f91(x73931),x73932),x73933)) % 169.26/169.08 [7394]~P101(x73941)+E(f10(x73941,f317(f162(x73941),f317(f317(f141(x73941),x73942),x73943))),f317(f132(x73941,x73941,f92(x73941),x73942),x73943)) % 169.26/169.08 [7458]~P1(f317(f28(x74581),x74582))+P1(f317(f317(f224(a897),f317(f29(x74581),x74582)),f317(f29(x74581),f317(f317(f299(x74581),x74583),x74582)))) % 169.26/169.08 [7465]E(f317(f317(f91(f906(a897,a894)),f317(f292(a897,x74651),x74652)),f317(f292(a897,x74652),f317(f317(f74(a897),x74652),x74653))),f317(f292(a897,x74651),f317(f317(f74(a897),x74652),x74653)))+~P1(f317(f317(f224(a897),x74651),x74652)) % 169.26/169.08 [7474]P1(f317(f317(f224(a897),x74741),x74742))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x74743),x74741)),x74742)) % 169.26/169.08 [7475]P1(f317(f317(f224(a897),x74751),x74752))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x74751),x74753)),x74752)) % 169.26/169.08 [7476]P1(f317(f317(f225(a897),x74761),x74762))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),x74761),x74763)),x74762)) % 169.26/169.08 [7516]~P4(x75161)+E(f11(x75161,f228(x75161),f317(f162(x75161),f317(f317(f141(x75161),x75162),x75163))),f317(f132(x75161,x75161,f228(x75161),x75162),x75163)) % 169.26/169.08 [7517]~P4(x75171)+E(f12(x75171,f223(x75171),f317(f162(x75171),f317(f317(f141(x75171),x75172),x75173))),f317(f132(x75171,x75171,f223(x75171),x75172),x75173)) % 169.26/169.08 [7521]~E(x75212,f178(f906(f905(x75211,x75211),a894)))+P1(f317(f317(f224(f906(f905(x75211,x75211),a894)),x75212),x75213)) % 169.26/169.08 [7620]E(f317(f317(f91(f906(x76201,a894)),x76202),f317(f317(f23(f906(x76201,a894)),x76203),x76202)),x76203)+~P1(f317(f317(f224(f906(x76201,a894)),x76202),x76203)) % 169.26/169.08 [7623]~P1(f317(f317(f224(a897),x76231),f317(f317(f74(a897),x76233),x76232)))+P1(f317(f317(f224(a897),f317(f317(f23(a897),x76231),x76232)),x76233)) % 169.26/169.08 [7624]~P1(f317(f317(f225(a897),x76241),f317(f317(f23(a897),x76243),x76242)))+P1(f317(f317(f225(a897),f317(f317(f74(a897),x76241),x76242)),x76243)) % 169.26/169.08 [7681]E(x76811,f103(x76812))+E(f317(f131(x76812),f317(f317(f317(f173(f898(x76812),f898(x76812)),x76813),f157(x76812)),x76811)),f317(f317(f154(x76812),x76811),f40(a897,x76813,f317(f179(f898(x76812)),x76811)))) % 169.26/169.08 [7690]E(f317(f317(f299(x76901),x76902),f317(f317(f23(f906(x76901,a894)),x76903),f317(f317(f299(x76901),x76902),f178(f906(x76901,a894))))),x76903)+~P1(f317(f317(f319(x76901),x76902),x76903)) % 169.26/169.08 [7852]P1(f317(f317(f224(a897),x78521),f317(f317(f74(a897),x78522),x78523)))+~P1(f317(f317(f224(a897),f317(f317(f23(a897),x78521),x78523)),x78522)) % 169.26/169.08 [7853]P1(f317(f317(f225(a897),x78531),f317(f317(f23(a897),x78532),x78533)))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),x78531),x78533)),x78532)) % 169.26/169.08 [7879]P1(f317(f28(x78791),x78792))+~P1(f317(f28(x78791),f317(f317(f91(f906(x78791,a894)),x78793),x78792))) % 169.26/169.08 [7880]P1(f317(f28(x78801),x78802))+~P1(f317(f28(x78801),f317(f317(f91(f906(x78801,a894)),x78802),x78803))) % 169.26/169.08 [7954]~P48(x79541,x79543)+P1(f317(f317(f319(f905(x79541,x79541)),f317(f317(f242(x79541,x79541),x79542),x79542)),x79543)) % 169.26/169.08 [8087]E(f317(f317(f154(a897),f129(a897,f317(f292(a897,x80871),x80872))),x80873),f317(f317(f74(a897),x80871),x80873))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),x80871),x80873)),x80872)) % 169.26/169.08 [8153]E(f317(f317(f165(a897),x81531),f129(a897,f317(f292(a897,x81532),x81533))),f129(a897,f317(f292(a897,x81532),f317(f317(f74(a897),x81532),x81531))))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x81532),x81531)),x81533)) % 169.26/169.08 [8210]~P95(x82101)+E(f317(f317(f234(x82101),x82102),f317(f94(a897),f317(f317(f74(a1),x82103),x82103))),f317(f317(f80(x82101,x82101),f317(f317(f234(x82101),x82102),f317(f94(a897),x82103))),f317(f317(f18(x82101,x82101,x82101),f75(x82101)),f5(x82101)))) % 169.26/169.08 [8476]E(f317(f317(f124(x84761),f317(f317(f165(x84761),x84762),x84763)),f317(f317(f141(x84761),f317(f317(f154(x84761),x84763),x84762)),f317(f317(f128(x84761),f317(a102,x84762)),x84763))),x84763)+~P1(f317(f317(f225(a897),x84762),f317(f179(f898(x84761)),x84763))) % 169.26/169.08 [8483]P1(f317(f317(f224(f906(x84831,a894)),f305(x84831,x84832)),f305(x84831,x84833)))+~P1(f317(f317(f224(f906(x84831,f906(x84831,a894))),x84833),x84832)) % 169.26/169.08 [8484]~P58(x84841,x84842,x84843)+P58(x84841,x84842,f317(f317(f23(f906(f905(x84841,x84841),a894)),x84843),f297(x84841,f178(f906(f905(x84841,x84841),a894))))) % 169.26/169.08 [8503]P1(f317(f317(f224(f906(x85031,a894)),f306(x85031,x85032)),f306(x85031,x85033)))+~P1(f317(f317(f224(f906(f905(x85031,x85031),a894)),x85033),x85032)) % 169.26/169.08 [8510]~P126(x85101)+P1(f317(f317(f224(x85101),f2(x85101)),f317(f317(f74(x85101),f317(f317(f75(x85101),x85102),x85102)),f317(f317(f75(x85101),x85103),x85103)))) % 169.26/169.08 [8544]P1(f317(f317(f224(f906(x85441,a894)),f317(f271(x85441),x85442)),f317(f271(x85441),x85443)))+~P1(f317(f317(f224(f906(f905(x85441,x85441),a894)),x85442),x85443)) % 169.26/169.08 [8573]~P56(x85731,x85732)+~P1(f317(f317(f319(f905(x85731,x85731)),f317(f317(f242(x85731,x85731),x85733),x85733)),x85732)) % 169.26/169.08 [8575]~P39(x85751,x85752)+~P1(f317(f317(f319(f905(x85751,x85751)),f317(f317(f242(x85751,x85751),x85753),x85753)),x85752)) % 169.26/169.08 [8633]P1(f317(f317(f224(f906(x86331,a894)),f32(f906(x86331,a894),x86332)),f32(f906(x86331,a894),x86333)))+~P1(f317(f317(f224(f906(f906(x86331,a894),a894)),x86333),x86332)) % 169.26/169.08 [8634]P1(f317(f317(f224(f906(x86341,a894)),f31(f906(x86341,a894),x86342)),f31(f906(x86341,a894),x86343)))+~P1(f317(f317(f224(f906(f906(x86341,a894),a894)),x86342),x86343)) % 169.26/169.08 [8688]~P11(x86881,x86883,x86882)+P1(f317(f317(f224(f906(f905(x86881,x86881),a894)),x86882),f317(f317(f244(x86881,x86881),x86883),f317(f16(f906(x86881,a894),x86881),x86883)))) % 169.26/169.08 [8689]~P55(x86891,x86893,x86892)+P1(f317(f317(f224(f906(f905(x86891,x86891),a894)),x86892),f317(f317(f244(x86891,x86891),x86893),f317(f16(f906(x86891,a894),x86891),x86893)))) % 169.26/169.08 [8738]~P89(x87381)+P1(f317(f317(f224(x87381),f317(f317(f23(x87381),f317(f70(x87381),x87382)),f317(f70(x87381),x87383))),f317(f70(x87381),f317(f317(f23(x87381),x87383),x87382)))) % 169.26/169.08 [8739]~P89(x87391)+P1(f317(f317(f224(x87391),f317(f317(f23(x87391),f317(f70(x87391),x87392)),f317(f70(x87391),x87393))),f317(f70(x87391),f317(f317(f23(x87391),x87392),x87393)))) % 169.26/169.08 [8771]P1(f317(f317(f224(f906(f905(x87711,x87711),a894)),f297(x87711,x87712)),f297(x87711,x87713)))+~P1(f317(f317(f224(f906(f905(x87711,x87711),a894)),x87712),x87713)) % 169.26/169.08 [8882]~P27(x88822,x88821,x88823,f232(f906(x88822,a894)))+E(f317(f67(x88821,x88822,x88822,f85(x88822,x88821,f232(f906(x88822,a894)),x88823)),x88823),f25(x88822)) % 169.26/169.08 [8942]P58(x89421,x89422,x89423)+~P58(x89421,x89422,f317(f317(f23(f906(f905(x89421,x89421),a894)),x89423),f297(x89421,f178(f906(f905(x89421,x89421),a894))))) % 169.26/169.08 [8962]P1(f317(f317(f224(f906(f905(f898(x89621),f898(x89621)),a894)),f147(x89621,x89622)),f147(x89621,x89623)))+~P1(f317(f317(f224(f906(f905(x89621,x89621),a894)),x89622),x89623)) % 169.26/169.08 [8963]P1(f317(f317(f224(f906(f905(f898(x89631),f898(x89631)),a894)),f148(x89631,x89632)),f148(x89631,x89633)))+~P1(f317(f317(f224(f906(f905(x89631,x89631),a894)),x89632),x89633)) % 169.26/169.08 [8984]~P55(x89841,x89843,x89842)+P1(f317(f317(f224(f906(f905(x89841,x89841),a894)),x89842),f317(f317(f279(x89841,x89841,x89841),f317(f276(x89841,x89841),x89842)),x89842))) % 169.26/169.08 [9036]~P1(f317(f127(x90361),x90362))+E(f317(f126(x90361,f317(f317(f7(x90361,f906(x90361,a894),a894),f319(x90361)),f317(f162(x90361),f166(x90361,x90362,x90363)))),x90362),f166(x90361,x90362,x90363)) % 169.26/169.08 [9089]E(x90891,x90892)+~P1(f317(f317(f319(f905(x90893,x90893)),f317(f317(f242(x90893,x90893),x90891),x90892)),f297(x90893,f178(f906(f905(x90893,x90893),a894))))) % 169.26/169.08 [9172]P1(f317(f317(f319(x91721),x91722),f306(x91721,x91723)))+P1(f317(f317(f319(f905(x91721,x91721)),f317(f317(f242(x91721,x91721),f462(x91723,x91722,x91721)),x91722)),x91723)) % 169.26/169.08 [9173]P1(f317(f317(f319(x91731),x91732),f306(x91731,x91733)))+P1(f317(f317(f319(f905(x91731,x91731)),f317(f317(f242(x91731,x91731),f541(x91733,x91732,x91731)),x91732)),x91733)) % 169.26/169.08 [9174]P1(f317(f317(f319(x91741),x91742),f306(x91741,x91743)))+P1(f317(f317(f319(f905(x91741,x91741)),f317(f317(f242(x91741,x91741),f543(x91743,x91742,x91741)),x91742)),x91743)) % 169.26/169.08 [9210]P27(x92101,x92102,x92103,f232(f906(x92101,a894)))+~E(f317(f67(x92102,x92101,x92101,f85(x92101,x92102,f232(f906(x92101,a894)),x92103)),x92103),f25(x92101)) % 169.26/169.08 [9263]~P1(f317(f317(f319(f898(x92631)),x92633),f151(x92631,x92632)))+P1(f317(f150(x92631,f317(f317(f7(x92631,f906(x92631,a894),a894),f319(x92631)),x92632)),x92633)) % 169.26/169.08 [9286]P1(f317(x92863,x92862))+E(f317(f252(x92861),f317(f317(f18(x92861,a894,a894),f317(f317(f8(a894,f906(a894,a894),x92861),a315),f317(a314,x92862))),x92863)),f178(f906(x92861,a894))) % 169.26/169.08 [9303]~P89(x93031)+P1(f317(f317(f224(x93031),f317(f70(x93031),f317(f317(f23(x93031),f317(f70(x93031),x93032)),f317(f70(x93031),x93033)))),f317(f70(x93031),f317(f317(f23(x93031),x93032),x93033)))) % 169.26/169.08 [9317]~P1(f317(x93173,x93172))+E(f317(f252(x93171),f317(f317(f18(x93171,a894,a894),f317(f317(f8(a894,f906(a894,a894),x93171),a315),f317(a314,x93172))),x93173)),f317(f317(f299(x93171),x93172),f178(f906(x93171,a894)))) % 169.26/169.08 [9326]~P1(f317(f317(f319(f906(x93261,a894)),x93263),f317(f298(x93261),x93262)))+P1(f317(f238(x93261,f317(f317(f7(x93261,f906(x93261,a894),a894),f319(x93261)),x93262)),x93263)) % 169.26/169.08 [9363]P39(x93631,x93632)+P1(f317(f317(f319(f905(x93631,x93631)),f317(f317(f242(x93631,x93631),f317(f504(x93632,x93631),f317(a102,x93633))),f317(f504(x93632,x93631),x93633))),x93632)) % 169.26/169.08 [9506]P1(f317(f317(f319(f898(x95061)),x95062),f151(x95061,x95063)))+~P1(f317(f150(x95061,f317(f317(f7(x95061,f906(x95061,a894),a894),f319(x95061)),x95063)),x95062)) % 169.26/169.08 [9521]P1(f317(f317(f319(f906(x95211,a894)),x95212),f317(f298(x95211),x95213)))+~P1(f317(f238(x95211,f317(f317(f7(x95211,f906(x95211,a894),a894),f319(x95211)),x95213)),x95212)) % 169.26/169.08 [9586]P1(f317(f317(f319(x95861),f317(f258(x95861,x95862),x95863)),f317(f162(x95861),f317(f317(f144(f905(a89,x95861),x95861),f246(a89,x95861)),x95862))))+~P1(f317(f317(f225(a89),x95863),f317(f155(a89),f317(f317(f144(f905(a89,x95861),a89),f241(a89,x95861)),x95862)))) % 169.26/169.08 [9636]P1(f317(f317(f224(f906(f905(f898(x96361),f898(x96361)),a894)),f148(x96361,x96362)),f317(f317(f244(f898(x96361),f898(x96361)),f151(x96361,x96363)),f317(f16(f906(f898(x96361),a894),f898(x96361)),f151(x96361,x96363)))))+~P1(f317(f317(f224(f906(f905(x96361,x96361),a894)),x96362),f317(f317(f244(x96361,x96361),x96363),f317(f16(f906(x96361,a894),x96361),x96363)))) % 169.26/169.08 [9661]P1(f317(f317(f319(x96611),f317(f241(x96611,f905(a89,a89)),f317(f256(x96611,x96612),x96613))),f317(f162(x96611),f317(f317(f144(f905(a89,x96611),x96611),f246(a89,x96611)),x96612))))+~P1(f317(f317(f225(a89),f2(a89)),f317(f155(a89),f317(f317(f144(f905(a89,x96611),a89),f241(a89,x96611)),x96612)))) % 169.26/169.08 [9676]~P1(f317(f317(f224(f906(f905(x96761,x96761),a894)),x96762),f317(f317(f244(x96761,x96761),x96763),f317(f16(f906(x96761,a894),x96761),x96763))))+P1(f317(f317(f224(f906(f905(x96761,x96761),a894)),f317(f317(f279(x96761,x96761,x96761),x96762),f297(x96761,x96762))),f317(f317(f244(x96761,x96761),x96763),f317(f16(f906(x96761,a894),x96761),x96763)))) % 169.26/169.08 [9975]~P39(x99751,x99752)+~P1(f317(f317(f319(f905(x99751,x99751)),f317(f317(f242(x99751,x99751),f317(x99753,f317(a102,f505(x99752,x99751,x99753)))),f317(x99753,f505(x99752,x99751,x99753)))),x99752)) % 169.26/169.08 [9976]~P39(x99761,x99762)+~P1(f317(f317(f319(f905(x99761,x99761)),f317(f317(f242(x99761,x99761),f317(x99763,f317(a102,f552(x99763,x99762,x99761)))),f317(x99763,f552(x99763,x99762,x99761)))),x99762)) % 169.26/169.08 [10231]P1(f317(f317(f224(f906(f905(f906(x102311,a894),f906(x102311,a894)),a894)),f317(f317(f279(f906(x102311,a894),f906(x102311,a894),f906(x102311,a894)),f310(x102311,x102312)),f317(f317(f91(f906(f905(f906(x102311,a894),f906(x102311,a894)),a894)),f310(x102311,x102313)),f317(f317(f299(f905(f906(x102311,a894),f906(x102311,a894))),f317(f317(f242(f906(x102311,a894),f906(x102311,a894)),f178(f906(x102311,a894))),f178(f906(x102311,a894)))),f178(f906(f905(f906(x102311,a894),f906(x102311,a894)),a894)))))),f310(x102311,x102312)))+~P1(f317(f317(f224(f906(f905(x102311,x102311),a894)),f317(f317(f279(x102311,x102311,x102311),x102312),x102313)),x102312)) % 169.26/169.08 [10232]P1(f317(f317(f224(f906(f905(f906(x102321,a894),f906(x102321,a894)),a894)),f317(f317(f279(f906(x102321,a894),f906(x102321,a894),f906(x102321,a894)),f308(x102321,x102322)),f317(f317(f91(f906(f905(f906(x102321,a894),f906(x102321,a894)),a894)),f308(x102321,x102323)),f317(f317(f299(f905(f906(x102321,a894),f906(x102321,a894))),f317(f317(f242(f906(x102321,a894),f906(x102321,a894)),f178(f906(x102321,a894))),f178(f906(x102321,a894)))),f178(f906(f905(f906(x102321,a894),f906(x102321,a894)),a894)))))),f308(x102321,x102322)))+~P1(f317(f317(f224(f906(f905(x102321,x102321),a894)),f317(f317(f279(x102321,x102321,x102321),x102322),x102323)),x102322)) % 169.26/169.08 [7390]~P1(f317(f317(f224(a897),x73902),x73901))+E(f317(f317(f23(a897),f317(a102,f317(f317(f23(a897),x73901),x73902))),x73903),f317(f317(f23(a897),f317(a102,x73901)),f317(f317(f74(a897),x73902),x73903))) % 169.26/169.08 [7430]~P6(x74301)+E(f317(f317(f74(x74301),f40(x74301,x74302,x74303)),f317(f317(f75(x74301),f317(f317(f30(x74301),x74302),x74303)),x74303)),x74302) % 169.26/169.08 [7628]E(f317(f317(f75(a897),f317(f94(a897),x76281)),f317(f317(f75(a897),f317(f94(a897),x76282)),x76283)),f317(f317(f75(a897),f317(f94(a897),f317(f317(f75(a1),x76281),x76282))),x76283))+P1(f317(f317(f225(a1),x76281),a77)) % 169.26/169.08 [8096]~P1(f317(f317(f224(a897),x80963),x80962))+P1(f317(f317(f224(a897),x80961),f317(f317(f23(a897),f317(f317(f74(a897),x80962),x80961)),x80963))) % 169.26/169.08 [8296]~P1(f317(f317(f224(a897),x82961),x82962))+E(f317(f317(f124(a897),f129(a897,f317(f292(a897,x82961),x82962))),f129(a897,f317(f292(a897,x82962),f317(f317(f74(a897),x82962),x82963)))),f129(a897,f317(f292(a897,x82961),f317(f317(f74(a897),x82962),x82963)))) % 169.26/169.08 [8552]~P1(f317(f28(x85521),x85522))+E(f317(a102,f317(f29(x85521),f317(f317(f23(f906(x85521,a894)),x85522),f317(f317(f299(x85521),x85523),f178(f906(x85521,a894)))))),f317(f29(x85521),f317(f317(f299(x85521),x85523),x85522))) % 169.26/169.08 [8591]~P1(f317(f28(x85911),x85912))+E(f317(f317(f74(a897),f72(a897)),f317(f29(x85911),f317(f317(f23(f906(x85911,a894)),x85912),f317(f317(f299(x85911),x85913),f178(f906(x85911,a894)))))),f317(f29(x85911),f317(f317(f299(x85911),x85913),x85912))) % 169.26/169.08 [8780]E(f317(f317(f23(a897),f317(f29(x87801),x87802)),f317(f29(x87801),f317(f317(f92(f906(x87801,a894)),x87802),x87803))),f317(f29(x87801),f317(f317(f23(f906(x87801,a894)),x87802),x87803)))+~P1(f317(f28(x87801),f317(f317(f92(f906(x87801,a894)),x87802),x87803))) % 169.26/169.08 [9031]~P9(f317(x90312,f879(x90312,x90313,x90311)))+E(f317(f90(a1),f317(f317(f9(x90311,a897),f317(f317(f8(a1,a897,x90311),a95),x90312)),x90313)),f317(f317(f9(x90311,a1),x90312),x90313)) % 169.26/169.08 [9032]~P9(f317(x90322,f414(x90322,x90323,x90321)))+E(f317(f90(a1),f317(f317(f6(x90321,a897),f317(f317(f8(a1,a897,x90321),a95),x90322)),x90323)),f317(f317(f6(x90321,a1),x90322),x90323)) % 169.26/169.08 [9072]~P1(f317(f28(x90721),x90723))+P1(f317(f317(f224(a897),f317(f317(f23(a897),f317(f29(x90721),x90722)),f317(f29(x90721),x90723))),f317(f29(x90721),f317(f317(f23(f906(x90721,a894)),x90722),x90723)))) % 169.26/169.08 [9099]P1(f317(f317(f319(x90991),f879(x90992,x90993,x90991)),x90993))+E(f317(f90(a1),f317(f317(f9(x90991,a897),f317(f317(f8(a1,a897,x90991),a95),x90992)),x90993)),f317(f317(f9(x90991,a1),x90992),x90993)) % 169.26/169.08 [9100]P1(f317(f317(f319(x91001),f414(x91002,x91003,x91001)),x91003))+E(f317(f90(a1),f317(f317(f6(x91001,a897),f317(f317(f8(a1,a897,x91001),a95),x91002)),x91003)),f317(f317(f6(x91001,a1),x91002),x91003)) % 169.26/169.08 [9164]E(f79(x91641,f317(f317(f7(x91641,f906(x91641,a894),a894),f319(x91641)),f317(f317(f23(f906(x91641,a894)),x91642),f317(f317(f299(x91641),x91643),f178(f906(x91641,a894)))))),f237(x91641,x91643,x91642))+P1(f317(f317(f224(f906(x91641,a894)),x91642),f317(f317(f299(x91641),x91643),f178(f906(x91641,a894))))) % 169.26/169.08 [9522]E(f317(f317(f144(f898(x95221),x95221),f317(f317(f7(f898(x95221),a897,x95221),f154(x95221)),x95222)),f317(f126(f898(x95221),f317(f317(f8(a897,a894,f898(x95221)),f317(f225(a897),x95222)),f179(f898(x95221)))),x95223)),f317(f317(f154(f898(x95221)),f169(x95221,x95223)),x95222))+~P1(f317(f317(f225(a897),x95222),f317(f179(f898(f898(x95221))),f169(x95221,x95223)))) % 169.26/169.08 [9609]E(f317(f126(x96091,x96092),x96093),f167(x96091,x96092,x96093))+P1(f317(f317(f319(x96091),f700(x96093,x96092,x96091)),f317(f162(x96091),f317(f317(f128(x96091),f317(f179(f898(x96091)),f167(x96091,x96092,x96093))),x96093)))) % 169.26/169.08 [9749]E(f317(f317(f128(x97491),f317(f179(f898(x97491)),f167(x97491,x97492,x97493))),x97493),f103(x97491))+~P1(f317(x97492,f317(f131(x97491),f317(f317(f128(x97491),f317(f179(f898(x97491)),f167(x97491,x97492,x97493))),x97493)))) % 169.26/169.08 [9841]~P1(f317(f317(f319(f905(x98411,x98411)),x98412),f297(x98411,x98413)))+P1(f317(f317(f319(f905(x98411,x98411)),x98412),f317(f317(f34(a897,f906(f905(x98411,x98411),a894)),f232(f906(a897,a894))),f317(f317(f7(a897,f906(f905(x98411,x98411),a894),f906(f905(x98411,x98411),a894)),f173(f905(x98411,x98411),a894)),x98413)))) % 169.26/169.08 [9902]~P1(f317(f317(f224(f906(x99021,a894)),f317(f317(f34(a897,f906(x99021,a894)),f317(f292(a897,f2(a897)),f457(x99023,x99022,x99021))),x99022)),x99023))+P1(f317(f317(f224(f906(x99021,a894)),f317(f317(f34(a897,f906(x99021,a894)),f232(f906(a897,a894))),x99022)),x99023)) % 169.26/169.08 [9948]~P1(f317(f317(f225(a1),f2(a1)),x99483))+P1(f317(f317(f225(a1),x99481),f317(f317(f74(a1),x99482),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f23(a1),x99482),x99481))),f72(a1))),x99483)))) % 169.26/169.08 [9962]~P39(x99621,f317(f317(f91(f906(f905(x99621,x99621),a894)),x99622),x99623))+P39(x99621,f317(f317(f91(f906(f905(x99621,x99621),a894)),f317(f317(f91(f906(f905(x99621,x99621),a894)),f317(f317(f279(x99621,x99621,x99621),x99622),x99622)),f317(f317(f279(x99621,x99621,x99621),x99623),x99622))),x99623)) % 169.26/169.08 [10037]P39(x100371,f317(f317(f91(f906(f905(x100371,x100371),a894)),x100372),x100373))+~P39(x100371,f317(f317(f91(f906(f905(x100371,x100371),a894)),f317(f317(f91(f906(f905(x100371,x100371),a894)),f317(f317(f279(x100371,x100371,x100371),x100372),x100372)),f317(f317(f279(x100371,x100371,x100371),x100373),x100372))),x100373)) % 169.26/169.08 [9613]~P128(x96131)+E(f317(f93(x96131),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x96132),x96133)),f178(f906(f905(a897,a897),a894)))))),f317(f317(f23(x96131),f317(f90(x96131),x96132)),f317(f90(x96131),x96133))) % 169.26/169.08 [9696]P1(f317(x96963,x96962))+E(f317(f252(x96961),f317(f317(f18(x96961,a894,a894),f317(f317(f8(a894,f906(a894,a894),x96961),a315),f317(f317(f7(x96961,x96961,a894),a314),x96962))),x96963)),f178(f906(x96961,a894))) % 169.26/169.08 [9698]~P1(f317(x96983,x96982))+E(f317(f252(x96981),f317(f317(f18(x96981,a894,a894),f317(f317(f8(a894,f906(a894,a894),x96981),a315),f317(f317(f7(x96981,x96981,a894),a314),x96982))),x96983)),f317(f317(f299(x96981),x96982),f178(f906(x96981,a894)))) % 169.26/169.08 [9928]E(x99281,x99282)+P1(f317(f317(f233(x99283,x99283,f317(f317(f8(f906(x99283,a894),f906(x99283,a894),x99283),f317(f8(a894,a894,x99283),a312)),a314)),x99281),x99282)) % 169.26/169.08 [10017]~E(x100171,x100172)+~P1(f317(f317(f233(x100173,x100173,f317(f317(f8(f906(x100173,a894),f906(x100173,a894),x100173),f317(f8(a894,a894,x100173),a312)),a314)),x100171),x100172)) % 169.26/169.08 [10029]~P1(f317(f28(x100291),x100293))+E(f317(f317(f58(x100291,f906(x100291,a894),f317(f317(f8(f906(x100291,a894),f906(f906(x100291,a894),f906(x100291,a894)),x100291),f317(f7(f906(x100291,a894),f906(x100291,a894),f906(x100291,a894)),f23(f906(x100291,a894)))),f317(f317(f7(x100291,f906(x100291,a894),f906(x100291,a894)),f299(x100291)),f178(f906(x100291,a894))))),x100292),x100293),f317(f317(f23(f906(x100291,a894)),x100292),x100293)) % 169.26/169.08 [10059]~P1(f317(f317(f225(a1),f2(a1)),x100593))+P1(f317(f317(f225(a1),f317(f317(f23(a1),x100591),f317(f317(f75(a1),f317(f317(f74(a1),f317(f70(a1),f317(f317(f23(a1),x100591),x100592))),f72(a1))),x100593))),x100592)) % 169.26/169.08 [10321]~P1(f317(f317(f319(x103211),x103213),f306(x103211,x103212)))+P1(f317(f305(x103211,f317(f317(f7(x103211,f906(f905(x103211,x103211),a894),f906(x103211,a894)),f317(f317(f8(f906(x103211,f906(f906(f905(x103211,x103211),a894),a894)),f906(f906(f905(x103211,x103211),a894),f906(x103211,a894)),x103211),f7(x103211,f906(f905(x103211,x103211),a894),a894)),f317(f317(f8(f906(x103211,f905(x103211,x103211)),f906(x103211,f906(f906(f905(x103211,x103211),a894),a894)),x103211),f317(f8(f905(x103211,x103211),f906(f906(f905(x103211,x103211),a894),a894),x103211),f319(f905(x103211,x103211)))),f242(x103211,x103211)))),x103212)),x103213)) % 169.26/169.08 [10334]P1(f317(f317(f319(x103341),x103342),f306(x103341,x103343)))+~P1(f317(f305(x103341,f317(f317(f7(x103341,f906(f905(x103341,x103341),a894),f906(x103341,a894)),f317(f317(f8(f906(x103341,f906(f906(f905(x103341,x103341),a894),a894)),f906(f906(f905(x103341,x103341),a894),f906(x103341,a894)),x103341),f7(x103341,f906(f905(x103341,x103341),a894),a894)),f317(f317(f8(f906(x103341,f905(x103341,x103341)),f906(x103341,f906(f906(f905(x103341,x103341),a894),a894)),x103341),f317(f8(f905(x103341,x103341),f906(f906(f905(x103341,x103341),a894),a894),x103341),f319(f905(x103341,x103341)))),f242(x103341,x103341)))),x103343)),x103342)) % 169.26/169.08 [9900]~P1(f317(f28(x99001),f317(f252(x99001),x99003)))+P1(f317(f28(x99001),f317(f252(x99001),f317(f317(f18(x99001,a894,a894),f317(f317(f8(a894,f906(a894,a894),x99001),a315),x99002)),x99003)))) % 169.26/169.08 [9901]~P1(f317(f28(x99011),f317(f252(x99011),x99012)))+P1(f317(f28(x99011),f317(f252(x99011),f317(f317(f18(x99011,a894,a894),f317(f317(f8(a894,f906(a894,a894),x99011),a315),x99012)),x99013)))) % 169.26/169.08 [9996]P1(f317(f28(x99961),f317(f252(x99961),x99962)))+~P1(f317(f28(x99961),f317(f252(x99961),f317(f317(f18(x99961,a894,a894),f317(f317(f8(a894,f906(a894,a894),x99961),a316),x99963)),x99962)))) % 169.26/169.08 [9997]P1(f317(f28(x99971),f317(f252(x99971),x99972)))+~P1(f317(f28(x99971),f317(f252(x99971),f317(f317(f18(x99971,a894,a894),f317(f317(f8(a894,f906(a894,a894),x99971),a316),x99972)),x99973)))) % 169.26/169.08 [10300]~P1(f317(f28(x103001),x103002))+P1(f317(f28(f898(x103001)),f317(f252(f898(x103001)),f317(f317(f18(f898(x103001),a894,a894),f317(f317(f8(a894,f906(a894,a894),f898(x103001)),a315),f317(f317(f7(f898(x103001),f906(x103001,a894),a894),f317(f317(f8(f906(x103001,a894),f906(f906(x103001,a894),a894),f898(x103001)),f224(f906(x103001,a894))),f162(x103001))),x103002))),f317(f317(f7(f898(x103001),a897,a894),f317(f317(f8(a897,f906(a897,a894),f898(x103001)),a314),f179(f898(x103001)))),x103003))))) % 169.26/169.08 [10301]~P1(f317(f28(x103011),x103012))+P1(f317(f28(f898(x103011)),f317(f252(f898(x103011)),f317(f317(f18(f898(x103011),a894,a894),f317(f317(f8(a894,f906(a894,a894),f898(x103011)),a315),f317(f317(f7(f898(x103011),f906(x103011,a894),a894),f317(f317(f8(f906(x103011,a894),f906(f906(x103011,a894),a894),f898(x103011)),f224(f906(x103011,a894))),f162(x103011))),x103012))),f317(f317(f7(f898(x103011),a897,a894),f317(f317(f8(a897,f906(a897,a894),f898(x103011)),f224(a897)),f179(f898(x103011)))),x103013))))) % 169.26/169.08 [10010]~P112(x100101)+E(f317(f317(f234(x100101),x100102),f317(f317(f75(a897),f317(f94(a897),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)))),x100103)),f317(f317(f75(x100101),f317(f317(f234(x100101),x100102),x100103)),f317(f317(f234(x100101),x100102),x100103))) % 169.26/169.08 [10040]~P84(x100401)+E(f317(f317(f234(x100401),f317(f317(f234(x100401),x100402),x100403)),f317(f94(a897),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(x100401),x100402),f317(f317(f75(a897),f317(f94(a897),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)))),x100403))) % 169.26/169.08 [10096]~P128(x100961)+E(f317(f317(f234(x100961),f317(f73(x100961),x100962)),f317(f317(f75(a897),f317(f94(a897),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)))),x100963)),f317(f317(f234(x100961),x100962),f317(f317(f75(a897),f317(f94(a897),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)))),x100963))) % 169.26/169.08 [10239]~P111(x102391)+P1(f317(f317(f224(x102391),f2(x102391)),f317(f317(f74(x102391),f317(f317(f234(x102391),x102392),f317(f94(a897),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(x102391),x102393),f317(f94(a897),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))))))) % 169.26/169.08 [10106]~P112(x101061)+E(f317(f317(f234(x101061),x101062),f317(a102,f317(f317(f75(a897),f317(f94(a897),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)))),x101063))),f317(f317(f75(x101061),x101062),f317(f317(f75(x101061),f317(f317(f234(x101061),x101062),x101063)),f317(f317(f234(x101061),x101062),x101063)))) % 169.26/169.08 [10156]~P84(x101561)+E(f317(f317(f75(x101561),x101562),f317(f317(f234(x101561),f317(f317(f234(x101561),x101562),x101563)),f317(f94(a897),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(x101561),x101562),f317(a102,f317(f317(f75(a897),f317(f94(a897),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)))),x101563)))) % 169.26/169.08 [10196]~P111(x101961)+P1(f317(f317(f224(x101961),f2(x101961)),f317(f317(f234(x101961),x101962),f317(f317(f75(a897),f317(f94(a897),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)))),x101963)))) % 169.26/169.08 [10276]~P95(x102761)+E(f317(f317(f23(x102761),f317(f317(f74(x102761),f317(f317(f234(x102761),x102762),f317(f94(a897),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(x102761),x102763),f317(f94(a897),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(x102761),f317(f317(f75(x102761),f317(f94(x102761),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)))),x102762)),x102763)),f317(f317(f234(x102761),f317(f317(f23(x102761),x102762),x102763)),f317(f94(a897),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))))) % 169.26/169.08 [10277]~P95(x102771)+E(f317(f317(f74(x102771),f317(f317(f74(x102771),f317(f317(f234(x102771),x102772),f317(f94(a897),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(x102771),x102773),f317(f94(a897),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(x102771),f317(f317(f75(x102771),f317(f94(x102771),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)))),x102772)),x102773)),f317(f317(f234(x102771),f317(f317(f74(x102771),x102772),x102773)),f317(f94(a897),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))))) % 169.26/169.08 [7896]P27(x78961,x78962,x78963,x78964)+~E(f878(x78964,x78963,x78962,x78961),f886(x78964,x78963,x78962,x78961)) % 169.26/169.08 [8187]P36(x81871,x81872,x81873,x81874,f103(x81872))+~E(x81874,f103(x81871)) % 169.26/169.08 [8188]P36(x81881,x81882,x81883,f103(x81881),x81884)+~E(x81884,f103(x81882)) % 169.26/169.08 [8728]~P36(x87282,x87283,x87284,x87281,f103(x87283))+E(x87281,f103(x87282)) % 169.26/169.08 [8729]~P36(x87293,x87292,x87294,f103(x87293),x87291)+E(x87291,f103(x87292)) % 169.26/169.08 [5132]~P20(x51323,x51321,x51324)+E(f317(f317(x51321,x51322),x51322),x51322) % 169.26/169.08 [5378]P1(f317(x53782,x53784))+E(f317(f126(x53781,x53782),f159(x53781,x53783,x53784)),f103(x53781)) % 169.26/169.08 [5416]~E(x54164,f178(f906(x54161,a894)))+E(f317(f300(x54161,x54162,x54163),x54164),f178(f906(x54162,a894))) % 169.26/169.08 [5662]~P1(f317(x56622,x56624))+E(f317(f126(x56621,x56622),f159(x56621,x56623,x56624)),f159(x56621,x56623,x56624)) % 169.26/169.08 [5692]~E(f317(f300(x56922,x56923,x56924),x56921),f178(f906(x56923,a894)))+E(x56921,f178(f906(x56922,a894))) % 169.26/169.08 [5879]~P10(x58791,x58793)+E(f261(x58791,x58792,f260(x58791,x58793),x58794),x58794) % 169.26/169.08 [5995]~P4(x59952)+E(f317(f317(f138(x59951,x59952,x59953),x59954),f103(x59951)),f317(f317(f141(x59951),x59954),f103(x59951))) % 169.26/169.08 [6363]~E(x63631,f178(f906(x63632,a894)))+~P1(f317(f56(x63632,x63633,x63631),x63634)) % 169.26/169.08 [6386]~P61(x63861,x63863,x63864,x63862)+P1(f317(f28(x63861),x63862)) % 169.26/169.08 [6388]~P61(x63881,x63883,x63882,x63884)+P1(f317(f28(x63881),x63882)) % 169.26/169.08 [6396]~P61(x63962,x63963,x63964,x63961)+~E(x63961,f178(f906(x63962,a894))) % 169.26/169.08 [6430]~P109(x64301)+E(f317(f317(f92(f906(x64301,a894)),f317(f292(x64301,x64302),x64303)),f293(x64301,x64303,x64304)),f178(f906(x64301,a894))) % 169.26/169.08 [6457]~P1(f317(f317(x64573,x64574),x64572))+P1(f317(f317(f319(x64571),x64572),f284(x64571,x64573,x64574))) % 169.26/169.08 [6458]~P1(f317(f317(x64583,x64584),x64582))+P1(f317(f317(f319(x64581),x64582),f285(x64581,x64583,x64584))) % 169.26/169.08 [6459]~P1(f317(f317(x64593,x64592),x64594))+P1(f317(f317(f319(x64591),x64592),f286(x64591,x64593,x64594))) % 169.26/169.08 [6460]~P1(f317(f317(x64603,x64602),x64604))+P1(f317(f317(f319(x64601),x64602),f288(x64601,x64603,x64604))) % 169.26/169.08 [6606]~P109(x66061)+E(f317(f317(f92(f906(x66061,a894)),f296(x66061,x66062,x66063)),f293(x66061,x66063,x66064)),f178(f906(x66061,a894))) % 169.26/169.08 [6607]~P109(x66071)+E(f317(f317(f92(f906(x66071,a894)),f295(x66071,x66072,x66073)),f296(x66071,x66073,x66074)),f178(f906(x66071,a894))) % 169.26/169.08 [6608]~P109(x66081)+E(f317(f317(f92(f906(x66081,a894)),f295(x66081,x66082,x66083)),f295(x66081,x66083,x66084)),f178(f906(x66081,a894))) % 169.26/169.08 [6609]~P109(x66091)+E(f317(f317(f92(f906(x66091,a894)),f293(x66091,x66092,x66093)),f296(x66091,x66093,x66094)),f178(f906(x66091,a894))) % 169.26/169.08 [6610]~P109(x66101)+E(f317(f317(f92(f906(x66101,a894)),f293(x66101,x66102,x66103)),f295(x66101,x66103,x66104)),f178(f906(x66101,a894))) % 169.26/169.08 [6648]P1(f317(f317(x66481,x66482),f503(x66482,x66481)))+~P1(f317(f239(x66483,x66484,x66481),x66482)) % 169.26/169.08 [6730]~P4(x67302)+E(f317(f162(x67301),f140(x67301,x67302,x67303,x67304)),f317(f162(x67301),x67304)) % 169.26/169.08 [6782]~P144(x67821)+E(f180(x67821,x67822,f317(a102,x67823),x67824),f180(x67821,x67822,x67823,f317(x67822,x67824))) % 169.26/169.08 [6846]~P1(f317(f317(f319(x68464),x68463),f284(x68464,x68461,x68462)))+P1(f317(f317(x68461,x68462),x68463)) % 169.26/169.08 [6847]~P1(f317(f317(f319(x68474),x68473),f285(x68474,x68471,x68472)))+P1(f317(f317(x68471,x68472),x68473)) % 169.26/169.08 [6848]~P1(f317(f317(f319(x68484),x68482),f286(x68484,x68481,x68483)))+P1(f317(f317(x68481,x68482),x68483)) % 169.26/169.08 [6849]~P1(f317(f317(f319(x68494),x68492),f288(x68494,x68491,x68493)))+P1(f317(f317(x68491,x68492),x68493)) % 169.26/169.08 [6926]E(f317(f29(f904(x69261,x69262)),f303(x69261,x69262,x69263,x69264)),f2(a897))+P1(f317(f28(x69262),x69264)) % 169.26/169.08 [6927]E(f317(f29(f904(x69271,x69272)),f303(x69271,x69272,x69273,x69274)),f2(a897))+P1(f317(f28(x69271),x69273)) % 169.26/169.08 [7134]~P17(x71344,x71341,x71342)+E(f317(f67(x71341,x71341,x71341,f317(x71342,x71343)),f317(x71342,x71343)),f317(x71342,x71343)) % 169.26/169.08 [7375]E(f267(x73751,x73752,x73753,x73754),f317(f242(f906(a89,f906(a894,f901(f899(x73751)))),f905(a89,a89)),f36(x73751)))+~P1(f317(f317(f224(a89),x73753),f2(a89))) % 169.26/169.08 [8019]~E(x80192,x80193)+P1(f317(f317(f319(f905(x80191,x80191)),f317(f317(f242(x80191,x80191),x80192),x80193)),f297(x80191,x80194))) % 169.26/169.08 [8048]~P27(x80481,x80482,x80483,f232(f906(x80481,a894)))+E(f317(f71(x80481,x80482,f232(f906(x80481,a894)),x80483),f317(x80483,x80484)),x80484) % 169.26/169.08 [8049]~P27(x80491,x80492,x80493,f232(f906(x80491,a894)))+E(f317(f85(x80491,x80492,f232(f906(x80491,a894)),x80493),f317(x80493,x80494)),x80494) % 169.26/169.08 [8136]~P1(f317(f317(f319(f898(x81361)),f317(f317(f141(x81361),x81364),x81362)),f151(x81361,x81363)))+P1(f317(f317(f319(f898(x81361)),x81362),f151(x81361,x81363))) % 169.26/169.08 [8137]~P1(f317(f317(f319(f898(x81371)),f317(f317(f124(x81371),x81374),x81372)),f151(x81371,x81373)))+P1(f317(f317(f319(f898(x81371)),x81372),f151(x81371,x81373))) % 169.26/169.08 [8138]~P1(f317(f317(f319(f898(x81381)),f317(f317(f124(x81381),x81382),x81384)),f151(x81381,x81383)))+P1(f317(f317(f319(f898(x81381)),x81382),f151(x81381,x81383))) % 169.26/169.08 [8149]~P4(x81491)+P16(x81491,f317(f317(f144(x81492,x81491),x81493),f140(x81492,x81491,x81493,x81494))) % 169.26/169.08 [8254]P27(x82544,x82543,x82541,x82542)+E(f317(x82541,f878(x82542,x82541,x82543,x82544)),f317(x82541,f886(x82542,x82541,x82543,x82544))) % 169.26/169.08 [8361]~P27(x83612,x83611,x83614,x83613)+P27(x83611,x83612,f71(x83612,x83611,x83613,x83614),f317(f300(x83612,x83611,x83614),x83613)) % 169.26/169.08 [8501]P39(f905(x85012,x85014),f270(x85012,x85014,x85011,x85013))+P1(f317(x85011,f508(x85012,x85013,x85014,x85011))) % 169.26/169.08 [8616]E(x86161,x86162)+~P1(f317(f317(f319(f905(x86163,x86163)),f317(f317(f242(x86163,x86163),x86161),x86162)),f253(x86163,x86164))) % 169.26/169.08 [8680]~P1(f317(f28(f904(x86803,x86801)),f303(x86803,x86801,x86804,x86802)))+P1(f317(f28(x86801),x86802)) % 169.26/169.08 [8681]~P1(f317(f28(f904(x86811,x86813)),f303(x86811,x86813,x86812,x86814)))+P1(f317(f28(x86811),x86812)) % 169.26/169.08 [8690]~P27(x86901,x86902,x86903,x86904)+P28(x86901,x86902,x86903,x86904,f317(f300(x86901,x86902,x86903),x86904)) % 169.26/169.08 [8691]P14(x86911,x86912,x86913,x86914)+~E(f317(x86914,f822(x86912,x86914,x86913,x86911)),f317(x86914,f823(x86912,x86914,x86913,x86911))) % 169.26/169.08 [8781]~P28(x87812,x87813,x87814,x87811,f178(f906(x87813,a894)))+E(x87811,f178(f906(x87812,a894))) % 169.26/169.08 [8782]~P28(x87823,x87822,x87824,f178(f906(x87823,a894)),x87821)+E(x87821,f178(f906(x87822,a894))) % 169.26/169.08 [8874]P39(f905(x88741,x88742),f270(x88741,x88742,x88743,x88744))+~P39(x88742,f317(x88744,f508(x88741,x88744,x88742,x88743))) % 169.26/169.08 [9442]E(f317(f317(f149(x94421,x94422),f647(x94423,x94424,x94422,x94421)),f648(x94423,x94424,x94422,x94421)),x94424)+~P1(f317(f317(f319(f905(f898(x94421),f898(x94421))),f317(f317(f242(f898(x94421),f898(x94421)),x94422),x94424)),f147(x94421,x94423))) % 169.26/169.08 [9447]~P1(f317(f317(f319(f905(f898(x94471),f898(x94471))),f317(f317(f242(f898(x94471),f898(x94471)),x94472),x94473)),f135(x94471,x94474)))+P1(f317(f317(f319(f905(f898(x94471),f898(x94471))),f317(f317(f242(f898(x94471),f898(x94471)),x94472),x94473)),f137(x94471,x94474))) % 169.26/169.08 [9559]P1(f317(f28(x95591),x95592))+~P1(f317(f317(f319(f905(f906(x95591,a894),f906(x95591,a894))),f317(f317(f242(f906(x95591,a894),f906(x95591,a894)),x95593),x95592)),f308(x95591,x95594))) % 169.26/169.08 [9560]P1(f317(f28(x95601),x95602))+~P1(f317(f317(f319(f905(f906(x95601,a894),f906(x95601,a894))),f317(f317(f242(f906(x95601,a894),f906(x95601,a894)),x95602),x95603)),f308(x95601,x95604))) % 169.26/169.08 [9563]~E(x95631,f178(f906(x95632,a894)))+~P1(f317(f317(f319(f905(f906(x95632,a894),f906(x95632,a894))),f317(f317(f242(f906(x95632,a894),f906(x95632,a894)),x95633),x95631)),f308(x95632,x95634))) % 169.26/169.08 [10207]P14(x102071,x102072,x102073,x102074)+~P1(f317(f317(f247(x102071,x102071,a894),f317(f317(f7(x102071,f906(x102071,x102072),f906(x102071,a894)),f317(f317(f8(f906(x102072,a894),f906(f906(x102071,x102072),f906(x102071,a894)),x102071),f8(x102072,a894,x102071)),f317(f317(f8(x102072,f906(x102072,a894),x102071),a314),x102074))),x102074)),f514(x102074,x102073,x102072,x102071))) % 169.26/169.08 [5030]~E(x50302,f103(x50301))+E(f317(f317(f149(x50301,x50302),x50303),x50304),f103(x50301)) % 169.26/169.08 [5031]~E(x50314,f103(x50311))+E(f317(f317(f144(x50311,x50312),x50313),x50314),f103(x50312)) % 169.26/169.08 [5265]E(x52651,f103(x52652))+~E(f317(f317(f144(x52652,x52653),x52654),x52651),f103(x52653)) % 169.26/169.08 [5266]E(x52661,f103(x52662))+~E(f317(f317(f149(x52662,x52661),x52663),x52664),f103(x52662)) % 169.26/169.08 [5303]E(x53031,x53032)+~E(f317(f317(f124(x53033),x53034),x53031),f317(f317(f124(x53033),x53034),x53032)) % 169.26/169.08 [5304]E(x53041,x53042)+~E(f317(f317(f124(x53043),x53041),x53044),f317(f317(f124(x53043),x53042),x53044)) % 169.26/169.08 [5453]P1(f317(x54533,x54532))+E(f160(x54531,x54532,f317(f126(x54531,x54533),x54534)),f317(f126(x54531,x54533),x54534)) % 169.26/169.08 [5455]~P1(f317(x54552,x54553))+P35(x54551,x54552,f317(f317(f141(x54551),x54553),x54554)) % 169.26/169.08 [5465]E(x54651,x54652)+~E(f129(a897,f317(f292(a897,x54651),x54653)),f317(f317(f141(a897),x54652),x54654)) % 169.26/169.08 [5514]~P29(x55142,x55143)+P29(x55141,f317(f317(f68(x55142,x55141),x55143),x55144)) % 169.26/169.08 [5515]~P39(x55152,x55153)+P39(x55151,f317(f317(f278(x55152,x55151),x55153),x55154)) % 169.26/169.08 [5516]~P40(x55162,x55163)+P40(x55161,f317(f317(f278(x55162,x55161),x55163),x55164)) % 169.26/169.08 [5517]~P54(x55172,x55173)+P54(x55171,f317(f317(f278(x55172,x55171),x55173),x55174)) % 169.26/169.08 [5646]~P35(x56461,x56462,x56464)+P35(x56461,x56462,f317(f317(f141(x56461),x56463),x56464)) % 169.26/169.08 [5647]~P35(x56471,x56472,x56474)+P35(x56471,x56472,f317(f317(f124(x56471),x56473),x56474)) % 169.26/169.08 [5648]~P35(x56481,x56482,x56483)+P35(x56481,x56482,f317(f317(f124(x56481),x56483),x56484)) % 169.26/169.08 [5735]~E(x57351,f103(x57352))+~E(f317(f317(f124(x57352),x57353),f317(f317(f141(x57352),x57354),f103(x57352))),x57351) % 169.26/169.08 [5760]~P33(x57603,x57601,f317(f317(f141(x57603),x57602),x57604))+P1(f317(x57601,x57602)) % 169.26/169.08 [5770]E(f104(x57701,x57702),x57703)+~E(f317(f317(f124(x57701),x57703),f317(f317(f141(x57701),x57704),f103(x57701))),x57702) % 169.26/169.08 [5771]E(f134(x57711,x57712),x57713)+~E(f317(f317(f124(x57711),x57714),f317(f317(f141(x57711),x57713),f103(x57711))),x57712) % 169.26/169.08 [5881]~E(f129(a897,f317(f292(a897,x58811),x58812)),f317(f317(f141(a897),x58813),x58814))+P1(f317(f317(f225(a897),x58811),x58812)) % 169.26/169.08 [5899]P33(x58991,x58992,x58993)+~P33(x58991,x58992,f317(f317(f141(x58991),x58994),x58993)) % 169.26/169.08 [5900]P33(x59001,x59002,x59003)+~P33(x59001,x59002,f317(f317(f124(x59001),x59004),x59003)) % 169.26/169.08 [5901]P33(x59011,x59012,x59013)+~P33(x59011,x59012,f317(f317(f124(x59011),x59013),x59014)) % 169.26/169.08 [6100]E(x61001,f317(f317(f124(x61002),f317(f158(x61002),x61003)),f317(f317(f141(x61002),x61004),f103(x61002))))+~E(f317(f158(x61002),x61001),f317(f317(f141(x61002),x61004),x61003)) % 169.26/169.08 [6282]~P109(x62821)+E(f317(f317(f92(f906(x62821,a894)),f317(f292(x62821,x62822),x62823)),f317(f292(x62821,x62823),x62824)),f178(f906(x62821,a894))) % 169.26/169.08 [6293]E(f317(f317(f154(x62931),f159(x62931,x62932,x62933)),x62934),x62933)+~P1(f317(f317(f225(a897),x62934),x62932)) % 169.26/169.08 [6320]~P76(x63201)+E(f317(f155(x63201),f317(f317(f144(a1,x63201),x63202),f168(x63203,x63204))),f317(f317(f6(a1,x63201),x63202),f317(f162(a1),f168(x63203,x63204)))) % 169.26/169.08 [6321]~P76(x63211)+E(f317(f317(f6(a1,x63211),x63212),f317(f162(a1),f168(x63213,x63214))),f317(f155(x63211),f317(f317(f144(a1,x63211),x63212),f168(x63213,x63214)))) % 169.26/169.08 [6470]~E(x64702,f317(f317(f124(x64701),f317(f158(x64701),x64704)),f317(f317(f141(x64701),x64703),f103(x64701))))+E(f317(f158(x64701),x64702),f317(f317(f141(x64701),x64703),x64704)) % 169.26/169.08 [6486]~P22(x64862,x64863,x64864,x64861)+E(f317(x64861,f178(f906(x64862,a894))),f25(x64863)) % 169.26/169.08 [6514]~P109(x65141)+E(f317(f317(f92(f906(x65141,a894)),f296(x65141,x65142,x65143)),f317(f292(x65141,x65143),x65144)),f178(f906(x65141,a894))) % 169.26/169.08 [6733]E(x67331,f178(f906(x67332,a894)))+~E(f303(x67333,x67332,x67334,x67331),f178(f906(f904(x67333,x67332),a894))) % 169.26/169.08 [6734]E(x67341,f178(f906(x67342,a894)))+~E(f303(x67342,x67343,x67341,x67344),f178(f906(f904(x67342,x67343),a894))) % 169.26/169.08 [6803]~P4(x68032)+E(f317(f179(f898(x68031)),f140(x68031,x68032,x68033,x68034)),f317(f179(f898(x68031)),x68034)) % 169.26/169.08 [6814]~P1(f317(f240(x68143,x68144,x68141),x68142))+P1(f317(f317(x68141,f492(x68142,x68141)),x68142)) % 169.26/169.08 [6860]~P1(f317(f28(x68602),x68604))+P1(f317(f28(x68601),f317(f300(x68602,x68601,x68603),x68604))) % 169.26/169.08 [7095]~P27(x70952,x70951,x70953,x70954)+E(f317(f29(x70951),f317(f300(x70952,x70951,x70953),x70954)),f317(f29(x70952),x70954)) % 169.26/169.08 [7113]E(f317(f300(x71131,x71132,x71133),f317(f301(x71131,x71132,x71133),x71134)),x71134)+~E(f317(f300(x71131,x71132,x71133),f232(f906(x71131,a894))),f232(f906(x71132,a894))) % 169.26/169.08 [7529]~P27(x75291,x75292,x75293,f232(f906(x75291,a894)))+E(f317(f301(x75291,x75292,x75293),f317(f300(x75291,x75292,x75293),x75294)),x75294) % 169.26/169.08 [7813]E(x78131,x78132)+~P1(f317(f317(f319(x78133),x78131),f317(f162(x78133),f159(x78133,x78134,x78132)))) % 169.26/169.08 [7822]~E(x78221,f2(a897))+~P1(f317(f317(f319(x78222),x78223),f317(f162(x78222),f159(x78222,x78221,x78224)))) % 169.26/169.08 [7855]P1(f317(x78551,x78552))+~P1(f317(f317(f319(x78553),x78552),f317(f162(x78553),f167(x78553,x78551,x78554)))) % 169.26/169.08 [7965]~P1(f317(f317(f319(f898(x79651)),f317(f317(f141(x79651),x79652),x79654)),f151(x79651,x79653)))+P1(f317(f317(f319(x79651),x79652),x79653)) % 169.26/169.08 [8093]~P1(f317(f317(f319(x80931),x80932),f317(f162(x80931),f166(x80931,x80933,x80934))))+P1(f317(f317(f319(x80931),x80932),f317(f162(x80931),x80933))) % 169.26/169.08 [8094]~P1(f317(f317(f319(x80941),x80942),f317(f162(x80941),f160(x80941,x80944,x80943))))+P1(f317(f317(f319(x80941),x80942),f317(f162(x80941),x80943))) % 169.26/169.08 [8095]~P1(f317(f317(f319(x80951),x80952),f317(f162(x80951),f167(x80951,x80954,x80953))))+P1(f317(f317(f319(x80951),x80952),f317(f162(x80951),x80953))) % 169.26/169.08 [8105]E(f317(f179(f898(x81051)),x81052),x81053)+~P1(f317(f317(f319(f898(x81051)),x81052),f317(f162(f898(x81051)),f50(x81051,x81053,x81054)))) % 169.26/169.08 [8200]P1(f317(x82003,x82002))+E(f317(f126(x82001,f317(f317(f8(a894,a894,x82001),a312),f317(a314,x82002))),f317(f126(x82001,x82003),x82004)),f317(f126(x82001,x82003),x82004)) % 169.26/169.08 [8312]E(f317(f317(f154(x83121),f167(x83121,x83122,x83123)),x83124),f317(f317(f154(x83121),x83123),x83124))+~P1(f317(f317(f225(a897),x83124),f317(f179(f898(x83121)),f167(x83121,x83122,x83123)))) % 169.26/169.08 [8399]~P76(x83991)+E(f317(f317(f6(a897,x83991),f317(f317(f8(a897,x83991,a897),x83992),a102)),f317(f292(a897,x83993),x83994)),f317(f317(f6(a897,x83991),x83992),f317(f292(a897,f317(a102,x83993)),f317(a102,x83994)))) % 169.26/169.08 [8408]~P76(x84081)+E(f317(f317(f6(a897,x84081),f317(f317(f8(a897,x84081,a897),x84082),a102)),f293(a897,x84083,x84084)),f317(f317(f6(a897,x84081),x84082),f293(a897,f317(a102,x84083),f317(a102,x84084)))) % 169.26/169.08 [8537]~P27(x85371,x85373,x85374,f232(f906(x85371,a894)))+P27(x85371,f906(x85372,x85373),f317(f317(f8(x85373,f906(x85372,x85373),x85371),f16(x85373,x85372)),x85374),f232(f906(x85371,a894))) % 169.26/169.08 [8622]~P27(x86222,x86221,x86224,x86223)+E(f317(f300(x86221,x86222,f71(x86222,x86221,x86223,x86224)),f317(f300(x86222,x86221,x86224),x86223)),x86223) % 169.26/169.08 [8682]~P1(f317(f317(f319(f905(x86821,x86821)),f317(f317(f242(x86821,x86821),x86822),x86824)),f253(x86821,x86823)))+P1(f317(f317(f319(x86821),x86822),x86823)) % 169.26/169.08 [8805]~P27(x88052,x88051,x88053,f232(f906(x88052,a894)))+E(f317(f300(x88051,x88052,f85(x88052,x88051,f232(f906(x88052,a894)),x88053)),f317(f300(x88052,x88051,x88053),x88054)),x88054) % 169.26/169.08 [8880]~P28(x88801,x88802,x88803,x88804,f232(f906(x88802,a894)))+E(f317(f300(x88801,x88802,x88803),f232(f906(x88801,a894))),f232(f906(x88802,a894))) % 169.26/169.08 [8913]~E(f317(f317(f6(x89131,a897),x89134),x89133),f317(a102,x89132))+P1(f317(f317(f319(x89131),f524(x89132,x89133,x89134,x89131)),x89133)) % 169.26/169.08 [8934]~E(f317(f317(f6(x89344,a897),x89341),x89343),f317(a102,x89342))+P1(f317(f317(f225(a897),f2(a897)),f317(x89341,f524(x89342,x89343,x89341,x89344)))) % 169.26/169.08 [8945]~P1(f317(f28(x89452),x89454))+P1(f317(f317(f224(a897),f317(f29(x89451),f317(f300(x89452,x89451,x89453),x89454))),f317(f29(x89452),x89454))) % 169.26/169.08 [8946]E(f317(f317(f242(x89461,x89462),f620(x89463,x89464,x89462,x89461)),f621(x89463,x89464,x89462,x89461)),x89464)+~P1(f317(f317(f319(f905(x89461,x89462)),x89464),f317(f276(x89462,x89461),x89463))) % 169.26/169.08 [8954]P27(x89541,x89542,x89543,x89544)+P1(f317(f317(f319(x89541),f878(x89544,x89543,x89542,x89541)),x89544)) % 169.26/169.08 [8955]P27(x89551,x89552,x89553,x89554)+P1(f317(f317(f319(x89551),f886(x89554,x89553,x89552,x89551)),x89554)) % 169.26/169.08 [9023]P14(x90231,x90232,x90233,x90234)+P1(f317(f317(f319(f905(x90231,x90231)),f514(x90234,x90233,x90232,x90231)),x90233)) % 169.26/169.08 [9077]P1(f317(x90771,x90772))+~P1(f317(x90771,f317(f317(f242(x90773,x90774),f881(x90774,x90773,x90771)),f882(x90774,x90773,x90771)))) % 169.26/169.08 [9094]E(f317(f179(f898(x90941)),x90942),f317(f179(f898(x90941)),x90943))+~P1(f317(f317(f319(f905(f898(x90941),f898(x90941))),f317(f317(f242(f898(x90941),f898(x90941)),x90942),x90943)),f135(x90941,x90944))) % 169.26/169.08 [9095]E(f317(f179(f898(x90951)),x90952),f317(f179(f898(x90951)),x90953))+~P1(f317(f317(f319(f905(f898(x90951),f898(x90951))),f317(f317(f242(f898(x90951),f898(x90951)),x90952),x90953)),f147(x90951,x90954))) % 169.26/169.08 [9098]E(f317(f179(f898(x90981)),x90982),f317(f179(f898(x90981)),x90983))+~P1(f317(f317(f319(f905(f898(x90981),f898(x90981))),f317(f317(f242(f898(x90981),f898(x90981)),x90982),x90983)),f148(x90981,x90984))) % 169.26/169.08 [9168]P1(f317(f317(f224(a897),f145(x91681,x91682,x91683)),f145(x91681,x91684,x91683)))+P1(f317(f317(f319(x91681),f646(x91684,x91682,x91683,x91681)),f317(f162(x91681),x91683))) % 169.26/169.08 [9171]E(f317(f179(f898(x91711)),x91712),f317(f179(f898(x91711)),x91713))+~P1(f317(f317(f319(f905(f898(x91711),f898(x91711))),f317(f317(f242(f898(x91711),f898(x91711)),x91712),x91713)),f297(f898(x91711),f147(x91711,x91714)))) % 169.26/169.08 [9289]P1(f317(f317(f277(a897),x92891),x92892))+P1(f317(f317(f224(f906(a897,a894)),f280(a897,f277(a897),x92891,x92892)),f280(a897,f277(a897),x92893,x92894))) % 169.26/169.08 [9413]~P27(x94131,x94132,x94133,x94134)+~P1(f317(f317(f225(a897),f317(f29(x94132),f317(f300(x94131,x94132,x94133),x94134))),f317(f29(x94131),x94134))) % 169.26/169.08 [9460]~P1(f317(f317(f319(f905(f898(x94601),f898(x94601))),f317(f317(f242(f898(x94601),f898(x94601)),x94602),x94603)),f147(x94601,x94604)))+P1(f317(f317(f319(f905(f898(x94601),f898(x94601))),f317(f317(f242(f898(x94601),f898(x94601)),x94602),x94603)),f148(x94601,f297(x94601,x94604)))) % 169.26/169.08 [9464]~P1(f317(f317(f319(f905(f898(x94641),f898(x94641))),f317(f317(f242(f898(x94641),f898(x94641)),x94642),x94643)),f148(x94641,x94644)))+P1(f317(f317(f319(f905(f898(x94641),f898(x94641))),f317(f317(f242(f898(x94641),f898(x94641)),x94642),x94643)),f297(f898(x94641),f147(x94641,x94644)))) % 169.26/169.08 [9480]P1(f317(f317(f319(f905(x94801,x94801)),f317(f317(f242(x94801,x94801),x94802),x94803)),f297(x94801,x94804)))+~P1(f317(f317(f319(f905(x94801,x94801)),f317(f317(f242(x94801,x94801),x94802),x94803)),f317(f317(f279(x94801,x94801,x94801),x94804),f297(x94801,x94804)))) % 169.26/169.08 [9554]P1(f317(f317(f277(a897),x95541),x95542))+~P1(f317(f317(f225(f906(a897,a894)),f280(a897,f277(a897),x95543,x95544)),f280(a897,f277(a897),x95541,x95542))) % 169.26/169.08 [9677]E(f317(f317(f124(x96771),f663(x96772,x96773,x96774,x96771)),f317(f317(f141(x96771),f664(x96772,x96773,x96774,x96771)),f666(x96772,x96773,x96774,x96771))),x96774)+~P1(f317(f317(f319(f905(f898(x96771),f898(x96771))),f317(f317(f242(f898(x96771),f898(x96771)),x96774),x96773)),f147(x96771,x96772))) % 169.26/169.08 [9678]E(f317(f317(f124(x96781),f663(x96782,x96783,x96784,x96781)),f317(f317(f141(x96781),f665(x96782,x96783,x96784,x96781)),f666(x96782,x96783,x96784,x96781))),x96783)+~P1(f317(f317(f319(f905(f898(x96781),f898(x96781))),f317(f317(f242(f898(x96781),f898(x96781)),x96784),x96783)),f147(x96781,x96782))) % 169.26/169.08 [9756]P1(f317(f317(f319(f905(x97561,x97561)),f317(f317(f242(x97561,x97561),x97562),f577(x97563,x97564,x97562,x97561))),f297(x97561,x97563)))+~P1(f317(f317(f319(f905(x97561,x97561)),f317(f317(f242(x97561,x97561),x97562),x97564)),f317(f317(f279(x97561,x97561,x97561),x97563),f297(x97561,x97563)))) % 169.26/169.08 [9824]P1(f317(f317(f224(a897),f145(x98241,x98242,x98243)),f145(x98241,x98244,x98243)))+~P1(f317(f317(f225(a897),f317(x98242,f646(x98244,x98242,x98243,x98241))),f317(x98244,f646(x98244,x98242,x98243,x98241)))) % 169.26/169.08 [9896]P1(f317(f317(f319(f905(x98961,x98961)),f317(f317(f242(x98961,x98961),f569(x98962,x98963,x98964,x98961)),x98963)),f297(x98961,x98962)))+~P1(f317(f317(f319(f905(x98961,x98961)),f317(f317(f242(x98961,x98961),x98964),x98963)),f317(f317(f279(x98961,x98961,x98961),x98962),f297(x98961,x98962)))) % 169.26/169.08 [5284]~E(x52842,x52843)+E(f160(x52841,x52842,f317(f317(f141(x52841),x52843),x52844)),x52844) % 169.26/169.08 [5409]P1(f317(x54092,x54093))+E(f167(x54091,x54092,f317(f317(f141(x54091),x54093),x54094)),f103(x54091)) % 169.26/169.08 [5477]~P91(x54772)+E(f317(f317(f73(f906(x54771,x54772)),x54773),x54774),f317(f73(x54772),f317(x54773,x54774))) % 169.26/169.08 [5490]~E(x54902,f2(a897))+E(f317(f317(f128(x54901),x54902),f317(f317(f141(x54901),x54903),x54904)),f317(f317(f141(x54901),x54903),x54904)) % 169.26/169.08 [5491]P1(f317(x54912,x54913))+E(f317(f126(x54911,x54912),f317(f317(f141(x54911),x54913),x54914)),f317(f126(x54911,x54912),x54914)) % 169.26/169.08 [5629]~E(x56292,x56294)+P1(f317(f317(f317(f299(x56291),x56292),x56293),x56294)) % 169.26/169.08 [5637]E(x56371,f103(x56372))+E(f134(x56373,f317(f317(f144(x56372,x56373),x56374),x56371)),f317(x56374,f134(x56372,x56371))) % 169.26/169.08 [5651]~E(x56511,f57(x56512,x56514))+E(f317(x56511,f317(f317(f299(x56512),x56513),f178(f906(x56512,a894)))),x56513) % 169.26/169.08 [5687]E(x56871,f103(x56872))+E(f317(f131(x56873),f317(f317(f144(x56872,x56873),x56874),x56871)),f317(x56874,f317(f131(x56872),x56871))) % 169.26/169.08 [5790]~P1(f317(x57903,x57904))+P1(f317(f317(f317(f299(x57901),x57902),x57903),x57904)) % 169.26/169.08 [5918]~P21(x59182,x59184,x59181)+E(f317(x59181,f317(f317(f299(x59182),x59183),f178(f906(x59182,a894)))),x59183) % 169.26/169.08 [5944]~E(x59442,x59443)+P1(f317(f317(f319(x59441),x59442),f317(f317(f299(x59441),x59443),x59444))) % 169.26/169.08 [5949]~P112(x59491)+E(f317(f317(f74(x59491),x59492),f317(f317(f74(x59491),x59493),x59494)),f317(f317(f74(x59491),x59493),f317(f317(f74(x59491),x59492),x59494))) % 169.26/169.08 [5950]~P112(x59501)+E(f317(f317(f75(x59501),x59502),f317(f317(f75(x59501),x59503),x59504)),f317(f317(f75(x59501),x59503),f317(f317(f75(x59501),x59502),x59504))) % 169.26/169.08 [5952]~P4(x59521)+E(f317(f317(f228(x59521),x59522),f317(f317(f228(x59521),x59523),x59524)),f317(f317(f228(x59521),x59523),f317(f317(f228(x59521),x59522),x59524))) % 169.26/169.08 [5954]~P4(x59541)+E(f317(f317(f223(x59541),x59542),f317(f317(f223(x59541),x59543),x59544)),f317(f317(f223(x59541),x59543),f317(f317(f223(x59541),x59542),x59544))) % 169.26/169.08 [5956]~P100(x59561)+E(f317(f317(f91(x59561),x59562),f317(f317(f91(x59561),x59563),x59564)),f317(f317(f91(x59561),x59563),f317(f317(f91(x59561),x59562),x59564))) % 169.26/169.08 [5957]~P101(x59571)+E(f317(f317(f91(x59571),x59572),f317(f317(f91(x59571),x59573),x59574)),f317(f317(f91(x59571),x59573),f317(f317(f91(x59571),x59572),x59574))) % 169.26/169.08 [5958]~P101(x59581)+E(f317(f317(f92(x59581),x59582),f317(f317(f92(x59581),x59583),x59584)),f317(f317(f92(x59581),x59583),f317(f317(f92(x59581),x59582),x59584))) % 169.26/169.08 [5960]~P106(x59601)+E(f317(f317(f92(x59601),x59602),f317(f317(f92(x59601),x59603),x59604)),f317(f317(f92(x59601),x59603),f317(f317(f92(x59601),x59602),x59604))) % 169.26/169.08 [5967]E(x59671,x59672)+E(f160(x59673,x59671,f317(f317(f141(x59673),x59672),x59674)),f317(f317(f141(x59673),x59672),f160(x59673,x59671,x59674))) % 169.26/169.08 [5982]~P1(f317(x59822,x59823))+E(f317(f126(x59821,x59822),f317(f317(f141(x59821),x59823),x59824)),f317(f317(f141(x59821),x59823),f317(f126(x59821,x59822),x59824))) % 169.26/169.08 [6122]~P1(f317(x61222,x61223))+E(f167(x61221,x61222,f317(f317(f141(x61221),x61223),x61224)),f317(f317(f141(x61221),x61223),f167(x61221,x61222,x61224))) % 169.26/169.08 [6186]E(x61861,f178(f906(x61862,a894)))+E(f317(f317(f34(x61862,f906(x61863,a894)),x61861),f317(f16(f906(x61863,a894),x61862),x61864)),x61864) % 169.26/169.08 [6187]E(x61871,f178(f906(x61872,a894)))+E(f317(f317(f35(x61872,f906(x61873,a894)),x61871),f317(f16(f906(x61873,a894),x61872),x61874)),x61874) % 169.26/169.08 [6196]~E(x61964,f178(f906(x61962,a894)))+E(f317(f317(f244(x61961,x61962),x61963),f317(f16(f906(x61962,a894),x61961),x61964)),f178(f906(f905(x61961,x61962),a894))) % 169.26/169.08 [6197]~E(x61973,f178(f906(x61971,a894)))+E(f317(f317(f244(x61971,x61972),x61973),f317(f16(f906(x61972,a894),x61971),x61974)),f178(f906(f905(x61971,x61972),a894))) % 169.26/169.08 [6253]E(x62531,f2(a897))+E(f317(f317(f128(x62532),x62531),f317(f317(f141(x62532),x62533),x62534)),f317(f317(f128(x62532),f317(f317(f23(a897),x62531),f72(a897))),x62534)) % 169.26/169.08 [6274]E(x62741,f178(f906(x62742,a894)))+E(f317(f300(x62742,x62743,f317(f16(x62743,x62742),x62744)),x62741),f317(f317(f299(x62743),x62744),f178(f906(x62743,a894)))) % 169.26/169.08 [6277]E(f317(f301(x62771,x62772,f317(f16(x62772,x62771),x62773)),x62774),f178(f906(x62771,a894)))+P1(f317(f317(f319(x62772),x62773),x62774)) % 169.26/169.08 [6346]~E(x63463,f178(f906(x63461,a894)))+E(f317(f317(f34(x63461,f906(x63462,a894)),x63463),f317(f16(f906(x63462,a894),x63461),x63464)),f178(f906(x63462,a894))) % 169.26/169.08 [6347]~E(x63473,f178(f906(x63471,a894)))+E(f317(f317(f35(x63471,f906(x63472,a894)),x63473),f317(f16(f906(x63472,a894),x63471),x63474)),f232(f906(x63472,a894))) % 169.26/169.08 [6349]~P6(x63491)+E(f40(x63491,f317(f317(f75(x63491),x63492),x63493),f317(f317(f75(x63491),x63492),x63494)),f317(f317(f75(x63491),x63492),f40(x63491,x63493,x63494))) % 169.26/169.08 [6524]E(f317(f301(x65241,x65242,f317(f16(x65242,x65241),x65243)),x65244),f232(f906(x65241,a894)))+~P1(f317(f317(f319(x65242),x65243),x65244)) % 169.26/169.08 [6547]~P1(f317(f317(f319(x65471),x65472),x65474))+P1(f317(f317(f319(x65471),x65472),f317(f317(f299(x65471),x65473),x65474))) % 169.26/169.08 [6552]P1(f317(x65521,x65522))+~P1(f317(f150(x65523,x65521),f317(f317(f141(x65523),x65522),x65524))) % 169.26/169.08 [6561]~E(x65613,f317(f317(f23(a897),f317(f179(f898(x65611)),x65612)),f72(a897)))+E(f104(x65611,f317(f317(f149(x65611,x65612),x65613),x65614)),f104(x65611,x65612)) % 169.26/169.08 [6584]~P4(x65841)+E(f317(f317(f92(f906(x65841,a894)),f317(f291(x65841),x65842)),f293(x65841,x65843,x65844)),f293(x65841,x65843,f317(f317(f228(x65841),x65842),x65844))) % 169.26/169.08 [6585]~P4(x65851)+E(f317(f317(f92(f906(x65851,a894)),f317(f273(x65851),x65852)),f293(x65851,x65853,x65854)),f293(x65851,f317(f317(f223(x65851),x65852),x65853),x65854)) % 169.26/169.08 [6601]E(f317(f317(f92(f906(x66011,a894)),x66012),f317(f317(f299(x66011),x66013),x66014)),f317(f317(f92(f906(x66011,a894)),x66012),x66014))+P1(f317(f317(f319(x66011),x66013),x66012)) % 169.26/169.08 [6613]E(f160(x66131,x66132,f317(f317(f124(x66131),x66133),x66134)),f317(f317(f124(x66131),x66133),f160(x66131,x66132,x66134)))+P1(f317(f317(f319(x66131),x66132),f317(f162(x66131),x66133))) % 169.26/169.08 [6618]~P84(x66181)+E(f317(f317(f75(x66181),f317(f317(f234(x66181),x66182),x66183)),f317(f317(f234(x66181),x66182),x66184)),f317(f317(f234(x66181),x66182),f317(f317(f74(a897),x66183),x66184))) % 169.26/169.08 [6619]~P112(x66191)+E(f317(f317(f75(x66191),f317(f317(f234(x66191),x66192),x66193)),f317(f317(f234(x66191),x66192),x66194)),f317(f317(f234(x66191),x66192),f317(f317(f74(a897),x66193),x66194))) % 169.26/169.08 [6656]~P112(x66561)+E(f317(f317(f74(x66561),f317(f317(f75(x66561),x66562),x66563)),f317(f317(f75(x66561),x66562),x66564)),f317(f317(f75(x66561),x66562),f317(f317(f74(x66561),x66563),x66564))) % 169.26/169.08 [6657]~P4(x66571)+E(f317(f317(f223(x66571),f317(f317(f228(x66571),x66572),x66573)),f317(f317(f228(x66571),x66572),x66574)),f317(f317(f228(x66571),x66572),f317(f317(f223(x66571),x66573),x66574))) % 169.26/169.08 [6658]~P4(x66581)+E(f317(f317(f228(x66581),f317(f317(f223(x66581),x66582),x66583)),f317(f317(f223(x66581),x66582),x66584)),f317(f317(f223(x66581),x66582),f317(f317(f228(x66581),x66583),x66584))) % 169.26/169.08 [6659]~P104(x66591)+E(f317(f317(f92(x66591),f317(f317(f91(x66591),x66592),x66593)),f317(f317(f91(x66591),x66592),x66594)),f317(f317(f91(x66591),x66592),f317(f317(f92(x66591),x66593),x66594))) % 169.26/169.08 [6660]~P104(x66601)+E(f317(f317(f91(x66601),f317(f317(f92(x66601),x66602),x66603)),f317(f317(f92(x66601),x66602),x66604)),f317(f317(f92(x66601),x66602),f317(f317(f91(x66601),x66603),x66604))) % 169.26/169.08 [6694]~P6(x66941)+E(f40(x66941,f317(f317(f75(x66941),x66942),x66943),f317(f317(f75(x66941),x66944),x66943)),f317(f317(f75(x66941),f40(x66941,x66942,x66944)),x66943)) % 169.26/169.08 [6697]~E(f317(f179(f898(x66971)),x66973),f317(f179(f898(x66972)),x66974))+E(f317(f317(f144(f905(x66971,x66972),x66972),f246(x66971,x66972)),f317(f317(f171(x66971,x66972),x66973),x66974)),x66974) % 169.26/169.08 [6698]~E(f317(f179(f898(x66981)),x66983),f317(f179(f898(x66982)),x66984))+E(f317(f317(f144(f905(x66981,x66982),x66981),f241(x66981,x66982)),f317(f317(f171(x66981,x66982),x66983),x66984)),x66983) % 169.26/169.08 [6703]P1(f317(f150(x67031,x67032),x67033))+~P1(f317(f150(x67031,x67032),f317(f317(f141(x67031),x67034),x67033))) % 169.26/169.08 [6704]P1(f317(f150(x67041,x67042),x67043))+~P1(f317(f150(x67041,x67042),f317(f317(f124(x67041),x67044),x67043))) % 169.26/169.08 [6705]P1(f317(f150(x67051,x67052),x67053))+~P1(f317(f150(x67051,x67052),f317(f317(f124(x67051),x67053),x67054))) % 169.26/169.08 [6710]~P7(x67101)+E(f40(x67101,f317(f317(f23(x67101),x67102),f40(x67101,x67103,x67104)),x67104),f40(x67101,f317(f317(f23(x67101),x67102),x67103),x67104)) % 169.26/169.08 [6712]~P6(x67121)+E(f40(x67121,f317(f317(f75(x67121),x67122),f40(x67121,x67123,x67124)),x67124),f40(x67121,f317(f317(f75(x67121),x67122),x67123),x67124)) % 169.26/169.08 [6713]~P6(x67131)+E(f40(x67131,f317(f317(f74(x67131),x67132),f40(x67131,x67133,x67134)),x67134),f40(x67131,f317(f317(f74(x67131),x67132),x67133),x67134)) % 169.26/169.08 [6795]~P4(x67951)+E(f317(f317(f92(f906(x67951,a894)),f293(x67951,x67952,x67953)),f317(f291(x67951),x67954)),f293(x67951,x67952,f317(f317(f228(x67951),x67953),x67954))) % 169.26/169.08 [6796]~P4(x67961)+E(f317(f317(f92(f906(x67961,a894)),f293(x67961,x67962,x67963)),f317(f273(x67961),x67964)),f293(x67961,f317(f317(f223(x67961),x67962),x67964),x67963)) % 169.26/169.08 [6799]~E(f317(f179(f898(x67991)),x67993),f317(f179(f898(x67992)),x67994))+E(f317(f317(f171(x67991,x67992),f317(f158(x67991),x67993)),f317(f158(x67992),x67994)),f317(f158(f905(x67991,x67992)),f317(f317(f171(x67991,x67992),x67993),x67994))) % 169.26/169.08 [6811]E(x68111,f317(f317(f23(a897),f317(f179(f898(x68112)),x68113)),f72(a897)))+E(f104(x68112,f317(f317(f149(x68112,x68113),x68111),x68114)),f317(f317(f149(x68112,f104(x68112,x68113)),x68111),x68114)) % 169.26/169.08 [6826]~P1(f317(f127(x68262),x68264))+P1(f317(f127(f905(x68261,x68262)),f317(f317(f171(x68261,x68262),x68263),x68264))) % 169.26/169.08 [6827]~P1(f317(f127(x68271),x68273))+P1(f317(f127(f905(x68271,x68272)),f317(f317(f171(x68271,x68272),x68273),x68274))) % 169.26/169.08 [7098]E(f317(f317(f30(a897),x70981),x70982),x70983)+~P1(f317(f43(x70981,x70982),f317(f317(f242(a897,a897),x70983),x70984))) % 169.26/169.08 [7122]E(f40(a897,x71221,x71222),x71223)+~P1(f317(f43(x71221,x71222),f317(f317(f242(a897,a897),x71224),x71223))) % 169.26/169.08 [7125]P1(f317(f127(x71251),x71252))+~P1(f317(f127(x71253),f317(f317(f144(x71251,x71253),x71254),x71252))) % 169.26/169.08 [7208]E(f160(x72081,x72082,f317(f317(f124(x72081),x72083),x72084)),f317(f317(f124(x72081),f160(x72081,x72082,x72083)),x72084))+~P1(f317(f317(f319(x72081),x72082),f317(f162(x72081),x72083))) % 169.26/169.08 [7301]~P7(x73011)+E(f40(x73011,f317(f317(f23(x73011),f40(x73011,x73012,x73013)),x73014),x73013),f40(x73011,f317(f317(f23(x73011),x73012),x73014),x73013)) % 169.26/169.08 [7304]~P6(x73041)+E(f40(x73041,f317(f317(f74(x73041),f40(x73041,x73042,x73043)),x73044),x73043),f40(x73041,f317(f317(f74(x73041),x73042),x73044),x73043)) % 169.26/169.08 [7305]~P6(x73051)+E(f40(x73051,f317(f317(f75(x73051),f40(x73051,x73052,x73053)),x73054),x73053),f40(x73051,f317(f317(f75(x73051),x73052),x73054),x73053)) % 169.26/169.08 [7499]~E(x74991,f317(f317(f141(x74992),x74993),x74994))+~P1(f317(f317(f224(a897),f317(f179(f898(x74992)),x74991)),f317(f179(f898(x74992)),x74994))) % 169.26/169.08 [7703]P27(x77031,x77032,x77033,f317(f162(x77031),x77034))+~P1(f317(f127(x77032),f317(f317(f144(x77031,x77032),x77033),x77034))) % 169.26/169.08 [7778]~P1(f317(f317(f224(f906(x77781,a894)),x77782),x77784))+P1(f317(f317(f224(f906(x77781,a894)),x77782),f317(f317(f299(x77781),x77783),x77784))) % 169.26/169.08 [7814]~P7(x78141)+E(f40(x78141,f317(f317(f23(x78141),f40(x78141,x78142,x78143)),f40(x78141,x78144,x78143)),x78143),f40(x78141,f317(f317(f23(x78141),x78142),x78144),x78143)) % 169.26/169.08 [7815]~P6(x78151)+E(f40(x78151,f317(f317(f74(x78151),f40(x78151,x78152,x78153)),f40(x78151,x78154,x78153)),x78153),f40(x78151,f317(f317(f74(x78151),x78152),x78154),x78153)) % 169.26/169.08 [7816]~P6(x78161)+E(f40(x78161,f317(f317(f75(x78161),f40(x78161,x78162,x78163)),f40(x78161,x78164,x78163)),x78163),f40(x78161,f317(f317(f75(x78161),x78162),x78164),x78163)) % 169.26/169.08 [7920]~E(f317(x79204,f435(x79204,x79203,x79201,x79202)),f178(f906(x79202,a894)))+E(f317(f317(f34(x79201,f906(x79202,a894)),x79203),x79204),f178(f906(x79202,a894))) % 169.26/169.08 [7921]~E(f317(x79214,f580(x79214,x79213,x79211,x79212)),f232(f906(x79212,a894)))+E(f317(f317(f35(x79211,f906(x79212,a894)),x79213),x79214),f232(f906(x79212,a894))) % 169.26/169.08 [7922]~E(f317(x79224,f444(x79224,x79223,x79222,x79221)),f178(f906(x79222,a894)))+E(f317(f317(f34(x79221,f906(x79222,a894)),x79223),x79224),f178(f906(x79222,a894))) % 169.26/169.08 [7923]~E(f317(x79234,f584(x79234,x79233,x79232,x79231)),f232(f906(x79232,a894)))+E(f317(f317(f35(x79231,f906(x79232,a894)),x79233),x79234),f232(f906(x79232,a894))) % 169.26/169.08 [8313]P1(f317(x83131,x83132))+~P1(f317(f317(f319(x83133),x83132),f317(f317(f92(f906(x83133,a894)),x83134),f317(f252(x83133),x83131)))) % 169.26/169.08 [8350]~P1(f317(f317(f224(f906(x83501,a894)),x83503),x83504))+P1(f317(f317(f224(f906(x83501,a894)),f317(f317(f299(x83501),x83502),x83503)),f317(f317(f299(x83501),x83502),x83504))) % 169.26/169.08 [8530]P1(f317(x85302,x85303))+E(f317(f317(f128(x85301),f317(f179(f898(x85301)),f167(x85301,x85302,f317(f317(f141(x85301),x85303),x85304)))),f317(f317(f141(x85301),x85303),x85304)),f317(f317(f141(x85301),x85303),x85304)) % 169.26/169.08 [8636]~P1(f317(f317(f225(a897),f317(x86364,x86362)),f317(x86364,x86363)))+P1(f317(f317(f319(f905(x86361,x86361)),f317(f317(f242(x86361,x86361),x86362),x86363)),f317(f317(f278(a897,x86361),a230),x86364))) % 169.26/169.08 [8732]~P1(f317(x87322,f719(x87324,x87322,x87323,x87321)))+E(f167(x87321,x87322,f317(f317(f124(x87321),x87323),x87324)),f317(f317(f124(x87321),x87323),f167(x87321,x87322,x87324))) % 169.26/169.08 [8809]P27(f898(x88091),f898(x88092),f317(f144(x88091,x88092),x88093),x88094)+~P27(x88091,x88092,x88093,f31(f906(x88091,a894),f317(f300(f898(x88091),f906(x88091,a894),f162(x88091)),x88094))) % 169.26/169.08 [8884]~P1(f317(x88842,x88843))+E(f317(f317(f128(x88841),f317(f179(f898(x88841)),f167(x88841,x88842,f317(f317(f141(x88841),x88843),x88844)))),f317(f317(f141(x88841),x88843),x88844)),f317(f317(f128(x88841),f317(f179(f898(x88841)),f167(x88841,x88842,x88844))),x88844)) % 169.26/169.08 [8925]~E(x89252,x89253)+E(f317(f126(x89251,f317(f317(f8(a894,a894,x89251),a312),f317(a314,x89252))),f317(f317(f141(x89251),x89253),x89254)),f317(f126(x89251,f317(f317(f8(a894,a894,x89251),a312),f317(a314,x89252))),x89254)) % 169.26/169.08 [8935]E(f317(f317(f34(x89351,f906(x89352,a894)),x89353),x89354),f178(f906(x89352,a894)))+P1(f317(f317(f319(x89351),f435(x89354,x89353,x89351,x89352)),x89353)) % 169.26/169.08 [8936]E(f317(f317(f35(x89361,f906(x89362,a894)),x89363),x89364),f232(f906(x89362,a894)))+P1(f317(f317(f319(x89361),f580(x89364,x89363,x89361,x89362)),x89363)) % 169.26/169.08 [8937]E(f317(f317(f34(x89371,f906(x89372,a894)),x89373),x89374),f178(f906(x89372,a894)))+P1(f317(f317(f319(x89371),f444(x89374,x89373,x89372,x89371)),x89373)) % 169.26/169.08 [8938]E(f317(f317(f35(x89381,f906(x89382,a894)),x89383),x89384),f232(f906(x89382,a894)))+P1(f317(f317(f319(x89381),f584(x89384,x89383,x89382,x89381)),x89383)) % 169.26/169.08 [8976]P1(f317(f317(f225(a897),f317(x89761,x89762)),f317(x89761,x89763)))+~P1(f317(f317(f319(f905(x89764,x89764)),f317(f317(f242(x89764,x89764),x89762),x89763)),f317(f317(f278(a897,x89764),a230),x89761))) % 169.26/169.08 [9002]E(f167(x90021,x90022,f317(f317(f124(x90021),x90023),x90024)),f317(f317(f124(x90021),x90023),f167(x90021,x90022,x90024)))+P1(f317(f317(f319(x90021),f719(x90024,x90022,x90023,x90021)),f317(f162(x90021),x90023))) % 169.26/169.08 [9053]~P28(x90531,x90532,x90533,f232(f906(x90531,a894)),f232(f906(x90532,a894)))+E(f317(f300(x90531,x90532,x90533),f317(f73(f906(x90531,a894)),x90534)),f317(f73(f906(x90532,a894)),f317(f300(x90531,x90532,x90533),x90534))) % 169.26/169.08 [9157]P1(f317(f317(f319(x91571),f432(x91572,x91573,x91574,x91571)),x91573))+~P1(f317(f317(f319(f906(x91571,a894)),x91574),f317(f317(f55(x91571),x91573),x91572))) % 169.26/169.08 [9160]E(x91601,x91602)+~P1(f317(f317(f319(f905(x91603,x91603)),f317(f317(f242(x91603,x91603),x91601),x91602)),f317(f317(f173(f905(x91603,x91603),a894),f2(a897)),x91604))) % 169.26/169.08 [9241]E(f317(f275(x92411,x92411,x92412),f317(f317(f299(x92411),f432(x92412,x92413,x92414,x92411)),f178(f906(x92411,a894)))),x92414)+~P1(f317(f317(f319(f906(x92411,a894)),x92414),f317(f317(f55(x92411),x92413),x92412))) % 169.26/169.08 [9246]~P1(f317(f317(f319(f905(x92461,x92461)),f317(f317(f242(x92461,x92461),x92463),x92462)),f297(x92461,x92464)))+P1(f317(f317(f319(f905(x92461,x92461)),f317(f317(f242(x92461,x92461),x92462),x92463)),f297(x92461,f317(f276(x92461,x92461),x92464)))) % 169.26/169.08 [9259]~P6(x92591)+E(f317(f317(f74(x92591),f317(f317(f74(x92591),f317(f317(f75(x92591),x92592),f317(f317(f30(x92591),x92593),x92592))),f40(x92591,x92593,x92592))),x92594),f317(f317(f74(x92591),x92593),x92594)) % 169.26/169.08 [9270]~P1(f317(f317(f319(x92701),x92703),x92704))+P1(f317(f317(f319(f906(x92701,a894)),f317(f275(x92701,x92701,x92702),f317(f317(f299(x92701),x92703),f178(f906(x92701,a894))))),f317(f317(f55(x92701),x92704),x92702))) % 169.26/169.08 [9282]P1(f317(f317(f319(f905(x92821,x92821)),f317(f317(f242(x92821,x92821),x92822),x92823)),f297(x92821,x92824)))+~P1(f317(f317(f319(f905(x92821,x92821)),f317(f317(f242(x92821,x92821),x92823),x92822)),f297(x92821,f317(f276(x92821,x92821),x92824)))) % 169.26/169.08 [9371]E(f317(f317(f149(x93711,f317(f158(x93711),x93712)),f317(f317(f23(a897),f317(f317(f23(a897),f317(f179(f898(x93711)),x93712)),x93713)),f72(a897))),x93714),f317(f158(x93711),f317(f317(f149(x93711,x93712),x93713),x93714)))+~P1(f317(f317(f225(a897),x93713),f317(f179(f898(x93711)),x93712))) % 169.26/169.08 [9374]~P1(f317(x93742,f714(x93744,x93742,x93743,x93741)))+E(f317(f317(f128(x93741),f317(f179(f898(x93741)),f167(x93741,x93742,f317(f317(f124(x93741),x93743),x93744)))),f317(f317(f124(x93741),x93743),x93744)),f317(f317(f128(x93741),f317(f179(f898(x93741)),f167(x93741,x93742,x93744))),x93744)) % 169.26/169.08 [9421]~P27(x94212,x94211,x94213,f232(f906(x94212,a894)))+P1(f317(f317(f224(f906(x94211,a894)),f317(f300(x94212,x94211,x94213),f317(f73(f906(x94212,a894)),x94214))),f317(f73(f906(x94211,a894)),f317(f300(x94212,x94211,x94213),x94214)))) % 169.26/169.08 [9433]~P8(x94331)+E(f317(f132(x94331,x94332,f317(f7(x94332,x94331,x94331),f317(f317(f8(x94331,f906(x94331,x94331),x94332),f91(x94331)),x94333)),f178(x94331)),x94334),f317(f317(f34(x94332,x94331),f317(f162(x94332),x94334)),x94333)) % 169.26/169.08 [9434]~P8(x94341)+E(f317(f132(x94341,x94342,f317(f7(x94342,x94341,x94341),f317(f317(f8(x94341,f906(x94341,x94341),x94342),f92(x94341)),x94343)),f232(x94341)),x94344),f317(f317(f35(x94342,x94341),f317(f162(x94342),x94344)),x94343)) % 169.26/169.08 [9444]E(f317(f317(f128(x94441),f317(f179(f898(x94441)),f167(x94441,x94442,f317(f317(f124(x94441),x94443),x94444)))),f317(f317(f124(x94441),x94443),x94444)),f317(f317(f128(x94441),f317(f179(f898(x94441)),f167(x94441,x94442,x94444))),x94444))+P1(f317(f317(f319(x94441),f714(x94444,x94442,x94443,x94441)),f317(f162(x94441),x94443))) % 169.26/169.08 [9514]~P1(f317(f317(f319(f905(f898(x95144),f898(x95144))),f317(f317(f242(f898(x95144),f898(x95144)),x95143),x95142)),f147(x95144,x95141)))+P1(f317(f317(f225(a897),f647(x95141,x95142,x95143,x95144)),f317(f179(f898(x95144)),x95143))) % 169.26/169.08 [9515]~P6(x95151)+E(f317(f317(f74(x95151),f317(f317(f74(x95151),f317(f317(f75(x95151),f317(f317(f30(x95151),x95152),x95153)),x95153)),f40(x95151,x95152,x95153))),x95154),f317(f317(f74(x95151),x95152),x95154)) % 169.26/169.08 [9544]~P1(f317(f317(f319(f905(f898(x95441),f898(x95441))),f317(f317(f242(f898(x95441),f898(x95441)),x95442),x95443)),f317(f276(f898(x95441),f898(x95441)),f147(x95441,x95444))))+P1(f317(f317(f319(f905(f898(x95441),f898(x95441))),f317(f317(f242(f898(x95441),f898(x95441)),x95442),x95443)),f147(x95441,f317(f276(x95441,x95441),x95444)))) % 169.26/169.08 [9545]P1(f317(f317(f319(f905(f898(x95451),f898(x95451))),f317(f317(f242(f898(x95451),f898(x95451)),x95452),x95453)),f317(f276(f898(x95451),f898(x95451)),f147(x95451,x95454))))+~P1(f317(f317(f319(f905(f898(x95451),f898(x95451))),f317(f317(f242(f898(x95451),f898(x95451)),x95452),x95453)),f147(x95451,f317(f276(x95451,x95451),x95454)))) % 169.26/169.08 [9589]~P1(f317(f317(f319(x95891),x95893),f317(f254(x95891,x95892),x95894)))+P1(f317(f317(f319(f905(x95891,x95892)),f317(f317(f242(x95891,x95892),x95893),f506(x95894,x95892,x95893,x95891))),x95894)) % 169.26/169.08 [9590]~P1(f317(f317(f319(x95901),x95903),f317(f254(x95901,x95902),x95904)))+P1(f317(f317(f319(f905(x95901,x95902)),f317(f317(f242(x95901,x95902),x95903),f507(x95904,x95902,x95903,x95901))),x95904)) % 169.26/169.08 [9751]~P1(f317(f317(f319(f905(x97511,x97511)),f317(f317(f242(x97511,x97511),x97512),x97514)),f317(f317(f279(x97511,x97511,x97511),x97513),f297(x97511,x97513))))+P1(f317(f317(f319(f905(x97511,x97511)),f317(f317(f242(x97511,x97511),x97512),f569(x97513,x97514,x97512,x97511))),x97513)) % 169.26/169.08 [9910]P14(x99101,x99102,x99103,x99104)+P1(f317(f317(f319(f905(x99101,x99101)),f317(f317(f242(x99101,x99101),f823(x99102,x99104,x99103,x99101)),f822(x99102,x99104,x99103,x99101))),x99103)) % 169.26/169.08 [9917]~P1(f317(f317(f319(f905(x99172,x99171)),x99174),f317(f276(x99171,x99172),x99173)))+P1(f317(f317(f319(f905(x99171,x99172)),f317(f317(f242(x99171,x99172),f621(x99173,x99174,x99171,x99172)),f620(x99173,x99174,x99171,x99172))),x99173)) % 169.26/169.08 [9941]~P1(f317(f317(f319(f905(f898(x99411),f898(x99411))),f317(f317(f242(f898(x99411),f898(x99411)),x99414),x99413)),f147(x99411,x99412)))+P1(f317(f317(f319(f905(x99411,x99411)),f317(f317(f242(x99411,x99411),f664(x99412,x99413,x99414,x99411)),f665(x99412,x99413,x99414,x99411))),x99412)) % 169.26/169.08 [10031]~P1(f317(f317(f319(f905(f898(x100311),f898(x100311))),f317(f317(f242(f898(x100311),f898(x100311)),x100312),x100314)),f147(x100311,x100313)))+P1(f317(f317(f319(f905(x100311,x100311)),f317(f317(f242(x100311,x100311),f317(f317(f154(x100311),x100312),f647(x100313,x100314,x100312,x100311))),f648(x100313,x100314,x100312,x100311))),x100313)) % 169.26/169.08 [10051]~P1(f317(f28(x100512),x100514))+E(f317(f317(f317(f59(f906(x100511,a894),x100512,f91(f906(x100511,a894))),f317(f317(f7(x100512,f906(x100511,a894),f906(x100511,a894)),f317(f317(f8(x100511,f906(f906(x100511,a894),f906(x100511,a894)),x100512),f299(x100511)),x100513)),f178(f906(x100511,a894)))),f178(f906(x100511,a894))),x100514),f317(f300(x100512,x100511,x100513),x100514)) % 169.26/169.08 [10162]~P27(x101621,x101622,x101623,f232(f906(x101621,a894)))+P1(f317(f317(f224(f906(x101621,a894)),f317(f301(x101621,x101622,x101623),f317(f317(f299(x101622),x101624),f178(f906(x101622,a894))))),f317(f317(f299(x101621),f79(x101621,f317(f317(f7(x101621,x101622,a894),f317(f317(f8(x101622,f906(x101622,a894),x101621),a314),x101623)),x101624))),f178(f906(x101621,a894))))) % 169.26/169.08 [5698]~E(f317(f317(f124(x56981),x56982),x56984),x56983)+E(f317(f317(f165(x56981),f317(f179(f898(x56981)),x56982)),x56983),x56982) % 169.26/169.08 [5699]~E(f317(f317(f124(x56992),x56993),x56991),x56994)+E(x56991,f317(f317(f128(x56992),f317(f179(f898(x56992)),x56993)),x56994)) % 169.26/169.08 [5710]~E(x57104,f2(a897))+E(f317(f317(f154(x57101),f317(f317(f141(x57101),x57102),x57103)),x57104),x57102) % 169.26/169.08 [6266]~P112(x62661)+E(f317(f317(f234(x62661),f317(f317(f234(x62661),x62662),x62663)),x62664),f317(f317(f234(x62661),x62662),f317(f317(f75(a897),x62663),x62664))) % 169.26/169.08 [6267]~P84(x62671)+E(f317(f317(f234(x62671),f317(f317(f234(x62671),x62672),x62673)),x62674),f317(f317(f234(x62671),x62672),f317(f317(f75(a897),x62673),x62674))) % 169.26/169.08 [6275]E(x62751,f2(a897))+E(f317(f317(f154(x62752),f317(f317(f141(x62752),x62753),x62754)),x62751),f317(f317(f154(x62752),x62754),f317(f317(f23(a897),x62751),f72(a897)))) % 169.26/169.08 [6304]~P122(x63041)+E(f317(f317(f281(x63041),f317(f317(f75(x63041),x63042),x63043)),x63044),f317(f317(f75(x63041),x63042),f317(f317(f281(x63041),x63043),x63044))) % 169.26/169.08 [6305]~P73(x63051)+E(f317(f317(f74(x63051),f317(f317(f74(x63051),x63052),x63053)),x63054),f317(f317(f74(x63051),x63052),f317(f317(f74(x63051),x63053),x63054))) % 169.26/169.08 [6306]~P112(x63061)+E(f317(f317(f74(x63061),f317(f317(f74(x63061),x63062),x63063)),x63064),f317(f317(f74(x63061),x63062),f317(f317(f74(x63061),x63063),x63064))) % 169.26/169.08 [6307]~P112(x63071)+E(f317(f317(f75(x63071),f317(f317(f75(x63071),x63072),x63073)),x63074),f317(f317(f75(x63071),x63072),f317(f317(f75(x63071),x63073),x63074))) % 169.26/169.08 [6308]~P74(x63081)+E(f317(f317(f75(x63081),f317(f317(f75(x63081),x63082),x63083)),x63084),f317(f317(f75(x63081),x63082),f317(f317(f75(x63081),x63083),x63084))) % 169.26/169.08 [6311]~P4(x63111)+E(f317(f317(f228(x63111),f317(f317(f228(x63111),x63112),x63113)),x63114),f317(f317(f228(x63111),x63112),f317(f317(f228(x63111),x63113),x63114))) % 169.26/169.08 [6313]~P4(x63131)+E(f317(f317(f223(x63131),f317(f317(f223(x63131),x63132),x63133)),x63134),f317(f317(f223(x63131),x63132),f317(f317(f223(x63131),x63133),x63134))) % 169.26/169.08 [6315]~P100(x63151)+E(f317(f317(f91(x63151),f317(f317(f91(x63151),x63152),x63153)),x63154),f317(f317(f91(x63151),x63152),f317(f317(f91(x63151),x63153),x63154))) % 169.26/169.09 [6316]~P101(x63161)+E(f317(f317(f91(x63161),f317(f317(f91(x63161),x63162),x63163)),x63164),f317(f317(f91(x63161),x63162),f317(f317(f91(x63161),x63163),x63164))) % 169.26/169.09 [6317]~P101(x63171)+E(f317(f317(f92(x63171),f317(f317(f92(x63171),x63172),x63173)),x63174),f317(f317(f92(x63171),x63172),f317(f317(f92(x63171),x63173),x63174))) % 169.26/169.09 [6319]~P106(x63191)+E(f317(f317(f92(x63191),f317(f317(f92(x63191),x63192),x63193)),x63194),f317(f317(f92(x63191),x63192),f317(f317(f92(x63191),x63193),x63194))) % 169.26/169.09 [6328]~P6(x63281)+E(f40(x63281,f317(f317(f74(x63281),x63282),f317(f317(f75(x63281),x63283),x63284)),x63284),f40(x63281,x63282,x63284)) % 169.26/169.09 [6329]~P6(x63291)+E(f40(x63291,f317(f317(f74(x63291),x63292),f317(f317(f75(x63291),x63293),x63294)),x63293),f40(x63291,x63292,x63293)) % 169.26/169.09 [6471]E(f317(f317(f154(x64711),f317(f317(f165(x64711),x64712),x64713)),x64714),f317(f317(f154(x64711),x64713),x64714))+~P1(f317(f317(f225(a897),x64714),x64712)) % 169.26/169.09 [6652]~E(x66522,x66524)+P1(f317(f317(f162(x66521),f317(f317(f141(x66521),x66522),x66523)),x66524)) % 169.26/169.09 [6654]~P112(x66541)+E(f317(f317(f74(x66541),f317(f317(f74(x66541),x66542),x66543)),x66544),f317(f317(f74(x66541),f317(f317(f74(x66541),x66542),x66544)),x66543)) % 169.26/169.09 [6655]~P112(x66551)+E(f317(f317(f75(x66551),f317(f317(f75(x66551),x66552),x66553)),x66554),f317(f317(f75(x66551),f317(f317(f75(x66551),x66552),x66554)),x66553)) % 169.26/169.09 [6716]~P144(x67162)+E(f317(f317(f6(x67161,x67162),f317(f16(x67162,x67161),x67163)),x67164),f317(f317(f75(x67162),f317(f90(x67162),f317(f29(x67161),x67164))),x67163)) % 169.26/169.09 [6892]E(f317(f317(f92(f906(x68921,a894)),f317(f317(f299(x68921),x68922),x68923)),x68924),f317(f317(f92(f906(x68921,a894)),x68923),x68924))+P1(f317(f317(f319(x68921),x68922),x68924)) % 169.26/169.09 [6961]~P81(x69611)+E(f317(f317(f228(x69611),f317(f317(f23(x69611),x69612),x69613)),f317(f317(f23(x69611),x69614),x69613)),f317(f317(f23(x69611),f317(f317(f228(x69611),x69612),x69614)),x69613)) % 169.26/169.09 [6962]~P81(x69621)+E(f317(f317(f223(x69621),f317(f317(f23(x69621),x69622),x69623)),f317(f317(f23(x69621),x69624),x69623)),f317(f317(f23(x69621),f317(f317(f223(x69621),x69622),x69624)),x69623)) % 169.26/169.09 [6963]~P87(x69631)+E(f317(f317(f228(x69631),f317(f317(f74(x69631),x69632),x69633)),f317(f317(f74(x69631),x69634),x69633)),f317(f317(f74(x69631),f317(f317(f228(x69631),x69632),x69634)),x69633)) % 169.26/169.09 [6964]~P87(x69641)+E(f317(f317(f223(x69641),f317(f317(f74(x69641),x69642),x69643)),f317(f317(f74(x69641),x69644),x69643)),f317(f317(f74(x69641),f317(f317(f223(x69641),x69642),x69644)),x69643)) % 169.26/169.09 [6966]~P113(x69661)+E(f317(f317(f74(x69661),f317(f317(f75(x69661),x69662),x69663)),f317(f317(f75(x69661),x69664),x69663)),f317(f317(f75(x69661),f317(f317(f74(x69661),x69662),x69664)),x69663)) % 169.26/169.09 [6967]~P112(x69671)+E(f317(f317(f75(x69671),f317(f317(f234(x69671),x69672),x69673)),f317(f317(f234(x69671),x69674),x69673)),f317(f317(f234(x69671),f317(f317(f75(x69671),x69672),x69674)),x69673)) % 169.26/169.09 [6968]~P79(x69681)+E(f317(f317(f75(x69681),f317(f317(f234(x69681),x69682),x69683)),f317(f317(f234(x69681),x69684),x69683)),f317(f317(f234(x69681),f317(f317(f75(x69681),x69682),x69684)),x69683)) % 169.26/169.09 [6969]~P64(x69691)+E(f317(f317(f281(x69691),f317(f317(f234(x69691),x69692),x69693)),f317(f317(f234(x69691),x69694),x69693)),f317(f317(f234(x69691),f317(f317(f281(x69691),x69692),x69694)),x69693)) % 169.26/169.09 [6970]~P4(x69701)+E(f317(f317(f223(x69701),f317(f317(f228(x69701),x69702),x69703)),f317(f317(f228(x69701),x69704),x69703)),f317(f317(f228(x69701),f317(f317(f223(x69701),x69702),x69704)),x69703)) % 169.26/169.09 [6971]~P122(x69711)+E(f317(f317(f23(x69711),f317(f317(f281(x69711),x69712),x69713)),f317(f317(f281(x69711),x69714),x69713)),f317(f317(f281(x69711),f317(f317(f23(x69711),x69712),x69714)),x69713)) % 169.26/169.09 [6972]~P122(x69721)+E(f317(f317(f74(x69721),f317(f317(f281(x69721),x69722),x69723)),f317(f317(f281(x69721),x69724),x69723)),f317(f317(f281(x69721),f317(f317(f74(x69721),x69722),x69724)),x69723)) % 169.26/169.09 [6973]~P4(x69731)+E(f317(f317(f228(x69731),f317(f317(f223(x69731),x69732),x69733)),f317(f317(f223(x69731),x69734),x69733)),f317(f317(f223(x69731),f317(f317(f228(x69731),x69732),x69734)),x69733)) % 169.26/169.09 [6974]~P104(x69741)+E(f317(f317(f92(x69741),f317(f317(f91(x69741),x69742),x69743)),f317(f317(f91(x69741),x69744),x69743)),f317(f317(f91(x69741),f317(f317(f92(x69741),x69742),x69744)),x69743)) % 169.26/169.09 [6975]~P104(x69751)+E(f317(f317(f91(x69751),f317(f317(f92(x69751),x69752),x69753)),f317(f317(f92(x69751),x69754),x69753)),f317(f317(f92(x69751),f317(f317(f91(x69751),x69752),x69754)),x69753)) % 169.26/169.09 [6976]~P112(x69761)+E(f317(f317(f74(x69761),f317(f317(f75(x69761),x69762),x69763)),f317(f317(f75(x69761),x69764),x69763)),f317(f317(f75(x69761),f317(f317(f74(x69761),x69762),x69764)),x69763)) % 169.26/169.09 [7010]E(f317(f317(f149(x70101,x70102),x70103),x70104),x70102)+~P1(f317(f317(f224(a897),f317(f179(f898(x70101)),x70102)),x70103)) % 169.26/169.09 [7037]~P1(f317(x70373,x70374))+P1(f317(f317(f317(f91(f906(x70371,a894)),x70372),x70373),x70374)) % 169.26/169.09 [7039]~P1(f317(x70392,x70394))+P1(f317(f317(f317(f91(f906(x70391,a894)),x70392),x70393),x70394)) % 169.26/169.09 [7059]E(f317(f317(f154(x70591),f317(f317(f124(x70591),x70592),x70593)),x70594),f317(f317(f154(x70591),x70592),x70594))+~P1(f317(f317(f225(a897),x70594),f317(f179(f898(x70591)),x70592))) % 169.26/169.09 [7070]E(f317(f317(f23(f906(x70701,a894)),f317(f317(f299(x70701),x70702),x70703)),x70704),f317(f317(f23(f906(x70701,a894)),x70703),x70704))+~P1(f317(f317(f319(x70701),x70702),x70704)) % 169.26/169.09 [7111]~E(f129(a897,f317(f292(a897,x71111),x71112)),f317(f317(f141(a897),x71114),x71113))+E(f129(a897,f317(f292(a897,f317(f317(f74(a897),x71111),f72(a897))),x71112)),x71113) % 169.26/169.09 [7133]~P1(f317(f317(f162(x71331),x71333),x71334))+P1(f317(f317(f162(x71331),f317(f317(f141(x71331),x71332),x71333)),x71334)) % 169.26/169.09 [7183]E(x71831,f2(a897))+E(f317(f317(f141(x71832),x71833),f317(f317(f165(x71832),f317(f317(f23(a897),x71831),f72(a897))),x71834)),f317(f317(f165(x71832),x71831),f317(f317(f141(x71832),x71833),x71834))) % 169.26/169.09 [7285]E(f317(f317(f154(x72851),x72852),f317(f317(f23(a897),x72853),f317(f179(f898(x72851)),x72854))),f317(f317(f154(x72851),f317(f317(f124(x72851),x72854),x72852)),x72853))+P1(f317(f317(f225(a897),x72853),f317(f179(f898(x72851)),x72854))) % 169.26/169.09 [7313]E(f317(f317(f92(f906(x73131,a894)),x73132),f317(f317(f299(x73131),x73133),x73134)),f317(f317(f299(x73131),x73133),f317(f317(f92(f906(x73131,a894)),x73132),x73134)))+~P1(f317(f317(f319(x73131),x73133),x73132)) % 169.26/169.09 [7351]E(f317(f317(f154(x73511),f317(f317(f149(x73511,x73512),x73513),x73514)),x73513),x73514)+~P1(f317(f317(f225(a897),x73513),f317(f179(f898(x73511)),x73512))) % 169.26/169.09 [7373]E(x73731,f178(f906(x73732,a894)))+E(f317(f300(f905(x73733,x73732),x73733,f241(x73733,x73732)),f317(f317(f244(x73733,x73732),x73734),f317(f16(f906(x73732,a894),x73733),x73731))),x73734) % 169.26/169.09 [7374]E(x73741,f178(f906(x73742,a894)))+E(f317(f300(f905(x73742,x73743),x73743,f246(x73742,x73743)),f317(f317(f244(x73742,x73743),x73741),f317(f16(f906(x73743,a894),x73742),x73744))),x73744) % 169.26/169.09 [7449]E(f317(f317(f23(f906(x74491,a894)),f317(f317(f299(x74491),x74492),x74493)),x74494),f317(f317(f299(x74491),x74492),f317(f317(f23(f906(x74491,a894)),x74493),x74494)))+P1(f317(f317(f319(x74491),x74492),x74494)) % 169.26/169.09 [7485]~E(x74854,f178(f906(x74852,a894)))+E(f317(f300(f905(x74851,x74852),x74851,f241(x74851,x74852)),f317(f317(f244(x74851,x74852),x74853),f317(f16(f906(x74852,a894),x74851),x74854))),f178(f906(x74851,a894))) % 169.26/169.09 [7486]~E(x74863,f178(f906(x74861,a894)))+E(f317(f300(f905(x74861,x74862),x74862,f246(x74861,x74862)),f317(f317(f244(x74861,x74862),x74863),f317(f16(f906(x74862,a894),x74861),x74864))),f178(f906(x74862,a894))) % 169.26/169.09 [7538]~P1(f317(f317(f319(x75381),x75382),x75384))+P1(f317(f317(f319(x75381),x75382),f317(f317(f91(f906(x75381,a894)),x75383),x75384))) % 169.26/169.09 [7541]~P1(f317(f317(f319(x75411),x75412),x75413))+P1(f317(f317(f319(x75411),x75412),f317(f317(f91(f906(x75411,a894)),x75413),x75414))) % 169.26/169.09 [7559]E(f317(f317(f92(f906(x75591,a894)),f317(f317(f299(x75591),x75592),x75593)),x75594),f317(f317(f299(x75591),x75592),f317(f317(f92(f906(x75591,a894)),x75593),x75594)))+~P1(f317(f317(f319(x75591),x75592),x75594)) % 169.26/169.09 [7836]P1(f317(x78361,x78362))+~P1(f317(f317(f317(f92(f906(x78363,a894)),x78364),x78361),x78362)) % 169.26/169.09 [7837]P1(f317(x78371,x78372))+~P1(f317(f317(f317(f92(f906(x78373,a894)),x78371),x78374),x78372)) % 169.26/169.09 [7838]E(f317(f317(f6(x78381,a897),x78382),f317(f317(f23(f906(x78381,a894)),x78383),f317(f317(f299(x78381),x78384),f178(f906(x78381,a894))))),f317(f317(f6(x78381,a897),x78382),x78383))+P1(f317(f317(f319(x78381),x78384),x78383)) % 169.26/169.09 [7843]~P76(x78431)+E(f317(f155(x78431),f317(f317(f144(a897,x78431),x78432),f129(a897,f317(f292(a897,x78433),x78434)))),f317(f317(f6(a897,x78431),x78432),f317(f162(a897),f129(a897,f317(f292(a897,x78433),x78434))))) % 169.26/169.09 [7844]~P76(x78441)+E(f317(f317(f6(a897,x78441),x78442),f317(f162(a897),f129(a897,f317(f292(a897,x78443),x78444)))),f317(f155(x78441),f317(f317(f144(a897,x78441),x78442),f129(a897,f317(f292(a897,x78443),x78444))))) % 169.26/169.09 [7958]~E(x79583,x79584)+P1(f317(f56(x79581,x79582,f317(f317(f299(x79581),x79583),f178(f906(x79581,a894)))),x79584)) % 169.26/169.09 [8055]P1(f317(f317(f319(x80551),x80552),f317(f162(x80551),x80553)))+~P1(f317(f317(f319(x80551),x80552),f317(f162(x80551),f317(f317(f165(x80551),x80554),x80553)))) % 169.26/169.09 [8056]P1(f317(f317(f319(x80561),x80562),f317(f162(x80561),x80563)))+~P1(f317(f317(f319(x80561),x80562),f317(f162(x80561),f317(f317(f128(x80561),x80564),x80563)))) % 169.26/169.09 [8126]P1(f317(f317(f319(x81261),x81262),x81263))+~P1(f317(f317(f319(x81261),x81262),f317(f317(f23(f906(x81261,a894)),x81263),x81264))) % 169.26/169.09 [8128]P1(f317(f317(f319(x81281),x81282),x81283))+~P1(f317(f317(f319(x81281),x81282),f317(f317(f92(f906(x81281,a894)),x81284),x81283))) % 169.26/169.09 [8131]P1(f317(f317(f319(x81311),x81312),x81313))+~P1(f317(f317(f319(x81311),x81312),f317(f317(f92(f906(x81311,a894)),x81313),x81314))) % 169.26/169.09 [8146]E(f317(f317(f124(x81461),f317(f317(f165(x81461),x81462),x81463)),f317(f317(f141(x81461),x81464),f317(f317(f128(x81461),f317(a102,x81462)),x81463))),f317(f317(f149(x81461,x81463),x81462),x81464))+~P1(f317(f317(f225(a897),x81462),f317(f179(f898(x81461)),x81463))) % 169.26/169.09 [8169]P1(f317(f317(f319(x81691),x81692),x81693))+~P1(f317(f317(f224(f906(x81691,a894)),f317(f317(f299(x81691),x81692),x81694)),x81693)) % 169.26/169.09 [8206]~P1(f317(f317(f319(x82061),x82062),x82063))+~P1(f317(f317(f319(x82061),x82062),f317(f317(f23(f906(x82061,a894)),x82064),x82063))) % 169.26/169.09 [8239]~P1(f317(f317(f225(a897),x82394),f317(f179(f898(x82391)),x82393)))+P1(f317(f317(f319(x82391),x82392),f317(f162(x82391),f317(f317(f149(x82391,x82393),x82394),x82392)))) % 169.26/169.09 [8292]E(f317(f317(f154(x82921),f317(f317(f128(x82921),x82922),x82923)),x82924),f317(f317(f154(x82921),x82923),f317(f317(f74(a897),x82922),x82924)))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x82922),x82924)),f317(f179(f898(x82921)),x82923))) % 169.26/169.09 [8301]~P144(x83012)+E(f317(f317(f6(x83011,x83012),f317(f317(f8(a897,x83012,x83011),f90(x83012)),x83013)),x83014),f317(f90(x83012),f317(f317(f6(x83011,a897),x83013),x83014))) % 169.26/169.09 [8302]~P128(x83022)+E(f317(f317(f6(x83021,x83022),f317(f317(f8(a1,x83022,x83021),f93(x83022)),x83023)),x83024),f317(f93(x83022),f317(f317(f6(x83021,a1),x83023),x83024))) % 169.26/169.09 [8352]~P67(x83522)+E(f317(f317(f9(x83521,x83522),f317(f317(f8(x83522,x83522,x83521),f70(x83522)),x83523)),x83524),f317(f70(x83522),f317(f317(f9(x83521,x83522),x83523),x83524))) % 169.26/169.09 [8353]~P70(x83532)+E(f317(f317(f6(x83531,x83532),f317(f317(f8(x83532,x83532,x83531),f73(x83532)),x83533)),x83534),f317(f73(x83532),f317(f317(f6(x83531,x83532),x83533),x83534))) % 169.26/169.09 [8356]E(f317(f317(f6(x83561,a897),x83562),f317(f317(f23(f906(x83561,a894)),x83563),f317(f317(f299(x83561),x83564),f178(f906(x83561,a894))))),f317(f317(f23(a897),f317(f317(f6(x83561,a897),x83562),x83563)),f317(x83562,x83564)))+~P1(f317(f317(f319(x83561),x83564),x83563)) % 169.26/169.09 [8375]P1(f317(f317(f224(f906(x83751,a894)),x83752),x83753))+~P1(f317(f317(f224(f906(x83751,a894)),f317(f317(f299(x83751),x83754),x83752)),x83753)) % 169.26/169.09 [8499]~E(f317(f300(x84992,x84993,x84991),f232(f906(x84992,a894))),f232(f906(x84993,a894)))+E(f317(x84991,f317(f85(x84992,x84993,f232(f906(x84992,a894)),x84991),x84994)),x84994) % 169.26/169.09 [8582]P39(x85821,x85822)+~P39(x85821,f317(f317(f299(f905(x85821,x85821)),f317(f317(f242(x85821,x85821),x85823),x85824)),x85822)) % 169.26/169.09 [8583]P60(x85831,x85832)+~P60(x85831,f317(f317(f299(f905(x85831,x85831)),f317(f317(f242(x85831,x85831),x85833),x85834)),x85832)) % 169.26/169.09 [8588]~P4(x85881)+E(f317(f317(f138(x85881,x85881,f5(x85881)),x85882),f317(f317(f138(x85881,x85881,f5(x85881)),x85883),x85884)),f317(f317(f138(x85881,x85881,f5(x85881)),x85883),f317(f317(f138(x85881,x85881,f5(x85881)),x85882),x85884))) % 169.26/169.09 [8603]E(x86031,x86032)+~P1(f317(f56(x86033,x86034,f317(f317(f299(x86033),x86031),f178(f906(x86033,a894)))),x86032)) % 169.26/169.09 [8612]E(f317(f317(f124(x86121),f317(f317(f165(x86121),x86122),x86123)),f317(f317(f165(x86121),x86124),f317(f317(f128(x86121),x86122),x86123))),f317(f317(f165(x86121),f317(f317(f74(a897),x86122),x86124)),x86123))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x86122),x86124)),f317(f179(f898(x86121)),x86123))) % 169.26/169.09 [8652]P1(f317(f28(x86521),x86522))+~E(x86522,f317(f300(a897,x86521,x86523),f317(f252(a897),f317(f317(f7(a897,a897,a894),f225(a897)),x86524)))) % 169.26/169.09 [8672]~P93(x86721)+E(f317(f132(x86721,x86721,f74(x86721),f317(f317(f74(x86721),x86722),x86723)),x86724),f317(f317(f74(x86721),x86722),f317(f132(x86721,x86721,f74(x86721),x86723),x86724))) % 169.26/169.09 [8708]P1(f317(f317(f224(f906(x87081,a894)),f317(f254(x87081,x87082),x87083)),f317(f254(x87081,x87082),x87084)))+~P1(f317(f317(f224(f906(f905(x87081,x87082),a894)),x87083),x87084)) % 169.26/169.09 [8720]~P1(f317(f317(f224(a897),x87202),x87204))+P1(f317(f317(f224(f906(x87201,a894)),f317(f162(x87201),f317(f317(f165(x87201),x87202),x87203))),f317(f162(x87201),f317(f317(f165(x87201),x87204),x87203)))) % 169.26/169.09 [8721]~P1(f317(f317(f224(a897),x87214),x87212))+P1(f317(f317(f224(f906(x87211,a894)),f317(f162(x87211),f317(f317(f128(x87211),x87212),x87213))),f317(f162(x87211),f317(f317(f128(x87211),x87214),x87213)))) % 169.26/169.09 [8778]~P1(f317(f28(x87781),f317(f317(f23(f906(x87781,a894)),x87782),x87784)))+P1(f317(f28(x87781),f317(f317(f23(f906(x87781,a894)),x87782),f317(f317(f299(x87781),x87783),x87784)))) % 169.26/169.09 [8820]P1(f317(f317(f319(f905(x88201,x88201)),x88202),f297(x88201,x88203)))+~P1(f317(f317(f319(f905(x88201,x88201)),x88202),f317(f317(f173(f905(x88201,x88201),a894),x88204),x88203))) % 169.26/169.09 [8906]~P1(f317(f28(x89061),f317(f317(f23(f906(x89061,a894)),x89062),f317(f317(f299(x89061),x89064),x89063))))+P1(f317(f28(x89061),f317(f317(f23(f906(x89061,a894)),x89062),x89063))) % 169.26/169.09 [9117]~P4(x91171)+P1(f317(f317(f224(x91171),f317(f317(f223(x91171),x91172),f317(f317(f228(x91171),x91173),x91174))),f317(f317(f228(x91171),f317(f317(f223(x91171),x91172),x91173)),f317(f317(f223(x91171),x91172),x91174)))) % 169.26/169.09 [9118]~P101(x91181)+P1(f317(f317(f224(x91181),f317(f317(f91(x91181),x91182),f317(f317(f92(x91181),x91183),x91184))),f317(f317(f92(x91181),f317(f317(f91(x91181),x91182),x91183)),f317(f317(f91(x91181),x91182),x91184)))) % 169.26/169.09 [9266]E(x92661,x92662)+~P1(f317(f317(f319(f905(x92663,x92663)),f317(f317(f242(x92663,x92663),x92661),x92662)),f317(f162(f905(x92663,x92663)),f317(f317(f171(x92663,x92663),x92664),x92664)))) % 169.26/169.09 [9297]~P1(f317(f317(f319(f905(x92971,x92971)),f317(f317(f242(x92971,x92971),x92973),x92972)),f297(x92971,x92974)))+~P39(x92971,f317(f317(f299(f905(x92971,x92971)),f317(f317(f242(x92971,x92971),x92972),x92973)),x92974)) % 169.26/169.09 [9298]~P1(f317(f317(f319(f905(x92981,x92981)),f317(f317(f242(x92981,x92981),x92983),x92982)),f297(x92981,x92984)))+~P60(x92981,f317(f317(f299(f905(x92981,x92981)),f317(f317(f242(x92981,x92981),x92982),x92983)),x92984)) % 169.26/169.09 [9302]E(x93021,x93022)+E(f317(f126(x93023,f317(f317(f8(a894,a894,x93023),a312),f317(a314,x93021))),f317(f317(f141(x93023),x93022),x93024)),f317(f317(f141(x93023),x93022),f317(f126(x93023,f317(f317(f8(a894,a894,x93023),a312),f317(a314,x93021))),x93024))) % 169.26/169.09 [9333]~P28(x93332,x93331,x93333,f232(f906(x93332,a894)),f232(f906(x93331,a894)))+E(f317(f300(x93331,x93332,f85(x93332,x93331,f232(f906(x93332,a894)),x93333)),x93334),f317(f301(x93332,x93331,x93333),x93334)) % 169.26/169.09 [9349]~P4(x93491)+P1(f317(f317(f224(x93491),f317(f317(f223(x93491),f317(f317(f228(x93491),x93492),x93493)),f317(f317(f228(x93491),x93492),x93494))),f317(f317(f228(x93491),x93492),f317(f317(f223(x93491),x93493),x93494)))) % 169.26/169.09 [9350]~P101(x93501)+P1(f317(f317(f224(x93501),f317(f317(f91(x93501),f317(f317(f92(x93501),x93502),x93503)),f317(f317(f92(x93501),x93502),x93504))),f317(f317(f92(x93501),x93502),f317(f317(f91(x93501),x93503),x93504)))) % 169.26/169.09 [9415]~P28(x94152,x94151,x94154,f232(f906(x94152,a894)),f232(f906(x94151,a894)))+E(f317(f252(x94151),f317(f317(f8(x94152,a894,x94151),x94153),f85(x94152,x94151,f232(f906(x94152,a894)),x94154))),f317(f300(x94152,x94151,x94154),f317(f252(x94152),x94153))) % 169.26/169.09 [9429]~E(f317(f300(x94292,x94291,x94293),f232(f906(x94292,a894))),f232(f906(x94291,a894)))+P1(f317(f317(f224(f906(x94291,a894)),f317(f73(f906(x94291,a894)),f317(f300(x94292,x94291,x94293),x94294))),f317(f300(x94292,x94291,x94293),f317(f73(f906(x94292,a894)),x94294)))) % 169.26/169.09 [9764]P1(f317(f317(f319(f905(x97641,x97641)),f317(f317(f242(x97641,x97641),x97642),x97643)),f317(f276(x97641,x97641),f317(f317(f279(x97641,x97641,x97641),x97644),f297(x97641,x97644)))))+~P1(f317(f317(f319(f905(x97641,x97641)),f317(f317(f242(x97641,x97641),x97642),x97643)),f317(f317(f279(x97641,x97641,x97641),f317(f276(x97641,x97641),x97644)),f297(x97641,f317(f276(x97641,x97641),x97644))))) % 169.26/169.09 [9765]~P1(f317(f317(f319(f905(x97651,x97651)),f317(f317(f242(x97651,x97651),x97652),x97653)),f317(f276(x97651,x97651),f317(f317(f279(x97651,x97651,x97651),x97654),f297(x97651,x97654)))))+P1(f317(f317(f319(f905(x97651,x97651)),f317(f317(f242(x97651,x97651),x97652),x97653)),f317(f317(f279(x97651,x97651,x97651),f317(f276(x97651,x97651),x97654)),f297(x97651,f317(f276(x97651,x97651),x97654))))) % 169.26/169.09 [9786]~P1(f317(f317(f319(x97862),x97864),f317(f274(x97861,x97862),x97863)))+P1(f317(f317(f319(f905(x97861,x97862)),f317(f317(f242(x97861,x97862),f498(x97863,x97861,x97864,x97862)),x97864)),x97863)) % 169.26/169.09 [9787]~P1(f317(f317(f319(x97872),x97874),f317(f274(x97871,x97872),x97873)))+P1(f317(f317(f319(f905(x97871,x97872)),f317(f317(f242(x97871,x97872),f499(x97873,x97871,x97874,x97872)),x97874)),x97873)) % 169.26/169.09 [9812]~P1(f317(f317(f319(x98121),x98124),f317(f317(f91(f906(x98121,a894)),x98122),x98123)))+P1(f317(f317(f317(f91(f906(x98121,a894)),f317(f317(f7(x98121,f906(x98121,a894),a894),f319(x98121)),x98122)),f317(f317(f7(x98121,f906(x98121,a894),a894),f319(x98121)),x98123)),x98124)) % 169.26/169.09 [9813]~P1(f317(f317(f319(x98131),x98134),f317(f317(f92(f906(x98131,a894)),x98132),x98133)))+P1(f317(f317(f317(f92(f906(x98131,a894)),f317(f317(f7(x98131,f906(x98131,a894),a894),f319(x98131)),x98132)),f317(f317(f7(x98131,f906(x98131,a894),a894),f319(x98131)),x98133)),x98134)) % 169.26/169.09 [9894]~P1(f317(f317(f319(f905(x98941,x98941)),f317(f317(f242(x98941,x98941),x98944),x98943)),f317(f317(f279(x98941,x98941,x98941),x98942),f297(x98941,x98942))))+P1(f317(f317(f319(f905(x98941,x98941)),f317(f317(f242(x98941,x98941),f577(x98942,x98943,x98944,x98941)),x98943)),x98942)) % 169.26/169.09 [9929]P1(f317(f317(f319(x99291),x99292),f317(f317(f91(f906(x99291,a894)),x99293),x99294)))+~P1(f317(f317(f317(f91(f906(x99291,a894)),f317(f317(f7(x99291,f906(x99291,a894),a894),f319(x99291)),x99293)),f317(f317(f7(x99291,f906(x99291,a894),a894),f319(x99291)),x99294)),x99292)) % 169.26/169.09 [9930]P1(f317(f317(f319(x99301),x99302),f317(f317(f92(f906(x99301,a894)),x99303),x99304)))+~P1(f317(f317(f317(f92(f906(x99301,a894)),f317(f317(f7(x99301,f906(x99301,a894),a894),f319(x99301)),x99303)),f317(f317(f7(x99301,f906(x99301,a894),a894),f319(x99301)),x99304)),x99302)) % 169.26/169.09 [10212]P34(x102121,f317(f317(f7(x102121,f906(f905(x102121,x102121),a894),f906(x102121,a894)),f317(f317(f8(f906(x102121,f906(f906(f905(x102121,x102121),a894),a894)),f906(f906(f905(x102121,x102121),a894),f906(x102121,a894)),x102121),f7(x102121,f906(f905(x102121,x102121),a894),a894)),f317(f317(f8(f906(x102121,f905(x102121,x102121)),f906(x102121,f906(f906(f905(x102121,x102121),a894),a894)),x102121),f317(f8(f905(x102121,x102121),f906(f906(f905(x102121,x102121),a894),a894),x102121),f319(f905(x102121,x102121)))),f242(x102121,x102121)))),x102122),x102123,x102124)+~P1(f317(f317(f319(f905(f898(x102121),f898(x102121))),f317(f317(f242(f898(x102121),f898(x102121)),x102123),x102124)),f148(x102121,x102122))) % 169.26/169.09 [10216]P61(x102161,f317(f317(f7(x102161,f906(f905(x102161,x102161),a894),f906(x102161,a894)),f317(f317(f8(f906(x102161,f906(f906(f905(x102161,x102161),a894),a894)),f906(f906(f905(x102161,x102161),a894),f906(x102161,a894)),x102161),f7(x102161,f906(f905(x102161,x102161),a894),a894)),f317(f317(f8(f906(x102161,f905(x102161,x102161)),f906(x102161,f906(f906(f905(x102161,x102161),a894),a894)),x102161),f317(f8(f905(x102161,x102161),f906(f906(f905(x102161,x102161),a894),a894),x102161),f319(f905(x102161,x102161)))),f242(x102161,x102161)))),x102162),x102163,x102164)+~P1(f317(f317(f319(f905(f906(x102161,a894),f906(x102161,a894))),f317(f317(f242(f906(x102161,a894),f906(x102161,a894)),x102163),x102164)),f308(x102161,x102162))) % 169.26/169.09 [10251]E(x102511,x102512)+~E(f317(f317(f7(x102513,f906(f905(x102513,x102514),a894),f906(x102514,a894)),f317(f317(f8(f906(x102514,f906(f906(f905(x102513,x102514),a894),a894)),f906(f906(f905(x102513,x102514),a894),f906(x102514,a894)),x102513),f7(x102514,f906(f905(x102513,x102514),a894),a894)),f317(f317(f8(f906(x102514,f905(x102513,x102514)),f906(x102514,f906(f906(f905(x102513,x102514),a894),a894)),x102513),f317(f8(f905(x102513,x102514),f906(f906(f905(x102513,x102514),a894),a894),x102514),f319(f905(x102513,x102514)))),f242(x102513,x102514)))),x102511),f317(f317(f7(x102513,f906(f905(x102513,x102514),a894),f906(x102514,a894)),f317(f317(f8(f906(x102514,f906(f906(f905(x102513,x102514),a894),a894)),f906(f906(f905(x102513,x102514),a894),f906(x102514,a894)),x102513),f7(x102514,f906(f905(x102513,x102514),a894),a894)),f317(f317(f8(f906(x102514,f905(x102513,x102514)),f906(x102514,f906(f906(f905(x102513,x102514),a894),a894)),x102513),f317(f8(f905(x102513,x102514),f906(f906(f905(x102513,x102514),a894),a894),x102514),f319(f905(x102513,x102514)))),f242(x102513,x102514)))),x102512)) % 169.26/169.09 [10254]~P34(x102541,f317(f317(f7(x102541,f906(f905(x102541,x102541),a894),f906(x102541,a894)),f317(f317(f8(f906(x102541,f906(f906(f905(x102541,x102541),a894),a894)),f906(f906(f905(x102541,x102541),a894),f906(x102541,a894)),x102541),f7(x102541,f906(f905(x102541,x102541),a894),a894)),f317(f317(f8(f906(x102541,f905(x102541,x102541)),f906(x102541,f906(f906(f905(x102541,x102541),a894),a894)),x102541),f317(f8(f905(x102541,x102541),f906(f906(f905(x102541,x102541),a894),a894),x102541),f319(f905(x102541,x102541)))),f242(x102541,x102541)))),x102544),x102542,x102543)+P1(f317(f317(f319(f905(f898(x102541),f898(x102541))),f317(f317(f242(f898(x102541),f898(x102541)),x102542),x102543)),f148(x102541,x102544))) % 169.26/169.09 [10255]~P61(x102551,f317(f317(f7(x102551,f906(f905(x102551,x102551),a894),f906(x102551,a894)),f317(f317(f8(f906(x102551,f906(f906(f905(x102551,x102551),a894),a894)),f906(f906(f905(x102551,x102551),a894),f906(x102551,a894)),x102551),f7(x102551,f906(f905(x102551,x102551),a894),a894)),f317(f317(f8(f906(x102551,f905(x102551,x102551)),f906(x102551,f906(f906(f905(x102551,x102551),a894),a894)),x102551),f317(f8(f905(x102551,x102551),f906(f906(f905(x102551,x102551),a894),a894),x102551),f319(f905(x102551,x102551)))),f242(x102551,x102551)))),x102554),x102552,x102553)+P1(f317(f317(f319(f905(f906(x102551,a894),f906(x102551,a894))),f317(f317(f242(f906(x102551,a894),f906(x102551,a894)),x102552),x102553)),f308(x102551,x102554))) % 169.26/169.09 [7608]~P95(x76081)+E(f317(f317(f74(x76081),f317(f94(x76081),x76082)),f317(f317(f23(x76081),f317(f94(x76081),x76083)),x76084)),f317(f317(f23(x76081),f317(f94(x76081),f317(f317(f74(a1),x76082),x76083))),x76084)) % 169.26/169.09 [7609]~P95(x76091)+E(f317(f317(f74(x76091),f317(f94(x76091),x76092)),f317(f317(f74(x76091),f317(f94(x76091),x76093)),x76094)),f317(f317(f74(x76091),f317(f94(x76091),f317(f317(f74(a1),x76092),x76093))),x76094)) % 169.26/169.09 [7610]~P95(x76101)+E(f317(f317(f75(x76101),f317(f94(x76101),x76102)),f317(f317(f75(x76101),f317(f94(x76101),x76103)),x76104)),f317(f317(f75(x76101),f317(f94(x76101),f317(f317(f75(a1),x76102),x76103))),x76104)) % 169.26/169.09 [7653]~P144(x76531)+E(f317(f155(x76531),f317(f317(f144(x76532,x76531),f317(f16(x76531,x76532),x76533)),x76534)),f317(f317(f75(x76531),f317(f90(x76531),f317(f179(f898(x76532)),x76534))),x76533)) % 169.26/169.09 [7893]E(f317(f258(x78931,f317(f317(f141(f905(a89,x78931)),x78932),x78933)),x78934),f317(f246(a89,x78931),x78932))+~P1(f317(f317(f225(a89),x78934),f317(f241(a89,x78931),x78932))) % 169.26/169.09 [7934]~P95(x79341)+E(f317(f317(f74(x79341),f317(f94(x79341),x79342)),f317(f317(f23(x79341),x79343),f317(f94(x79341),x79344))),f317(f317(f74(x79341),f317(f94(x79341),f317(f317(f74(a1),x79342),f317(f73(a1),x79344)))),x79343)) % 169.26/169.09 [8068]E(f317(f258(x80681,x80682),f317(f317(f23(a89),x80683),f317(f241(a89,x80681),x80684))),f317(f258(x80681,f317(f317(f141(f905(a89,x80681)),x80684),x80682)),x80683))+P1(f317(f317(f225(a89),x80683),f317(f241(a89,x80681),x80684))) % 169.26/169.09 [8505]~P1(f317(f317(f319(x85051),x85052),f317(f162(x85051),f104(x85051,x85054))))+P1(f317(f317(f319(x85051),x85052),f317(f162(x85051),f104(x85051,f317(f317(f124(x85051),x85053),x85054))))) % 169.26/169.09 [8506]~P1(f317(f317(f319(x85061),x85062),f317(f162(x85061),f104(x85061,x85063))))+P1(f317(f317(f319(x85061),x85062),f317(f162(x85061),f104(x85061,f317(f317(f124(x85061),x85063),x85064))))) % 169.26/169.09 [8525]E(f317(f317(f91(f906(x85251,a894)),f317(f317(f92(f906(x85251,a894)),x85252),x85253)),x85254),f317(f317(f92(f906(x85251,a894)),x85252),f317(f317(f91(f906(x85251,a894)),x85253),x85254)))+~P1(f317(f317(f224(f906(x85251,a894)),x85254),x85252)) % 169.26/169.09 [8834]~E(f317(f317(f91(f906(x88341,a894)),f317(f317(f92(f906(x88341,a894)),x88343),x88344)),x88342),f317(f317(f92(f906(x88341,a894)),x88343),f317(f317(f91(f906(x88341,a894)),x88344),x88342)))+P1(f317(f317(f224(f906(x88341,a894)),x88342),x88343)) % 169.26/169.09 [9122]~P1(f317(f317(f224(f906(x91221,a894)),x91222),f317(f317(f91(f906(x91221,a894)),x91223),x91224)))+P1(f317(f317(f224(f906(x91221,a894)),f317(f317(f23(f906(x91221,a894)),x91222),x91223)),x91224)) % 169.26/169.09 [9238]~E(f317(f300(x92381,x92382,x92383),f232(f906(x92381,a894))),f232(f906(x92382,a894)))+E(f317(f300(x92381,x92382,x92383),f317(f300(x92382,x92381,f85(x92381,x92382,f232(f906(x92381,a894)),x92383)),x92384)),x92384) % 169.26/169.09 [9243]P1(f317(f317(f224(f906(x92431,a894)),x92432),f317(f317(f91(f906(x92431,a894)),x92433),x92434)))+~P1(f317(f317(f224(f906(x92431,a894)),f317(f317(f23(f906(x92431,a894)),x92432),x92433)),x92434)) % 169.26/169.09 [9328]~P89(x93281)+E(f317(f70(x93281),f317(f317(f6(x93282,x93281),f317(f317(f8(x93281,x93281,x93282),f70(x93281)),x93283)),x93284)),f317(f317(f6(x93282,x93281),f317(f317(f8(x93281,x93281,x93282),f70(x93281)),x93283)),x93284)) % 169.26/169.09 [9505]~P89(x95051)+P1(f317(f317(f224(x95051),f2(x95051)),f317(f317(f6(x95052,x95051),f317(f317(f8(x95051,x95051,x95052),f70(x95051)),x95053)),x95054))) % 169.26/169.09 [9509]~P70(x95091)+E(f317(f155(x95091),f317(f317(f144(x95092,x95091),f317(f67(x95091,x95091,x95092,f73(x95091)),x95093)),x95094)),f317(f73(x95091),f317(f155(x95091),f317(f317(f144(x95092,x95091),x95093),x95094)))) % 169.26/169.09 [9660]~P89(x96601)+P1(f317(f317(f224(x96601),f317(f70(x96601),f317(f317(f6(x96602,x96601),x96603),x96604))),f317(f317(f6(x96602,x96601),f317(f317(f8(x96601,x96601,x96602),f70(x96601)),x96603)),x96604))) % 169.26/169.09 [9689]~E(f317(f317(f74(a897),x96891),x96894),f317(f317(f74(a897),x96893),x96892))+P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),f317(f317(f242(a897,a897),x96891),x96892)),f317(f317(f242(a897,a897),x96893),x96894))),a99)) % 169.26/169.09 [9690]~P1(f317(f317(f225(a897),x96901),x96903))+P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),f317(f317(f242(a897,a897),x96901),x96902)),f317(f317(f242(a897,a897),x96903),x96904))),a26)) % 169.26/169.09 [9691]~P1(f317(f317(f225(a897),x96911),x96913))+P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),f317(f317(f242(a897,a897),x96911),x96912)),f317(f317(f242(a897,a897),x96913),x96914))),a65)) % 169.26/169.09 [9837]E(f317(f317(f74(a897),x98371),x98372),f317(f317(f74(a897),x98373),x98374))+~P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),f317(f317(f242(a897,a897),x98371),x98374)),f317(f317(f242(a897,a897),x98373),x98372))),a99)) % 169.26/169.09 [9868]E(f317(f317(f154(x98681),f317(f317(f128(x98681),f317(f179(f898(x98681)),f167(x98681,x98682,x98683))),x98683)),x98684),f317(f317(f154(x98681),x98683),f317(f317(f74(a897),x98684),f317(f179(f898(x98681)),f167(x98681,x98682,x98683)))))+~P1(f317(f317(f225(a897),x98684),f317(f179(f898(x98681)),f317(f317(f128(x98681),f317(f179(f898(x98681)),f167(x98681,x98682,x98683))),x98683)))) % 169.26/169.09 [9885]~P1(f317(f317(f319(x98852),x98854),f317(f317(f34(x98851,f906(x98852,a894)),f232(f906(x98851,a894))),x98853)))+P1(f317(f317(f317(f34(x98851,f906(x98852,a894)),f232(f906(x98851,a894))),f317(f317(f8(f906(x98852,a894),f906(x98852,a894),x98851),f317(f7(x98852,f906(x98852,a894),a894),f319(x98852))),x98853)),x98854)) % 169.26/169.09 [9886]~P1(f317(f317(f319(x98862),x98864),f317(f317(f35(x98861,f906(x98862,a894)),f232(f906(x98861,a894))),x98863)))+P1(f317(f317(f317(f35(x98861,f906(x98862,a894)),f232(f906(x98861,a894))),f317(f317(f8(f906(x98862,a894),f906(x98862,a894),x98861),f317(f7(x98862,f906(x98862,a894),a894),f319(x98862))),x98863)),x98864)) % 169.26/169.09 [9955]~P1(f317(f44(x99551,x99552),f317(f317(f242(a1,a1),x99554),x99553)))+P1(f317(f44(f317(f73(a1),x99551),x99552),f317(f317(f242(a1,a1),f317(f317(f317(f86(a1),f317(f317(a314,x99553),f2(a1))),f317(f73(a1),x99554)),f317(f317(f23(a1),f317(f73(a1),x99554)),f72(a1)))),f317(f317(f317(f86(a1),f317(f317(a314,x99553),f2(a1))),f2(a1)),f317(f317(f23(a1),x99552),x99553))))) % 169.26/169.09 [9967]P1(f317(f317(f319(x99671),x99672),f317(f317(f34(x99673,f906(x99671,a894)),f232(f906(x99673,a894))),x99674)))+~P1(f317(f317(f317(f34(x99673,f906(x99671,a894)),f232(f906(x99673,a894))),f317(f317(f8(f906(x99671,a894),f906(x99671,a894),x99673),f317(f7(x99671,f906(x99671,a894),a894),f319(x99671))),x99674)),x99672)) % 169.26/169.09 [9968]P1(f317(f317(f319(x99681),x99682),f317(f317(f35(x99683,f906(x99681,a894)),f232(f906(x99683,a894))),x99684)))+~P1(f317(f317(f317(f35(x99683,f906(x99681,a894)),f232(f906(x99683,a894))),f317(f317(f8(f906(x99681,a894),f906(x99681,a894),x99683),f317(f7(x99681,f906(x99681,a894),a894),f319(x99681))),x99684)),x99682)) % 169.26/169.09 [9980]E(f317(f317(f34(a897,f906(x99801,a894)),f232(f906(a897,a894))),x99802),f317(f317(f34(a897,f906(x99801,a894)),f232(f906(a897,a894))),x99803))+~E(f317(f317(f34(a897,f906(x99801,a894)),f317(f292(a897,f2(a897)),f458(x99802,x99804,x99803,x99801))),x99803),f317(f317(f34(a897,f906(x99801,a894)),f317(f292(a897,f2(a897)),f317(f317(f74(a897),f458(x99802,x99804,x99803,x99801)),x99804))),x99802)) % 169.26/169.09 [10332]~P1(f317(f317(f224(f906(f905(x103321,x103322),a894)),x103323),x103324))+P1(f317(f317(f224(f906(x103321,f906(x103322,a894))),f317(f317(f7(x103321,f906(f905(x103321,x103322),a894),f906(x103322,a894)),f317(f317(f8(f906(x103322,f906(f906(f905(x103321,x103322),a894),a894)),f906(f906(f905(x103321,x103322),a894),f906(x103322,a894)),x103321),f7(x103322,f906(f905(x103321,x103322),a894),a894)),f317(f317(f8(f906(x103322,f905(x103321,x103322)),f906(x103322,f906(f906(f905(x103321,x103322),a894),a894)),x103321),f317(f8(f905(x103321,x103322),f906(f906(f905(x103321,x103322),a894),a894),x103322),f319(f905(x103321,x103322)))),f242(x103321,x103322)))),x103323)),f317(f317(f7(x103321,f906(f905(x103321,x103322),a894),f906(x103322,a894)),f317(f317(f8(f906(x103322,f906(f906(f905(x103321,x103322),a894),a894)),f906(f906(f905(x103321,x103322),a894),f906(x103322,a894)),x103321),f7(x103322,f906(f905(x103321,x103322),a894),a894)),f317(f317(f8(f906(x103322,f905(x103321,x103322)),f906(x103322,f906(f906(f905(x103321,x103322),a894),a894)),x103321),f317(f8(f905(x103321,x103322),f906(f906(f905(x103321,x103322),a894),a894),x103322),f319(f905(x103321,x103322)))),f242(x103321,x103322)))),x103324))) % 169.26/169.09 [10348]P1(f317(f317(f224(f906(f905(x103481,x103482),a894)),x103483),x103484))+~P1(f317(f317(f224(f906(x103481,f906(x103482,a894))),f317(f317(f7(x103481,f906(f905(x103481,x103482),a894),f906(x103482,a894)),f317(f317(f8(f906(x103482,f906(f906(f905(x103481,x103482),a894),a894)),f906(f906(f905(x103481,x103482),a894),f906(x103482,a894)),x103481),f7(x103482,f906(f905(x103481,x103482),a894),a894)),f317(f317(f8(f906(x103482,f905(x103481,x103482)),f906(x103482,f906(f906(f905(x103481,x103482),a894),a894)),x103481),f317(f8(f905(x103481,x103482),f906(f906(f905(x103481,x103482),a894),a894),x103482),f319(f905(x103481,x103482)))),f242(x103481,x103482)))),x103483)),f317(f317(f7(x103481,f906(f905(x103481,x103482),a894),f906(x103482,a894)),f317(f317(f8(f906(x103482,f906(f906(f905(x103481,x103482),a894),a894)),f906(f906(f905(x103481,x103482),a894),f906(x103482,a894)),x103481),f7(x103482,f906(f905(x103481,x103482),a894),a894)),f317(f317(f8(f906(x103482,f905(x103481,x103482)),f906(x103482,f906(f906(f905(x103481,x103482),a894),a894)),x103481),f317(f8(f905(x103481,x103482),f906(f906(f905(x103481,x103482),a894),a894),x103482),f319(f905(x103481,x103482)))),f242(x103481,x103482)))),x103484))) % 169.26/169.09 [9377]~P1(f317(f317(f319(f905(x93771,x93771)),x93772),f297(x93771,x93774)))+P1(f317(f317(f319(f905(x93771,x93771)),x93772),f297(x93771,f317(f317(f91(f906(f905(x93771,x93771),a894)),x93773),x93774)))) % 169.26/169.09 [9378]~P1(f317(f317(f319(f905(x93781,x93781)),x93782),f297(x93781,x93783)))+P1(f317(f317(f319(f905(x93781,x93781)),x93782),f297(x93781,f317(f317(f91(f906(f905(x93781,x93781),a894)),x93783),x93784)))) % 169.26/169.09 [10066]~P1(f317(f317(f224(a897),f317(f317(f74(a897),x100661),x100664)),f317(f317(f74(a897),x100663),x100662)))+P1(f317(f317(f224(a1),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x100661),x100662)),f178(f906(f905(a897,a897),a894)))))),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x100663),x100664)),f178(f906(f905(a897,a897),a894))))))) % 169.26/169.09 [10067]~P1(f317(f317(f225(a897),f317(f317(f74(a897),x100671),x100674)),f317(f317(f74(a897),x100673),x100672)))+P1(f317(f317(f225(a1),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x100671),x100672)),f178(f906(f905(a897,a897),a894)))))),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x100673),x100674)),f178(f906(f905(a897,a897),a894))))))) % 169.26/169.09 [10154]P1(f317(f317(f224(a897),f317(f317(f74(a897),x101541),x101542)),f317(f317(f74(a897),x101543),x101544)))+~P1(f317(f317(f224(a1),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x101541),x101544)),f178(f906(f905(a897,a897),a894)))))),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x101543),x101542)),f178(f906(f905(a897,a897),a894))))))) % 169.26/169.09 [10155]P1(f317(f317(f225(a897),f317(f317(f74(a897),x101551),x101552)),f317(f317(f74(a897),x101553),x101554)))+~P1(f317(f317(f225(a1),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x101551),x101554)),f178(f906(f905(a897,a897),a894)))))),f317(a83,f317(f275(f905(a897,a897),f905(a897,a897),a99),f317(f317(f299(f905(a897,a897)),f317(f317(f242(a897,a897),x101553),x101552)),f178(f906(f905(a897,a897),a894))))))) % 169.26/169.09 [10198]P1(f317(f317(f224(f906(x101981,a894)),f317(f317(f34(a897,f906(x101981,a894)),f232(f906(a897,a894))),x101982)),f317(f317(f34(a897,f906(x101981,a894)),f232(f906(a897,a894))),x101983)))+~P1(f317(f317(f224(f906(x101981,a894)),f317(f317(f34(a897,f906(x101981,a894)),f317(f292(a897,f2(a897)),f459(x101983,x101984,x101982,x101981))),x101982)),f317(f317(f34(a897,f906(x101981,a894)),f317(f292(a897,f2(a897)),f317(f317(f74(a897),f459(x101983,x101984,x101982,x101981)),x101984))),x101983))) % 169.26/169.09 [10258]P1(f317(f317(f224(a89),x102584),f2(a89)))+E(f317(f317(f249(f905(a89,a89),f905(x102581,f906(a900,a313)),f905(a89,a89),f905(f906(a89,f906(a894,f901(f899(x102581)))),f905(a89,a89))),f317(x102582,x102583)),f317(f317(f8(f906(f906(a89,f906(a894,f901(f899(x102581)))),f906(f905(a89,a89),f905(f906(a89,f906(a894,f901(f899(x102581)))),f905(a89,a89)))),f906(f905(a89,a89),f905(f906(a89,f906(a894,f901(f899(x102581)))),f905(a89,a89))),f905(x102581,f906(a900,a313))),f317(f249(f905(a89,a89),f906(a89,f906(a894,f901(f899(x102581)))),f905(a89,a89),f905(f906(a89,f906(a894,f901(f899(x102581)))),f905(a89,a89))),f267(x102581,x102582,f317(f317(f23(a89),x102584),f72(a89)),x102583))),f317(f317(f8(f906(f906(a89,f906(a894,f901(f899(x102581)))),f906(a89,f906(a894,f901(f899(x102581))))),f906(f906(a89,f906(a894,f901(f899(x102581)))),f906(f905(a89,a89),f905(f906(a89,f906(a894,f901(f899(x102581)))),f905(a89,a89)))),f905(x102581,f906(a900,a313))),f317(f8(f906(a89,f906(a894,f901(f899(x102581)))),f906(f905(a89,a89),f905(f906(a89,f906(a894,f901(f899(x102581)))),f905(a89,a89))),f906(a89,f906(a894,f901(f899(x102581))))),f242(f906(a89,f906(a894,f901(f899(x102581)))),f905(a89,a89)))),f317(f317(f8(f906(a89,f906(a894,f901(f899(x102581)))),f906(f906(a89,f906(a894,f901(f899(x102581)))),f906(a89,f906(a894,f901(f899(x102581))))),f905(x102581,f906(a900,a313))),f39(x102581)),f317(f317(f8(x102581,f906(a89,f906(a894,f901(f899(x102581)))),f905(x102581,f906(a900,a313))),f37(x102581)),f241(x102581,f906(a900,a313))))))),f267(x102581,x102582,x102584,x102583)) % 169.26/169.09 [10322]~P1(f317(f317(f319(x103222),x103224),f317(f274(x103221,x103222),x103223)))+P1(f317(f240(x103221,x103222,f317(f317(f7(x103221,f906(f905(x103221,x103222),a894),f906(x103222,a894)),f317(f317(f8(f906(x103222,f906(f906(f905(x103221,x103222),a894),a894)),f906(f906(f905(x103221,x103222),a894),f906(x103222,a894)),x103221),f7(x103222,f906(f905(x103221,x103222),a894),a894)),f317(f317(f8(f906(x103222,f905(x103221,x103222)),f906(x103222,f906(f906(f905(x103221,x103222),a894),a894)),x103221),f317(f8(f905(x103221,x103222),f906(f906(f905(x103221,x103222),a894),a894),x103222),f319(f905(x103221,x103222)))),f242(x103221,x103222)))),x103223)),x103224)) % 169.26/169.09 [10323]~P1(f317(f317(f319(x103231),x103234),f317(f254(x103231,x103232),x103233)))+P1(f317(f239(x103231,x103232,f317(f317(f7(x103231,f906(f905(x103231,x103232),a894),f906(x103232,a894)),f317(f317(f8(f906(x103232,f906(f906(f905(x103231,x103232),a894),a894)),f906(f906(f905(x103231,x103232),a894),f906(x103232,a894)),x103231),f7(x103232,f906(f905(x103231,x103232),a894),a894)),f317(f317(f8(f906(x103232,f905(x103231,x103232)),f906(x103232,f906(f906(f905(x103231,x103232),a894),a894)),x103231),f317(f8(f905(x103231,x103232),f906(f906(f905(x103231,x103232),a894),a894),x103232),f319(f905(x103231,x103232)))),f242(x103231,x103232)))),x103233)),x103234)) % 169.26/169.09 [10335]P1(f317(f317(f319(x103351),x103352),f317(f274(x103353,x103351),x103354)))+~P1(f317(f240(x103353,x103351,f317(f317(f7(x103353,f906(f905(x103353,x103351),a894),f906(x103351,a894)),f317(f317(f8(f906(x103351,f906(f906(f905(x103353,x103351),a894),a894)),f906(f906(f905(x103353,x103351),a894),f906(x103351,a894)),x103353),f7(x103351,f906(f905(x103353,x103351),a894),a894)),f317(f317(f8(f906(x103351,f905(x103353,x103351)),f906(x103351,f906(f906(f905(x103353,x103351),a894),a894)),x103353),f317(f8(f905(x103353,x103351),f906(f906(f905(x103353,x103351),a894),a894),x103351),f319(f905(x103353,x103351)))),f242(x103353,x103351)))),x103354)),x103352)) % 169.26/169.09 [10336]P1(f317(f317(f319(x103361),x103362),f317(f254(x103361,x103363),x103364)))+~P1(f317(f239(x103361,x103363,f317(f317(f7(x103361,f906(f905(x103361,x103363),a894),f906(x103363,a894)),f317(f317(f8(f906(x103363,f906(f906(f905(x103361,x103363),a894),a894)),f906(f906(f905(x103361,x103363),a894),f906(x103363,a894)),x103361),f7(x103363,f906(f905(x103361,x103363),a894),a894)),f317(f317(f8(f906(x103363,f905(x103361,x103363)),f906(x103363,f906(f906(f905(x103361,x103363),a894),a894)),x103361),f317(f8(f905(x103361,x103363),f906(f906(f905(x103361,x103363),a894),a894),x103363),f319(f905(x103361,x103363)))),f242(x103361,x103363)))),x103364)),x103362)) % 169.26/169.09 [9991]P1(f317(f150(x99911,x99912),x99913))+~P1(f317(f150(x99911,f317(f317(f18(x99911,a894,a894),f317(f317(f8(a894,f906(a894,a894),x99911),a315),x99914)),x99912)),x99913)) % 169.26/169.09 [9992]P1(f317(f150(x99921,x99922),x99923))+~P1(f317(f150(x99921,f317(f317(f18(x99921,a894,a894),f317(f317(f8(a894,f906(a894,a894),x99921),a315),x99922)),x99924)),x99923)) % 169.26/169.09 [10078]~P112(x100781)+E(f317(f317(f75(x100781),f317(f317(f74(x100781),f72(x100781)),f72(x100781))),f317(f317(f6(a897,x100781),f317(f317(f8(x100781,x100781,a897),f317(f74(x100781),x100782)),f317(f317(f7(a897,x100781,x100781),f317(f317(f8(x100781,f906(x100781,x100781),a897),f75(x100781)),f90(x100781))),x100783))),f317(f272(a897),x100784))),f317(f317(f75(x100781),f317(f90(x100781),x100784)),f317(f317(f74(x100781),x100782),f317(f317(f74(x100781),x100782),f317(f317(f75(x100781),f317(f90(x100781),f317(f317(f23(a897),x100784),f72(a897)))),x100783))))) % 169.26/169.09 [10219]P1(f317(x102191,f509(x102192,x102193,x102194,x102191)))+P39(x102192,f317(f252(f905(x102192,x102192)),f317(f247(x102192,x102192,a894),f317(f317(f8(f906(x102192,a894),f906(x102192,a894),x102192),f317(f18(x102192,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102192),a315),x102191))),f317(f317(f7(x102192,f906(x102192,x102192),f906(x102192,a894)),f317(f317(f8(f906(x102192,a894),f906(f906(x102192,x102192),f906(x102192,a894)),x102192),f8(x102192,a894,x102192)),a314)),x102193))))) % 169.26/169.09 [10233]~P1(f317(f317(f225(a897),f317(x102334,f317(x102333,f509(x102331,x102333,x102334,x102332)))),f317(x102334,f509(x102331,x102333,x102334,x102332))))+P39(x102331,f317(f252(f905(x102331,x102331)),f317(f247(x102331,x102331,a894),f317(f317(f8(f906(x102331,a894),f906(x102331,a894),x102331),f317(f18(x102331,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102331),a315),x102332))),f317(f317(f7(x102331,f906(x102331,x102331),f906(x102331,a894)),f317(f317(f8(f906(x102331,a894),f906(f906(x102331,x102331),f906(x102331,a894)),x102331),f8(x102331,a894,x102331)),a314)),x102333))))) % 169.26/169.09 [10309]~P8(x103091)+E(f32(x103091,f317(f252(x103091),f317(f317(f8(f906(f906(x103092,x103091),a894),a894,x103091),f81(f906(x103092,x103091))),f317(f317(f8(f906(f906(x103092,x103091),a894),f906(f906(x103092,x103091),a894),x103091),f317(f18(f906(x103092,x103091),a894,a894),f317(f317(f8(a894,f906(a894,a894),f906(x103092,x103091)),a315),f317(f317(f7(f906(x103092,x103091),f906(f906(x103092,x103091),a894),a894),f319(f906(x103092,x103091))),x103093)))),f317(f317(f7(x103091,f906(f906(x103092,x103091),x103091),f906(f906(x103092,x103091),a894)),f317(f317(f8(f906(x103091,a894),f906(f906(f906(x103092,x103091),x103091),f906(f906(x103092,x103091),a894)),x103091),f8(x103091,a894,f906(x103092,x103091))),a314)),f317(f317(f7(f906(x103092,x103091),x103092,x103091),f5(f906(x103092,x103091))),x103094)))))),f317(f32(f906(x103092,x103091),x103093),x103094)) % 169.26/169.09 [10310]~P8(x103101)+E(f32(x103101,f317(f252(x103101),f317(f317(f8(f906(f906(x103102,x103101),a894),a894,x103101),f81(f906(x103102,x103101))),f317(f317(f8(f906(f906(x103102,x103101),a894),f906(f906(x103102,x103101),a894),x103101),f317(f18(f906(x103102,x103101),a894,a894),f317(f317(f8(a894,f906(a894,a894),f906(x103102,x103101)),a315),f317(f317(f7(f906(x103102,x103101),f906(f906(x103102,x103101),a894),a894),f319(f906(x103102,x103101))),x103103)))),f317(f317(f7(x103101,f906(f906(x103102,x103101),x103101),f906(f906(x103102,x103101),a894)),f317(f317(f8(f906(x103101,a894),f906(f906(f906(x103102,x103101),x103101),f906(f906(x103102,x103101),a894)),x103101),f8(x103101,a894,f906(x103102,x103101))),a314)),f317(f317(f7(f906(x103102,x103101),x103102,x103101),f5(f906(x103102,x103101))),x103104)))))),f317(f32(f906(x103102,x103101),x103103),x103104)) % 169.26/169.09 [10311]~P8(x103111)+E(f31(x103111,f317(f252(x103111),f317(f317(f8(f906(f906(x103112,x103111),a894),a894,x103111),f81(f906(x103112,x103111))),f317(f317(f8(f906(f906(x103112,x103111),a894),f906(f906(x103112,x103111),a894),x103111),f317(f18(f906(x103112,x103111),a894,a894),f317(f317(f8(a894,f906(a894,a894),f906(x103112,x103111)),a315),f317(f317(f7(f906(x103112,x103111),f906(f906(x103112,x103111),a894),a894),f319(f906(x103112,x103111))),x103113)))),f317(f317(f7(x103111,f906(f906(x103112,x103111),x103111),f906(f906(x103112,x103111),a894)),f317(f317(f8(f906(x103111,a894),f906(f906(f906(x103112,x103111),x103111),f906(f906(x103112,x103111),a894)),x103111),f8(x103111,a894,f906(x103112,x103111))),a314)),f317(f317(f7(f906(x103112,x103111),x103112,x103111),f5(f906(x103112,x103111))),x103114)))))),f317(f31(f906(x103112,x103111),x103113),x103114)) % 169.26/169.09 [10312]~P8(x103121)+E(f31(x103121,f317(f252(x103121),f317(f317(f8(f906(f906(x103122,x103121),a894),a894,x103121),f81(f906(x103122,x103121))),f317(f317(f8(f906(f906(x103122,x103121),a894),f906(f906(x103122,x103121),a894),x103121),f317(f18(f906(x103122,x103121),a894,a894),f317(f317(f8(a894,f906(a894,a894),f906(x103122,x103121)),a315),f317(f317(f7(f906(x103122,x103121),f906(f906(x103122,x103121),a894),a894),f319(f906(x103122,x103121))),x103123)))),f317(f317(f7(x103121,f906(f906(x103122,x103121),x103121),f906(f906(x103122,x103121),a894)),f317(f317(f8(f906(x103121,a894),f906(f906(f906(x103122,x103121),x103121),f906(f906(x103122,x103121),a894)),x103121),f8(x103121,a894,f906(x103122,x103121))),a314)),f317(f317(f7(f906(x103122,x103121),x103122,x103121),f5(f906(x103122,x103121))),x103124)))))),f317(f31(f906(x103122,x103121),x103123),x103124)) % 169.26/169.09 [10361]~P1(f317(f317(f319(f905(x103611,x103611)),f317(f317(f242(x103611,x103611),x103613),x103614)),f317(f317(f91(f906(f905(x103611,x103611),a894)),x103612),f297(x103611,f178(f906(f905(x103611,x103611),a894))))))+P1(f317(f317(f317(f317(f91(f906(x103611,f906(x103611,a894))),f317(f317(f7(x103611,f906(f905(x103611,x103611),a894),f906(x103611,a894)),f317(f317(f8(f906(x103611,f906(f906(f905(x103611,x103611),a894),a894)),f906(f906(f905(x103611,x103611),a894),f906(x103611,a894)),x103611),f7(x103611,f906(f905(x103611,x103611),a894),a894)),f317(f317(f8(f906(x103611,f905(x103611,x103611)),f906(x103611,f906(f906(f905(x103611,x103611),a894),a894)),x103611),f317(f8(f905(x103611,x103611),f906(f906(f905(x103611,x103611),a894),a894),x103611),f319(f905(x103611,x103611)))),f242(x103611,x103611)))),x103612)),a314),x103613),x103614)) % 169.26/169.09 [10371]P1(f317(f317(f319(f905(x103711,x103711)),f317(f317(f242(x103711,x103711),x103712),x103713)),f317(f317(f91(f906(f905(x103711,x103711),a894)),x103714),f297(x103711,f178(f906(f905(x103711,x103711),a894))))))+~P1(f317(f317(f317(f317(f91(f906(x103711,f906(x103711,a894))),f317(f317(f7(x103711,f906(f905(x103711,x103711),a894),f906(x103711,a894)),f317(f317(f8(f906(x103711,f906(f906(f905(x103711,x103711),a894),a894)),f906(f906(f905(x103711,x103711),a894),f906(x103711,a894)),x103711),f7(x103711,f906(f905(x103711,x103711),a894),a894)),f317(f317(f8(f906(x103711,f905(x103711,x103711)),f906(x103711,f906(f906(f905(x103711,x103711),a894),a894)),x103711),f317(f8(f905(x103711,x103711),f906(f906(f905(x103711,x103711),a894),a894),x103711),f319(f905(x103711,x103711)))),f242(x103711,x103711)))),x103714)),a314),x103712),x103713)) % 169.26/169.09 [10319]E(f317(f317(f141(f898(x103191)),f317(f317(f141(x103191),x103192),f317(f132(f898(x103191),f898(x103191),f124(x103191),f103(x103191)),f317(f317(f144(f898(x103191),f898(x103191)),f146(f898(x103191),x103191,f103(x103191),f317(f317(f8(f898(x103191),f906(f898(x103191),f898(x103191)),x103191),f16(f898(x103191),f898(x103191))),f317(f317(f7(x103191,f898(x103191),f898(x103191)),f141(x103191)),f103(x103191))))),x103193)))),f169(x103191,f317(f317(f141(f898(x103191)),x103194),f317(f132(f898(f898(x103191)),f898(f898(x103191)),f124(f898(x103191)),f103(f898(x103191))),f317(f317(f144(f898(x103191),f898(f898(x103191))),f146(f898(f898(x103191)),x103191,f103(f898(x103191)),f317(f16(f906(f898(x103191),f898(f898(x103191))),x103191),f317(f317(f7(f898(x103191),f898(f898(x103191)),f898(f898(x103191))),f141(f898(x103191))),f103(f898(x103191)))))),x103193))))),f169(x103191,f317(f317(f141(f898(x103191)),f317(f317(f141(x103191),x103192),x103194)),x103193)))+~P1(f317(f305(f898(f898(x103191)),f170(x103191)),f317(f317(f141(f898(x103191)),f317(f317(f141(x103191),x103192),x103194)),x103193))) % 169.26/169.09 [10360]~P1(f317(f28(x103602),f317(f252(x103602),x103604)))+P1(f317(f28(x103601),f317(f252(x103601),f317(f317(f8(f906(x103602,a894),a894,x103601),f81(x103602)),f317(f317(f7(x103601,f906(x103602,a894),f906(x103602,a894)),f317(f317(f8(f906(x103602,f906(a894,a894)),f906(f906(x103602,a894),f906(x103602,a894)),x103601),f18(x103602,a894,a894)),f317(f317(f8(f906(x103602,a894),f906(x103602,f906(a894,a894)),x103601),f317(f8(a894,f906(a894,a894),x103602),a315)),f317(f317(f7(x103601,f906(x103602,x103601),f906(x103602,a894)),f317(f317(f8(f906(x103601,a894),f906(f906(x103602,x103601),f906(x103602,a894)),x103601),f8(x103601,a894,x103602)),a314)),x103603)))),x103604))))) % 169.26/169.09 [8872]P27(x88721,x88722,x88723,x88724)+~P28(x88721,x88722,x88723,x88724,x88725) % 169.26/169.09 [5331]E(x53311,x53312)+~E(f159(x53313,x53311,x53314),f159(x53313,x53312,x53315)) % 169.26/169.09 [5332]E(x53321,x53322)+~E(f116(x53323,x53324,x53321),f116(x53323,x53325,x53322)) % 169.26/169.09 [5333]E(x53331,x53332)+~E(f116(x53333,x53331,x53334),f116(x53333,x53332,x53335)) % 169.26/169.09 [8199]~E(f317(x81993,x81994),x81995)+E(f69(x81991,x81992,x81993,x81994,x81995),x81993) % 169.26/169.09 [8730]~E(f69(x87304,x87305,x87301,x87302,x87303),x87301)+E(f317(x87301,x87302),x87303) % 169.26/169.09 [9347]~P28(x93472,x93471,x93474,x93473,x93475)+P28(x93471,x93472,f71(x93472,x93471,x93473,x93474),x93475,x93473) % 169.26/169.09 [9348]~P28(x93482,x93481,x93484,x93483,x93485)+P28(x93481,x93482,f85(x93482,x93481,x93483,x93484),x93485,x93483) % 169.26/169.09 [6152]P1(f317(f240(x61521,x61522,x61523),x61524))+~P1(f317(f317(x61523,x61525),x61524)) % 169.26/169.09 [6154]P1(f317(f239(x61541,x61542,x61543),x61544))+~P1(f317(f317(x61543,x61544),x61545)) % 169.26/169.09 [6643]~E(x66435,f2(a89))+E(f317(f186(x66431,x66432,x66433,x66434),x66435),f114(x66432)) % 169.26/169.09 [6644]~E(x66445,f2(a89))+E(f317(f188(x66441,x66442,x66443,x66444),x66445),f105(x66442)) % 169.26/169.09 [6784]~E(x67843,f2(a89))+E(f317(f263(x67841,x67842,x67843,x67844),x67845),f317(f242(x67841,x67842),x67845)) % 169.26/169.09 [7848]~P23(x78484,x78481,x78482,x78485)+E(f317(f67(x78481,x78481,x78481,f317(x78482,x78483)),f317(x78482,x78483)),f317(x78482,x78483)) % 169.26/169.09 [8240]~P19(x82405,x82401,x82402)+E(f317(f67(x82401,x82401,x82401,f317(x82402,x82403)),f317(x82402,x82404)),f317(f67(x82401,x82401,x82401,f317(x82402,x82404)),f317(x82402,x82403))) % 169.26/169.09 [8565]P1(f317(f317(f319(f905(x85651,x85651)),f317(f317(f242(x85651,x85651),x85652),x85653)),f311(x85651,x85654,x85655)))+~P1(f317(f317(f225(a897),f317(x85654,x85652)),f317(x85654,x85653))) % 169.26/169.09 [8658]~P1(f317(f317(f319(x86584),x86583),f280(x86584,x86581,x86582,x86585)))+P1(f317(f317(x86581,x86582),x86583)) % 169.26/169.09 [8659]~P1(f317(f317(f319(x86594),x86593),f289(x86594,x86591,x86592,x86595)))+P1(f317(f317(x86591,x86592),x86593)) % 169.26/169.09 [8660]~P1(f317(f317(f319(x86604),x86602),f280(x86604,x86601,x86605,x86603)))+P1(f317(f317(x86601,x86602),x86603)) % 169.26/169.09 [8661]~P1(f317(f317(f319(x86614),x86612),f289(x86614,x86611,x86615,x86613)))+P1(f317(f317(x86611,x86612),x86613)) % 169.26/169.09 [8742]~P28(x87421,x87423,x87425,x87422,x87424)+E(f317(f29(x87421),x87422),f317(f29(x87423),x87424)) % 169.26/169.09 [8790]~P28(x87901,x87902,x87903,x87904,x87905)+E(f317(f300(x87901,x87902,x87903),x87904),x87905) % 169.26/169.09 [8810]~P59(x88102,x88101,x88105,x88103,x88104)+E(f317(f300(x88101,x88102,x88103),x88104),f232(f906(x88102,a894))) % 169.26/169.09 [9255]~P36(x92551,x92552,x92553,x92554,x92555)+P36(x92551,x92552,x92553,f317(f158(x92551),x92554),f317(f158(x92552),x92555)) % 169.26/169.09 [9257]~P36(x92571,x92572,x92573,f317(f158(x92571),x92574),x92575)+P36(x92571,x92572,x92573,x92574,f317(f158(x92572),x92575)) % 169.26/169.09 [9258]~P36(x92581,x92582,x92583,x92584,f317(f158(x92582),x92585))+P36(x92581,x92582,x92583,f317(f158(x92581),x92584),x92585) % 169.26/169.09 [9264]P36(x92641,x92642,x92643,x92644,x92645)+~P36(x92641,x92642,x92643,f317(f158(x92641),x92644),f317(f158(x92642),x92645)) % 169.26/169.09 [9679]P1(f317(f317(f319(f905(f898(x96791),f898(x96791))),f317(f317(f242(f898(x96791),f898(x96791)),f317(f317(f141(x96791),x96792),x96793)),f317(f317(f141(x96791),x96792),x96794))),f147(x96791,x96795)))+~P1(f317(f317(f319(f905(f898(x96791),f898(x96791))),f317(f317(f242(f898(x96791),f898(x96791)),x96793),x96794)),f147(x96791,x96795))) % 169.26/169.09 [9680]P1(f317(f317(f319(f905(f898(x96801),f898(x96801))),f317(f317(f242(f898(x96801),f898(x96801)),f317(f317(f124(x96801),x96802),x96803)),f317(f317(f124(x96801),x96802),x96804))),f137(x96801,x96805)))+~P1(f317(f317(f319(f905(f898(x96801),f898(x96801))),f317(f317(f242(f898(x96801),f898(x96801)),x96803),x96804)),f137(x96801,x96805))) % 169.26/169.09 [9876]E(f317(f317(f141(x98761),f632(x98762,x98763,x98764,x98765,x98761)),f635(x98762,x98763,x98764,x98765,x98761)),x98765)+~P1(f317(f317(f319(f905(f898(x98761),f898(x98761))),f317(f317(f242(f898(x98761),f898(x98761)),x98765),f317(f317(f141(x98761),x98764),x98763))),f148(x98761,x98762))) % 169.26/169.09 [9897]E(f317(f317(f141(x98971),f633(x98972,x98973,x98974,x98975,x98971)),f634(x98972,x98973,x98974,x98975,x98971)),x98973)+~P1(f317(f317(f319(f905(f898(x98971),f898(x98971))),f317(f317(f242(f898(x98971),f898(x98971)),f317(f317(f141(x98971),x98975),x98974)),x98973)),f148(x98971,x98972))) % 169.26/169.09 [10041]~P1(f317(f317(f319(f905(f898(x100411),f898(x100411))),f317(f317(f242(f898(x100411),f898(x100411)),f317(f317(f141(x100411),x100415),x100412)),x100414)),f148(x100411,x100413)))+P1(f317(f317(f319(f905(f898(x100411),f898(x100411))),f317(f317(f242(f898(x100411),f898(x100411)),x100412),f634(x100413,x100414,x100412,x100415,x100411))),f148(x100411,x100413))) % 169.26/169.09 [10121]~P1(f317(f317(f319(f905(f898(x101211),f898(x101211))),f317(f317(f242(f898(x101211),f898(x101211)),x101215),f317(f317(f141(x101211),x101214),x101213))),f148(x101211,x101212)))+P1(f317(f317(f319(f905(f898(x101211),f898(x101211))),f317(f317(f242(f898(x101211),f898(x101211)),f635(x101212,x101213,x101214,x101215,x101211)),x101213)),f148(x101211,x101212))) % 169.26/169.09 [10313]P1(f317(f317(f319(f905(x103131,x103131)),f317(f317(f242(x103131,x103131),f317(x103132,f317(f317(f74(a897),x103133),x103134))),f317(x103132,x103133))),f297(x103131,x103135)))+~P1(f317(f317(f319(f905(x103131,x103131)),f317(f317(f242(x103131,x103131),f317(x103132,f317(a102,f556(x103134,x103133,x103135,x103132,x103131)))),f317(x103132,f556(x103134,x103133,x103135,x103132,x103131)))),f297(x103131,x103135))) % 169.26/169.09 [5305]E(x53051,x53052)+~E(f317(f317(f141(x53053),x53054),x53051),f317(f317(f141(x53053),x53055),x53052)) % 169.26/169.09 [5306]E(x53061,x53062)+~E(f317(f317(f141(x53063),x53061),x53064),f317(f317(f141(x53063),x53062),x53065)) % 169.26/169.09 [5348]P1(f317(x53481,x53482))+~E(f317(f126(x53483,x53481),x53484),f317(f317(f141(x53483),x53482),x53485)) % 169.26/169.09 [5349]P1(f317(x53491,x53492))+~E(f317(f317(f141(x53493),x53492),x53494),f317(f126(x53493,x53491),x53495)) % 169.26/169.09 [5510]~E(f317(f317(f128(x55101),x55103),x55102),f317(f317(f141(x55101),x55104),x55105))+E(f317(f317(f154(x55101),x55102),x55103),x55104) % 169.26/169.09 [5650]~P17(x56504,x56505,x56501)+E(f317(f317(x56501,x56502),f317(f317(x56501,x56502),x56503)),f317(f317(x56501,x56502),x56503)) % 169.26/169.09 [6211]~E(x62114,f2(a89))+E(f317(f317(f107(x62111,x62112,x62113),x62114),x62115),f317(f317(f242(f898(x62112),x62111),f103(x62112)),x62115)) % 169.26/169.09 [6286]~P4(x62862)+~E(f317(f317(f138(x62861,x62862,x62863),x62864),x62865),f103(x62861)) % 169.26/169.09 [6684]E(x66841,x66842)+~E(f317(f317(f124(x66843),x66844),f317(f317(f141(x66843),x66841),f103(x66843))),f317(f317(f124(x66843),x66845),f317(f317(f141(x66843),x66842),f103(x66843)))) % 169.26/169.09 [6685]E(x66851,x66852)+~E(f317(f317(f124(x66853),x66851),f317(f317(f141(x66853),x66854),f103(x66853))),f317(f317(f124(x66853),x66852),f317(f317(f141(x66853),x66855),f103(x66853)))) % 169.26/169.09 [7008]E(f317(f317(f299(x70081),f317(x70082,x70083)),f317(f300(x70084,x70081,x70082),x70085)),f317(f300(x70084,x70081,x70082),x70085))+~P1(f317(f317(f319(x70084),x70083),x70085)) % 169.26/169.09 [7015]~P1(f317(x70154,f317(x70153,x70155)))+P1(f317(f317(f301(x70151,x70152,x70153),x70154),x70155)) % 169.26/169.09 [7018]~P1(f317(f317(x70183,x70185),x70184))+P1(f317(f317(f233(x70181,x70182,x70183),x70184),x70185)) % 169.26/169.09 [7115]~E(f317(f300(x71151,x71152,x71153),x71154),x71155)+E(f317(f300(f906(x71151,a894),f906(x71152,a894),f300(x71151,x71152,x71153)),f317(f298(x71151),x71154)),f317(f298(x71152),x71155)) % 169.26/169.09 [7143]E(f317(f261(x71431,x71432,x71433,x71434),x71435),f317(x71434,x71435))+~P1(f317(f317(f319(x71431),x71435),x71433)) % 169.26/169.09 [7457]P27(x74571,x74572,x74573,x74574)+~P27(x74571,x74572,x74573,f317(f317(f299(x74571),x74575),x74574)) % 169.26/169.09 [7562]~P1(f317(f317(f319(x75624),x75623),x75625))+P1(f317(f317(f319(x75621),f317(x75622,x75623)),f317(f300(x75624,x75621,x75622),x75625))) % 169.26/169.09 [7583]~P4(x75832)+E(f140(x75831,x75832,x75833,f317(f126(x75831,x75834),x75835)),f317(f126(x75831,x75834),f140(x75831,x75832,x75833,x75835))) % 169.26/169.09 [7614]P1(f317(x76141,f317(x76142,x76143)))+~P1(f317(f317(f301(x76144,x76145,x76142),x76141),x76143)) % 169.26/169.09 [7617]P1(f317(f317(x76171,x76172),x76173))+~P1(f317(f317(f233(x76174,x76175,x76171),x76173),x76172)) % 169.26/169.09 [7683]~P1(f317(f317(f319(x76833),f317(x76834,x76832)),x76835))+P1(f317(f317(f319(x76831),x76832),f317(f301(x76831,x76833,x76834),x76835))) % 169.26/169.09 [8081]~P1(f317(f317(f319(x80815),x80813),f317(f301(x80815,x80811,x80812),x80814)))+P1(f317(f317(f319(x80811),f317(x80812,x80813)),x80814)) % 169.26/169.09 [8380]~P19(x83802,x83801,x83803)+E(f317(f132(x83801,x83802,f317(f7(x83802,x83801,x83801),x83803),x83804),f142(x83802,x83805)),f317(f317(f58(x83802,x83801,x83803),x83804),f317(f162(x83802),x83805))) % 169.26/169.09 [8402]E(f317(x84021,f332(x84022,x84021,x84023,x84024)),x84024)+~P1(f317(f317(f319(x84025),x84024),f317(f300(x84023,x84025,x84021),x84022))) % 169.26/169.09 [8705]~E(x87052,f317(f317(f141(x87051),x87054),x87055))+P1(f317(f317(f319(f905(f898(x87051),f898(x87051))),f317(f317(f242(f898(x87051),f898(x87051)),f103(x87051)),x87052)),f137(x87051,x87053))) % 169.26/169.09 [8751]E(f317(x87511,f317(f85(x87512,x87513,x87514,x87511),x87515)),x87515)+~P1(f317(f317(f319(x87513),x87515),f317(f300(x87512,x87513,x87511),x87514))) % 169.26/169.09 [8754]P27(x87541,x87542,f85(x87542,x87541,x87543,x87544),x87545)+~P1(f317(f317(f224(f906(x87541,a894)),x87545),f317(f300(x87542,x87541,x87544),x87543))) % 169.26/169.09 [8761]~P36(x87611,x87613,x87615,x87612,x87614)+E(f317(f179(f898(x87611)),x87612),f317(f179(f898(x87613)),x87614)) % 169.26/169.09 [8772]P1(f317(f317(f224(f906(x87721,a894)),f317(f317(f35(x87722,f906(x87721,a894)),x87723),x87724)),f317(x87724,x87725)))+~P1(f317(f317(f319(x87722),x87725),x87723)) % 169.26/169.09 [8826]~P59(x88261,x88262,x88263,x88265,x88264)+E(f317(f300(x88261,x88262,x88263),f232(f906(x88261,a894))),x88264) % 169.26/169.09 [9051]E(f317(f126(x90511,x90512),f720(x90513,x90514,x90515,x90512,x90511)),x90513)+~E(f317(f126(x90511,x90512),x90515),f317(f317(f141(x90511),x90514),x90513)) % 169.26/169.09 [9052]E(f317(f126(x90521,x90522),f725(x90523,x90522,x90524,x90525,x90521)),x90524)+~E(f317(f317(f141(x90521),x90525),x90524),f317(f126(x90521,x90522),x90523)) % 169.26/169.09 [9144]E(f317(f179(f898(x91441)),x91442),x91443)+~P1(f317(f317(f319(f905(f898(x91441),f898(x91441))),f317(f317(f242(f898(x91441),f898(x91441)),x91444),x91442)),f317(f133(x91441,x91445),x91443))) % 169.26/169.09 [9145]E(f317(f179(f898(x91451)),x91452),x91453)+~P1(f317(f317(f319(f905(f898(x91451),f898(x91451))),f317(f317(f242(f898(x91451),f898(x91451)),x91452),x91454)),f317(f133(x91451,x91455),x91453))) % 169.26/169.09 [9214]P1(f317(f317(f319(x92141),f332(x92142,x92143,x92141,x92144)),x92142))+~P1(f317(f317(f319(x92145),x92144),f317(f300(x92141,x92145,x92143),x92142))) % 169.26/169.09 [9375]E(f317(f300(x93751,x93752,x93753),f549(x93754,x93753,x93751,x93755,x93752)),x93755)+~P1(f317(f317(f224(f906(x93752,a894)),x93755),f317(f300(x93751,x93752,x93753),x93754))) % 169.26/169.09 [9697]P1(f317(f317(f319(f905(f898(x96971),f898(x96971))),f317(f317(f242(f898(x96971),f898(x96971)),f317(f317(f141(x96971),x96972),x96973)),f317(f317(f141(x96971),x96972),x96974))),f297(f898(x96971),f147(x96971,x96975))))+~P1(f317(f317(f319(f905(f898(x96971),f898(x96971))),f317(f317(f242(f898(x96971),f898(x96971)),x96973),x96974)),f297(f898(x96971),f147(x96971,x96975)))) % 169.26/169.09 [9728]~E(f317(x97283,f673(x97285,x97284,x97283,x97282,x97281)),f317(x97285,f673(x97285,x97284,x97283,x97282,x97281)))+E(f317(f317(f144(x97281,x97282),x97283),x97284),f317(f317(f144(x97281,x97282),x97285),x97284)) % 169.26/169.09 [9803]~E(f317(f126(x98031,x98035),x98034),f317(f317(f141(x98031),x98033),x98032))+E(f317(f317(f124(x98031),f721(x98032,x98033,x98034,x98035,x98031)),f317(f317(f141(x98031),x98033),f720(x98032,x98033,x98034,x98035,x98031))),x98034) % 169.26/169.09 [9804]~E(f317(f317(f141(x98041),x98045),x98044),f317(f126(x98041,x98043),x98042))+E(f317(f317(f124(x98041),f726(x98042,x98043,x98044,x98045,x98041)),f317(f317(f141(x98041),x98045),f725(x98042,x98043,x98044,x98045,x98041))),x98042) % 169.26/169.09 [9808]E(f317(f317(f144(x98081,x98082),x98083),x98084),f317(f317(f144(x98081,x98082),x98085),x98084))+P1(f317(f317(f319(x98081),f673(x98083,x98084,x98085,x98082,x98081)),f317(f162(x98081),x98084))) % 169.26/169.09 [9838]~P1(f317(f317(f319(x98385),x98384),f317(f275(x98381,x98385,x98383),x98382)))+P1(f317(f317(f319(x98381),f352(x98382,x98383,x98381,x98384,x98385)),x98382)) % 169.26/169.09 [9839]~P1(f317(f317(f319(x98395),x98394),f317(f275(x98391,x98395,x98393),x98392)))+P1(f317(f317(f319(x98391),f392(x98392,x98393,x98391,x98394,x98395)),x98392)) % 169.26/169.09 [9869]~P1(f317(f317(f224(f906(x98695,a894)),x98694),f317(f300(x98691,x98695,x98693),x98692)))+P1(f317(f317(f224(f906(x98691,a894)),f549(x98692,x98693,x98691,x98694,x98695)),x98692)) % 169.26/169.09 [10314]E(x103141,f2(a89))+E(f213(f905(f898(x103142),x103143),f905(x103142,x103143),f317(f317(f242(f898(x103142),x103143),f103(x103142)),x103144),f317(f247(x103142,x103143,f905(f898(x103142),x103143)),f317(f317(f7(x103142,f906(x103143,f905(f898(x103142),x103143)),f906(x103143,f905(f898(x103142),x103143))),f317(f317(f8(f906(f905(f898(x103142),x103143),f905(f898(x103142),x103143)),f906(f906(x103143,f905(f898(x103142),x103143)),f906(x103143,f905(f898(x103142),x103143))),x103142),f8(f905(f898(x103142),x103143),f905(f898(x103142),x103143),x103143)),f317(f317(f8(f906(f898(x103142),f906(x103143,f905(f898(x103142),x103143))),f906(f905(f898(x103142),x103143),f905(f898(x103142),x103143)),x103142),f247(f898(x103142),x103143,f905(f898(x103142),x103143))),f317(f317(f8(f906(f898(x103142),f898(x103142)),f906(f898(x103142),f906(x103143,f905(f898(x103142),x103143))),x103142),f317(f8(f898(x103142),f906(x103143,f905(f898(x103142),x103143)),f898(x103142)),f242(f898(x103142),x103143))),f141(x103142))))),f317(f107(x103143,x103142,x103145),f317(f317(f23(a89),x103141),f72(a89))))),f317(x103145,x103144)),f317(f317(f107(x103143,x103142,x103145),x103141),x103144)) % 169.26/169.09 [6089]E(x60891,x60892)+~E(f317(f246(x60893,x60894),f317(f317(f242(x60893,x60894),x60895),x60891)),x60892) % 169.26/169.09 [6090]E(x60901,x60902)+~E(f317(f241(x60903,x60904),f317(f317(f242(x60903,x60904),x60901),x60905)),x60902) % 169.26/169.09 [6362]~E(x63623,f317(f317(f124(x63621),x63624),f317(f317(f141(x63621),x63622),x63625)))+P1(f317(f317(f319(x63621),x63622),f317(f162(x63621),x63623))) % 169.26/169.09 [6771]E(f317(f300(x67711,x67712,f317(f16(x67712,x67711),x67713)),x67714),f317(f317(f299(x67712),x67713),f178(f906(x67712,a894))))+~P1(f317(f317(f319(x67711),x67715),x67714)) % 169.26/169.09 [6845]E(f317(f317(f91(f906(x68451,a894)),f317(f162(x68451),x68452)),f317(f162(x68451),x68453)),f317(f162(x68451),x68454))+~E(f156(x68451,x68455,x68454),f317(f317(f242(f898(x68451),f898(x68451)),x68452),x68453)) % 169.26/169.09 [6946]~P4(x69462)+E(f317(f179(f898(x69461)),f317(f317(f138(x69461,x69462,x69463),x69464),x69465)),f317(a102,f317(f179(f898(x69461)),x69465))) % 169.26/169.09 [6960]~P4(x69602)+E(f317(f162(x69601),f317(f317(f138(x69601,x69602,x69603),x69604),x69605)),f317(f317(f299(x69601),x69604),f317(f162(x69601),x69605))) % 169.26/169.09 [7237]~P112(x72371)+E(f317(f317(f74(x72371),f317(f317(f74(x72371),x72372),x72373)),f317(f317(f74(x72371),x72374),x72375)),f317(f317(f74(x72371),f317(f317(f74(x72371),x72372),x72374)),f317(f317(f74(x72371),x72373),x72375))) % 169.26/169.09 [7238]~P112(x72381)+E(f317(f317(f75(x72381),f317(f317(f75(x72381),x72382),x72383)),f317(f317(f75(x72381),x72384),x72385)),f317(f317(f75(x72381),f317(f317(f75(x72381),x72382),x72384)),f317(f317(f75(x72381),x72383),x72385))) % 169.26/169.09 [7239]~P64(x72391)+E(f317(f317(f281(x72391),f317(f317(f75(x72391),x72392),x72393)),f317(f317(f75(x72391),x72394),x72395)),f317(f317(f75(x72391),f317(f317(f281(x72391),x72392),x72394)),f317(f317(f281(x72391),x72393),x72395))) % 169.26/169.09 [7253]~P4(x72531)+E(f296(x72531,f317(f317(f223(x72531),x72532),x72533),f317(f317(f228(x72531),x72534),x72535)),f317(f317(f92(f906(x72531,a894)),f296(x72531,x72532,x72534)),f296(x72531,x72533,x72535))) % 169.26/169.09 [7254]~P4(x72541)+E(f295(x72541,f317(f317(f223(x72541),x72542),x72543),f317(f317(f228(x72541),x72544),x72545)),f317(f317(f92(f906(x72541,a894)),f295(x72541,x72542,x72544)),f295(x72541,x72543,x72545))) % 169.26/169.09 [7255]~P4(x72551)+E(f293(x72551,f317(f317(f223(x72551),x72552),x72553),f317(f317(f228(x72551),x72554),x72555)),f317(f317(f92(f906(x72551,a894)),f293(x72551,x72552,x72554)),f293(x72551,x72553,x72555))) % 169.26/169.09 [7256]~P4(x72561)+E(f317(f317(f92(f906(x72561,a894)),f317(f292(x72561,x72562),x72563)),f317(f292(x72561,x72564),x72565)),f317(f292(x72561,f317(f317(f223(x72561),x72562),x72564)),f317(f317(f228(x72561),x72563),x72565))) % 169.26/169.09 [7376]~P1(f317(x73761,f874(x73763,x73762,x73761)))+P1(f317(x73761,f317(f317(f242(x73762,x73763),x73764),x73765))) % 169.26/169.09 [7488]~E(x74882,f317(x74884,x74885))+P1(f317(f317(f319(x74881),x74882),f317(f300(x74883,x74881,x74884),f232(f906(x74883,a894))))) % 169.26/169.09 [7560]~P17(x75603,x75602,x75604)+P17(x75601,x75602,f317(f317(f8(x75603,f906(x75602,x75602),x75601),x75604),x75605)) % 169.26/169.09 [7561]~P19(x75613,x75612,x75614)+P19(x75611,x75612,f317(f317(f8(x75613,f906(x75612,x75612),x75611),x75614),x75615)) % 169.26/169.09 [7700]~P27(x77001,x77002,x77003,x77004)+P27(x77001,x77002,x77003,f317(f317(f23(f906(x77001,a894)),x77004),x77005)) % 169.26/169.09 [7857]~P1(f317(f317(x78573,x78574),x78575))+P1(f317(f317(f247(x78571,x78572,a894),x78573),f317(f317(f242(x78571,x78572),x78574),x78575))) % 169.26/169.09 [7971]~P1(f317(x79712,x79714))+~E(f317(f317(f128(x79711),f317(f179(f898(x79711)),f167(x79711,x79712,x79713))),x79713),f317(f317(f141(x79711),x79714),x79715)) % 169.26/169.09 [7991]P27(x79911,x79912,x79913,x79914)+~P27(x79911,x79912,x79913,f317(f317(f91(f906(x79911,a894)),x79915),x79914)) % 169.26/169.09 [7992]P27(x79921,x79922,x79923,x79924)+~P27(x79921,x79922,x79923,f317(f317(f91(f906(x79921,a894)),x79924),x79925)) % 169.26/169.09 [8039]~P4(x80392)+E(f317(f317(f138(x80391,x80392,x80393),x80394),f140(x80391,x80392,x80393,x80395)),f140(x80391,x80392,x80393,f317(f317(f141(x80391),x80394),x80395))) % 169.26/169.09 [8357]~P17(x83572,x83571,x83573)+E(f317(f132(x83571,x83572,f317(f7(x83572,x83571,x83571),x83573),x83574),x83575),f317(f317(f58(x83572,x83571,x83573),x83574),f317(f162(x83572),x83575))) % 169.26/169.09 [8385]~E(f317(f317(f128(x83851),f317(f179(f898(x83851)),f167(x83851,x83852,x83853))),x83853),f317(f317(f141(x83851),x83854),x83855))+E(f317(f317(f124(x83851),f167(x83851,x83852,x83853)),f317(f317(f141(x83851),x83854),x83855)),x83853) % 169.26/169.09 [8412]P1(f317(f317(x84121,x84122),x84123))+~P1(f317(f317(f247(x84124,x84125,a894),x84121),f317(f317(f242(x84124,x84125),x84122),x84123))) % 169.26/169.09 [8889]P1(f317(f317(f224(f906(x88891,a894)),f317(f300(x88892,x88891,x88893),x88894)),f317(f300(x88892,x88891,x88893),x88895)))+~P1(f317(f317(f224(f906(x88892,a894)),x88894),x88895)) % 169.26/169.09 [8890]P1(f317(f317(f224(f906(x88901,a894)),f317(f301(x88901,x88902,x88903),x88904)),f317(f301(x88901,x88902,x88903),x88905)))+~P1(f317(f317(f224(f906(x88902,a894)),x88904),x88905)) % 169.26/169.09 [8969]E(x89691,f2(a89))+E(f317(f317(f249(x89692,x89693,x89692,f905(x89693,x89692)),f317(x89694,x89695)),f263(x89693,x89692,f317(f317(f23(a89),x89691),f72(a89)),x89694)),f317(f263(x89693,x89692,x89691,x89694),x89695)) % 169.26/169.09 [9076]P1(f317(f317(f245(x90761,x90762,a894,x90763),x90764),x90765))+~P1(f317(x90763,f317(f317(f242(x90761,x90762),x90764),x90765))) % 169.26/169.09 [9353]~P1(f317(f317(f245(x93532,x93533,a894,x93531),x93534),x93535))+P1(f317(x93531,f317(f317(f242(x93532,x93533),x93534),x93535))) % 169.26/169.09 [9539]~P1(f317(f317(f319(x95392),x95395),f317(f300(x95391,x95392,x95394),x95393)))+P1(f317(f317(f319(x95391),f317(f85(x95391,x95392,x95393,x95394),x95395)),x95393)) % 169.26/169.09 [9638]~P1(f317(f28(x96383),f317(f300(x96382,x96383,x96385),f232(f906(x96382,a894)))))+P1(f317(f28(x96381),f317(f300(x96382,x96381,f317(f317(f8(x96383,x96381,x96382),x96384),x96385)),f232(f906(x96382,a894))))) % 169.26/169.09 [9664]P1(f317(f317(f224(f906(f906(x96641,a894),a894)),f317(f300(f906(x96642,a894),f906(x96641,a894),f300(x96642,x96641,x96643)),f317(f298(x96642),x96644))),f317(f298(x96641),x96645)))+~P1(f317(f317(f224(f906(x96641,a894)),f317(f300(x96642,x96641,x96643),x96644)),x96645)) % 169.26/169.09 [9736]E(x97361,x97362)+~P1(f317(f60(x97363,x97364,x97365,x97361,f178(f906(x97363,a894))),x97362)) % 169.26/169.09 [9752]E(f317(f317(f242(x97521,x97522),f480(x97523,x97524,x97525,x97522,x97521)),f481(x97523,x97524,x97525,x97522,x97521)),x97525)+~P1(f317(f317(f319(f905(x97521,x97522)),x97525),f317(f317(f244(x97521,x97522),x97524),x97523))) % 169.26/169.09 [9844]P1(f317(f317(f319(x98441),f480(x98442,x98443,x98444,x98445,x98441)),x98443))+~P1(f317(f317(f319(f905(x98441,x98445)),x98444),f317(f317(f244(x98441,x98445),x98443),x98442))) % 169.26/169.09 [10000]P1(f317(f317(f319(x100001),f481(x100002,x100003,x100004,x100001,x100005)),f317(x100002,f480(x100002,x100003,x100004,x100001,x100005))))+~P1(f317(f317(f319(f905(x100005,x100001)),x100004),f317(f317(f244(x100005,x100001),x100003),x100002))) % 169.26/169.09 [10020]P1(f317(f317(f319(f905(x100201,x100201)),f317(f317(f242(x100201,x100201),x100202),f574(x100203,x100204,x100205,x100202,x100201))),x100203))+~P1(f317(f317(f319(f905(x100201,x100201)),f317(f317(f242(x100201,x100201),x100202),x100205)),f317(f317(f173(f905(x100201,x100201),a894),f317(a102,x100204)),x100203))) % 169.26/169.09 [10021]P1(f317(f317(f319(f905(x100211,x100211)),f317(f317(f242(x100211,x100211),x100212),f576(x100213,x100214,x100215,x100212,x100211))),x100213))+~P1(f317(f317(f319(f905(x100211,x100211)),f317(f317(f242(x100211,x100211),x100212),x100215)),f317(f317(f173(f905(x100211,x100211),a894),f317(a102,x100214)),x100213))) % 169.26/169.09 [10038]~P1(f317(f317(f319(f905(f898(x100381),f898(x100381))),f317(f317(f242(f898(x100381),f898(x100381)),f317(f317(f141(x100381),x100382),x100385)),x100384)),f148(x100381,x100383)))+P1(f317(f317(f319(f905(x100381,x100381)),f317(f317(f242(x100381,x100381),x100382),f633(x100383,x100384,x100385,x100382,x100381))),x100383)) % 169.26/169.09 [6442]P1(f317(x64422,x64424))+E(f167(x64421,x64422,f317(f317(f124(x64421),x64423),f317(f317(f141(x64421),x64424),x64425))),f167(x64421,x64422,x64423)) % 169.26/169.09 [6491]~P69(x64912)+E(f317(f317(f317(f23(f906(x64911,x64912)),x64913),x64914),x64915),f317(f317(f23(x64912),f317(x64913,x64915)),f317(x64914,x64915))) % 169.26/169.09 [6493]~P101(x64932)+E(f317(f317(f317(f91(f906(x64931,x64932)),x64933),x64934),x64935),f317(f317(f91(x64932),f317(x64933,x64935)),f317(x64934,x64935))) % 169.26/169.09 [6495]~P101(x64952)+E(f317(f317(f317(f92(f906(x64951,x64952)),x64953),x64954),x64955),f317(f317(f92(x64952),f317(x64953,x64955)),f317(x64954,x64955))) % 169.26/169.09 [6515]E(x65151,x65152)+E(f317(f317(f154(x65153),f317(f317(f149(x65153,x65154),x65151),x65155)),x65152),f317(f317(f154(x65153),x65154),x65152)) % 169.26/169.09 [6789]~E(x67894,f178(f906(x67893,a894)))+E(f317(f317(f23(f906(x67891,a894)),x67892),f317(f317(f34(x67893,f906(x67891,a894)),x67894),x67895)),x67892) % 169.26/169.09 [6790]~E(x67904,f178(f906(x67903,a894)))+E(f317(f317(f91(f906(x67901,a894)),x67902),f317(f317(f34(x67903,f906(x67901,a894)),x67904),x67905)),x67902) % 169.26/169.09 [6791]~E(x67914,f178(f906(x67913,a894)))+E(f317(f317(f92(f906(x67911,a894)),x67912),f317(f317(f35(x67913,f906(x67911,a894)),x67914),x67915)),x67912) % 169.26/169.09 [6807]~E(x68074,f178(f906(x68073,a894)))+E(f317(f317(f299(x68071),x68072),f317(f317(f34(x68073,f906(x68071,a894)),x68074),x68075)),f317(f317(f299(x68071),x68072),f178(f906(x68071,a894)))) % 169.26/169.09 [7606]E(f317(f317(f154(x76061),f317(f317(f144(x76062,x76061),x76063),x76064)),x76065),f317(x76063,f317(f317(f154(x76062),x76064),x76065)))+~P1(f317(f317(f225(a897),x76065),f317(f179(f898(x76062)),x76064))) % 169.26/169.09 [7671]E(f317(f317(f91(f906(x76711,a894)),f317(x76712,x76713)),f317(f317(f34(x76714,f906(x76711,a894)),x76715),x76712)),f317(f317(f34(x76714,f906(x76711,a894)),x76715),x76712))+~P1(f317(f317(f319(x76714),x76713),x76715)) % 169.26/169.09 [7672]E(f317(f317(f92(f906(x76721,a894)),f317(x76722,x76723)),f317(f317(f35(x76724,f906(x76721,a894)),x76725),x76722)),f317(f317(f35(x76724,f906(x76721,a894)),x76725),x76722))+~P1(f317(f317(f319(x76724),x76723),x76725)) % 169.26/169.09 [8279]~E(x82793,f178(f906(x82791,a894)))+E(f317(f317(f34(x82791,f906(x82792,a894)),x82793),f317(f317(f8(f906(x82792,a894),f906(x82792,a894),x82791),f317(f299(x82792),x82794)),x82795)),f178(f906(x82792,a894))) % 169.26/169.09 [8284]~P1(f317(f317(f319(x82844),x82843),x82845))+P1(f317(f317(f224(f906(x82841,a894)),f317(x82842,x82843)),f317(f317(f34(x82844,f906(x82841,a894)),x82845),x82842))) % 169.26/169.09 [8411]~E(f317(x84114,x84112),x84115)+P1(f317(f317(f319(x84111),x84112),f317(f301(x84111,x84113,x84114),f317(f317(f299(x84113),x84115),f178(f906(x84113,a894)))))) % 169.26/169.09 [8458]~P57(x84581,x84582,f317(f276(x84582,x84581),x84583))+E(f317(f317(f92(f906(x84581,a894)),f317(f275(x84582,x84581,x84583),x84584)),f317(f275(x84582,x84581,x84583),x84585)),f317(f275(x84582,x84581,x84583),f317(f317(f92(f906(x84582,a894)),x84584),x84585))) % 169.26/169.09 [8534]E(x85341,f2(a89))+E(f317(f108(x85342,x85343,f317(x85344,f317(f317(f23(a89),x85341),f72(a89)))),f317(f317(f7(x85342,a89,f899(x85343)),x85345),x85341)),f317(f188(x85342,x85343,x85344,x85345),x85341)) % 169.26/169.09 [8572]E(x85721,f178(f906(x85722,a894)))+E(f317(f317(f34(x85722,f906(x85723,a894)),x85721),f317(f317(f8(f906(x85723,a894),f906(x85723,a894),x85722),f317(f299(x85723),x85724)),x85725)),f317(f317(f299(x85723),x85724),f317(f317(f34(x85722,f906(x85723,a894)),x85721),x85725))) % 169.26/169.09 [8623]~P27(x86232,x86231,x86233,f232(f906(x86232,a894)))+E(f317(f317(f23(f906(x86231,a894)),f317(f300(x86232,x86231,x86233),x86234)),f317(f300(x86232,x86231,x86233),x86235)),f317(f300(x86232,x86231,x86233),f317(f317(f23(f906(x86232,a894)),x86234),x86235))) % 169.26/169.09 [8624]~P27(x86242,x86241,x86243,f232(f906(x86242,a894)))+E(f317(f317(f92(f906(x86241,a894)),f317(f300(x86242,x86241,x86243),x86244)),f317(f300(x86242,x86241,x86243),x86245)),f317(f300(x86242,x86241,x86243),f317(f317(f92(f906(x86242,a894)),x86244),x86245))) % 169.26/169.09 [8692]~P1(f317(f317(f61(x86921,x86922,x86925),x86923),x86924))+P1(f317(f317(f319(f905(x86921,x86922)),f317(f317(f242(x86921,x86922),x86923),x86924)),x86925)) % 169.26/169.09 [8724]P1(f317(f317(f319(x87241),x87242),f317(f274(x87243,x87241),x87244)))+~P1(f317(f317(f319(f905(x87243,x87241)),f317(f317(f242(x87243,x87241),x87245),x87242)),x87244)) % 169.26/169.09 [8726]P1(f317(f317(f319(x87261),x87262),f317(f254(x87261,x87263),x87264)))+~P1(f317(f317(f319(f905(x87261,x87263)),f317(f317(f242(x87261,x87263),x87262),x87265)),x87264)) % 169.26/169.09 [8873]P1(f317(f317(f61(x88731,x88732,x88733),x88734),x88735))+~P1(f317(f317(f319(f905(x88731,x88732)),f317(f317(f242(x88731,x88732),x88734),x88735)),x88733)) % 169.26/169.09 [8912]E(f317(x89121,x89122),x89123)+~P1(f317(f317(f319(x89124),x89122),f317(f301(x89124,x89125,x89121),f317(f317(f299(x89125),x89123),f178(f906(x89125,a894)))))) % 169.26/169.09 [9141]P1(f317(f317(f319(f905(x91411,x91412)),f317(f317(f242(x91411,x91412),x91413),x91414)),f317(f276(x91412,x91411),x91415)))+~P1(f317(f317(f319(f905(x91412,x91411)),f317(f317(f242(x91412,x91411),x91414),x91413)),x91415)) % 169.26/169.09 [9159]~P1(f317(f317(x91591,x91595),x91594))+P1(f317(f317(x91591,f317(f246(x91592,x91593),f317(f317(f242(x91592,x91593),x91594),x91595))),f317(f241(x91592,x91593),f317(f317(f242(x91592,x91593),x91594),x91595)))) % 169.26/169.09 [9189]~P1(f317(f317(f319(f905(x91892,x91891)),f317(f317(f242(x91892,x91891),x91894),x91893)),f317(f276(x91891,x91892),x91895)))+P1(f317(f317(f319(f905(x91891,x91892)),f317(f317(f242(x91891,x91892),x91893),x91894)),x91895)) % 169.26/169.09 [9221]~P1(f317(f317(f319(f905(x92213,x92211)),f317(f317(f242(x92213,x92211),x92215),x92212)),x92214))+P1(f317(f317(f319(x92211),x92212),f317(f275(x92213,x92211,x92214),f317(f317(f299(x92213),x92215),f178(f906(x92213,a894)))))) % 169.26/169.09 [9268]P1(f317(f317(f319(f905(x92681,x92682)),f317(f317(f242(x92681,x92682),x92683),x92684)),x92685))+~P1(f317(f317(f319(x92682),x92684),f317(f275(x92681,x92682,x92685),f317(f317(f299(x92681),x92683),f178(f906(x92681,a894)))))) % 169.26/169.09 [9360]~P76(x93601)+E(f317(f317(f6(a897,x93601),x93602),f293(a897,f317(f317(f74(a897),x93603),x93604),f317(f317(f74(a897),x93605),x93604))),f317(f317(f6(a897,x93601),f317(f317(f8(a897,x93601,a897),x93602),f317(f317(f7(a897,a897,a897),f74(a897)),x93604))),f293(a897,x93603,x93605))) % 169.26/169.09 [9380]~P76(x93801)+E(f317(f317(f6(a897,x93801),x93802),f317(f292(a897,f317(f317(f74(a897),x93803),x93804)),f317(f317(f74(a897),x93805),x93804))),f317(f317(f6(a897,x93801),f317(f317(f8(a897,x93801,a897),x93802),f317(f317(f7(a897,a897,a897),f74(a897)),x93804))),f317(f292(a897,x93803),x93805))) % 169.26/169.09 [9439]~P27(x94391,x94392,x94393,f232(f906(x94391,a894)))+E(f317(f317(f144(x94391,x94392),x94393),f317(f126(x94391,f317(f317(f8(a894,a894,x94391),a312),f317(a314,x94394))),x94395)),f317(f126(x94392,f317(f317(f8(a894,a894,x94392),a312),f317(a314,f317(x94393,x94394)))),f317(f317(f144(x94391,x94392),x94393),x94395))) % 169.26/169.09 [9457]~P27(x94571,x94572,x94573,f317(f317(f299(x94571),x94574),f317(f162(x94571),x94575)))+E(f317(f317(f144(x94571,x94572),x94573),f317(f126(x94571,f317(f317(f8(a894,a894,x94571),a312),f317(a314,x94574))),x94575)),f317(f126(x94572,f317(f317(f8(a894,a894,x94572),a312),f317(a314,f317(x94573,x94574)))),f317(f317(f144(x94571,x94572),x94573),x94575))) % 169.26/169.09 [9626]P1(f317(f317(f319(f905(f898(x96261),f898(x96261))),f317(f317(f242(f898(x96261),f898(x96261)),f317(f317(f141(x96261),x96262),x96263)),f317(f317(f141(x96261),x96264),x96263))),f147(x96261,x96265)))+~P1(f317(f317(f319(f905(x96261,x96261)),f317(f317(f242(x96261,x96261),x96262),x96264)),x96265)) % 169.26/169.09 [9747]E(f317(f317(f299(x97471),f659(x97472,x97473,x97474,x97475,x97471)),f670(x97472,x97473,x97474,x97475,x97471)),f317(f317(f299(x97471),x97474),x97473))+~P1(f317(f56(x97471,x97475,f317(f317(f299(x97471),x97474),x97473)),x97472)) % 169.26/169.09 [9748]E(f317(f317(f299(x97481),f677(x97482,x97483,x97484,x97485,x97481)),f693(x97482,x97483,x97484,x97485,x97481)),f317(f317(f299(x97481),x97484),x97483))+~P1(f317(f56(x97481,x97485,f317(f317(f299(x97481),x97484),x97483)),x97482)) % 169.26/169.09 [9829]P1(f317(f317(f319(x98291),f585(x98292,x98293,x98294,x98295,x98291)),x98294))+P1(f317(f317(f317(f35(x98291,f906(x98295,a894)),x98294),x98293),x98292)) % 169.26/169.09 [9834]P1(f317(f317(f319(x98341),f582(x98342,x98343,x98341,x98344,x98345)),x98343))+P1(f317(f317(f319(x98345),x98344),f317(f317(f35(x98341,f906(x98345,a894)),x98343),x98342))) % 169.26/169.09 [9842]P1(f317(f317(f319(x98421),f586(x98422,x98423,x98421,x98424,x98425)),x98423))+P1(f317(f317(f224(f906(x98425,a894)),x98424),f317(f317(f35(x98421,f906(x98425,a894)),x98423),x98422))) % 169.26/169.09 [9843]P1(f317(f317(f319(x98431),f813(x98432,x98433,x98434,x98435,x98431)),x98435))+P1(f317(f317(f224(f906(x98434,a894)),x98433),f317(f317(f35(x98431,f906(x98434,a894)),x98435),x98432))) % 169.26/169.09 [9845]P1(f317(f317(x98451,f438(x98452,x98451,x98453,x98454,x98455)),x98452))+~P1(f317(f317(f317(f34(x98455,f906(x98454,a894)),x98453),x98451),x98452)) % 169.26/169.09 [9849]P1(f317(f317(f319(x98491),f438(x98492,x98493,x98494,x98495,x98491)),x98494))+~P1(f317(f317(f317(f34(x98491,f906(x98495,a894)),x98494),x98493),x98492)) % 169.26/169.09 [9850]P55(x98504,f317(f317(f35(x98501,f906(x98504,a894)),x98505),x98503),f317(f317(f35(x98501,f906(f905(x98504,x98504),a894)),x98505),x98502))+P1(f317(f317(f319(x98501),f754(x98502,x98503,x98504,x98505,x98501)),x98505)) % 169.26/169.09 [9851]P55(x98514,f317(f317(f34(x98511,f906(x98514,a894)),x98515),x98513),f317(f317(f34(x98511,f906(f905(x98514,x98514),a894)),x98515),x98512))+P1(f317(f317(f319(x98511),f807(x98512,x98513,x98514,x98515,x98511)),x98515)) % 169.26/169.09 [9861]P1(f317(f317(f319(x98611),f443(x98612,x98613,x98611,x98614,x98615)),x98613))+~P1(f317(f317(f319(x98615),x98614),f317(f317(f34(x98611,f906(x98615,a894)),x98613),x98612))) % 169.26/169.09 [9867]P1(f317(f317(f319(x98671),x98672),f317(x98673,f443(x98673,x98674,x98675,x98672,x98671))))+~P1(f317(f317(f319(x98671),x98672),f317(f317(f34(x98675,f906(x98671,a894)),x98674),x98673))) % 169.26/169.09 [9949]~P1(f317(f317(x99494,f585(x99495,x99494,x99493,x99492,x99491)),x99495))+P1(f317(f317(f317(f35(x99491,f906(x99492,a894)),x99493),x99494),x99495)) % 169.26/169.09 [9952]~P1(f317(f317(f319(x99521),x99522),f317(x99525,f582(x99525,x99524,x99523,x99522,x99521))))+P1(f317(f317(f319(x99521),x99522),f317(f317(f35(x99523,f906(x99521,a894)),x99524),x99525))) % 169.26/169.09 [9956]~P55(x99561,f317(x99564,f807(x99565,x99564,x99561,x99563,x99562)),f317(x99565,f807(x99565,x99564,x99561,x99563,x99562)))+P55(x99561,f317(f317(f34(x99562,f906(x99561,a894)),x99563),x99564),f317(f317(f34(x99562,f906(f905(x99561,x99561),a894)),x99563),x99565)) % 169.26/169.09 [9957]~P55(x99571,f317(x99574,f754(x99575,x99574,x99571,x99573,x99572)),f317(x99575,f754(x99575,x99574,x99571,x99573,x99572)))+P55(x99571,f317(f317(f35(x99572,f906(x99571,a894)),x99573),x99574),f317(f317(f35(x99572,f906(f905(x99571,x99571),a894)),x99573),x99575)) % 169.26/169.09 [9958]~P1(f317(f317(f224(f906(x99581,a894)),x99582),f317(x99585,f586(x99585,x99584,x99583,x99582,x99581))))+P1(f317(f317(f224(f906(x99581,a894)),x99582),f317(f317(f35(x99583,f906(x99581,a894)),x99584),x99585))) % 169.26/169.09 [9959]~P1(f317(f317(f224(f906(x99591,a894)),x99592),f317(x99595,f813(x99595,x99592,x99591,x99594,x99593))))+P1(f317(f317(f224(f906(x99591,a894)),x99592),f317(f317(f35(x99593,f906(x99591,a894)),x99594),x99595))) % 169.26/169.09 [10024]~P1(f317(f317(f319(x100241),f659(x100245,x100244,x100243,x100242,x100241)),f670(x100245,x100244,x100243,x100242,x100241)))+~P1(f317(f56(x100241,x100242,f317(f317(f299(x100241),x100243),x100244)),x100245)) % 169.26/169.09 [10025]~P1(f317(f317(f319(x100251),f677(x100255,x100254,x100253,x100252,x100251)),f693(x100255,x100254,x100253,x100252,x100251)))+~P1(f317(f56(x100251,x100252,f317(f317(f299(x100251),x100253),x100254)),x100255)) % 169.26/169.09 [10026]~P1(f317(f317(f319(f905(x100261,x100261)),f317(f317(f242(x100261,x100261),x100262),x100265)),f317(f317(f173(f905(x100261,x100261),a894),f317(a102,x100264)),x100263)))+P1(f317(f317(f319(f905(x100261,x100261)),f317(f317(f242(x100261,x100261),x100262),f575(x100263,x100264,x100265,x100262,x100261))),f317(f317(f173(f905(x100261,x100261),a894),x100264),x100263))) % 169.26/169.09 [10032]P1(f317(f60(x100321,x100321,x100322,f659(x100323,x100324,x100325,x100322,x100321),f670(x100323,x100324,x100325,x100322,x100321)),x100323))+~P1(f317(f56(x100321,x100322,f317(f317(f299(x100321),x100325),x100324)),x100323)) % 169.26/169.09 [10033]P1(f317(f60(x100331,x100331,x100332,f677(x100333,x100334,x100335,x100332,x100331),f693(x100333,x100334,x100335,x100332,x100331)),x100333))+~P1(f317(f56(x100331,x100332,f317(f317(f299(x100331),x100335),x100334)),x100333)) % 169.26/169.09 [10043]~P4(x100431)+P16(x100431,f317(f317(f144(x100432,x100431),x100433),f317(f126(x100432,f317(f317(f7(x100432,x100431,a894),f317(f317(f8(x100431,f906(x100431,a894),x100432),a314),x100433)),f317(x100434,x100435))),x100435))) % 169.26/169.09 [10093]~P1(f317(f317(f319(x100932),x100935),f317(f275(x100931,x100932,x100934),x100933)))+P1(f317(f317(f319(f905(x100931,x100932)),f317(f317(f242(x100931,x100932),f352(x100933,x100934,x100931,x100935,x100932)),x100935)),x100934)) % 169.26/169.09 [10094]~P1(f317(f317(f319(x100942),x100945),f317(f275(x100941,x100942,x100944),x100943)))+P1(f317(f317(f319(f905(x100941,x100942)),f317(f317(f242(x100941,x100942),f392(x100943,x100944,x100941,x100945,x100942)),x100945)),x100944)) % 169.26/169.09 [10114]~P1(f317(f317(f319(f905(x101141,x101141)),f317(f317(f242(x101141,x101141),x101145),x101144)),f317(f317(f173(f905(x101141,x101141),a894),f317(a102,x101143)),x101142)))+P1(f317(f317(f319(f905(x101141,x101141)),f317(f317(f242(x101141,x101141),f575(x101142,x101143,x101144,x101145,x101141)),x101144)),x101142)) % 169.26/169.09 [10117]~P1(f317(f317(f319(f905(x101171,x101171)),f317(f317(f242(x101171,x101171),x101175),x101174)),f317(f317(f173(f905(x101171,x101171),a894),f317(a102,x101173)),x101172)))+P1(f317(f317(f319(f905(x101171,x101171)),f317(f317(f242(x101171,x101171),f574(x101172,x101173,x101174,x101175,x101171)),x101174)),f317(f317(f173(f905(x101171,x101171),a894),x101173),x101172))) % 169.26/169.09 [10118]~P1(f317(f317(f319(f905(x101181,x101181)),f317(f317(f242(x101181,x101181),x101185),x101184)),f317(f317(f173(f905(x101181,x101181),a894),f317(a102,x101183)),x101182)))+P1(f317(f317(f319(f905(x101181,x101181)),f317(f317(f242(x101181,x101181),f576(x101182,x101183,x101184,x101185,x101181)),x101184)),f317(f317(f173(f905(x101181,x101181),a894),x101183),x101182))) % 169.26/169.09 [10119]~P1(f317(f317(f319(f905(f898(x101191),f898(x101191))),f317(f317(f242(f898(x101191),f898(x101191)),x101195),f317(f317(f141(x101191),x101194),x101193))),f148(x101191,x101192)))+P1(f317(f317(f319(f905(x101191,x101191)),f317(f317(f242(x101191,x101191),f632(x101192,x101193,x101194,x101195,x101191)),x101194)),x101192)) % 169.26/169.09 [7692]~E(x76923,f178(f906(x76922,a894)))+E(f317(f317(f91(f906(x76921,a894)),f317(f317(f34(x76922,f906(x76921,a894)),x76923),x76924)),x76925),x76925) % 169.26/169.09 [7693]~E(x76933,f178(f906(x76932,a894)))+E(f317(f317(f92(f906(x76931,a894)),f317(f317(f35(x76932,f906(x76931,a894)),x76933),x76934)),x76935),x76935) % 169.26/169.09 [8120]~E(x81203,f178(f906(x81202,a894)))+E(f317(f317(f23(f906(x81201,a894)),f317(f317(f35(x81202,f906(x81201,a894)),x81203),x81204)),x81205),f317(f317(f23(f906(x81201,a894)),f232(f906(x81201,a894))),x81205)) % 169.26/169.09 [8253]E(f317(f317(f149(x82531,f317(f317(f124(x82531),x82532),x82533)),x82534),x82535),f317(f317(f124(x82531),f317(f317(f149(x82531,x82532),x82534),x82535)),x82533))+~P1(f317(f317(f225(a897),x82534),f317(f179(f898(x82531)),x82532))) % 169.26/169.09 [8524]E(f317(f317(f154(x85241),f317(f317(f144(a897,x85241),x85242),f129(a897,f317(f292(a897,x85243),x85244)))),x85245),f317(x85242,f317(f317(f74(a897),x85243),x85245)))+~P1(f317(f317(f225(a897),x85245),f317(f317(f23(a897),x85244),x85243))) % 169.26/169.09 [8538]E(x85381,f2(a89))+E(f112(x85382,x85383,f317(x85384,f317(f317(f23(a89),x85381),f72(a89))),f317(f317(f7(x85382,a89,f899(f901(x85383))),x85385),x85381)),f317(f186(x85382,x85383,x85384,x85385),x85381)) % 169.26/169.09 [8562]~E(x85623,f178(f906(x85621,a894)))+E(f317(f317(f34(x85621,f906(x85622,a894)),x85623),f317(f317(f8(f906(x85622,a894),f906(x85622,a894),x85621),f317(f91(f906(x85622,a894)),x85624)),x85625)),f178(f906(x85622,a894))) % 169.26/169.09 [8563]~E(x85633,f178(f906(x85631,a894)))+E(f317(f317(f35(x85631,f906(x85632,a894)),x85633),f317(f317(f8(f906(x85632,a894),f906(x85632,a894),x85631),f317(f23(f906(x85632,a894)),x85634)),x85635)),f232(f906(x85632,a894))) % 169.26/169.09 [8564]~E(x85643,f178(f906(x85641,a894)))+E(f317(f317(f35(x85641,f906(x85642,a894)),x85643),f317(f317(f8(f906(x85642,a894),f906(x85642,a894),x85641),f317(f92(f906(x85642,a894)),x85644)),x85645)),f232(f906(x85642,a894))) % 169.26/169.09 [8566]~P145(x85662)+E(f317(f317(f6(x85661,x85662),f317(f317(f8(x85662,x85662,x85661),f317(f75(x85662),x85663)),x85664)),x85665),f317(f317(f75(x85662),x85663),f317(f317(f6(x85661,x85662),x85664),x85665))) % 169.26/169.09 [8857]E(x88571,f178(f906(x88572,a894)))+E(f317(f317(f34(x88572,f906(x88573,a894)),x88571),f317(f317(f8(f906(x88573,a894),f906(x88573,a894),x88572),f317(f91(f906(x88573,a894)),x88574)),x88575)),f317(f317(f91(f906(x88573,a894)),x88574),f317(f317(f34(x88572,f906(x88573,a894)),x88571),x88575))) % 169.26/169.09 [8858]E(x88581,f178(f906(x88582,a894)))+E(f317(f317(f35(x88582,f906(x88583,a894)),x88581),f317(f317(f8(f906(x88583,a894),f906(x88583,a894),x88582),f317(f23(f906(x88583,a894)),x88584)),x88585)),f317(f317(f23(f906(x88583,a894)),x88584),f317(f317(f34(x88582,f906(x88583,a894)),x88581),x88585))) % 169.26/169.09 [8859]E(x88591,f178(f906(x88592,a894)))+E(f317(f317(f35(x88592,f906(x88593,a894)),x88591),f317(f317(f8(f906(x88593,a894),f906(x88593,a894),x88592),f317(f92(f906(x88593,a894)),x88594)),x88595)),f317(f317(f92(f906(x88593,a894)),x88594),f317(f317(f35(x88592,f906(x88593,a894)),x88591),x88595))) % 169.26/169.09 [9058]~P1(f317(f317(f225(a897),f317(x90584,x90582)),f317(x90584,x90583)))+P1(f317(f317(f319(f905(x90581,x90581)),f317(f317(f242(x90581,x90581),x90582),x90583)),f143(x90581,f317(f317(f141(f906(x90581,a897)),x90584),x90585)))) % 169.26/169.09 [9324]~P27(x93242,x93241,x93243,f317(f317(f91(f906(x93242,a894)),x93244),x93245))+E(f317(f317(f92(f906(x93241,a894)),f317(f300(x93242,x93241,x93243),f317(f317(f23(f906(x93242,a894)),x93244),x93245))),f317(f300(x93242,x93241,x93243),f317(f317(f23(f906(x93242,a894)),x93245),x93244))),f178(f906(x93241,a894))) % 169.26/169.09 [9588]~P27(x95883,x95881,x95885,f232(f906(x95883,a894)))+E(f317(f67(x95881,x95882,x95883,f317(f67(x95883,x95882,x95881,x95884),f85(x95883,x95881,f232(f906(x95883,a894)),x95885))),x95885),x95884) % 169.26/169.09 [9622]~P1(f317(f317(f224(f906(x96223,a894)),f317(f275(x96221,x96223,x96224),x96222)),x96225))+P1(f317(f317(f224(f906(x96221,a894)),x96222),f317(f73(f906(x96221,a894)),f317(f275(x96223,x96221,f317(f276(x96221,x96223),x96224)),f317(f73(f906(x96223,a894)),x96225))))) % 169.26/169.09 [9647]~P27(x96471,x96472,x96473,f317(f317(f299(x96471),x96474),x96475))+~P1(f317(f317(f319(x96472),f317(x96473,x96474)),f317(f300(x96471,x96472,x96473),f317(f317(f23(f906(x96471,a894)),x96475),f317(f317(f299(x96471),x96474),f178(f906(x96471,a894))))))) % 169.26/169.09 [9701]P1(f317(f317(f224(f906(x97011,a894)),f317(f275(x97012,x97011,x97013),x97014)),x97015))+~P1(f317(f317(f224(f906(x97012,a894)),x97014),f317(f73(f906(x97012,a894)),f317(f275(x97011,x97012,f317(f276(x97012,x97011),x97013)),f317(f73(f906(x97011,a894)),x97015))))) % 169.26/169.09 [9774]~P89(x97741)+P1(f317(f317(f224(x97741),f317(f70(x97741),f317(f317(f23(x97741),f317(f317(f74(x97741),x97742),x97743)),f317(f317(f74(x97741),x97744),x97745)))),f317(f317(f74(x97741),f317(f70(x97741),f317(f317(f23(x97741),x97742),x97744))),f317(f70(x97741),f317(f317(f23(x97741),x97743),x97745))))) % 169.26/169.09 [9883]P1(f317(f317(f319(x98831),f445(x98832,x98833,x98834,x98831,x98835)),x98834))+P1(f317(f317(f224(f906(x98835,a894)),f317(f317(f34(x98831,f906(x98835,a894)),x98834),x98833)),x98832)) % 169.26/169.09 [10061]~P1(f317(f317(f224(f906(x100611,a894)),f317(x100614,f445(x100615,x100614,x100613,x100612,x100611))),x100615))+P1(f317(f317(f224(f906(x100611,a894)),f317(f317(f34(x100612,f906(x100611,a894)),x100613),x100614)),x100615)) % 169.26/169.09 [8671]E(f317(f317(f124(x86711),x86712),f317(f317(f149(x86711,x86713),f317(f317(f23(a897),x86714),f317(f179(f898(x86711)),x86712))),x86715)),f317(f317(f149(x86711,f317(f317(f124(x86711),x86712),x86713)),x86714),x86715))+P1(f317(f317(f225(a897),x86714),f317(f179(f898(x86711)),x86712))) % 169.26/169.09 [8699]~P141(x86991)+E(f317(f317(f74(x86991),f317(f317(f75(x86991),x86992),x86993)),f317(f317(f74(x86991),f317(f317(f75(x86991),x86994),x86993)),x86995)),f317(f317(f74(x86991),f317(f317(f75(x86991),f317(f317(f74(x86991),x86992),x86994)),x86993)),x86995)) % 169.26/169.09 [9277]~P145(x92771)+E(f317(f155(x92771),f317(f317(f144(x92772,x92771),f317(f317(f8(x92771,x92771,x92772),f317(f75(x92771),x92773)),x92774)),x92775)),f317(f317(f75(x92771),x92773),f317(f155(x92771),f317(f317(f144(x92772,x92771),x92774),x92775)))) % 169.26/169.09 [9456]E(f317(f179(f898(x94561)),f317(f317(f165(x94561),f317(f317(f228(a897),f317(f179(f898(x94561)),x94562)),f317(f179(f898(x94563)),x94564))),x94562)),f317(f179(f898(x94563)),f317(f317(f165(x94563),f317(f317(f228(a897),f317(f179(f898(x94561)),x94562)),f317(f179(f898(x94563)),x94564))),x94564)))+P1(f317(x94565,f317(f317(f171(x94561,x94563),x94562),x94564))) % 169.26/169.09 [9711]~P145(x97112)+E(f317(f317(f6(x97111,x97112),f317(f317(f7(x97111,x97112,x97112),f317(f317(f8(x97112,f906(x97112,x97112),x97111),f75(x97112)),x97113)),x97114)),x97115),f317(f317(f75(x97112),f317(f317(f6(x97111,x97112),x97113),x97115)),x97114)) % 169.26/169.09 [9712]~P65(x97122)+E(f317(f317(f6(x97121,x97122),f317(f317(f7(x97121,x97122,x97122),f317(f317(f8(x97122,f906(x97122,x97122),x97121),f281(x97122)),x97123)),x97124)),x97125),f317(f317(f281(x97122),f317(f317(f6(x97121,x97122),x97123),x97125)),x97124)) % 169.26/169.09 [9719]~P79(x97192)+E(f317(f317(f9(x97191,x97192),f317(f317(f18(x97191,x97192,x97192),f317(f317(f8(x97192,f906(x97192,x97192),x97191),f75(x97192)),x97193)),x97194)),x97195),f317(f317(f75(x97192),f317(f317(f9(x97191,x97192),x97193),x97195)),f317(f317(f9(x97191,x97192),x97194),x97195))) % 169.26/169.09 [9720]~P70(x97202)+E(f317(f317(f6(x97201,x97202),f317(f317(f18(x97201,x97202,x97202),f317(f317(f8(x97202,f906(x97202,x97202),x97201),f23(x97202)),x97203)),x97204)),x97205),f317(f317(f23(x97202),f317(f317(f6(x97201,x97202),x97203),x97205)),f317(f317(f6(x97201,x97202),x97204),x97205))) % 169.26/169.09 [9721]~P76(x97212)+E(f317(f317(f6(x97211,x97212),f317(f317(f18(x97211,x97212,x97212),f317(f317(f8(x97212,f906(x97212,x97212),x97211),f74(x97212)),x97213)),x97214)),x97215),f317(f317(f74(x97212),f317(f317(f6(x97211,x97212),x97213),x97215)),f317(f317(f6(x97211,x97212),x97214),x97215))) % 169.26/169.09 [9759]~E(x97593,f178(f906(x97591,a894)))+E(f317(f317(f34(x97591,f906(x97592,a894)),x97593),f317(f317(f7(x97591,f906(x97592,a894),f906(x97592,a894)),f317(f317(f8(f906(x97592,a894),f906(f906(x97592,a894),f906(x97592,a894)),x97591),f91(f906(x97592,a894))),x97594)),x97595)),f178(f906(x97592,a894))) % 169.26/169.09 [9760]~E(x97603,f178(f906(x97601,a894)))+E(f317(f317(f35(x97601,f906(x97602,a894)),x97603),f317(f317(f7(x97601,f906(x97602,a894),f906(x97602,a894)),f317(f317(f8(f906(x97602,a894),f906(f906(x97602,a894),f906(x97602,a894)),x97601),f23(f906(x97602,a894))),x97604)),x97605)),f232(f906(x97602,a894))) % 169.26/169.09 [9761]~E(x97613,f178(f906(x97611,a894)))+E(f317(f317(f35(x97611,f906(x97612,a894)),x97613),f317(f317(f7(x97611,f906(x97612,a894),f906(x97612,a894)),f317(f317(f8(f906(x97612,a894),f906(f906(x97612,a894),f906(x97612,a894)),x97611),f92(f906(x97612,a894))),x97614)),x97615)),f232(f906(x97612,a894))) % 169.26/169.09 [9782]E(x97821,f178(f906(x97822,a894)))+E(f317(f317(f34(x97822,f906(x97823,a894)),x97821),f317(f317(f7(x97822,f906(x97823,a894),f906(x97823,a894)),f317(f317(f8(f906(x97823,a894),f906(f906(x97823,a894),f906(x97823,a894)),x97822),f91(f906(x97823,a894))),x97824)),x97825)),f317(f317(f91(f906(x97823,a894)),f317(f317(f34(x97822,f906(x97823,a894)),x97821),x97824)),x97825)) % 169.26/169.09 [9783]E(x97831,f178(f906(x97832,a894)))+E(f317(f317(f35(x97832,f906(x97833,a894)),x97831),f317(f317(f7(x97832,f906(x97833,a894),f906(x97833,a894)),f317(f317(f8(f906(x97833,a894),f906(f906(x97833,a894),f906(x97833,a894)),x97832),f23(f906(x97833,a894))),x97834)),x97835)),f317(f317(f23(f906(x97833,a894)),f317(f317(f35(x97832,f906(x97833,a894)),x97831),x97834)),x97835)) % 169.26/169.09 [9784]E(x97841,f178(f906(x97842,a894)))+E(f317(f317(f35(x97842,f906(x97843,a894)),x97841),f317(f317(f7(x97842,f906(x97843,a894),f906(x97843,a894)),f317(f317(f8(f906(x97843,a894),f906(f906(x97843,a894),f906(x97843,a894)),x97842),f92(f906(x97843,a894))),x97844)),x97845)),f317(f317(f92(f906(x97843,a894)),f317(f317(f35(x97842,f906(x97843,a894)),x97841),x97844)),x97845)) % 169.26/169.09 [9329]~P1(f317(f317(f224(a897),x93291),x93294))+E(f317(f317(f23(a897),f317(f317(f74(a897),f317(f317(f75(a897),x93291),x93292)),x93293)),f317(f317(f74(a897),f317(f317(f75(a897),x93294),x93292)),x93295)),f317(f317(f23(a897),x93293),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x93294),x93291)),x93292)),x93295))) % 169.26/169.09 [9932]~P145(x99321)+E(f317(f155(x99321),f317(f317(f144(x99322,x99321),f317(f317(f7(x99322,x99321,x99321),f317(f317(f8(x99321,f906(x99321,x99321),x99322),f75(x99321)),x99323)),x99324)),x99325)),f317(f317(f75(x99321),f317(f155(x99321),f317(f317(f144(x99322,x99321),x99323),x99325))),x99324)) % 169.26/169.09 [9938]~P70(x99381)+E(f317(f155(x99381),f317(f317(f144(x99382,x99381),f317(f317(f18(x99382,x99381,x99381),f317(f317(f8(x99381,f906(x99381,x99381),x99382),f23(x99381)),x99383)),x99384)),x99385)),f317(f317(f23(x99381),f317(f155(x99381),f317(f317(f144(x99382,x99381),x99383),x99385))),f317(f155(x99381),f317(f317(f144(x99382,x99381),x99384),x99385)))) % 169.26/169.09 [9939]~P76(x99391)+E(f317(f155(x99391),f317(f317(f144(x99392,x99391),f317(f317(f18(x99392,x99391,x99391),f317(f317(f8(x99391,f906(x99391,x99391),x99392),f74(x99391)),x99393)),x99394)),x99395)),f317(f317(f74(x99391),f317(f155(x99391),f317(f317(f144(x99392,x99391),x99393),x99395))),f317(f155(x99391),f317(f317(f144(x99392,x99391),x99394),x99395)))) % 169.26/169.09 [10085]P1(f317(x100851,f317(f317(f171(x100852,x100853),x100854),x100855)))+~P1(f317(x100851,f317(f317(f171(x100852,x100853),f317(f317(f165(x100852),f317(f317(f228(a897),f317(f179(f898(x100852)),x100854)),f317(f179(f898(x100853)),x100855))),x100854)),f317(f317(f165(x100853),f317(f317(f228(a897),f317(f179(f898(x100852)),x100854)),f317(f179(f898(x100853)),x100855))),x100855)))) % 169.26/169.09 [10347]~P1(f317(f317(f319(f905(x103472,x103471)),f317(f317(f242(x103472,x103471),x103474),x103475)),f317(f276(x103471,x103472),x103473)))+P1(f317(f317(f233(x103471,x103472,f317(f317(f7(x103471,f906(f905(x103471,x103472),a894),f906(x103472,a894)),f317(f317(f8(f906(x103472,f906(f906(f905(x103471,x103472),a894),a894)),f906(f906(f905(x103471,x103472),a894),f906(x103472,a894)),x103471),f7(x103472,f906(f905(x103471,x103472),a894),a894)),f317(f317(f8(f906(x103472,f905(x103471,x103472)),f906(x103472,f906(f906(f905(x103471,x103472),a894),a894)),x103471),f317(f8(f905(x103471,x103472),f906(f906(f905(x103471,x103472),a894),a894),x103472),f319(f905(x103471,x103472)))),f242(x103471,x103472)))),x103473)),x103474),x103475)) % 169.26/169.09 [10357]P1(f317(f317(f319(f905(x103571,x103572)),f317(f317(f242(x103571,x103572),x103573),x103574)),f317(f276(x103572,x103571),x103575)))+~P1(f317(f317(f233(x103572,x103571,f317(f317(f7(x103572,f906(f905(x103572,x103571),a894),f906(x103571,a894)),f317(f317(f8(f906(x103571,f906(f906(f905(x103572,x103571),a894),a894)),f906(f906(f905(x103572,x103571),a894),f906(x103571,a894)),x103572),f7(x103571,f906(f905(x103572,x103571),a894),a894)),f317(f317(f8(f906(x103571,f905(x103572,x103571)),f906(x103571,f906(f906(f905(x103572,x103571),a894),a894)),x103572),f317(f8(f905(x103572,x103571),f906(f906(f905(x103572,x103571),a894),a894),x103571),f319(f905(x103572,x103571)))),f242(x103572,x103571)))),x103575)),x103573),x103574)) % 169.26/169.09 [9587]~P1(f317(f317(f224(a897),x95874),x95871))+E(f317(f317(f23(a897),f317(f317(f74(a897),f317(f317(f75(a897),x95871),x95872)),x95873)),f317(f317(f74(a897),f317(f317(f75(a897),x95874),x95872)),x95875)),f317(f317(f23(a897),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x95871),x95874)),x95872)),x95873)),x95875)) % 169.26/169.09 [7384]E(x73841,x73842)+~E(f210(x73843,x73844,x73845,x73841),f210(x73843,x73844,x73846,x73842)) % 169.26/169.09 [7385]E(x73851,x73852)+~E(f210(x73853,x73854,x73851,x73855),f210(x73853,x73854,x73852,x73856)) % 169.26/169.09 [8508]~P22(x85085,x85081,x85082,x85086)+E(f317(f67(x85081,x85081,x85081,f317(x85082,x85083)),f317(x85082,x85084)),f317(f67(x85081,x85081,x85081,f317(x85082,x85084)),f317(x85082,x85083))) % 169.26/169.09 [8743]~P59(x87434,x87435,x87432,x87431,x87436)+E(f317(x87431,f317(x87432,x87433)),x87433) % 169.26/169.09 [8910]P27(x89101,x89102,x89103,x89104)+~P27(x89101,x89105,f317(f67(x89102,x89105,x89101,x89106),x89103),x89104) % 169.26/169.09 [8983]~E(x89836,x89834)+E(f317(f69(x89831,x89832,x89833,x89834,x89835),x89836),x89835) % 169.26/169.09 [8989]E(x89891,x89892)+E(f317(f69(x89893,x89894,x89895,x89892,x89896),x89891),f317(x89895,x89891)) % 169.26/169.09 [9001]~P27(x90014,x90012,f317(f67(x90011,x90012,x90014,x90013),x90015),x90016)+P27(x90011,x90012,x90013,f317(f300(x90014,x90011,x90015),x90016)) % 169.26/169.09 [9722]P1(f317(f28(x97221),x97222))+~P1(f317(f60(x97221,x97223,x97224,x97225,x97222),x97226)) % 169.26/169.09 [9731]~P1(f317(f317(f319(x97314),x97313),f287(x97314,x97311,x97315,x97312,x97316)))+P1(f317(f317(x97311,x97312),x97313)) % 169.26/169.09 [9732]~P1(f317(f317(f319(x97324),x97323),f290(x97324,x97325,x97321,x97322,x97326)))+P1(f317(f317(x97321,x97322),x97323)) % 169.26/169.09 [9733]~P1(f317(f317(f319(x97334),x97332),f287(x97334,x97335,x97331,x97336,x97333)))+P1(f317(f317(x97331,x97332),x97333)) % 169.26/169.09 [9734]~P1(f317(f317(f319(x97344),x97342),f290(x97344,x97341,x97345,x97346,x97343)))+P1(f317(f317(x97341,x97342),x97343)) % 169.26/169.09 [10234]P15(x102341,x102342,x102343,x102344,x102345,x102346)+~E(f317(f317(x102346,f824(x102343,x102346,x102345,x102342,x102344,x102341)),f831(x102343,x102346,x102345,x102342,x102344,x102341)),f317(f317(x102346,f825(x102343,x102346,x102345,x102342,x102344,x102341)),f832(x102343,x102346,x102345,x102342,x102344,x102341))) % 169.26/169.09 [5841]E(x58411,x58412)+~E(f317(f317(f242(x58413,x58414),x58415),x58411),f317(f317(f242(x58413,x58414),x58416),x58412)) % 169.26/169.09 [5843]E(x58431,x58432)+~E(f317(f317(f242(x58433,x58434),x58431),x58435),f317(f317(f242(x58433,x58434),x58432),x58436)) % 169.26/169.09 [5988]~P19(x59885,x59886,x59881)+E(f317(f317(x59881,x59882),f317(f317(x59881,x59883),x59884)),f317(f317(x59881,x59883),f317(f317(x59881,x59882),x59884))) % 169.26/169.09 [7451]~P34(x74514,x74511,f317(f317(f141(x74514),x74512),x74515),f317(f317(f141(x74514),x74513),x74516))+P1(f317(f317(x74511,x74512),x74513)) % 169.26/169.09 [7810]P34(x78101,x78102,x78103,x78104)+~P34(x78101,x78102,f317(f317(f141(x78101),x78105),x78103),f317(f317(f141(x78101),x78106),x78104)) % 169.26/169.09 [8847]~P59(x88475,x88471,x88472,x88476,x88474)+P1(f317(f317(f319(x88471),f317(x88472,x88473)),x88474)) % 169.26/169.09 [9049]~E(x90493,f317(f317(f141(x90491),x90495),x90496))+P1(f317(f317(f319(f905(f898(x90491),f898(x90491))),f317(f317(f242(f898(x90491),f898(x90491)),x90492),f317(f317(f124(x90491),x90492),x90493))),f137(x90491,x90494))) % 169.26/169.09 [9283]~P36(x92831,x92832,x92833,x92835,x92836)+P36(x92831,x92832,x92833,f317(f317(f165(x92831),x92834),x92835),f317(f317(f165(x92832),x92834),x92836)) % 169.26/169.09 [9284]~P36(x92841,x92842,x92843,x92845,x92846)+P36(x92841,x92842,x92843,f317(f317(f128(x92841),x92844),x92845),f317(f317(f128(x92842),x92844),x92846)) % 169.26/169.09 [9549]E(f317(f300(x95491,x95492,f69(x95491,x95492,x95493,x95494,x95495)),x95496),f317(f300(x95491,x95492,x95493),x95496))+P1(f317(f317(f319(x95491),x95494),x95496)) % 169.26/169.09 [9552]E(f317(f317(f144(x95521,x95522),f69(x95521,x95522,x95523,x95524,x95525)),x95526),f317(f317(f144(x95521,x95522),x95523),x95526))+P1(f317(f317(f319(x95521),x95524),f317(f162(x95521),x95526))) % 169.26/169.09 [9794]~P26(x97944,x97942,x97945,x97943,x97946,x97941)+E(f317(x97941,f178(f906(x97942,a894))),x97943) % 169.26/169.09 [10027]~E(f317(x100274,f317(f241(x100271,x100273),x100275)),f317(x100276,f317(f241(x100271,x100273),x100275)))+E(f317(f248(x100271,x100272,x100273,x100273,x100274,f25(x100273)),x100275),f317(f248(x100271,x100272,x100273,x100273,x100276,f25(x100273)),x100275)) % 169.26/169.09 [10028]~E(f317(x100284,f317(f246(x100281,x100282),x100285)),f317(x100286,f317(f246(x100281,x100282),x100285)))+E(f317(f248(x100281,x100281,x100282,x100283,f25(x100281),x100284),x100285),f317(f248(x100281,x100281,x100282,x100283,f25(x100281),x100286),x100285)) % 169.26/169.09 [10081]~E(f317(f248(x100812,x100816,x100813,x100813,x100811,f25(x100813)),x100814),f317(f248(x100812,x100816,x100813,x100813,x100815,f25(x100813)),x100814))+E(f317(x100811,f317(f241(x100812,x100813),x100814)),f317(x100815,f317(f241(x100812,x100813),x100814))) % 169.26/169.09 [10082]~E(f317(f248(x100822,x100822,x100823,x100826,f25(x100822),x100821),x100824),f317(f248(x100822,x100822,x100823,x100826,f25(x100822),x100825),x100824))+E(f317(x100821,f317(f246(x100822,x100823),x100824)),f317(x100825,f317(f246(x100822,x100823),x100824))) % 169.26/169.09 [8950]P1(f317(f317(f319(x89501),x89502),x89503))+~P1(f317(f317(f319(f905(x89501,x89504)),f317(f317(f242(x89501,x89504),x89502),x89505)),f317(f317(f244(x89501,x89504),x89503),x89506))) % 169.26/169.09 [8966]P1(f317(f317(f319(x89661),x89662),f317(x89663,x89664)))+~P1(f317(f317(f319(f905(x89665,x89661)),f317(f317(f242(x89665,x89661),x89664),x89662)),f317(f317(f244(x89665,x89661),x89666),x89663))) % 169.26/169.09 [9406]P1(f317(f317(f319(f905(x94061,x94061)),f317(f317(f242(x94061,x94061),f317(x94062,x94063)),f317(x94062,x94064))),x94065))+~P1(f317(f317(f319(f905(x94066,x94066)),f317(f317(f242(x94066,x94066),x94063),x94064)),f317(f317(f278(x94061,x94066),x94065),x94062))) % 169.26/169.09 [9426]~P1(f317(f317(f319(f905(x94264,x94264)),f317(f317(f242(x94264,x94264),f317(x94266,x94262)),f317(x94266,x94263))),x94265))+P1(f317(f317(f319(f905(x94261,x94261)),f317(f317(f242(x94261,x94261),x94262),x94263)),f317(f317(f278(x94264,x94261),x94265),x94266))) % 169.26/169.09 [10084]E(f317(f317(f242(x100841,x100842),f623(x100843,x100844,x100845,x100846,x100842,x100841)),f624(x100843,x100844,x100845,x100846,x100842,x100841)),x100846)+~P1(f317(f317(f319(f905(x100841,x100842)),x100846),f317(f317(f279(x100841,x100845,x100842),x100844),x100843))) % 169.26/169.09 [10305]~P1(f317(f317(f319(f905(x103051,x103056)),x103055),f317(f317(f279(x103051,x103052,x103056),x103054),x103053)))+P1(f317(f317(f319(f905(x103051,x103052)),f317(f317(f242(x103051,x103052),f623(x103053,x103054,x103052,x103055,x103056,x103051)),f626(x103053,x103054,x103052,x103055,x103056,x103051))),x103054)) % 169.26/169.09 [10306]~P1(f317(f317(f319(f905(x103066,x103062)),x103065),f317(f317(f279(x103066,x103061,x103062),x103064),x103063)))+P1(f317(f317(f319(f905(x103061,x103062)),f317(f317(f242(x103061,x103062),f626(x103063,x103064,x103061,x103065,x103062,x103066)),f624(x103063,x103064,x103061,x103065,x103062,x103066))),x103063)) % 169.26/169.09 [10307]P15(x103071,x103072,x103073,x103074,x103075,x103076)+P1(f317(f317(f319(f905(x103072,x103072)),f317(f317(f242(x103072,x103072),f832(x103073,x103076,x103075,x103072,x103074,x103071)),f831(x103073,x103076,x103075,x103072,x103074,x103071))),x103075)) % 169.26/169.09 [10308]P15(x103081,x103082,x103083,x103084,x103085,x103086)+P1(f317(f317(f319(f905(x103081,x103081)),f317(f317(f242(x103081,x103081),f825(x103083,x103086,x103085,x103082,x103084,x103081)),f824(x103083,x103086,x103085,x103082,x103084,x103081))),x103084)) % 169.26/169.09 [7881]~P8(x78812)+E(f317(f317(f34(x78811,x78812),x78813),f317(f317(f7(x78811,x78814,x78812),x78815),x78816)),f317(f317(f317(f34(x78811,f906(x78814,x78812)),x78813),x78815),x78816)) % 169.26/169.09 [7882]~P8(x78822)+E(f317(f317(f35(x78821,x78822),x78823),f317(f317(f7(x78821,x78824,x78822),x78825),x78826)),f317(f317(f317(f35(x78821,f906(x78824,x78822)),x78823),x78825),x78826)) % 169.26/169.09 [8653]E(f317(f317(f34(x86531,f906(x86532,a894)),x86533),f317(f317(f8(f906(x86532,a894),f906(x86532,a894),x86531),f317(f299(x86532),x86534)),x86535)),f317(f317(f299(x86532),x86534),f317(f317(f34(x86531,f906(x86532,a894)),x86533),x86535)))+~P1(f317(f317(f319(x86531),x86536),x86533)) % 169.26/169.09 [9102]~P8(x91022)+E(f317(f317(f34(x91021,x91022),x91023),f317(f317(f8(f906(x91024,x91022),x91022,x91021),f317(f34(x91024,x91022),x91025)),f317(f7(x91024,x91021,x91022),x91026))),f317(f317(f34(x91024,x91022),x91025),f317(f317(f8(f906(x91021,x91022),x91022,x91024),f317(f34(x91021,x91022),x91023)),x91026))) % 169.26/169.09 [9103]~P8(x91032)+E(f317(f317(f35(x91031,x91032),x91033),f317(f317(f8(f906(x91034,x91032),x91032,x91031),f317(f35(x91034,x91032),x91035)),f317(f7(x91034,x91031,x91032),x91036))),f317(f317(f35(x91034,x91032),x91035),f317(f317(f8(f906(x91031,x91032),x91032,x91034),f317(f35(x91031,x91032),x91033)),x91036))) % 169.26/169.09 [9309]P1(f317(f317(f319(x93091),x93092),f317(f162(x93091),x93093)))+~P1(f317(f317(f319(f905(x93094,x93091)),f317(f317(f242(x93094,x93091),x93095),x93092)),f317(f162(f905(x93094,x93091)),f317(f317(f171(x93094,x93091),x93096),x93093)))) % 169.26/169.09 [9310]P1(f317(f317(f319(x93101),x93102),f317(f162(x93101),x93103)))+~P1(f317(f317(f319(f905(x93101,x93104)),f317(f317(f242(x93101,x93104),x93102),x93105)),f317(f162(f905(x93101,x93104)),f317(f317(f171(x93101,x93104),x93103),x93106)))) % 169.26/169.09 [9422]P1(f317(f317(f224(f906(x94221,a894)),f317(f275(x94222,x94221,x94223),x94224)),x94225))+~P1(f317(f317(f224(f906(f905(x94222,x94221),a894)),x94223),f317(f317(f244(x94222,x94221),x94226),f317(f16(f906(x94221,a894),x94222),x94225)))) % 169.26/169.09 [9427]~P28(x94274,x94272,x94275,f232(f906(x94274,a894)),f232(f906(x94272,a894)))+E(f317(f317(f35(x94271,f906(x94272,a894)),x94273),f317(f317(f8(f906(x94274,a894),f906(x94272,a894),x94271),f300(x94274,x94272,x94275)),x94276)),f317(f300(x94274,x94272,x94275),f317(f317(f35(x94271,f906(x94274,a894)),x94273),x94276))) % 169.26/169.09 [9625]P1(f317(f317(f319(f905(f898(x96251),f898(x96251))),f317(f317(f242(f898(x96251),f898(x96251)),f317(f317(f141(x96251),x96252),x96253)),f317(f317(f141(x96251),x96254),x96255))),f137(x96251,x96256)))+~P1(f317(f317(f319(f905(x96251,x96251)),f317(f317(f242(x96251,x96251),x96252),x96254)),x96256)) % 169.26/169.09 [10080]E(f317(f317(f242(x100801,x100802),f525(x100803,x100804,x100805,x100802,x100801,x100806)),f528(x100803,x100804,x100805,x100802,x100801,x100806)),x100806)+P1(f317(f317(f319(x100805),x100804),f317(f317(f247(x100801,x100802,f906(x100805,a894)),x100803),x100806))) % 169.26/169.09 [10086]E(f317(f317(f242(x100861,x100862),f526(x100863,x100864,x100862,x100861,x100865,x100866)),f527(x100863,x100864,x100862,x100861,x100865,x100866)),x100863)+~P1(f317(f317(f319(x100866),x100865),f317(f317(f247(x100861,x100862,f906(x100866,a894)),x100864),x100863))) % 169.26/169.09 [10249]P1(f317(f317(f319(x102491),x102492),f317(f317(x102493,f526(x102494,x102493,x102495,x102496,x102492,x102491)),f527(x102494,x102493,x102495,x102496,x102492,x102491))))+~P1(f317(f317(f319(x102491),x102492),f317(f317(f247(x102496,x102495,f906(x102491,a894)),x102493),x102494))) % 169.26/169.09 [10278]~P1(f317(f317(f319(x102781),x102782),f317(f317(x102785,f525(x102785,x102782,x102781,x102784,x102783,x102786)),f528(x102785,x102782,x102781,x102784,x102783,x102786))))+P1(f317(f317(f319(x102781),x102782),f317(f317(f247(x102783,x102784,f906(x102781,a894)),x102785),x102786))) % 169.26/169.09 [8554]E(x85541,x85542)+E(f317(f317(f149(x85543,f317(f317(f149(x85543,x85544),x85541),x85545)),x85542),x85546),f317(f317(f149(x85543,f317(f317(f149(x85543,x85544),x85542),x85546)),x85541),x85545)) % 169.26/169.09 [9686]~P1(f317(f317(f319(x96863),x96866),x96865))+E(f317(f317(f299(x96861),x96862),f317(f300(x96863,x96861,x96864),f317(f317(f23(f906(x96863,a894)),x96865),f317(f317(f299(x96863),x96866),f178(f906(x96863,a894)))))),f317(f300(x96863,x96861,f69(x96863,x96861,x96864,x96866,x96862)),x96865)) % 169.26/169.09 [9182]~P1(f317(f317(x91824,x91825),x91826))+P1(f317(f317(f317(f317(f91(f906(x91821,f906(x91822,a894))),x91823),x91824),x91825),x91826)) % 169.26/169.09 [9184]~P1(f317(f317(x91843,x91845),x91846))+P1(f317(f317(f317(f317(f91(f906(x91841,f906(x91842,a894))),x91843),x91844),x91845),x91846)) % 169.26/169.09 [9477]P1(f317(f317(x94771,x94772),x94773))+~P1(f317(f317(f317(f317(f92(f906(x94774,f906(x94775,a894))),x94776),x94771),x94772),x94773)) % 169.26/169.09 [9478]P1(f317(f317(x94781,x94782),x94783))+~P1(f317(f317(f317(f317(f92(f906(x94784,f906(x94785,a894))),x94781),x94786),x94782),x94783)) % 169.26/169.09 [9920]~P79(x99202)+E(f317(f317(f9(x99201,x99202),f317(f317(f7(x99201,f906(x99203,a894),x99202),f317(f317(f8(f906(x99203,x99202),f906(f906(x99203,a894),x99202),x99201),f9(x99203,x99202)),x99204)),x99205)),x99206),f317(f317(f9(f905(x99201,x99203),x99202),f317(f247(x99201,x99203,x99202),x99204)),f317(f317(f244(x99201,x99203),x99206),f317(f16(f906(x99203,a894),x99201),x99205)))) % 169.26/169.09 [9921]~P76(x99212)+E(f317(f317(f6(x99211,x99212),f317(f317(f7(x99211,f906(x99213,a894),x99212),f317(f317(f8(f906(x99213,x99212),f906(f906(x99213,a894),x99212),x99211),f6(x99213,x99212)),x99214)),x99215)),x99216),f317(f317(f6(f905(x99211,x99213),x99212),f317(f247(x99211,x99213,x99212),x99214)),f317(f317(f244(x99211,x99213),x99216),f317(f16(f906(x99213,a894),x99211),x99215)))) % 169.26/169.09 [10052]~P76(x100522)+E(f317(f317(f6(x100521,x100522),f317(f317(f7(x100521,f906(x100523,a894),x100522),f317(f317(f8(f906(x100523,x100522),f906(f906(x100523,a894),x100522),x100521),f6(x100523,x100522)),f317(f7(x100523,x100521,x100522),x100524))),x100525)),x100526),f317(f317(f6(x100523,x100522),f317(f317(f7(x100523,f906(x100521,a894),x100522),f317(f317(f8(f906(x100521,x100522),f906(f906(x100521,a894),x100522),x100523),f6(x100521,x100522)),x100524)),x100526)),x100525)) % 169.26/169.09 [10369]~P1(f317(f317(f319(f905(x103691,x103692)),f317(f317(f242(x103691,x103692),x103695),x103696)),f317(f317(f91(f906(f905(x103691,x103692),a894)),x103693),x103694)))+P1(f317(f317(f317(f317(f91(f906(x103691,f906(x103692,a894))),f317(f317(f7(x103691,f906(f905(x103691,x103692),a894),f906(x103692,a894)),f317(f317(f8(f906(x103692,f906(f906(f905(x103691,x103692),a894),a894)),f906(f906(f905(x103691,x103692),a894),f906(x103692,a894)),x103691),f7(x103692,f906(f905(x103691,x103692),a894),a894)),f317(f317(f8(f906(x103692,f905(x103691,x103692)),f906(x103692,f906(f906(f905(x103691,x103692),a894),a894)),x103691),f317(f8(f905(x103691,x103692),f906(f906(f905(x103691,x103692),a894),a894),x103692),f319(f905(x103691,x103692)))),f242(x103691,x103692)))),x103693)),f317(f317(f7(x103691,f906(f905(x103691,x103692),a894),f906(x103692,a894)),f317(f317(f8(f906(x103692,f906(f906(f905(x103691,x103692),a894),a894)),f906(f906(f905(x103691,x103692),a894),f906(x103692,a894)),x103691),f7(x103692,f906(f905(x103691,x103692),a894),a894)),f317(f317(f8(f906(x103692,f905(x103691,x103692)),f906(x103692,f906(f906(f905(x103691,x103692),a894),a894)),x103691),f317(f8(f905(x103691,x103692),f906(f906(f905(x103691,x103692),a894),a894),x103692),f319(f905(x103691,x103692)))),f242(x103691,x103692)))),x103694)),x103695),x103696)) % 169.26/169.09 [10370]~P1(f317(f317(f319(f905(x103701,x103702)),f317(f317(f242(x103701,x103702),x103705),x103706)),f317(f317(f92(f906(f905(x103701,x103702),a894)),x103703),x103704)))+P1(f317(f317(f317(f317(f92(f906(x103701,f906(x103702,a894))),f317(f317(f7(x103701,f906(f905(x103701,x103702),a894),f906(x103702,a894)),f317(f317(f8(f906(x103702,f906(f906(f905(x103701,x103702),a894),a894)),f906(f906(f905(x103701,x103702),a894),f906(x103702,a894)),x103701),f7(x103702,f906(f905(x103701,x103702),a894),a894)),f317(f317(f8(f906(x103702,f905(x103701,x103702)),f906(x103702,f906(f906(f905(x103701,x103702),a894),a894)),x103701),f317(f8(f905(x103701,x103702),f906(f906(f905(x103701,x103702),a894),a894),x103702),f319(f905(x103701,x103702)))),f242(x103701,x103702)))),x103703)),f317(f317(f7(x103701,f906(f905(x103701,x103702),a894),f906(x103702,a894)),f317(f317(f8(f906(x103702,f906(f906(f905(x103701,x103702),a894),a894)),f906(f906(f905(x103701,x103702),a894),f906(x103702,a894)),x103701),f7(x103702,f906(f905(x103701,x103702),a894),a894)),f317(f317(f8(f906(x103702,f905(x103701,x103702)),f906(x103702,f906(f906(f905(x103701,x103702),a894),a894)),x103701),f317(f8(f905(x103701,x103702),f906(f906(f905(x103701,x103702),a894),a894),x103702),f319(f905(x103701,x103702)))),f242(x103701,x103702)))),x103704)),x103705),x103706)) % 169.26/169.09 [10379]P1(f317(f317(f319(f905(x103791,x103792)),f317(f317(f242(x103791,x103792),x103793),x103794)),f317(f317(f91(f906(f905(x103791,x103792),a894)),x103795),x103796)))+~P1(f317(f317(f317(f317(f91(f906(x103791,f906(x103792,a894))),f317(f317(f7(x103791,f906(f905(x103791,x103792),a894),f906(x103792,a894)),f317(f317(f8(f906(x103792,f906(f906(f905(x103791,x103792),a894),a894)),f906(f906(f905(x103791,x103792),a894),f906(x103792,a894)),x103791),f7(x103792,f906(f905(x103791,x103792),a894),a894)),f317(f317(f8(f906(x103792,f905(x103791,x103792)),f906(x103792,f906(f906(f905(x103791,x103792),a894),a894)),x103791),f317(f8(f905(x103791,x103792),f906(f906(f905(x103791,x103792),a894),a894),x103792),f319(f905(x103791,x103792)))),f242(x103791,x103792)))),x103795)),f317(f317(f7(x103791,f906(f905(x103791,x103792),a894),f906(x103792,a894)),f317(f317(f8(f906(x103792,f906(f906(f905(x103791,x103792),a894),a894)),f906(f906(f905(x103791,x103792),a894),f906(x103792,a894)),x103791),f7(x103792,f906(f905(x103791,x103792),a894),a894)),f317(f317(f8(f906(x103792,f905(x103791,x103792)),f906(x103792,f906(f906(f905(x103791,x103792),a894),a894)),x103791),f317(f8(f905(x103791,x103792),f906(f906(f905(x103791,x103792),a894),a894),x103792),f319(f905(x103791,x103792)))),f242(x103791,x103792)))),x103796)),x103793),x103794)) % 169.26/169.09 [10380]P1(f317(f317(f319(f905(x103801,x103802)),f317(f317(f242(x103801,x103802),x103803),x103804)),f317(f317(f92(f906(f905(x103801,x103802),a894)),x103805),x103806)))+~P1(f317(f317(f317(f317(f92(f906(x103801,f906(x103802,a894))),f317(f317(f7(x103801,f906(f905(x103801,x103802),a894),f906(x103802,a894)),f317(f317(f8(f906(x103802,f906(f906(f905(x103801,x103802),a894),a894)),f906(f906(f905(x103801,x103802),a894),f906(x103802,a894)),x103801),f7(x103802,f906(f905(x103801,x103802),a894),a894)),f317(f317(f8(f906(x103802,f905(x103801,x103802)),f906(x103802,f906(f906(f905(x103801,x103802),a894),a894)),x103801),f317(f8(f905(x103801,x103802),f906(f906(f905(x103801,x103802),a894),a894),x103802),f319(f905(x103801,x103802)))),f242(x103801,x103802)))),x103805)),f317(f317(f7(x103801,f906(f905(x103801,x103802),a894),f906(x103802,a894)),f317(f317(f8(f906(x103802,f906(f906(f905(x103801,x103802),a894),a894)),f906(f906(f905(x103801,x103802),a894),f906(x103802,a894)),x103801),f7(x103802,f906(f905(x103801,x103802),a894),a894)),f317(f317(f8(f906(x103802,f905(x103801,x103802)),f906(x103802,f906(f906(f905(x103801,x103802),a894),a894)),x103801),f317(f8(f905(x103801,x103802),f906(f906(f905(x103801,x103802),a894),a894),x103802),f319(f905(x103801,x103802)))),f242(x103801,x103802)))),x103806)),x103803),x103804)) % 169.26/169.09 [10363]~P1(f317(f317(f319(f905(x103632,x103633)),f317(f317(f242(x103632,x103633),x103635),x103636)),f317(f317(f34(x103631,f906(f905(x103632,x103633),a894)),f232(f906(x103631,a894))),x103634)))+P1(f317(f317(f317(f317(f34(x103631,f906(x103632,f906(x103633,a894))),f232(f906(x103631,a894))),f317(f317(f8(f906(f905(x103632,x103633),a894),f906(x103632,f906(x103633,a894)),x103631),f317(f7(x103632,f906(f905(x103632,x103633),a894),f906(x103633,a894)),f317(f317(f8(f906(x103633,f906(f906(f905(x103632,x103633),a894),a894)),f906(f906(f905(x103632,x103633),a894),f906(x103633,a894)),x103632),f7(x103633,f906(f905(x103632,x103633),a894),a894)),f317(f317(f8(f906(x103633,f905(x103632,x103633)),f906(x103633,f906(f906(f905(x103632,x103633),a894),a894)),x103632),f317(f8(f905(x103632,x103633),f906(f906(f905(x103632,x103633),a894),a894),x103633),f319(f905(x103632,x103633)))),f242(x103632,x103633))))),x103634)),x103635),x103636)) % 169.26/169.09 [10364]~P1(f317(f317(f319(f905(x103642,x103643)),f317(f317(f242(x103642,x103643),x103645),x103646)),f317(f317(f35(x103641,f906(f905(x103642,x103643),a894)),f232(f906(x103641,a894))),x103644)))+P1(f317(f317(f317(f317(f35(x103641,f906(x103642,f906(x103643,a894))),f232(f906(x103641,a894))),f317(f317(f8(f906(f905(x103642,x103643),a894),f906(x103642,f906(x103643,a894)),x103641),f317(f7(x103642,f906(f905(x103642,x103643),a894),f906(x103643,a894)),f317(f317(f8(f906(x103643,f906(f906(f905(x103642,x103643),a894),a894)),f906(f906(f905(x103642,x103643),a894),f906(x103643,a894)),x103642),f7(x103643,f906(f905(x103642,x103643),a894),a894)),f317(f317(f8(f906(x103643,f905(x103642,x103643)),f906(x103643,f906(f906(f905(x103642,x103643),a894),a894)),x103642),f317(f8(f905(x103642,x103643),f906(f906(f905(x103642,x103643),a894),a894),x103643),f319(f905(x103642,x103643)))),f242(x103642,x103643))))),x103644)),x103645),x103646)) % 169.26/169.09 [10373]P1(f317(f317(f319(f905(x103731,x103732)),f317(f317(f242(x103731,x103732),x103733),x103734)),f317(f317(f34(x103735,f906(f905(x103731,x103732),a894)),f232(f906(x103735,a894))),x103736)))+~P1(f317(f317(f317(f317(f34(x103735,f906(x103731,f906(x103732,a894))),f232(f906(x103735,a894))),f317(f317(f8(f906(f905(x103731,x103732),a894),f906(x103731,f906(x103732,a894)),x103735),f317(f7(x103731,f906(f905(x103731,x103732),a894),f906(x103732,a894)),f317(f317(f8(f906(x103732,f906(f906(f905(x103731,x103732),a894),a894)),f906(f906(f905(x103731,x103732),a894),f906(x103732,a894)),x103731),f7(x103732,f906(f905(x103731,x103732),a894),a894)),f317(f317(f8(f906(x103732,f905(x103731,x103732)),f906(x103732,f906(f906(f905(x103731,x103732),a894),a894)),x103731),f317(f8(f905(x103731,x103732),f906(f906(f905(x103731,x103732),a894),a894),x103732),f319(f905(x103731,x103732)))),f242(x103731,x103732))))),x103736)),x103733),x103734)) % 169.26/169.09 [10374]P1(f317(f317(f319(f905(x103741,x103742)),f317(f317(f242(x103741,x103742),x103743),x103744)),f317(f317(f35(x103745,f906(f905(x103741,x103742),a894)),f232(f906(x103745,a894))),x103746)))+~P1(f317(f317(f317(f317(f35(x103745,f906(x103741,f906(x103742,a894))),f232(f906(x103745,a894))),f317(f317(f8(f906(f905(x103741,x103742),a894),f906(x103741,f906(x103742,a894)),x103745),f317(f7(x103741,f906(f905(x103741,x103742),a894),f906(x103742,a894)),f317(f317(f8(f906(x103742,f906(f906(f905(x103741,x103742),a894),a894)),f906(f906(f905(x103741,x103742),a894),f906(x103742,a894)),x103741),f7(x103742,f906(f905(x103741,x103742),a894),a894)),f317(f317(f8(f906(x103742,f905(x103741,x103742)),f906(x103742,f906(f906(f905(x103741,x103742),a894),a894)),x103741),f317(f8(f905(x103741,x103742),f906(f906(f905(x103741,x103742),a894),a894),x103742),f319(f905(x103741,x103742)))),f242(x103741,x103742))))),x103746)),x103743),x103744)) % 169.26/169.09 [7556]E(f317(x75561,f317(x75562,x75563)),f317(x75564,x75563))+~E(f317(f67(x75565,x75566,x75567,x75561),x75562),x75564) % 169.26/169.09 [9702]E(x97021,x97022)+E(f69(x97023,x97024,f69(x97023,x97024,x97025,x97021,x97026),x97022,x97027),f69(x97023,x97024,f69(x97023,x97024,x97025,x97022,x97027),x97021,x97026)) % 169.26/169.09 [9793]~P25(x97933,x97934,x97931,x97935,x97936,x97937)+E(f317(f317(x97931,x97932),x97932),x97932) % 169.26/169.09 [6091]~E(f317(f317(f144(x60911,x60915),x60916),x60912),f317(f317(f144(x60913,x60915),x60917),x60914))+E(f317(f179(f898(x60911)),x60912),f317(f179(f898(x60913)),x60914)) % 169.26/169.09 [8585]E(f317(x85851,f317(x85852,x85853)),f317(x85854,x85853))+~E(f317(f67(x85855,x85856,x85857,x85851),x85852),f317(f67(x85856,x85856,x85857,f25(x85856)),x85854)) % 169.26/169.09 [8939]~P36(x89394,x89395,x89391,f317(f317(f141(x89394),x89392),x89396),f317(f317(f141(x89395),x89393),x89397))+P1(f317(f317(x89391,x89392),x89393)) % 169.26/169.09 [9316]P36(x93161,x93162,x93163,x93164,x93165)+~P36(x93161,x93162,x93163,f317(f317(f141(x93161),x93166),x93164),f317(f317(f141(x93162),x93167),x93165)) % 169.26/169.09 [9953]P1(f317(f317(x99531,x99532),f500(x99533,x99532,x99534,x99531)))+~P1(f317(f317(f243(x99535,x99536,x99537,x99531,x99534),x99532),x99533)) % 169.26/169.09 [9977]P1(f317(f317(x99771,f500(x99772,x99773,x99771,x99774)),x99772))+~P1(f317(f317(f243(x99775,x99776,x99777,x99774,x99771),x99773),x99772)) % 169.26/169.09 [9056]~P23(x90566,x90561,x90563,x90567)+E(f317(f67(x90561,x90561,x90562,f317(x90563,x90564)),f317(f67(x90561,x90561,x90562,f317(x90563,x90564)),x90565)),f317(f67(x90561,x90561,x90562,f317(x90563,x90564)),x90565)) % 169.26/169.09 [9430]~P36(x94303,x94302,x94304,f317(f317(f144(x94301,x94303),x94305),x94306),x94307)+P36(x94301,x94302,f317(f317(f8(x94303,f906(x94302,a894),x94301),x94304),x94305),x94306,x94307) % 169.26/169.09 [9453]P36(x94531,x94532,x94533,f317(f317(f144(x94534,x94531),x94535),x94536),x94537)+~P36(x94534,x94532,f317(f317(f8(x94531,f906(x94532,a894),x94534),x94533),x94535),x94536,x94537) % 169.26/169.09 [9055]~P1(f317(f317(f319(x90551),x90552),f317(f317(x90555,x90556),x90557)))+P1(f317(f317(f319(x90551),x90552),f317(f317(f247(x90553,x90554,f906(x90551,a894)),x90555),f317(f317(f242(x90553,x90554),x90556),x90557)))) % 169.26/169.09 [9342]P1(f317(f317(f317(x93421,x93422),x93423),x93424))+~P1(f317(f317(f317(f247(x93425,x93426,f906(x93427,a894)),x93421),f317(f317(f242(x93425,x93426),x93422),x93423)),x93424)) % 169.26/169.09 [9492]P1(f317(f317(f319(x94921),f317(f317(x94922,x94923),x94924)),f317(f300(f905(x94925,x94926),x94921,f317(f247(x94925,x94926,x94921),x94922)),x94927)))+~P1(f317(f317(f319(f905(x94925,x94926)),f317(f317(f242(x94925,x94926),x94923),x94924)),x94927)) % 169.26/169.09 [9840]P1(f317(f317(f319(f905(f898(x98401),f898(x98401))),f317(f317(f242(f898(x98401),f898(x98401)),f317(f317(f124(x98401),x98402),f317(f317(f141(x98401),x98403),x98404))),f317(f317(f124(x98401),x98402),f317(f317(f141(x98401),x98405),x98406)))),f137(x98401,x98407)))+~P1(f317(f317(f319(f905(x98401,x98401)),f317(f317(f242(x98401,x98401),x98403),x98405)),x98407)) % 169.26/169.09 [9905]~P36(x99051,x99053,x99054,x99056,f317(f317(f144(x99052,x99053),x99055),x99057))+P36(x99051,x99052,f317(f317(f7(x99051,f906(x99052,x99053),f906(x99052,a894)),f317(f317(f8(f906(x99053,a894),f906(f906(x99052,x99053),f906(x99052,a894)),x99051),f8(x99053,a894,x99052)),x99054)),x99055),x99056,x99057) % 169.26/169.09 [9981]P36(x99811,x99812,x99813,x99814,f317(f317(f144(x99815,x99812),x99816),x99817))+~P36(x99811,x99815,f317(f317(f7(x99811,f906(x99815,x99812),f906(x99815,a894)),f317(f317(f8(f906(x99812,a894),f906(f906(x99815,x99812),f906(x99815,a894)),x99811),f8(x99812,a894,x99815)),x99813)),x99816),x99814,x99817) % 169.26/169.09 [10292]P1(f317(f317(f319(x102921),f588(x102922,x102923,x102924,x102925,x102926,x102927,x102921)),x102925))+P1(f317(f317(f317(f317(f35(x102921,f906(x102927,f906(x102926,a894))),x102925),x102924),x102923),x102922)) % 169.26/169.09 [10293]P1(f317(f317(f319(x102931),f764(x102932,x102933,x102934,x102935,x102936,x102937,x102931)),x102937))+P1(f317(f317(f317(f317(f35(x102931,f906(x102933,f906(x102932,a894))),x102937),x102936),x102935),x102934)) % 169.26/169.09 [10294]P1(f317(f317(f319(x102941),f452(x102942,x102943,x102944,x102945,x102946,x102947,x102941)),x102945))+~P1(f317(f317(f317(f317(f34(x102941,f906(x102947,f906(x102946,a894))),x102945),x102944),x102943),x102942)) % 169.26/169.09 [10295]P1(f317(f317(f319(x102951),f765(x102952,x102953,x102954,x102955,x102956,x102957,x102951)),x102955))+~P1(f317(f317(f317(f317(f34(x102951,f906(x102957,f906(x102956,a894))),x102955),x102954),x102953),x102952)) % 169.26/169.09 [10328]P1(f317(f317(f317(x103281,f452(x103282,x103283,x103281,x103284,x103285,x103286,x103287)),x103283),x103282))+~P1(f317(f317(f317(f317(f34(x103287,f906(x103286,f906(x103285,a894))),x103284),x103281),x103283),x103282)) % 169.26/169.09 [10329]P1(f317(f317(f317(x103291,f765(x103292,x103293,x103291,x103294,x103295,x103296,x103297)),x103293),x103292))+~P1(f317(f317(f317(f317(f34(x103297,f906(x103296,f906(x103295,a894))),x103294),x103291),x103293),x103292)) % 169.26/169.09 [10344]~P1(f317(f317(f317(x103445,f588(x103447,x103446,x103445,x103444,x103443,x103442,x103441)),x103446),x103447))+P1(f317(f317(f317(f317(f35(x103441,f906(x103442,f906(x103443,a894))),x103444),x103445),x103446),x103447)) % 169.26/169.09 [10345]~P1(f317(f317(f317(x103455,f764(x103453,x103452,x103457,x103456,x103455,x103454,x103451)),x103456),x103457))+P1(f317(f317(f317(f317(f35(x103451,f906(x103452,f906(x103453,a894))),x103454),x103455),x103456),x103457)) % 169.26/169.09 [10362]~P1(f317(f317(f319(f905(x103621,x103623)),f317(f317(f242(x103621,x103623),x103626),x103627)),f317(f317(f279(x103621,x103622,x103623),x103624),x103625)))+P1(f317(f317(f243(x103621,x103622,x103623,f317(f317(f7(x103621,f906(f905(x103621,x103622),a894),f906(x103622,a894)),f317(f317(f8(f906(x103622,f906(f906(f905(x103621,x103622),a894),a894)),f906(f906(f905(x103621,x103622),a894),f906(x103622,a894)),x103621),f7(x103622,f906(f905(x103621,x103622),a894),a894)),f317(f317(f8(f906(x103622,f905(x103621,x103622)),f906(x103622,f906(f906(f905(x103621,x103622),a894),a894)),x103621),f317(f8(f905(x103621,x103622),f906(f906(f905(x103621,x103622),a894),a894),x103622),f319(f905(x103621,x103622)))),f242(x103621,x103622)))),x103624),f317(f317(f7(x103622,f906(f905(x103622,x103623),a894),f906(x103623,a894)),f317(f317(f8(f906(x103623,f906(f906(f905(x103622,x103623),a894),a894)),f906(f906(f905(x103622,x103623),a894),f906(x103623,a894)),x103622),f7(x103623,f906(f905(x103622,x103623),a894),a894)),f317(f317(f8(f906(x103623,f905(x103622,x103623)),f906(x103623,f906(f906(f905(x103622,x103623),a894),a894)),x103622),f317(f8(f905(x103622,x103623),f906(f906(f905(x103622,x103623),a894),a894),x103623),f319(f905(x103622,x103623)))),f242(x103622,x103623)))),x103625)),x103626),x103627)) % 169.26/169.09 [10372]P1(f317(f317(f319(f905(x103721,x103722)),f317(f317(f242(x103721,x103722),x103723),x103724)),f317(f317(f279(x103721,x103725,x103722),x103726),x103727)))+~P1(f317(f317(f243(x103721,x103725,x103722,f317(f317(f7(x103721,f906(f905(x103721,x103725),a894),f906(x103725,a894)),f317(f317(f8(f906(x103725,f906(f906(f905(x103721,x103725),a894),a894)),f906(f906(f905(x103721,x103725),a894),f906(x103725,a894)),x103721),f7(x103725,f906(f905(x103721,x103725),a894),a894)),f317(f317(f8(f906(x103725,f905(x103721,x103725)),f906(x103725,f906(f906(f905(x103721,x103725),a894),a894)),x103721),f317(f8(f905(x103721,x103725),f906(f906(f905(x103721,x103725),a894),a894),x103725),f319(f905(x103721,x103725)))),f242(x103721,x103725)))),x103726),f317(f317(f7(x103725,f906(f905(x103725,x103722),a894),f906(x103722,a894)),f317(f317(f8(f906(x103722,f906(f906(f905(x103725,x103722),a894),a894)),f906(f906(f905(x103725,x103722),a894),f906(x103722,a894)),x103725),f7(x103722,f906(f905(x103725,x103722),a894),a894)),f317(f317(f8(f906(x103722,f905(x103725,x103722)),f906(x103722,f906(f906(f905(x103725,x103722),a894),a894)),x103725),f317(f8(f905(x103725,x103722),f906(f906(f905(x103725,x103722),a894),a894),x103722),f319(f905(x103725,x103722)))),f242(x103725,x103722)))),x103727)),x103723),x103724)) % 169.26/169.09 [10304]~P145(x103042)+E(f317(f317(f6(x103041,x103042),f317(f317(f7(x103041,f906(x103043,a894),x103042),f317(f317(f8(f906(x103043,x103042),f906(f906(x103043,a894),x103042),x103041),f6(x103043,x103042)),f317(f317(f7(x103041,f906(x103043,x103042),f906(x103043,x103042)),f317(f317(f8(f906(x103042,x103042),f906(f906(x103043,x103042),f906(x103043,x103042)),x103041),f8(x103042,x103042,x103043)),f317(f317(f8(x103042,f906(x103042,x103042),x103041),f75(x103042)),x103044))),x103045))),x103046)),x103047),f317(f317(f75(x103042),f317(f317(f6(x103041,x103042),x103044),x103047)),f317(f317(f6(x103043,x103042),x103045),x103046))) % 169.26/169.09 [9376]~P22(x93767,x93761,x93763,x93768)+E(f317(f67(x93761,x93761,x93762,f317(x93763,x93764)),f317(f67(x93761,x93761,x93762,f317(x93763,x93765)),x93766)),f317(f67(x93761,x93761,x93762,f317(x93763,x93765)),f317(f67(x93761,x93761,x93762,f317(x93763,x93764)),x93766))) % 169.26/169.09 [10367]E(f317(f317(f242(x103671,x103672),f317(x103673,f482(x103674,x103675,x103673,x103676,x103677,x103678,x103672,x103671))),f317(x103675,f483(x103674,x103675,x103673,x103676,x103677,x103678,x103672,x103671))),x103678)+~P1(f317(f317(f319(f905(x103671,x103672)),x103678),f317(f300(f905(x103677,x103676),f905(x103671,x103672),f248(x103677,x103671,x103676,x103672,x103673,x103675)),x103674))) % 169.26/169.09 [10385]~P1(f317(f317(f319(f905(x103858,x103857)),x103856),f317(f300(f905(x103851,x103852),f905(x103858,x103857),f248(x103851,x103858,x103852,x103857,x103855,x103854)),x103853)))+P1(f317(f317(f319(f905(x103851,x103852)),f317(f317(f242(x103851,x103852),f482(x103853,x103854,x103855,x103852,x103851,x103856,x103857,x103858)),f483(x103853,x103854,x103855,x103852,x103851,x103856,x103857,x103858))),x103853)) % 169.26/169.09 [9830]P1(f317(f317(f319(f905(f905(x98301,x98302),f905(x98301,x98302))),f317(f317(f242(f905(x98301,x98302),f905(x98301,x98302)),f317(f317(f242(x98301,x98302),x98303),x98304)),f317(f317(f242(x98301,x98302),x98305),x98306))),f309(x98301,x98302,x98307,x98308)))+~P1(f317(f317(f319(f905(x98301,x98301)),f317(f317(f242(x98301,x98301),x98303),x98305)),x98307)) % 169.26/169.09 [10356]E(f317(f132(x103561,x103562,f317(f7(x103562,x103561,x103561),x103563),f317(x103564,x103565)),x103566),f317(x103564,f317(f132(x103567,x103562,f317(f7(x103562,x103567,x103567),x103568),x103565),x103566)))+P1(f317(f317(f319(x103562),f712(x103565,x103568,x103564,x103563,x103567,x103561,x103566,x103562)),f317(f162(x103562),x103566))) % 169.26/169.09 [10375]~E(f317(f67(x103751,x103751,x103757,f317(x103753,f712(x103755,x103758,x103754,x103753,x103757,x103751,x103756,x103752))),x103754),f317(f67(x103757,x103751,x103757,x103754),f317(x103758,f712(x103755,x103758,x103754,x103753,x103757,x103751,x103756,x103752))))+E(f317(f132(x103751,x103752,f317(f7(x103752,x103751,x103751),x103753),f317(x103754,x103755)),x103756),f317(x103754,f317(f132(x103757,x103752,f317(f7(x103752,x103757,x103757),x103758),x103755),x103756))) % 169.26/169.09 [8590]E(f317(x85901,f317(x85902,x85903)),f317(x85904,f317(x85905,x85903)))+~E(f317(f67(x85906,x85907,x85908,x85901),x85902),f317(f67(x85909,x85907,x85908,x85904),x85905)) % 169.26/169.09 [10213]P1(f317(f317(f319(f905(x102131,x102132)),f317(f317(f242(x102131,x102132),f317(x102133,x102134)),f317(x102135,x102136))),f317(f300(f905(x102137,x102138),f905(x102131,x102132),f248(x102137,x102131,x102138,x102132,x102133,x102135)),x102139)))+~P1(f317(f317(f319(f905(x102137,x102138)),f317(f317(f242(x102137,x102138),x102134),x102136)),x102139)) % 169.26/169.09 [8885]~E(f317(x88854,f317(x88855,x88856)),f317(x88859,f317(x888510,x888511)))+E(f317(f317(f67(x88851,x88852,x88853,x88854),x88855),x88856),f317(f317(f67(x88857,x88852,x88858,x88859),x888510),x888511)) % 169.26/169.09 [4650]~P4(x46501)+~P100(x46501)+E(f223(x46501),f91(x46501)) % 169.26/169.09 [4651]~P4(x46511)+~P106(x46511)+E(f228(x46511),f92(x46511)) % 169.26/169.09 [4896]~P111(x48961)+~P95(x48961)+E(f317(f70(x48961),f317(f94(x48961),a87)),f72(x48961)) % 169.26/169.09 [5189]E(x51891,f2(a1))+E(f76(a1,x51891),f317(f73(a1),f72(a1)))+P1(f317(f317(f225(a1),f2(a1)),x51891)) % 169.26/169.09 [5394]E(x53941,f2(a1))+E(f76(a1,x53941),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x53941)) % 169.26/169.09 [7455]~P42(x74551)+P1(f317(f28(a1),x74551))+~P1(f317(f28(a897),f317(f300(a1,a897,a95),x74551))) % 169.26/169.09 [9792]E(x97921,f178(f906(f905(a897,a897),a894)))+~P1(f317(f28(f905(a897,a897)),x97921))+P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),f178(f906(f905(a897,a897),a894))),x97921)),a27)) % 169.26/169.09 [9954]E(x99541,f2(a897))+E(x99541,f317(a102,f2(a897)))+~P1(f317(f317(f225(a897),x99541),f317(f94(a897),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))))) % 169.26/169.09 [10242]E(x102421,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),x102421),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,x102421))+E(f40(a89,x102421,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)) % 169.26/169.09 [10090]E(x100901,f2(a89))+~E(f40(a89,x100901,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),x100901),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,x100901)) % 169.26/169.09 [4731]~P60(x47311,x47312)+P46(x47311,x47312)+~P47(a894) % 169.26/169.09 [4660]~P144(x46601)+P30(x46601,x46602)+~E(x46602,f2(x46601)) % 169.26/169.09 [4661]~P4(x46611)+P16(x46611,x46612)+~E(x46612,f103(x46611)) % 169.26/169.09 [4670]~P111(x46701)+~E(x46702,f2(x46701))+E(f76(x46701,x46702),f2(x46701)) % 169.26/169.09 [4671]~P92(x46711)+~E(x46712,f2(x46711))+E(f76(x46711,x46712),f2(x46711)) % 169.26/169.09 [4679]~P144(x46792)+~P30(x46792,x46791)+E(x46791,f2(x46792)) % 169.26/169.09 [4724]~P111(x47242)+~E(f76(x47242,x47241),f2(x47242))+E(x47241,f2(x47242)) % 169.26/169.09 [4738]~P5(x47382)+~P5(x47381)+P5(f906(x47381,x47382)) % 169.26/169.09 [4739]~P5(x47392)+~P5(x47391)+P5(f904(x47391,x47392)) % 169.26/169.09 [4740]~P5(x47402)+~P5(x47401)+P5(f905(x47401,x47402)) % 169.26/169.09 [4741]~P9(x47412)+~P9(x47411)+P9(f184(x47411,x47412)) % 169.26/169.09 [4742]~P63(x47422)+~P63(x47421)+P63(f906(x47421,x47422)) % 169.26/169.09 [4743]~P63(x47432)+~P63(x47431)+P63(f904(x47431,x47432)) % 169.26/169.09 [4744]~P63(x47442)+~P63(x47441)+P63(f905(x47441,x47442)) % 169.26/169.09 [4745]~P107(x47452)+~P107(x47451)+P107(f905(x47451,x47452)) % 169.26/169.09 [4868]~P4(x48681)+~P16(x48681,x48682)+P16(x48681,f142(x48681,x48682)) % 169.26/169.09 [5116]~P9(x51162)+~P9(x51161)+P9(f40(a1,x51161,x51162)) % 169.26/169.09 [4681]~P77(x46811)+~E(x46812,f2(x46811))+E(f317(f73(x46811),x46812),x46812) % 169.26/169.09 [4696]~P128(x46961)+~E(x46962,f2(a1))+E(f317(f93(x46961),x46962),f2(x46961)) % 169.26/169.09 [4697]~P94(x46971)+~E(x46972,f2(a1))+E(f317(f93(x46971),x46972),f2(x46971)) % 169.26/169.09 [4721]~P78(x47211)+~E(f2(x47211),x47212)+E(f317(f73(x47211),x47212),f2(x47211)) % 169.26/169.09 [4722]~P78(x47221)+~E(x47222,f2(x47221))+E(f317(f73(x47221),x47222),f2(x47221)) % 169.26/169.09 [4723]~P89(x47231)+~E(x47232,f2(x47231))+E(f317(f70(x47231),x47232),f2(x47231)) % 169.26/169.09 [4747]~P77(x47472)+E(x47471,f2(x47472))+~E(f317(f73(x47472),x47471),x47471) % 169.26/169.09 [4749]E(x47491,f317(a95,x47492))+~E(x47491,f2(a897))+~E(x47492,f317(f90(a1),x47491)) % 169.26/169.09 [4750]E(f317(a95,x47501),x47502)+~E(x47502,f2(a897))+~E(x47501,f317(f90(a1),x47502)) % 169.26/169.09 [4754]~P94(x47542)+E(x47541,f2(a1))+~E(f317(f93(x47542),x47541),f2(x47542)) % 169.26/169.09 [4758]~P78(x47582)+E(x47581,f2(x47582))+~E(f317(f73(x47582),x47581),f2(x47582)) % 169.26/169.09 [4759]~P89(x47592)+E(x47591,f2(x47592))+~E(f317(f70(x47592),x47591),f2(x47592)) % 169.26/169.09 [4760]~P78(x47601)+E(f2(x47601),x47602)+~E(f317(f73(x47601),x47602),f2(x47601)) % 169.26/169.09 [4943]~P4(x49431)+~P16(x49431,x49432)+P16(x49431,f317(f161(x49431),x49432)) % 169.26/169.09 [4970]~P1(x49702)+~P1(x49701)+P1(f317(f317(a315,x49701),x49702)) % 169.26/169.09 [5008]~E(f72(a897),f2(a897))+E(f317(f29(x50081),x50082),f2(a897))+~P1(f317(f28(x50081),x50082)) % 169.26/169.09 [5044]~P115(x50441)+~P145(x50441)+E(f317(f317(f234(x50441),f2(x50441)),f317(a102,x50442)),f2(x50441)) % 169.26/169.09 [5084]~P4(x50841)+P16(x50841,f129(x50841,x50842))+~P1(f317(f28(x50841),x50842)) % 169.26/169.09 [5085]~P4(x50851)+P16(x50851,f704(x50852,x50851))+~P1(f317(f28(x50851),x50852)) % 169.26/169.09 [5108]~P4(x51081)+E(f317(f162(x51081),f129(x51081,x51082)),x51082)+~P1(f317(f28(x51081),x51082)) % 169.26/169.09 [5109]~P4(x51091)+E(f317(f162(x51091),f704(x51092,x51091)),x51092)+~P1(f317(f28(x51091),x51092)) % 169.26/169.09 [5138]P1(x51381)+P1(x51382)+~P1(f317(f317(a316,x51382),x51381)) % 169.26/169.09 [5151]E(x51511,f178(f906(x51512,a894)))+~E(f317(f29(x51512),x51511),f2(a897))+~P1(f317(f28(x51512),x51511)) % 169.26/169.09 [5156]P1(x51561)+~P1(x51562)+~P1(f317(f317(a320,x51562),x51561)) % 169.26/169.09 [5207]~P75(x52071)+E(f317(f70(x52071),x52072),x52072)+P1(f317(f317(f225(x52071),x52072),f2(x52071))) % 169.26/169.09 [5267]~P63(x52672)+~P1(f317(f51(x52672),x52671))+P1(f317(x52671,f705(x52671,x52672))) % 169.26/169.09 [5268]~P63(x52682)+~P1(f317(f51(x52682),x52681))+P1(f317(x52681,f713(x52681,x52682))) % 169.26/169.09 [5309]E(x53091,f103(x53092))+P1(f317(f127(x53092),f104(x53092,x53091)))+~P1(f317(f127(x53092),x53091)) % 169.26/169.09 [5314]~P4(x53141)+~P1(f317(f28(x53141),x53142))+P1(f317(f127(x53141),f129(x53141,x53142))) % 169.26/169.09 [5315]~P4(x53151)+~P1(f317(f28(x53151),x53152))+P1(f317(f127(x53151),f704(x53152,x53151))) % 169.26/169.09 [5320]~P128(x53201)+E(f317(f90(x53201),f317(a95,x53202)),f317(f93(x53201),x53202))+P1(f317(f317(f225(a1),x53202),f2(a1))) % 169.26/169.09 [5341]P10(x53412,x53411)+E(f317(x53411,f433(x53411)),f317(x53411,f460(x53411)))+P1(f317(f317(x53411,f433(x53411)),f460(x53411))) % 169.26/169.09 [5354]E(f317(f90(a1),f853(x53541,x53542)),x53541)+P1(f317(x53542,f317(a95,x53541)))+~P1(f317(x53542,f2(a897))) % 169.26/169.09 [5367]~P63(x53671)+~P1(f317(x53672,f724(x53672,x53671)))+P1(f317(f52(x53671),x53672)) % 169.26/169.09 [5368]~P63(x53681)+~P1(f317(x53682,f728(x53682,x53681)))+P1(f317(f52(x53681),x53682)) % 169.26/169.09 [5404]~P111(x54041)+~E(f76(x54041,x54042),f317(f73(x54041),f72(x54041)))+P1(f317(f317(f225(x54041),x54042),f2(x54041))) % 169.26/169.09 [5479]~E(x54792,f2(a1))+E(f205(x54791,x54792),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f225(a1),x54792),f2(a1))) % 169.26/169.09 [5480]~E(x54801,f2(a1))+E(f205(x54801,x54802),f317(f317(f242(a1,a1),f2(a1)),f72(a1)))+P1(f317(f317(f225(a1),x54802),f2(a1))) % 169.26/169.09 [5533]E(f317(f90(a1),f853(x55331,x55332)),x55331)+P1(f317(x55332,f317(a95,x55331)))+P1(f317(f317(f225(a1),x55331),f2(a1))) % 169.26/169.09 [5601]~P111(x56011)+E(f76(x56011,x56012),f317(f73(x56011),f72(x56011)))+~P1(f317(f317(f225(x56011),x56012),f2(x56011))) % 169.26/169.09 [5602]~P89(x56021)+E(f317(f70(x56021),x56022),f317(f73(x56021),x56022))+~P1(f317(f317(f224(x56021),x56022),f2(x56021))) % 169.26/169.09 [5603]~P89(x56031)+E(f317(f70(x56031),x56032),f317(f73(x56031),x56032))+~P1(f317(f317(f225(x56031),x56032),f2(x56031))) % 169.26/169.09 [5604]~P75(x56041)+E(f317(f70(x56041),x56042),f317(f73(x56041),x56042))+~P1(f317(f317(f225(x56041),x56042),f2(x56041))) % 169.26/169.09 [5704]~P1(f317(x57041,f853(x57042,x57041)))+P1(f317(x57041,f317(a95,x57042)))+~P1(f317(x57041,f2(a897))) % 169.26/169.09 [5711]E(x57111,f2(a897))+E(f317(a102,f578(x57112,x57111)),x57111)+~P1(f317(f317(f225(a897),x57111),f317(a102,x57112))) % 169.26/169.09 [5715]P10(x57151,x57152)+~E(f317(x57152,f433(x57152)),f317(x57152,f460(x57152)))+~P1(f317(f317(x57152,f433(x57152)),f460(x57152))) % 169.26/169.09 [5733]~P4(x57331)+P16(x57331,x57332)+P1(f317(f317(f224(a897),f687(x57332,x57331)),f688(x57332,x57331))) % 169.26/169.09 [5734]~P4(x57341)+P16(x57341,x57342)+P1(f317(f317(f224(a897),f695(x57342,x57341)),f699(x57342,x57341))) % 169.26/169.09 [5820]~P89(x58201)+~E(x58202,f2(x58201))+P1(f317(f317(f224(x58201),f317(f70(x58201),x58202)),f2(x58201))) % 169.26/169.09 [5917]~P1(f317(x59171,f853(x59172,x59171)))+P1(f317(x59171,f317(a95,x59172)))+P1(f317(f317(f225(a1),x59172),f2(a1))) % 169.26/169.09 [5942]~P1(f317(x59421,f317(a95,x59422)))+P1(f317(x59421,f2(a897)))+~P1(f317(f317(f225(a1),x59422),f2(a1))) % 169.26/169.09 [6296]~P111(x62961)+~P1(f317(f317(f225(x62961),x62962),f2(x62961)))+P1(f317(f317(f225(x62961),f76(x62961,x62962)),f2(x62961))) % 169.26/169.09 [6416]~P111(x64161)+P1(f317(f317(f224(x64161),f317(f93(x64161),x64162)),f2(x64161)))+~P1(f317(f317(f224(a1),x64162),f2(a1))) % 169.26/169.09 [6417]~P111(x64171)+P1(f317(f317(f225(x64171),f317(f93(x64171),x64172)),f2(x64171)))+~P1(f317(f317(f225(a1),x64172),f2(a1))) % 169.26/169.09 [6426]~P89(x64262)+E(x64261,f2(x64262))+~P1(f317(f317(f224(x64262),f317(f70(x64262),x64261)),f2(x64262))) % 169.26/169.09 [6504]~P128(x65041)+~P1(f317(f317(f319(x65041),x65042),f100(x65041)))+P1(f317(f317(f319(x65041),f317(f73(x65041),x65042)),f100(x65041))) % 169.26/169.09 [6536]~P111(x65361)+~P1(f317(f317(f225(x65361),f76(x65361,x65362)),f2(x65361)))+P1(f317(f317(f225(x65361),x65362),f2(x65361))) % 169.26/169.09 [6714]~P111(x67142)+~P1(f317(f317(f224(x67142),f317(f93(x67142),x67141)),f2(x67142)))+P1(f317(f317(f224(a1),x67141),f2(a1))) % 169.26/169.09 [6715]~P111(x67152)+~P1(f317(f317(f225(x67152),f317(f93(x67152),x67151)),f2(x67152)))+P1(f317(f317(f225(a1),x67151),f2(a1))) % 169.26/169.09 [7229]~P77(x72291)+~P1(f317(f317(f224(x72291),x72292),f2(x72291)))+P1(f317(f317(f224(x72291),f317(f317(f74(x72291),x72292),x72292)),f2(x72291))) % 169.26/169.09 [7231]~P77(x72311)+~P1(f317(f317(f225(x72311),x72312),f2(x72311)))+P1(f317(f317(f225(x72311),f317(f317(f74(x72311),x72312),x72312)),f2(x72311))) % 169.26/169.09 [7232]~P111(x72321)+~P1(f317(f317(f225(x72321),x72322),f2(x72321)))+P1(f317(f317(f225(x72321),f317(f317(f74(x72321),x72322),x72322)),f2(x72321))) % 169.26/169.09 [7803]~P77(x78031)+~P1(f317(f317(f224(x78031),f317(f317(f74(x78031),x78032),x78032)),f2(x78031)))+P1(f317(f317(f224(x78031),x78032),f2(x78031))) % 169.26/169.09 [7804]~P77(x78041)+~P1(f317(f317(f225(x78041),f317(f317(f74(x78041),x78042),x78042)),f2(x78041)))+P1(f317(f317(f225(x78041),x78042),f2(x78041))) % 169.26/169.09 [7805]~P111(x78051)+~P1(f317(f317(f225(x78051),f317(f317(f74(x78051),x78052),x78052)),f2(x78051)))+P1(f317(f317(f225(x78051),x78052),f2(x78051))) % 169.26/169.09 [4795]~E(x47952,f2(a897))+~E(x47951,f2(a897))+E(f317(f317(f74(a897),x47951),x47952),f2(a897)) % 169.26/169.09 [4796]~E(x47962,f72(a897))+~E(x47961,f72(a897))+E(f317(f317(f75(a897),x47961),x47962),f72(a897)) % 169.26/169.09 [4797]~E(x47972,f72(a1))+~E(x47971,f72(a1))+E(f317(f317(f75(a1),x47971),x47972),f72(a1)) % 169.26/169.09 [4852]~P6(x48522)+E(x48521,f2(x48522))+E(f317(f317(f30(x48522),x48521),x48521),f72(x48522)) % 169.26/169.09 [4853]~P122(x48532)+E(x48531,f2(x48532))+E(f317(f317(f281(x48532),x48531),x48531),f72(x48532)) % 169.26/169.09 [4854]~P123(x48542)+E(x48541,f2(x48542))+E(f317(f317(f281(x48542),x48541),x48541),f72(x48542)) % 169.26/169.09 [4872]~P77(x48721)+~E(x48722,f2(x48721))+E(f317(f317(f74(x48721),x48722),x48722),f2(x48721)) % 169.26/169.09 [4875]~P143(x48751)+~E(x48752,f72(x48751))+E(f317(f317(f75(x48751),x48752),x48752),f72(x48751)) % 169.26/169.09 [4876]~P123(x48761)+~E(x48762,f2(x48761))+E(f317(f317(f281(x48761),x48762),x48762),f2(x48761)) % 169.26/169.09 [4921]~E(x49212,f2(a897))+~E(x49211,f2(a897))+E(f317(f73(a1),f317(f90(a1),x49211)),f317(f90(a1),x49212)) % 169.26/169.09 [4940]E(x49401,f72(a897))+E(x49402,f2(a897))+~E(f317(f317(f75(a897),x49402),x49401),x49402) % 169.26/169.09 [4952]E(x49521,f2(a897))+E(x49522,f2(a897))+~E(f317(f317(f75(a897),x49522),x49521),f2(a897)) % 169.26/169.09 [4979]~E(x49792,f2(a897))+~E(x49791,f317(a102,f2(a897)))+E(f317(f317(f74(a897),x49791),x49792),f317(a102,f2(a897))) % 169.26/169.09 [4980]~E(x49801,f2(a897))+~E(x49802,f317(a102,f2(a897)))+E(f317(f317(f74(a897),x49801),x49802),f317(a102,f2(a897))) % 169.26/169.09 [4987]E(x49871,f72(a1))+E(x49872,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49871),x49872),f72(a1)) % 169.26/169.09 [4988]E(x49881,f72(a1))+E(x49882,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49882),x49881),f72(a1)) % 169.26/169.09 [4989]E(x49891,f72(a1))+E(x49891,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49892),x49891),f72(a1)) % 169.26/169.09 [4991]E(x49911,f72(a1))+E(x49911,f317(f94(a1),a87))+~E(f317(f317(f75(a1),x49911),x49912),f72(a1)) % 169.26/169.09 [5016]~P77(x50162)+E(x50161,f2(x50162))+~E(f317(f317(f74(x50162),x50161),x50161),f2(x50162)) % 169.26/169.09 [5022]~E(x50221,f317(f94(a1),a87))+~E(x50222,f317(f94(a1),a87))+E(f317(f317(f75(a1),x50221),x50222),f72(a1)) % 169.26/169.09 [5033]E(x50331,f2(a897))+E(x50332,f2(a897))+~E(f317(f317(f74(a897),x50332),x50331),f317(a102,f2(a897))) % 169.26/169.09 [5043]~P95(x50431)+~P64(x50431)+E(f317(f317(f281(x50431),x50432),f317(f94(x50431),a77)),f2(x50431)) % 169.26/169.09 [5050]~P143(x50501)+~E(x50502,f317(f73(x50501),f72(x50501)))+E(f317(f317(f75(x50501),x50502),x50502),f72(x50501)) % 169.26/169.09 [5055]~P9(x50552)+~P9(x50551)+P9(f317(f317(f74(a1),x50551),x50552)) % 169.26/169.09 [5056]~P9(x50562)+~P9(x50561)+P9(f317(f317(f75(a1),x50561),x50562)) % 169.26/169.09 [5057]~P9(x50572)+~P9(x50571)+P9(f317(f317(f30(a1),x50571),x50572)) % 169.26/169.09 [5059]~E(x50592,f2(a1))+E(x50591,f2(a1))+E(f41(x50591,x50592),f317(f317(f242(a1,a1),f2(a1)),x50591)) % 169.26/169.09 [5082]~E(x50822,f317(a102,f2(a897)))+~E(x50821,f317(a102,f2(a897)))+E(f317(f317(f75(a897),x50821),x50822),f317(a102,f2(a897))) % 169.26/169.09 [5099]E(x50991,f2(a897))+E(x50992,f317(a102,f2(a897)))+~E(f317(f317(f234(a897),x50992),x50991),f317(a102,f2(a897))) % 169.26/169.09 [5100]E(x51001,f2(a897))+E(x51001,f317(a102,f2(a897)))+~E(f317(f317(f74(a897),x51002),x51001),f317(a102,f2(a897))) % 169.26/169.09 [5101]E(x51011,f2(a897))+E(x51011,f317(a102,f2(a897)))+~E(f317(f317(f74(a897),x51011),x51012),f317(a102,f2(a897))) % 169.26/169.09 [5110]~P95(x51101)+~P64(x51101)+E(f317(f317(f281(x51101),x51102),f317(f94(x51101),a87)),f317(f73(x51101),x51102)) % 169.26/169.09 [5130]E(x51301,f317(a95,x51302))+~E(x51301,f2(a897))+P1(f317(f317(f224(a1),f2(a1)),x51302)) % 169.26/169.09 [5131]E(f317(a95,x51311),x51312)+~E(x51312,f2(a897))+P1(f317(f317(f224(a1),f2(a1)),x51311)) % 169.26/169.09 [5147]E(x51471,f317(a102,f2(a897)))+E(x51472,f317(a102,f2(a897)))+~E(f317(f317(f74(a897),x51471),x51472),f317(a102,f2(a897))) % 169.26/169.09 [5158]~E(x51581,f317(a95,x51582))+E(x51581,f2(a897))+P1(f317(f317(f224(a1),f2(a1)),x51582)) % 169.26/169.09 [5159]~E(f317(a95,x51592),x51591)+E(x51591,f2(a897))+P1(f317(f317(f224(a1),f2(a1)),x51592)) % 169.26/169.09 [5182]~P4(x51821)+E(f317(f57(x51821,f228(x51821)),x51822),f14(x51821,x51822))+~P1(f317(f28(x51821),x51822)) % 169.26/169.09 [5183]~P4(x51831)+E(f317(f57(x51831,f223(x51831)),x51832),f15(x51831,x51832))+~P1(f317(f28(x51831),x51832)) % 169.26/169.09 [5184]~P101(x51841)+E(f317(f57(x51841,f91(x51841)),x51842),f13(x51841,x51842))+~P1(f317(f28(x51841),x51842)) % 169.26/169.09 [5185]~P101(x51851)+E(f317(f57(x51851,f92(x51851)),x51852),f10(x51851,x51852))+~P1(f317(f28(x51851),x51852)) % 169.26/169.09 [5262]E(x52621,x52622)+~E(f317(f317(f23(a897),x52622),x52621),f2(a897))+~E(f317(f317(f23(a897),x52621),x52622),f2(a897)) % 169.26/169.09 [5279]P9(x52791)+~P42(x52792)+~P1(f317(f317(f319(a1),x52791),x52792)) % 169.26/169.09 [5310]~P111(x53101)+~E(f76(x53101,x53102),f72(x53101))+P1(f317(f317(f225(x53101),f2(x53101)),x53102)) % 169.26/169.09 [5321]~P95(x53211)+E(f317(f90(x53211),f317(f94(a897),x53212)),f317(f94(x53211),x53212))+P1(f317(a183,f317(f94(a1),x53212))) % 169.26/169.09 [5326]~P46(x53261,x53262)+P47(a894)+P1(f317(f28(f905(x53261,x53261)),x53262)) % 169.26/169.09 [5396]~P4(x53961)+E(f317(f57(x53961,f228(x53961)),x53962),f11(x53961,f228(x53961),x53962))+~P1(f317(f28(x53961),x53962)) % 169.26/169.09 [5397]~P4(x53971)+E(f317(f57(x53971,f223(x53971)),x53972),f12(x53971,f223(x53971),x53972))+~P1(f317(f28(x53971),x53972)) % 169.26/169.09 [5411]E(x54111,x54112)+P1(f317(f317(f225(a897),x54112),x54111))+P1(f317(f317(f225(a897),x54111),x54112)) % 169.26/169.09 [5412]E(x54121,x54122)+P1(f317(f317(f225(a1),x54122),x54121))+P1(f317(f317(f225(a1),x54121),x54122)) % 169.26/169.09 [5466]~P95(x54661)+E(f317(f90(x54661),f317(f94(a897),x54662)),f2(x54661))+~P1(f317(a183,f317(f94(a1),x54662))) % 169.26/169.09 [5469]~E(x54692,f317(a95,x54691))+E(x54691,f317(f90(a1),x54692))+~P1(f317(f317(f224(a1),f2(a1)),x54691)) % 169.26/169.09 [5470]~E(f317(a95,x54701),x54702)+E(x54701,f317(f90(a1),x54702))+~P1(f317(f317(f224(a1),f2(a1)),x54701)) % 169.26/169.09 [5471]~E(x54711,f317(a95,x54712))+E(f317(f90(a1),x54711),x54712)+~P1(f317(f317(f224(a1),f2(a1)),x54712)) % 169.26/169.09 [5481]E(x54811,f317(a95,x54812))+~E(x54812,f317(f90(a1),x54811))+~P1(f317(f317(f224(a1),f2(a1)),x54812)) % 169.26/169.09 [5482]E(f317(a95,x54821),x54822)+~E(x54821,f317(f90(a1),x54822))+~P1(f317(f317(f224(a1),f2(a1)),x54821)) % 169.26/169.09 [5513]~P112(x55132)+E(x55131,f2(x55132))+~P1(f317(f317(f277(x55132),f2(x55132)),x55131)) % 169.26/169.09 [5524]~P89(x55242)+E(x55241,f2(x55242))+P1(f317(f317(f225(x55242),f2(x55242)),f317(f70(x55242),x55241))) % 169.26/169.09 [5588]~P111(x55881)+E(f76(x55881,x55882),f72(x55881))+~P1(f317(f317(f225(x55881),f2(x55881)),x55882)) % 169.26/169.09 [5594]~P95(x55941)+E(f317(f90(x55941),f317(f94(a897),x55942)),f2(x55941))+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x55942))) % 169.26/169.09 [5605]~P89(x56051)+E(f317(f70(x56051),x56052),x56052)+~P1(f317(f317(f224(x56051),f2(x56051)),x56052)) % 169.26/169.09 [5606]~P89(x56061)+E(f317(f70(x56061),x56062),x56062)+~P1(f317(f317(f225(x56061),f2(x56061)),x56062)) % 169.26/169.09 [5615]E(x56151,f2(a897))+~E(f129(a897,f317(f292(a897,x56152),x56151)),f103(a897))+P1(f317(f317(f224(a897),x56151),x56152)) % 169.26/169.09 [5625]~P76(x56251)+E(f317(f317(f6(x56251,x56251),f5(x56251)),f317(f162(x56251),x56252)),f317(f155(x56251),x56252))+~P1(f317(f127(x56251),x56252)) % 169.26/169.09 [5628]~P128(x56281)+E(f317(f90(x56281),f317(a95,x56282)),f317(f93(x56281),x56282))+~P1(f317(f317(f224(a1),f2(a1)),x56282)) % 169.26/169.09 [5655]E(x56551,x56552)+P1(f317(f317(f225(a897),x56551),x56552))+~P1(f317(f317(f224(a897),x56551),x56552)) % 169.26/169.09 [5656]E(x56561,x56562)+P1(f317(f317(f225(a1),x56561),x56562))+~P1(f317(f317(f224(a1),x56561),x56562)) % 169.26/169.09 [5659]E(x56591,f72(a1))+~E(f317(f317(f75(a1),x56592),x56591),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x56592)) % 169.26/169.09 [5660]E(x56601,f72(a1))+~E(f317(f317(f75(a1),x56601),x56602),f72(a1))+~P1(f317(f317(f225(a1),f2(a1)),x56601)) % 169.26/169.09 [5701]~P42(x57012)+P1(f317(f317(f224(a1),f2(a1)),x57011))+~P1(f317(f317(f319(a1),x57011),x57012)) % 169.26/169.09 [5720]~P60(x57201,x57202)+P39(x57201,x57202)+~P1(f317(f28(f905(x57201,x57201)),x57202)) % 169.26/169.09 [5722]~P60(x57221,x57222)+P46(x57221,x57222)+~P1(f317(f28(f905(x57221,x57221)),x57222)) % 169.26/169.09 [5764]E(x57641,f178(f906(x57642,a894)))+~P1(f317(f28(x57642),x57641))+P1(f317(f317(f225(a897),f2(a897)),f317(f29(x57642),x57641))) % 169.26/169.09 [5791]~P1(f317(x57911,x57912))+P1(f317(x57911,f2(a897)))+P1(f317(f317(f225(a897),f613(x57912,x57911)),x57912)) % 169.26/169.09 [5814]E(x58141,f2(a897))+~E(f317(f155(a897),x58142),f2(a897))+~P1(f317(f317(f319(a897),x58141),f317(f162(a897),x58142))) % 169.26/169.09 [5882]E(x58821,x58822)+~P1(f317(f317(f224(a897),x58822),x58821))+~P1(f317(f317(f224(a897),x58821),x58822)) % 169.26/169.09 [5883]E(x58831,x58832)+~P1(f317(f317(f224(a1),x58832),x58831))+~P1(f317(f317(f224(a1),x58831),x58832)) % 169.26/169.09 [5892]E(x58921,x58922)+~P1(f317(f317(f277(a897),x58922),x58921))+~P1(f317(f317(f277(a897),x58921),x58922)) % 169.26/169.09 [5894]E(f317(f29(x58941),x58942),f2(a897))+~P1(f317(f28(x58941),x58942))+P1(f317(f317(f319(x58941),f707(x58942,x58941)),x58942)) % 169.26/169.09 [5903]E(f45(x59031,x59032),f41(x59031,x59032))+P1(f317(f317(f224(a1),f2(a1)),x59031))+~P1(f317(f317(f225(a1),f2(a1)),x59032)) % 169.26/169.09 [5929]~P1(f317(x59291,f848(x59291)))+P1(f317(x59291,f317(a95,x59292)))+~P1(f317(f317(f224(a1),f2(a1)),x59292)) % 169.26/169.09 [5932]P1(f317(f317(f224(a897),x59321),f398(x59322)))+~P1(f317(f28(a897),x59322))+~P1(f317(f317(f319(a897),x59321),x59322)) % 169.26/169.09 [5933]P1(f317(f317(f225(a897),x59331),f490(x59332)))+~P1(f317(f28(a897),x59332))+~P1(f317(f317(f319(a897),x59331),x59332)) % 169.26/169.09 [5964]E(x59641,x59642)+~P1(f317(f317(f225(a897),x59641),f317(a102,x59642)))+P1(f317(f317(f225(a897),x59641),x59642)) % 169.26/169.09 [6001]E(x60011,f317(a102,x60012))+~P1(f317(f317(f224(a897),x60011),f317(a102,x60012)))+P1(f317(f317(f224(a897),x60011),x60012)) % 169.26/169.09 [6017]P1(f317(x60171,f849(x60171)))+~P1(f317(x60171,f317(a95,x60172)))+~P1(f317(f317(f224(a1),f2(a1)),x60172)) % 169.26/169.09 [6033]~P1(f317(x60331,x60332))+~P1(f317(f317(f224(a1),f2(a1)),x60332))+P1(f317(x60331,f317(f90(a1),f747(x60331)))) % 169.26/169.09 [6044]~P89(x60442)+~E(x60441,f2(x60442))+~P1(f317(f317(f225(x60442),f2(x60442)),f317(f70(x60442),x60441))) % 169.26/169.09 [6069]~P60(x60691,x60692)+P39(x60691,f317(f276(x60691,x60691),x60692))+~P1(f317(f28(f905(x60691,x60691)),x60692)) % 169.26/169.09 [6078]~P95(x60781)+E(f317(f90(x60781),f317(f94(a897),x60782)),f317(f94(x60781),x60782))+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x60782))) % 169.26/169.09 [6081]E(f317(a102,x60811),x60812)+~P1(f317(f317(f225(a897),x60811),x60812))+P1(f317(f317(f225(a897),f317(a102,x60811)),x60812)) % 169.26/169.09 [6097]E(f317(f317(f30(a1),x60971),x60972),f2(a1))+~P1(f317(f317(f224(a1),x60971),f2(a1)))+~P1(f317(f317(f225(a1),x60972),x60971)) % 169.26/169.09 [6109]E(f40(a1,x61091,x61092),x61091)+~P1(f317(f317(f224(a1),x61091),f2(a1)))+~P1(f317(f317(f225(a1),x61092),x61091)) % 169.26/169.09 [6123]E(f42(x61231,x61232),f41(x61231,x61232))+~P1(f317(f317(f224(a1),f2(a1)),x61231))+~P1(f317(f317(f224(a1),f2(a1)),x61232)) % 169.26/169.09 [6133]E(f317(f317(f30(a1),x61331),x61332),f2(a1))+~P1(f317(f317(f224(a1),f2(a1)),x61331))+~P1(f317(f317(f225(a1),x61331),x61332)) % 169.26/169.09 [6144]E(f40(a897,f317(f94(a897),x61441),f317(f94(a897),x61442)),f317(f94(a897),x61441))+P1(f317(a183,f317(f94(a1),x61441)))+~P1(f317(a183,f317(f94(a1),x61442))) % 169.26/169.09 [6146]E(f40(a1,x61461,x61462),x61461)+~P1(f317(f317(f224(a1),f2(a1)),x61461))+~P1(f317(f317(f225(a1),x61461),x61462)) % 169.26/169.09 [6147]E(x61471,x61472)+~P1(f317(f317(f225(a897),x61471),f317(a102,x61472)))+~P1(f317(f317(f224(a897),x61472),x61471)) % 169.26/169.09 [6161]~P77(x61611)+~P1(f317(f317(f224(x61611),x61612),f2(x61611)))+P1(f317(f317(f224(x61611),x61612),f317(f73(x61611),x61612))) % 169.26/169.09 [6162]~P111(x61621)+~P1(f317(f317(f225(x61621),x61622),f2(x61621)))+P1(f317(f317(f225(x61621),x61622),f317(f73(x61621),x61622))) % 169.26/169.09 [6171]~P8(x61711)+E(f317(f317(f58(x61711,x61711,f92(x61711)),f232(x61711)),x61712),f32(x61711,x61712))+~P1(f317(f28(x61711),x61712)) % 169.26/169.09 [6172]~P8(x61721)+E(f317(f317(f58(x61721,x61721,f91(x61721)),f178(x61721)),x61722),f31(x61721,x61722))+~P1(f317(f28(x61721),x61722)) % 169.26/169.09 [6189]~P111(x61891)+~P1(f317(f317(f224(a1),f2(a1)),x61892))+P1(f317(f317(f224(x61891),f2(x61891)),f317(f93(x61891),x61892))) % 169.26/169.09 [6190]~P110(x61901)+~P1(f317(f317(f225(a897),f2(a897)),x61902))+P1(f317(f317(f225(x61901),f2(x61901)),f317(f90(x61901),x61902))) % 169.26/169.09 [6191]~P111(x61911)+~P1(f317(f317(f225(a1),f2(a1)),x61912))+P1(f317(f317(f225(x61911),f2(x61911)),f317(f93(x61911),x61912))) % 169.26/169.09 [6194]~P9(x61942)+~P9(x61941)+E(f317(f300(a897,a1,f90(a1)),f293(a897,f317(a95,x61941),f317(a95,x61942))),f293(a1,x61941,x61942)) % 169.26/169.09 [6200]P1(f317(x62001,x62002))+~P1(f317(f317(f224(a1),f2(a1)),x62002))+~P1(f317(x62001,f317(f90(a1),f731(x62001)))) % 169.26/169.09 [6232]E(f317(f317(f74(a897),f317(f94(a897),x62321)),f317(f94(a897),x62322)),f317(f94(a897),x62321))+P1(f317(f317(f225(a1),x62321),a77))+~P1(f317(f317(f225(a1),x62322),a77)) % 169.26/169.09 [6236]~P111(x62361)+P1(f317(f317(f225(x62361),f2(x62361)),f76(x62361,x62362)))+~P1(f317(f317(f225(x62361),f2(x62361)),x62362)) % 169.26/169.09 [6250]~P81(x62501)+~P1(f317(f317(f224(x62501),x62502),f2(x62501)))+P1(f317(f317(f224(x62501),f2(x62501)),f317(f73(x62501),x62502))) % 169.26/169.09 [6251]~P81(x62511)+~P1(f317(f317(f225(x62511),x62512),f2(x62511)))+P1(f317(f317(f225(x62511),f2(x62511)),f317(f73(x62511),x62512))) % 169.26/169.09 [6254]E(x62541,f232(f906(x62542,a894)))+~E(f317(f29(x62542),x62541),f317(f29(x62542),f232(f906(x62542,a894))))+~P1(f317(f28(x62542),f232(f906(x62542,a894)))) % 169.26/169.09 [6280]~P1(f317(f317(f225(a897),f2(a897)),x62802))+~P1(f317(f317(f277(a897),x62801),x62802))+P1(f317(f317(f224(a897),x62801),x62802)) % 169.26/169.09 [6281]~P1(f317(f317(f225(a1),f2(a1)),x62812))+~P1(f317(f317(f277(a1),x62811),x62812))+P1(f317(f317(f224(a1),x62811),x62812)) % 169.26/169.09 [6288]~P77(x62881)+P1(f317(f317(f224(x62881),x62882),f2(x62881)))+~P1(f317(f317(f224(x62881),x62882),f317(f73(x62881),x62882))) % 169.26/169.09 [6289]~P111(x62891)+P1(f317(f317(f225(x62891),x62892),f2(x62891)))+~P1(f317(f317(f225(x62891),x62892),f317(f73(x62891),x62892))) % 169.26/169.09 [6298]~P95(x62981)+P1(f317(f317(f319(x62981),f317(f94(x62981),x62982)),f176(x62981)))+~P1(f317(f317(f224(a1),a77),x62982)) % 169.26/169.09 [6327]E(x63271,f2(a897))+~P1(f317(f317(f225(a897),x63271),f317(a102,x63272)))+P1(f317(f317(f225(a897),f578(x63272,x63271)),x63272)) % 169.26/169.09 [6330]~P149(x63302)+P150(x63301,f317(f317(f299(a893),f910(x63302)),f178(f906(a893,a894))))+P1(f317(f317(f319(a896),f768(x63301,x63302)),a907)) % 169.26/169.09 [6352]~P111(x63521)+~P1(f317(f317(f225(x63521),f2(x63521)),f76(x63521,x63522)))+P1(f317(f317(f225(x63521),f2(x63521)),x63522)) % 169.26/169.09 [6354]~E(f317(f94(a897),x63542),f317(f94(a897),x63541))+P1(f317(f317(f224(a1),f317(f94(a1),x63541)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x63542))) % 169.26/169.09 [6384]E(f317(f241(a1,a1),f45(x63841,x63842)),f317(f317(f30(a1),x63841),x63842))+~P1(f317(f317(f225(a1),x63841),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x63842)) % 169.26/169.09 [6424]E(f317(f246(a1,a1),f45(x64241,x64242)),f40(a1,x64241,x64242))+~P1(f317(f317(f225(a1),x64241),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x64242)) % 169.26/169.09 [6427]~P111(x64272)+~P1(f317(f317(f224(x64272),f2(x64272)),f317(f93(x64272),x64271)))+P1(f317(f317(f224(a1),f2(a1)),x64271)) % 169.26/169.09 [6428]~P110(x64282)+~P1(f317(f317(f225(x64282),f2(x64282)),f317(f90(x64282),x64281)))+P1(f317(f317(f225(a897),f2(a897)),x64281)) % 169.26/169.09 [6429]~P111(x64292)+~P1(f317(f317(f225(x64292),f2(x64292)),f317(f93(x64292),x64291)))+P1(f317(f317(f225(a1),f2(a1)),x64291)) % 169.26/169.09 [6432]E(f317(f241(a1,a1),f42(x64321,x64322)),f317(f317(f30(a1),x64321),x64322))+~P1(f317(f317(f224(a1),f2(a1)),x64322))+~P1(f317(f317(f225(a1),f2(a1)),x64321)) % 169.26/169.09 [6446]E(f317(f246(a1,a1),f42(x64461,x64462)),f40(a1,x64461,x64462))+~P1(f317(f317(f224(a1),f2(a1)),x64462))+~P1(f317(f317(f225(a1),f2(a1)),x64461)) % 169.26/169.09 [6462]~P81(x64621)+P1(f317(f317(f224(x64621),x64622),f2(x64621)))+~P1(f317(f317(f224(x64621),f2(x64621)),f317(f73(x64621),x64622))) % 169.26/169.09 [6463]~P81(x64631)+P1(f317(f317(f225(x64631),x64632),f2(x64631)))+~P1(f317(f317(f225(x64631),f2(x64631)),f317(f73(x64631),x64632))) % 169.26/169.09 [6489]P1(f317(f44(x64891,x64892),f45(x64891,x64892)))+~P1(f317(f317(f225(a1),x64891),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x64892)) % 169.26/169.09 [6503]~P1(f317(f317(f225(a897),f2(a897)),x65031))+~P1(f317(f317(f277(a897),x65032),x65031))+~P1(f317(f317(f225(a897),x65031),x65032)) % 169.26/169.09 [6516]P1(f317(f44(x65161,x65162),f42(x65161,x65162)))+~P1(f317(f317(f224(a1),f2(a1)),x65161))+~P1(f317(f317(f225(a1),f2(a1)),x65162)) % 169.26/169.09 [6559]~P81(x65591)+P1(f317(f317(f224(x65591),f317(f73(x65591),x65592)),f2(x65591)))+~P1(f317(f317(f224(x65591),f2(x65591)),x65592)) % 169.26/169.09 [6560]~P81(x65601)+P1(f317(f317(f225(x65601),f317(f73(x65601),x65602)),f2(x65601)))+~P1(f317(f317(f225(x65601),f2(x65601)),x65602)) % 169.26/169.09 [6581]E(f317(f317(f23(a897),f317(a95,x65811)),f317(a95,x65812)),f317(a95,f184(x65811,x65812)))+~P1(f317(f317(f224(a1),f2(a1)),x65812))+~P1(f317(f317(f224(a1),f2(a1)),x65811)) % 169.26/169.09 [6599]P1(f317(f317(f224(a1),f2(a1)),f184(x65991,x65992)))+~P1(f317(f317(f224(a1),f2(a1)),x65992))+~P1(f317(f317(f224(a1),f2(a1)),x65991)) % 169.26/169.09 [6636]~P1(f317(x66361,x66362))+P1(f317(x66361,f2(a897)))+P1(f317(x66361,f317(f317(f74(a897),f613(x66362,x66361)),f72(a897)))) % 169.26/169.09 [6721]E(f317(f94(a897),x67211),f317(f94(a897),x67212))+~P1(f317(f317(f224(a1),f317(f94(a1),x67212)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x67211))) % 169.26/169.09 [6735]~E(x67351,f2(a897))+~E(f653(x67352,x67351),f2(a897))+E(f317(f132(a897,a897,f74(a897),x67351),x67352),f2(a897)) % 169.26/169.09 [6759]~P1(f317(f28(x67591),f590(x67592,x67591)))+~P1(f317(f28(f906(x67591,a894)),x67592))+P1(f317(f28(x67591),f31(f906(x67591,a894),x67592))) % 169.26/169.09 [6765]E(x67651,x67652)+P1(f317(f317(f225(a1),x67651),x67652))+~P1(f317(f317(f225(a1),x67651),f317(f317(f74(a1),x67652),f72(a1)))) % 169.26/169.09 [6766]P1(f317(f317(f224(a897),f317(a95,x67661)),f317(a95,x67662)))+~P1(f317(f317(f224(a1),f2(a1)),x67662))+~P1(f317(f317(f224(a1),x67661),x67662)) % 169.26/169.09 [6767]P1(f317(f317(f224(a897),f317(a95,x67671)),f317(a95,x67672)))+~P1(f317(f317(f225(a1),f2(a1)),x67671))+~P1(f317(f317(f224(a1),x67671),x67672)) % 169.26/169.09 [6769]P1(f317(f317(f225(a897),f317(a95,x67691)),f317(a95,x67692)))+~P1(f317(f317(f224(a1),f2(a1)),x67691))+~P1(f317(f317(f225(a1),x67691),x67692)) % 169.26/169.09 [6770]P1(f317(f317(f225(a897),f317(a95,x67701)),f317(a95,x67702)))+~P1(f317(f317(f225(a1),f2(a1)),x67702))+~P1(f317(f317(f225(a1),x67701),x67702)) % 169.26/169.09 [6781]E(f40(a897,f317(a95,x67811),f317(a95,x67812)),f317(a95,f40(a1,x67811,x67812)))+~P1(f317(f317(f224(a1),f2(a1)),x67812))+~P1(f317(f317(f224(a1),f2(a1)),x67811)) % 169.26/169.09 [6805]~P81(x68051)+~P1(f317(f317(f224(x68051),f317(f73(x68051),x68052)),f2(x68051)))+P1(f317(f317(f224(x68051),f2(x68051)),x68052)) % 169.26/169.09 [6806]~P81(x68061)+~P1(f317(f317(f225(x68061),f317(f73(x68061),x68062)),f2(x68061)))+P1(f317(f317(f225(x68061),f2(x68061)),x68062)) % 169.26/169.09 [6821]~P1(f317(f317(f225(a1),a77),x68212))+~P1(f317(f317(f225(a1),x68211),x68212))+P1(f317(f317(f225(a897),f317(f94(a897),x68211)),f317(f94(a897),x68212))) % 169.26/169.09 [6915]~P1(f317(f317(f224(a1),f2(a1)),x69151))+P1(f317(f317(f225(a897),f317(a95,x69151)),x69152))+~P1(f317(f317(f225(a1),x69151),f317(f90(a1),x69152))) % 169.26/169.09 [6920]P1(f317(x69201,x69202))+~P1(f317(x69201,f317(a20,f789(x69201,x69202))))+~P1(f317(f317(f319(a897),x69202),f232(f906(a897,a894)))) % 169.26/169.09 [6931]E(x69311,f2(a1))+E(f40(a1,x69312,x69311),f2(a1))+E(f317(f317(f23(a1),f317(f73(a1),f317(f317(f30(a1),x69312),x69311))),f72(a1)),f317(f317(f30(a1),x69312),f317(f73(a1),x69311))) % 169.26/169.09 [6945]~P1(f317(f317(f224(a1),f2(a1)),x69451))+~P1(f317(f317(f225(a897),f317(a95,x69451)),x69452))+P1(f317(f317(f225(a1),x69451),f317(f90(a1),x69452))) % 169.26/169.09 [6981]~P1(f317(f317(f224(a897),f317(a95,x69811)),f317(a95,x69812)))+~P1(f317(f317(f224(a1),f2(a1)),x69812))+P1(f317(f317(f224(a1),x69811),x69812)) % 169.26/169.09 [6982]~P1(f317(f317(f224(a897),f317(a95,x69821)),f317(a95,x69822)))+~P1(f317(f317(f225(a1),f2(a1)),x69821))+P1(f317(f317(f224(a1),x69821),x69822)) % 169.26/169.09 [7014]P1(f317(f317(f224(a1),x70141),x70142))+~P1(f317(f317(f224(a897),f317(f94(a897),x70141)),f317(f94(a897),x70142)))+P1(f317(f317(f224(a1),x70141),a77)) % 169.26/169.09 [7040]P1(f317(f317(f224(a1),f2(a1)),f40(a1,x70401,x70402)))+~P1(f317(f317(f224(a1),f2(a1)),x70402))+~P1(f317(f317(f224(a1),f2(a1)),x70401)) % 169.26/169.09 [7138]P1(f317(f317(f225(a1),a77),x71381))+~P1(f317(f317(f225(a1),x71382),x71381))+~P1(f317(f317(f225(a897),f317(f94(a897),x71382)),f317(f94(a897),x71381))) % 169.26/169.09 [7192]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x71921),x71922)),f40(a1,x71921,x71922)),f45(x71921,x71922))+~P1(f317(f317(f225(a1),x71921),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x71922)) % 169.26/169.09 [7212]E(f317(f317(f242(a1,a1),f317(f317(f30(a1),x72121),x72122)),f40(a1,x72121,x72122)),f42(x72121,x72122))+~P1(f317(f317(f224(a1),f2(a1)),x72122))+~P1(f317(f317(f224(a1),f2(a1)),x72121)) % 169.26/169.09 [7266]~P99(x72662)+E(x72661,f103(x72662))+E(f317(f132(x72662,x72662,f75(x72662),f317(f131(x72662),x72661)),f317(f161(x72662),x72661)),f317(f57(x72662,f75(x72662)),f317(f162(x72662),x72661))) % 169.26/169.09 [7381]~E(x73811,f2(a897))+E(f317(f132(a897,a897,f74(a897),x73811),x73812),f2(a897))+P1(f317(f317(f319(a897),f653(x73812,x73811)),f317(f162(a897),x73812))) % 169.26/169.09 [7434]~P1(f317(f317(f224(a1),x74341),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x74341),x74342)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74342)) % 169.26/169.09 [7435]~P1(f317(f317(f225(a1),x74352),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x74351),x74352)),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x74351)) % 169.26/169.09 [7436]~P1(f317(f317(f225(a1),x74362),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x74361),x74362)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74361)) % 169.26/169.09 [7438]~P1(f317(f317(f225(a1),x74381),f2(a1)))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x74381),x74382)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x74382)) % 169.26/169.09 [7445]P1(f317(f317(f319(f906(x74451,a894)),f590(x74452,x74451)),x74452))+~P1(f317(f28(f906(x74451,a894)),x74452))+P1(f317(f28(x74451),f31(f906(x74451,a894),x74452))) % 169.26/169.09 [7535]P27(x75351,x75351,x75352,f232(f906(x75351,a894)))+~E(f317(f300(x75351,x75351,x75352),f232(f906(x75351,a894))),f232(f906(x75351,a894)))+~P1(f317(f28(x75351),f232(f906(x75351,a894)))) % 169.26/169.09 [7657]~P27(x76571,x76571,x76572,f232(f906(x76571,a894)))+E(f317(f300(x76571,x76571,x76572),f232(f906(x76571,a894))),f232(f906(x76571,a894)))+~P1(f317(f28(x76571),f232(f906(x76571,a894)))) % 169.26/169.09 [7797]E(f317(f317(f30(a1),x77971),x77972),f317(f94(a1),a87))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x77971),x77972)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x77971)) % 169.26/169.09 [7854]~P1(f317(f317(f225(a1),x78542),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f30(a1),x78541),x78542)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x78541)) % 169.26/169.09 [7859]E(f317(f317(f74(a1),x78591),x78592),f40(a1,x78591,x78592))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),x78591),x78592)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x78591)) % 169.26/169.09 [7862]P1(f317(f317(f225(a1),x78621),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f30(a1),x78621),x78622)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x78622)) % 169.26/169.09 [7878]~P149(x78782)+P150(x78781,f317(f317(f299(a893),f910(x78782)),f178(f906(a893,a894))))+~P150(x78781,f317(f317(f299(a893),f317(a909,f768(x78781,x78782))),f178(f906(a893,a894)))) % 169.26/169.09 [8559]~P4(x85591)+P16(x85591,x85592)+~P1(f317(f317(f224(x85591),f317(f317(f154(x85591),x85592),f687(x85592,x85591))),f317(f317(f154(x85591),x85592),f688(x85592,x85591)))) % 169.26/169.09 [8560]~P4(x85601)+P16(x85601,x85602)+~P1(f317(f317(f224(x85601),f317(f317(f154(x85601),x85602),f695(x85602,x85601))),f317(f317(f154(x85601),x85602),f699(x85602,x85601)))) % 169.26/169.09 [5757]E(x57571,f2(a1))+~E(f40(a1,x57572,x57571),f2(a1))+E(f317(f317(f30(a1),x57572),f317(f73(a1),x57571)),f317(f73(a1),f317(f317(f30(a1),x57572),x57571))) % 169.26/169.09 [5775]~P42(x57752)+~P42(x57751)+P42(f317(f317(f91(f906(a1,a894)),x57751),x57752)) % 169.26/169.09 [5776]~P42(x57762)+~P42(x57761)+P42(f317(f317(f92(f906(a1,a894)),x57761),x57762)) % 169.26/169.09 [5794]~P95(x57941)+~P64(x57941)+E(f317(f73(x57941),f317(f317(f281(x57941),f72(x57941)),x57942)),f317(f317(f281(x57941),f317(f94(x57941),a87)),x57942)) % 169.26/169.09 [5921]E(x59211,f2(a1))+~E(f40(a1,x59212,x59211),f2(a1))+E(f317(f317(f30(a1),f317(f73(a1),x59212)),x59211),f317(f73(a1),f317(f317(f30(a1),x59212),x59211))) % 169.26/169.09 [6063]~P4(x60631)+P16(x60631,x60632)+P1(f317(f317(f225(a897),f688(x60632,x60631)),f317(f179(f898(x60631)),x60632))) % 169.26/169.09 [6064]~P4(x60641)+P16(x60641,x60642)+P1(f317(f317(f225(a897),f699(x60642,x60641)),f317(f179(f898(x60641)),x60642))) % 169.26/169.09 [6226]~P95(x62261)+~E(f317(f94(x62261),x62262),f2(x62261))+P30(x62261,f317(f94(x62261),f317(f317(f74(a1),x62262),f317(f73(a1),a77)))) % 169.26/169.09 [6227]~P95(x62271)+~E(f317(f94(x62271),x62272),f2(x62271))+P30(x62271,f317(f94(x62271),f317(f317(f74(a1),a77),f317(f73(a1),x62272)))) % 169.26/169.09 [6229]E(f317(a46,f42(f317(f73(a1),x62291),f317(f73(a1),x62292))),f41(x62291,x62292))+P1(f317(f317(f224(a1),f2(a1)),x62291))+P1(f317(f317(f225(a1),f2(a1)),x62292)) % 169.26/169.09 [6360]~E(x63602,f2(a897))+~E(x63601,f2(a897))+P1(f317(f317(f224(a1),f317(f90(a1),x63601)),f317(f73(a1),f317(f90(a1),x63602)))) % 169.26/169.09 [6390]E(f317(f317(f74(a897),f317(f94(a897),x63901)),f317(f94(a897),x63902)),f317(f94(a897),f317(f317(f74(a1),x63901),x63902)))+P1(f317(f317(f225(a1),x63901),a77))+P1(f317(f317(f225(a1),x63902),a77)) % 169.26/169.09 [6525]~P77(x65251)+~P1(f317(f317(f224(x65251),f2(x65251)),x65252))+P1(f317(f317(f224(x65251),f317(f73(x65251),x65252)),x65252)) % 169.26/169.09 [6526]~P77(x65261)+~P1(f317(f317(f225(x65261),f2(x65261)),x65262))+P1(f317(f317(f225(x65261),f317(f73(x65261),x65262)),x65262)) % 169.26/169.09 [6707]E(f317(f317(f23(a897),f317(a95,x67071)),f317(a95,x67072)),f317(a95,f317(f317(f23(a1),x67071),x67072)))+~P1(f317(f317(f224(a1),f2(a1)),x67072))+~P1(f317(f317(f224(a1),x67072),x67071)) % 169.26/169.09 [6743]E(f317(a95,f40(a1,f317(f94(a1),x67431),f317(f94(a1),x67432))),f40(a897,f317(f94(a897),x67431),f317(f94(a897),x67432)))+P1(f317(a183,f317(f94(a1),x67431)))+P1(f317(a183,f317(f94(a1),x67432))) % 169.26/169.09 [6760]~P77(x67601)+P1(f317(f317(f224(x67601),f2(x67601)),x67602))+~P1(f317(f317(f224(x67601),f317(f73(x67601),x67602)),x67602)) % 169.26/169.09 [6761]~P77(x67611)+P1(f317(f317(f225(x67611),f2(x67611)),x67612))+~P1(f317(f317(f225(x67611),f317(f73(x67611),x67612)),x67612)) % 169.26/169.09 [6773]~P77(x67731)+~P1(f317(f317(f224(x67731),f2(x67731)),x67732))+P1(f317(f317(f224(x67731),f2(x67731)),f317(f317(f74(x67731),x67732),x67732))) % 169.26/169.09 [6775]~P77(x67751)+~P1(f317(f317(f225(x67751),f2(x67751)),x67752))+P1(f317(f317(f225(x67751),f2(x67751)),f317(f317(f74(x67751),x67752),x67752))) % 169.26/169.09 [6786]E(f317(f317(f74(a897),f317(a95,x67861)),f317(a95,x67862)),f317(a95,f317(f317(f74(a1),x67861),x67862)))+~P1(f317(f317(f224(a1),f2(a1)),x67862))+~P1(f317(f317(f224(a1),f2(a1)),x67861)) % 169.26/169.09 [6798]E(x67981,f2(a897))+P1(f317(f317(f225(a897),f2(a897)),x67982))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f234(a897),x67982),x67981))) % 169.26/169.09 [6833]~P95(x68331)+E(f317(f94(x68331),x68332),f2(x68331))+~P30(x68331,f317(f94(x68331),f317(f317(f74(a1),a77),f317(f73(a1),x68332)))) % 169.26/169.09 [6834]~P95(x68341)+E(f317(f94(x68341),x68342),f2(x68341))+~P30(x68341,f317(f94(x68341),f317(f317(f74(a1),x68342),f317(f73(a1),a77)))) % 169.26/169.09 [6893]~P1(f317(f28(x68931),x68932))+~P1(f317(f28(x68931),f232(f906(x68931,a894))))+P1(f317(f28(x68931),f317(f73(f906(x68931,a894)),x68932))) % 169.26/169.09 [6916]~P1(f317(f317(f225(a1),f2(a1)),x69162))+~P1(f317(f317(f224(a1),x69162),x69161))+P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x69161),x69162))) % 169.26/169.09 [6917]~P1(f317(f317(f224(a1),x69171),f2(a1)))+~P1(f317(f317(f225(a1),x69172),f2(a1)))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x69171),x69172))) % 169.26/169.09 [6955]~P1(f317(f317(f224(a1),f2(a1)),x69552))+~P1(f317(f317(f224(a1),f2(a1)),x69551))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x69551),x69552))) % 169.26/169.09 [6956]~P1(f317(f317(f224(a1),f2(a1)),x69562))+~P1(f317(f317(f224(a1),f2(a1)),x69561))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f75(a1),x69561),x69562))) % 169.26/169.09 [6957]~P1(f317(f317(f224(a1),f2(a1)),x69572))+~P1(f317(f317(f224(a1),f2(a1)),x69571))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x69571),x69572))) % 169.26/169.09 [6958]~P1(f317(f317(f224(a1),f2(a1)),x69581))+~P1(f317(f317(f225(a1),f2(a1)),x69582))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x69581),x69582))) % 169.26/169.09 [6959]~P1(f317(f317(f225(a897),f2(a897)),x69592))+~P1(f317(f317(f225(a897),f2(a897)),x69591))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f75(a897),x69591),x69592))) % 169.26/169.09 [7027]E(x70271,f2(a1))+E(f40(a1,x70272,x70271),f2(a1))+E(f317(f317(f23(a1),f317(f73(a1),f317(f317(f30(a1),x70272),x70271))),f72(a1)),f317(f317(f30(a1),f317(f73(a1),x70272)),x70271)) % 169.26/169.09 [7084]P1(f317(f317(f225(a897),f2(a897)),x70841))+P1(f317(f317(f225(a897),f2(a897)),x70842))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f74(a897),x70842),x70841))) % 169.26/169.09 [7088]~P77(x70881)+P1(f317(f317(f224(x70881),f2(x70881)),x70882))+~P1(f317(f317(f224(x70881),f2(x70881)),f317(f317(f74(x70881),x70882),x70882))) % 169.26/169.09 [7089]~P77(x70891)+P1(f317(f317(f225(x70891),f2(x70891)),x70892))+~P1(f317(f317(f225(x70891),f2(x70891)),f317(f317(f74(x70891),x70892),x70892))) % 169.26/169.09 [7139]~P1(f317(f28(x71391),x71392))+P1(f317(f28(x71391),f232(f906(x71391,a894))))+~P1(f317(f28(x71391),f317(f73(f906(x71391,a894)),x71392))) % 169.26/169.09 [7204]P1(f317(f317(f224(a1),x72041),f2(a1)))+~P1(f317(f317(f225(a1),x72042),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x72041),x72042))) % 169.26/169.09 [7210]~P1(f317(f317(f225(a1),f2(a1)),x72101))+P1(f317(f317(f224(a1),x72101),x72102))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x72102),x72101))) % 169.26/169.09 [7211]~P1(f317(f317(f224(a1),f2(a1)),x72112))+P1(f317(f317(f224(a1),x72111),x72112))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x72112),x72111))) % 169.26/169.09 [7241]P1(f317(f317(f224(a1),f2(a1)),x72411))+~P1(f317(f317(f225(a1),f2(a1)),x72412))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f30(a1),x72411),x72412))) % 169.26/169.09 [7242]P1(f317(f317(f225(a1),f2(a1)),x72421))+~P1(f317(f317(f224(a1),f2(a1)),x72422))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f30(a1),x72422),x72421))) % 169.26/169.09 [7688]~P1(f317(f28(x76882),f232(f906(x76882,a894))))+~P1(f317(f28(x76881),f232(f906(x76881,a894))))+P1(f317(f28(f904(x76881,x76882)),f232(f906(f904(x76881,x76882),a894)))) % 169.26/169.09 [7689]~P1(f317(f28(x76892),f232(f906(x76892,a894))))+~P1(f317(f28(x76891),f232(f906(x76891,a894))))+P1(f317(f28(f905(x76891,x76892)),f232(f906(f905(x76891,x76892),a894)))) % 169.26/169.09 [7761]~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x77611))+~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x77612))+P1(f317(f317(f225(a897),x77611),f317(f317(f75(a897),x77612),x77611))) % 169.26/169.09 [7762]~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x77621))+~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x77622))+P1(f317(f317(f225(a897),x77621),f317(f317(f75(a897),x77621),x77622))) % 169.26/169.09 [7796]E(f317(f29(x77961),f232(f906(x77961,a894))),f317(a102,f2(a897)))+P1(f317(f28(x77962),f232(f906(x77962,a894))))+~P1(f317(f28(f906(x77962,x77961)),f232(f906(f906(x77962,x77961),a894)))) % 169.26/169.09 [7924]~P1(f317(f317(f224(a897),f317(a102,f2(a897))),x79241))+~P1(f317(f317(f224(a897),f317(a102,f2(a897))),x79242))+P1(f317(f317(f224(a897),f317(a102,f2(a897))),f317(f317(f75(a897),x79241),x79242))) % 169.26/169.09 [7925]~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x79252))+~P1(f317(f317(f225(a897),f317(a102,f2(a897))),x79251))+P1(f317(f317(f225(a897),f317(a102,f2(a897))),f317(f317(f75(a897),x79251),x79252))) % 169.26/169.09 [8606]E(x86061,f103(x86062))+~P1(f317(f127(x86062),x86061))+E(f167(x86062,f317(f317(f8(a894,a894,x86062),a312),f317(f317(f7(x86062,x86062,a894),a314),f134(x86062,x86061))),x86061),f104(x86062,x86061)) % 169.26/169.09 [8701]~P42(x87012)+~P42(x87011)+E(f317(f300(a897,a1,f90(a1)),f317(f317(f91(f906(a897,a894)),f317(f300(a1,a897,a95),x87011)),f317(f300(a1,a897,a95),x87012))),f317(f317(f91(f906(a1,a894)),x87011),x87012)) % 169.26/169.09 [8702]~P42(x87022)+~P42(x87021)+E(f317(f300(a897,a1,f90(a1)),f317(f317(f92(f906(a897,a894)),f317(f300(a1,a897,a95),x87021)),f317(f300(a1,a897,a95),x87022))),f317(f317(f92(f906(a1,a894)),x87021),x87022)) % 169.26/169.09 [9369]~P95(x93691)+~E(f317(f94(x93691),x93692),f72(x93691))+P30(x93691,f317(f94(x93691),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x93692)))) % 169.26/169.09 [9623]~P95(x96231)+E(f317(f94(x96231),x96232),f72(x96231))+~P30(x96231,f317(f94(x96231),f317(f317(f74(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),f317(f73(a1),x96232)))) % 169.26/169.09 [10382]E(x103821,f2(a1))+E(x103822,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103822))),f317(f317(f317(f86(f905(a1,a1)),f317(f317(a314,f76(a1,x103821)),f76(a1,x103822))),f48(x103821,x103822)),f317(f317(f247(a1,a1,f905(a1,a1)),f317(f317(f18(a1,f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),f317(f317(f8(f906(a1,f906(f905(a1,a1),f905(a1,a1))),f906(f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),a1),f18(a1,f905(a1,a1),f905(a1,a1))),f317(f317(f8(f905(a1,a1),f906(a1,f906(f905(a1,a1),f905(a1,a1))),a1),f317(f7(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f317(f317(f8(a894,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(a1,a1))),f317(f317(f7(a1,a1,a894),a314),f2(a1))))),f317(f317(f7(a1,a1,f905(a1,a1)),f317(f317(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f7(a1,f906(a1,a1),f906(a1,f905(a1,a1))),f317(f317(f8(f906(a1,f905(a1,a1)),f906(f906(a1,a1),f906(a1,f905(a1,a1))),a1),f8(a1,f905(a1,a1),a1)),f317(f317(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f317(f317(f7(a1,a1,a1),f317(f317(f8(a1,f906(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f317(f23(a1),f317(f70(a1),x103822))))),f48(x103821,x103822)))),f41(x103821,x103822)) % 169.26/169.09 [10383]E(x103831,f2(a1))+E(x103832,f2(a1))+E(f317(f248(a1,a1,a1,a1,f25(a1),f317(f75(a1),f76(a1,x103832))),f317(f317(f317(f86(f905(a1,a1)),f317(f317(a316,f317(f317(a315,f317(f317(f225(a1),f2(a1)),x103832)),f317(f317(f224(a1),f2(a1)),x103831))),f317(f317(a315,f317(f317(f225(a1),x103832),f2(a1))),f317(f317(f225(a1),x103831),f2(a1))))),f48(x103831,x103832)),f317(f317(f247(a1,a1,f905(a1,a1)),f317(f317(f18(a1,f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),f317(f317(f8(f906(a1,f906(f905(a1,a1),f905(a1,a1))),f906(f906(a1,f905(a1,a1)),f906(a1,f905(a1,a1))),a1),f18(a1,f905(a1,a1),f905(a1,a1))),f317(f317(f8(f905(a1,a1),f906(a1,f906(f905(a1,a1),f905(a1,a1))),a1),f317(f7(a1,f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),f317(f317(f8(a894,f906(f905(a1,a1),f906(f905(a1,a1),f905(a1,a1))),a1),f86(f905(a1,a1))),f317(f317(f7(a1,a1,a894),a314),f2(a1))))),f317(f317(f7(a1,a1,f905(a1,a1)),f317(f317(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f73(a1))),f2(a1))))),f317(f317(f7(a1,f906(a1,a1),f906(a1,f905(a1,a1))),f317(f317(f8(f906(a1,f905(a1,a1)),f906(f906(a1,a1),f906(a1,f905(a1,a1))),a1),f8(a1,f905(a1,a1),a1)),f317(f317(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f317(f317(f7(a1,a1,a1),f317(f317(f8(a1,f906(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f317(f23(a1),f317(f70(a1),x103832))))),f48(x103831,x103832)))),f41(x103831,x103832)) % 169.26/169.09 [5783]~P111(x57831)+~P95(x57831)+E(f317(f70(x57831),f317(f317(f234(x57831),f317(f94(x57831),a87)),x57832)),f72(x57831)) % 169.26/169.09 [6299]~P128(x62991)+~P1(f317(f317(f225(a1),x62992),f2(a1)))+E(f317(f73(x62991),f317(f90(x62991),f317(a95,f317(f73(a1),x62992)))),f317(f93(x62991),x62992)) % 169.26/169.09 [6509]P1(f317(f317(f224(a89),x65091),f72(a89)))+E(f317(f317(f74(a89),f72(a89)),f262(x65091,f317(f317(f30(a89),x65092),x65091))),f262(x65091,x65092))+P1(f317(f317(f225(a89),x65092),x65091)) % 169.26/169.09 [6996]~E(x69962,f72(a897))+~P1(f317(f317(f225(a897),f2(a897)),x69961))+P1(f317(f317(f277(a897),f317(f317(f75(a897),x69961),x69962)),x69961)) % 169.26/169.09 [6997]~E(x69971,f72(a897))+~P1(f317(f317(f225(a897),f2(a897)),x69972))+P1(f317(f317(f277(a897),f317(f317(f75(a897),x69971),x69972)),x69972)) % 169.26/169.09 [7129]~P94(x71291)+~P1(f317(f317(f319(x71291),x71292),f100(x71291)))+~E(f317(f317(f74(x71291),f317(f317(f74(x71291),f72(x71291)),x71292)),x71292),f2(x71291)) % 169.26/169.09 [7243]~P1(f317(f317(f224(a1),x72432),f2(a1)))+~P1(f317(f317(f225(a1),x72431),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f42(f317(f73(a1),x72431),f317(f73(a1),x72432)))),f317(f317(f30(a1),x72431),x72432)) % 169.26/169.09 [7260]~P1(f317(f317(f224(a1),x72602),f2(a1)))+~P1(f317(f317(f225(a1),x72601),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f42(f317(f73(a1),x72601),f317(f73(a1),x72602)))),f40(a1,x72601,x72602)) % 169.26/169.09 [7268]~P1(f317(f317(f225(a1),x72682),f2(a1)))+E(f317(f241(a1,a1),f317(a46,f45(f317(f73(a1),x72681),f317(f73(a1),x72682)))),f317(f317(f30(a1),x72681),x72682))+~P1(f317(f317(f225(a1),f2(a1)),x72681)) % 169.26/169.09 [7286]~P1(f317(f317(f225(a1),x72862),f2(a1)))+E(f317(f246(a1,a1),f317(a46,f45(f317(f73(a1),x72861),f317(f73(a1),x72862)))),f40(a1,x72861,x72862))+~P1(f317(f317(f225(a1),f2(a1)),x72861)) % 169.26/169.09 [7337]E(f317(f317(f30(a1),f317(f317(f234(a1),x73371),x73372)),x73371),f317(f317(f234(a1),x73371),f317(f317(f23(a897),x73372),f317(a102,f2(a897)))))+~P1(f317(f317(f225(a897),f2(a897)),x73372))+~P1(f317(f317(f225(a1),f2(a1)),x73371)) % 169.26/169.09 [7441]~P1(f317(f317(f225(a897),f2(a897)),x74411))+~P1(f317(f317(f225(a897),f2(a897)),x74412))+P1(f317(f317(f225(a897),f317(f317(f23(a897),x74411),x74412)),x74411)) % 169.26/169.09 [7442]~P1(f317(f317(f225(a897),f2(a897)),x74421))+~P1(f317(f317(f225(a897),f72(a897)),x74422))+P1(f317(f317(f225(a897),f317(f317(f30(a897),x74421),x74422)),x74421)) % 169.26/169.09 [7443]~P1(f317(f317(f225(a1),f2(a1)),x74431))+~P1(f317(f317(f225(a1),f72(a1)),x74432))+P1(f317(f317(f225(a1),f317(f317(f30(a1),x74431),x74432)),x74431)) % 169.26/169.09 [7580]E(x75801,f2(a897))+~E(x75802,f2(a1))+~P1(f317(f317(f225(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x75802)),x75801))) % 169.26/169.09 [7621]E(x76211,f72(a897))+~P1(f317(f317(f225(a897),f2(a897)),x76212))+~P1(f317(f317(f277(a897),f317(f317(f75(a897),x76212),x76211)),x76212)) % 169.26/169.09 [7622]E(x76221,f72(a897))+~P1(f317(f317(f225(a897),f2(a897)),x76222))+~P1(f317(f317(f277(a897),f317(f317(f75(a897),x76221),x76222)),x76222)) % 169.26/169.09 [8003]~E(x80032,f103(f898(x80031)))+E(f317(f179(f898(f898(x80031))),f169(x80031,x80032)),f2(a897))+~P16(a897,f317(f158(a897),f317(f317(f144(f898(x80031),a897),f179(f898(x80031))),x80032))) % 169.26/169.09 [8256]P1(f317(x82561,x82562))+~P1(f317(x82561,f317(a98,f485(x82561,x82562))))+~P1(f317(f317(f319(f906(f905(a897,a897),a894)),x82562),a88)) % 169.26/169.09 [8272]E(x82721,f103(f898(x82722)))+E(f317(f179(f898(x82722)),f317(f317(f154(f898(x82722)),x82721),f2(a897))),f317(f179(f898(f898(x82722))),f169(x82722,x82721)))+~P16(a897,f317(f158(a897),f317(f317(f144(f898(x82722),a897),f179(f898(x82722))),x82721))) % 169.26/169.09 [8413]~P40(x84131,x84132)+~P41(x84131,x84132)+P40(x84131,f317(f317(f23(f906(f905(x84131,x84131),a894)),x84132),f297(x84131,f178(f906(f905(x84131,x84131),a894))))) % 169.26/169.09 [8986]~P1(f317(f28(x89861),f317(f252(x89861),x89862)))+~P1(f317(f28(x89861),f232(f906(x89861,a894))))+P1(f317(f28(x89861),f317(f252(x89861),f317(f317(f8(a894,a894,x89861),a312),x89862)))) % 169.26/169.09 [9050]E(f317(f317(f242(a897,a897),f317(a102,f317(f317(f30(a897),f317(f317(f23(a897),x90501),x90502)),x90502))),f40(a897,f317(f317(f23(a897),x90501),x90502),x90502)),f79(f905(a897,a897),f43(x90501,x90502)))+~P1(f317(f317(f225(a897),f2(a897)),x90502))+~P1(f317(f317(f224(a897),x90502),x90501)) % 169.26/169.09 [9334]~P1(f317(f28(x93341),f317(f252(x93341),x93342)))+P1(f317(f28(x93341),f232(f906(x93341,a894))))+~P1(f317(f28(x93341),f317(f252(x93341),f317(f317(f8(a894,a894,x93341),a312),x93342)))) % 169.26/169.09 [10063]P29(x100631,x100632)+~P39(x100631,f317(f241(f906(f905(x100631,x100631),a894),f906(f905(x100631,x100631),a894)),x100632))+~P1(f317(f317(f224(f906(f905(x100631,x100631),a894)),f317(f317(f279(x100631,x100631,x100631),f317(f241(f906(f905(x100631,x100631),a894),f906(f905(x100631,x100631),a894)),x100632)),f317(f246(f906(f905(x100631,x100631),a894),f906(f905(x100631,x100631),a894)),x100632))),f317(f241(f906(f905(x100631,x100631),a894),f906(f905(x100631,x100631),a894)),x100632))) % 169.26/169.09 [10160]~E(f287(a897,f277(a897),f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x101602,x101601),f178(f906(a897,a894)))+~P1(f317(f317(f277(a897),x101602),x101601))+P1(f317(f317(f277(a897),x101601),x101602)) % 169.26/169.09 [10161]~E(f290(a897,f277(a897),f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x101612,x101611),f178(f906(a897,a894)))+~P1(f317(f317(f277(a897),x101612),x101611))+P1(f317(f317(f277(a897),x101611),x101612)) % 169.26/169.09 [7367]~P1(f317(f317(f225(a897),f2(a897)),x73672))+P1(f317(f317(f225(a897),x73671),x73672))+E(f317(a102,f317(f317(f30(a897),f317(f317(f23(a897),x73671),x73672)),x73672)),f317(f317(f30(a897),x73671),x73672)) % 169.26/169.09 [7508]~P1(f317(f317(f225(a897),f2(a897)),x75082))+~P1(f317(f317(f224(a897),x75082),x75081))+E(f317(a102,f317(f317(f30(a897),f317(f317(f23(a897),x75081),x75082)),x75082)),f317(f317(f30(a897),x75081),x75082)) % 169.26/169.09 [8477]~P95(x84771)+~P94(x84771)+~P30(x84771,f317(f94(x84771),f317(f317(f23(a1),f317(f317(f74(a1),x84772),x84772)),a87))) % 169.26/169.09 [9240]E(x92401,f2(a897))+E(f317(f317(f247(a897,a897,f905(a897,a897)),f317(f317(f8(a897,f906(a897,f905(a897,a897)),a897),f242(a897,a897)),a102)),f79(f905(a897,a897),f43(f317(f317(f23(a897),x92402),x92401),x92401))),f79(f905(a897,a897),f43(x92402,x92401)))+P1(f317(f317(f225(a897),x92402),x92401)) % 169.26/169.09 [9425]~P40(x94251,x94252)+~P54(x94251,x94252)+P1(f317(f317(f224(f906(f905(x94251,x94251),a894)),f317(f317(f279(x94251,x94251,x94251),f317(f276(x94251,x94251),x94252)),x94252)),x94252)) % 169.26/169.09 [9688]P1(f317(x96882,f618(x96882,x96881)))+P1(f317(x96881,f618(x96882,x96881)))+E(f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),f2(a1)))),x96881)),f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),f2(a1)))),x96882))) % 169.26/169.09 [9692]~P1(f317(x96922,f618(x96922,x96921)))+~P1(f317(x96921,f618(x96922,x96921)))+E(f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),f2(a1)))),x96921)),f317(f252(a1),f317(f317(f18(a1,a894,a894),f317(f317(f8(a894,f906(a894,a894),a1),a315),f317(f224(a1),f2(a1)))),x96922))) % 169.26/169.09 [10243]~P1(f317(f317(f277(a897),x102432),x102431))+P1(f317(f317(f277(a897),x102431),x102432))+P1(f317(f317(f319(a897),x102431),f285(a897,f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x102432))) % 169.26/169.09 [10244]~P1(f317(f317(f277(a897),x102442),x102441))+P1(f317(f317(f277(a897),x102441),x102442))+P1(f317(f317(f319(a897),x102442),f288(a897,f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x102441))) % 169.26/169.09 [7719]~P95(x77191)+~P65(x77191)+E(f317(f317(f281(x77191),x77192),f317(f94(x77191),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))),x77192) % 169.26/169.09 [9368]~P95(x93681)+~E(f317(f94(x93681),x93682),f72(x93681))+P30(x93681,f317(f94(x93681),f317(f317(f74(a1),x93682),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 169.26/169.09 [9557]~P143(x95571)+~E(x95572,f72(x95571))+E(f317(f317(f234(x95571),x95572),f317(f94(a897),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(x95571)) % 169.26/169.09 [9558]~P143(x95581)+~E(x95582,f2(x95581))+E(f317(f317(f234(x95581),x95582),f317(f94(a897),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(x95581)) % 169.26/169.09 [9573]~P143(x95731)+~E(x95732,f317(f73(x95731),f72(x95731)))+E(f317(f317(f234(x95731),x95732),f317(f94(a897),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(x95731)) % 169.26/169.09 [9624]~P95(x96241)+E(f317(f94(x96241),x96242),f72(x96241))+~P30(x96241,f317(f94(x96241),f317(f317(f74(a1),x96242),f317(f73(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))))) % 169.26/169.09 [10007]~P111(x100072)+E(x100071,f2(x100072))+P1(f317(f317(f225(x100072),f2(x100072)),f317(f317(f234(x100072),x100071),f317(f94(a897),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)))))) % 169.26/169.09 [10062]~P111(x100622)+~E(x100621,f2(x100622))+~P1(f317(f317(f225(x100622),f2(x100622)),f317(f317(f234(x100622),x100621),f317(f94(a897),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)))))) % 169.26/169.09 [10098]P1(f317(f317(f224(a1),x100981),f2(a1)))+P1(f317(f317(f225(a1),x100982),x100981))+E(f317(f38(x100981),f42(x100982,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)))),x100981))),f42(x100982,x100981)) % 169.26/169.09 [10099]~P1(f317(f317(f225(a1),f2(a1)),x100991))+P1(f317(f317(f225(a1),x100992),x100991))+E(f317(f38(x100991),f42(x100992,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)))),x100991))),f42(x100992,x100991)) % 169.26/169.09 [10100]P1(f317(f317(f224(a1),x101001),f2(a1)))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x101002),x101001)))+E(f317(f38(x101001),f45(x101002,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)))),x101001))),f45(x101002,x101001)) % 169.26/169.09 [10101]~P1(f317(f317(f225(a1),f2(a1)),x101011))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),x101012),x101011)))+E(f317(f38(x101011),f45(x101012,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)))),x101011))),f45(x101012,x101011)) % 169.26/169.09 [10102]~P144(x101021)+~P1(f317(f317(f224(a1),f2(a1)),x101022))+E(f317(f90(x101021),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)))),x101022))),f317(f317(f74(x101021),f317(f90(x101021),f317(a95,x101022))),f317(f90(x101021),f317(a95,x101022)))) % 169.26/169.09 [5117]~P147(x51171,x51173,x51172)+~E(x51173,f2(a1))+P1(f317(x51171,x51172)) % 169.26/169.09 [5241]~P4(x52411)+~P16(x52411,x52413)+P16(x52411,f160(x52411,x52412,x52413)) % 169.26/169.09 [5242]~P4(x52421)+~P16(x52421,x52423)+P16(x52421,f167(x52421,x52422,x52423)) % 169.26/169.09 [4805]~P78(x48052)+~E(x48053,f317(f73(x48052),x48051))+E(x48051,f317(f73(x48052),x48053)) % 169.26/169.09 [4807]~P78(x48071)+~E(f317(f73(x48071),x48073),x48072)+E(f317(f73(x48071),x48072),x48073) % 169.26/169.09 [4886]~P97(x48863)+E(x48861,x48862)+~E(f317(f90(x48863),x48861),f317(f90(x48863),x48862)) % 169.26/169.09 [4887]~P78(x48873)+E(x48871,x48872)+~E(f317(f73(x48873),x48871),f317(f73(x48873),x48872)) % 169.26/169.09 [4888]~P98(x48883)+E(x48881,x48882)+~E(f317(f73(x48883),x48881),f317(f73(x48883),x48882)) % 169.26/169.09 [4889]~P94(x48893)+E(x48891,x48892)+~E(f317(f93(x48893),x48891),f317(f93(x48893),x48892)) % 169.26/169.09 [4890]~P4(x48903)+E(x48901,x48902)+~E(f317(f291(x48903),x48901),f317(f291(x48903),x48902)) % 169.26/169.09 [4891]~P4(x48913)+E(x48911,x48912)+~E(f317(f272(x48913),x48911),f317(f272(x48913),x48912)) % 169.26/169.09 [4892]~P4(x48923)+E(x48921,x48922)+~E(f317(f273(x48923),x48921),f317(f273(x48923),x48922)) % 169.26/169.09 [4893]~P4(x48933)+E(x48931,x48932)+~E(f317(f294(x48933),x48931),f317(f294(x48933),x48932)) % 169.26/169.09 [4995]~P63(x49951)+~P1(f317(x49952,x49953))+P1(f317(f51(x49951),x49952)) % 169.26/169.09 [5035]~P63(x50353)+P1(f317(x50351,x50352))+~P1(f317(f52(x50353),x50351)) % 169.26/169.09 [5137]~P148(x51371,x51372,x51373)+~E(x51372,f2(a1))+P1(f317(x51371,f2(a1))) % 169.26/169.09 [5177]~E(x51771,f2(a897))+E(f534(x51771,x51772,x51773),f178(f906(x51773,a894)))+~E(f317(f29(x51773),x51772),f317(a102,x51771)) % 169.26/169.09 [5325]~E(x53252,f2(a897))+E(f317(f241(a897,a897),x53251),f2(a897))+~P1(f317(f43(x53253,x53252),x53251)) % 169.26/169.09 [5364]P1(f317(x53641,x53642))+~E(x53643,f317(f90(a1),x53642))+~P1(f317(x53641,f317(a95,x53643))) % 169.26/169.09 [5847]~E(x58473,f2(a897))+~P1(f317(x58471,x58472))+P1(f317(x58471,f40(a897,x58472,x58473))) % 169.26/169.09 [6092]~P107(x60922)+~P107(x60921)+E(f121(x60921,x60922,f122(x60921,x60923),f122(x60922,x60923)),f122(f905(x60921,x60922),x60923)) % 169.26/169.09 [6279]~E(x62793,f2(a897))+P1(f317(x62791,x62792))+~P1(f317(x62791,f40(a897,x62792,x62793))) % 169.26/169.09 [6980]E(x69801,f2(a897))+~P1(f317(x69802,f859(x69801,x69803,x69802)))+P1(f317(x69802,f40(a897,x69803,x69801))) % 169.26/169.09 [7094]~P8(x70941)+~P1(f317(f317(f224(x70941),x70942),f592(x70943,x70942,x70941)))+P1(f317(f317(f224(x70941),x70942),f32(x70941,x70943))) % 169.26/169.09 [7096]~P1(f317(x70961,x70962))+~P1(f317(x70961,f859(x70963,x70962,x70961)))+P1(f317(x70961,f40(a897,x70962,x70963))) % 169.26/169.09 [7198]E(x71981,f103(x71982))+E(f317(f317(f141(x71982),f668(x71983,x71981,x71982)),f672(x71983,x71981,x71982)),x71981)+~P1(f317(f317(f319(f898(x71982)),x71981),f151(x71982,x71983))) % 169.26/169.09 [7230]~P128(x72301)+~P1(f317(f317(f319(x72301),x72302),f100(x72301)))+P1(f317(f317(f319(x72301),f317(f317(f234(x72301),x72302),x72303)),f100(x72301))) % 169.26/169.09 [7553]P39(x75531,x75532)+~P1(f317(f317(f319(x75531),x75533),f611(x75532,x75531)))+P1(f317(f317(f319(x75531),f617(x75532,x75531,x75533)),f611(x75532,x75531))) % 169.26/169.09 [7824]E(x78241,f103(x78242))+~P1(f317(f317(f319(f898(x78242)),x78241),f151(x78242,x78243)))+P1(f317(f317(f319(f898(x78242)),f672(x78243,x78241,x78242)),f151(x78242,x78243))) % 169.26/169.09 [7876]E(x78761,f2(a897))+E(f317(f317(f74(a897),f317(f317(f75(a897),x78761),f860(x78761,x78762,x78763))),f859(x78761,x78762,x78763)),x78762)+P1(f317(x78763,f40(a897,x78762,x78761))) % 169.26/169.09 [7919]~P1(f317(x79193,x79192))+E(f317(f317(f74(a897),f317(f317(f75(a897),x79191),f860(x79191,x79192,x79193))),f859(x79191,x79192,x79193)),x79192)+P1(f317(x79193,f40(a897,x79192,x79191))) % 169.26/169.09 [8059]P1(f317(f317(f225(a1),x80591),f861(x80592,x80593,x80591)))+P1(f317(f317(x80593,f317(f317(f30(a1),x80592),x80591)),f40(a1,x80592,x80591)))+~P1(f317(f317(f225(a1),x80591),f2(a1))) % 169.26/169.09 [8327]P1(f317(f317(x83272,f317(f317(f30(a1),x83271),x83273)),f40(a1,x83271,x83273)))+~P1(f317(f317(f225(a1),x83273),f2(a1)))+P1(f317(f317(f224(a1),f861(x83271,x83272,x83273)),f2(a1))) % 169.26/169.09 [8511]E(f317(f317(f74(a1),f317(f317(f75(a1),x85111),f864(x85112,x85113,x85111))),f861(x85112,x85113,x85111)),x85112)+P1(f317(f317(x85113,f317(f317(f30(a1),x85112),x85111)),f40(a1,x85112,x85111)))+~P1(f317(f317(f225(a1),x85111),f2(a1))) % 169.26/169.09 [8749]~P1(f317(f317(x87491,f864(x87492,x87491,x87493)),f861(x87492,x87491,x87493)))+P1(f317(f317(x87491,f317(f317(f30(a1),x87492),x87493)),f40(a1,x87492,x87493)))+~P1(f317(f317(f225(a1),x87493),f2(a1))) % 169.26/169.09 [8999]~P4(x89991)+~P16(x89991,x89993)+P16(x89991,f139(x89991,x89991,f5(x89991),x89992,x89993)) % 169.26/169.09 [9502]~P125(x95022)+E(x95021,f2(x95022))+~P1(f317(f317(f224(x95022),f317(f317(f74(x95022),f317(f317(f75(x95022),x95023),x95023)),f317(f317(f75(x95022),x95021),x95021))),f2(x95022))) % 169.26/169.09 [9503]~P125(x95032)+E(x95031,f2(x95032))+~P1(f317(f317(f224(x95032),f317(f317(f74(x95032),f317(f317(f75(x95032),x95031),x95031)),f317(f317(f75(x95032),x95033),x95033))),f2(x95032))) % 169.26/169.09 [10317]~P111(x103171)+~P1(f317(f317(f225(x103171),x103172),f2(x103171)))+P1(f317(f317(f225(x103171),f317(f317(f234(x103171),x103172),f317(a102,f317(f317(f75(a897),f317(f94(a897),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)))),x103173)))),f2(x103171))) % 169.26/169.09 [10326]~P111(x103262)+E(x103261,f2(x103262))+~P1(f317(f317(f224(x103262),f317(f317(f74(x103262),f317(f317(f234(x103262),x103263),f317(f94(a897),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(x103262),x103261),f317(f94(a897),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(x103262))) % 169.26/169.09 [10327]~P111(x103272)+E(x103271,f2(x103272))+~P1(f317(f317(f224(x103272),f317(f317(f74(x103272),f317(f317(f234(x103272),x103271),f317(f94(a897),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(x103272),x103273),f317(f94(a897),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(x103272))) % 169.26/169.09 [4841]~E(x48412,x48413)+~P70(x48411)+E(f317(f317(f23(x48411),x48412),x48413),f2(x48411)) % 169.26/169.09 [4842]~E(x48422,x48423)+~P78(x48421)+E(f317(f317(f23(x48421),x48422),x48423),f2(x48421)) % 169.26/169.09 [4855]~P146(x48551)+~E(x48553,f2(x48551))+E(f317(f317(f74(x48551),x48552),x48553),x48552) % 169.26/169.09 [4873]~P142(x48731)+~E(x48733,f2(x48731))+E(f317(f317(f75(x48731),x48732),x48733),f2(x48731)) % 169.26/169.09 [4874]~P142(x48741)+~E(x48742,f2(x48741))+E(f317(f317(f75(x48741),x48742),x48743),f2(x48741)) % 169.26/169.09 [4895]~E(x48953,f103(x48951))+~E(x48952,f103(x48951))+E(f317(f317(f124(x48951),x48952),x48953),f103(x48951)) % 169.26/169.09 [4985]~P146(x49852)+E(x49851,f2(x49852))+~E(f317(f317(f74(x49852),x49853),x49851),x49853) % 169.26/169.09 [4986]~P78(x49861)+~E(x49862,f317(f73(x49861),x49863))+E(f317(f317(f74(x49861),x49862),x49863),f2(x49861)) % 169.26/169.09 [4993]E(x49931,f103(x49932))+E(x49933,f2(a897))+~E(f317(f317(f165(x49932),x49933),x49931),f103(x49932)) % 169.26/169.09 [5003]~P70(x50033)+E(x50031,x50032)+~E(f317(f317(f23(x50033),x50031),x50032),f2(x50033)) % 169.26/169.09 [5004]~P78(x50043)+E(x50041,x50042)+~E(f317(f317(f23(x50043),x50041),x50042),f2(x50043)) % 169.26/169.09 [5017]~P143(x50172)+E(x50171,f2(x50172))+~E(f317(f317(f234(x50172),x50171),x50173),f2(x50172)) % 169.26/169.09 [5018]~P102(x50182)+E(x50181,f178(x50182))+~E(f317(f317(f91(x50182),x50183),x50181),f178(x50182)) % 169.26/169.09 [5019]~P102(x50192)+E(x50191,f178(x50192))+~E(f317(f317(f91(x50192),x50191),x50193),f178(x50192)) % 169.26/169.09 [5020]~P105(x50202)+E(x50201,f232(x50202))+~E(f317(f317(f92(x50202),x50203),x50201),f232(x50202)) % 169.26/169.09 [5021]~P105(x50212)+E(x50211,f232(x50212))+~E(f317(f317(f92(x50212),x50211),x50213),f232(x50212)) % 169.26/169.09 [5091]~P78(x50912)+E(x50911,f317(f73(x50912),x50913))+~E(f317(f317(f74(x50912),x50911),x50913),f2(x50912)) % 169.26/169.09 [5092]~P78(x50921)+E(f317(f73(x50921),x50922),x50923)+~E(f317(f317(f74(x50921),x50922),x50923),f2(x50921)) % 169.26/169.09 [5094]~E(x50942,x50943)+~P2(x50941)+P1(f317(f317(f224(x50941),x50942),x50943)) % 169.26/169.09 [5096]~E(x50962,x50963)+~P109(x50961)+P1(f317(f317(f224(x50961),x50962),x50963)) % 169.26/169.09 [5194]~P120(x51941)+~E(x51942,f317(f73(x51941),x51943))+E(f317(f317(f75(x51941),x51942),x51942),f317(f317(f75(x51941),x51943),x51943)) % 169.26/169.09 [5202]~P4(x52021)+~P16(x52021,x52023)+P16(x52021,f317(f317(f165(x52021),x52022),x52023)) % 169.26/169.09 [5203]~P4(x52031)+~P16(x52031,x52033)+P16(x52031,f317(f317(f128(x52031),x52032),x52033)) % 169.26/169.09 [5239]E(x52391,x52392)+E(x52393,f2(a897))+~E(f317(f317(f75(a897),x52393),x52391),f317(f317(f75(a897),x52393),x52392)) % 169.26/169.09 [5240]E(x52401,x52402)+E(x52403,f2(a897))+~E(f317(f317(f75(a897),x52401),x52403),f317(f317(f75(a897),x52402),x52403)) % 169.26/169.09 [5318]~E(x53182,x53183)+~P109(x53181)+E(f293(x53181,x53182,x53183),f317(f317(f299(x53181),x53182),f178(f906(x53181,a894)))) % 169.26/169.09 [5353]~P111(x53531)+~E(f317(f70(x53531),x53532),f317(f70(x53531),x53533))+P1(f317(f317(f277(x53531),x53532),x53533)) % 169.26/169.09 [5361]~E(x53611,x53612)+~P4(x53613)+~P1(f317(f317(f225(x53613),x53611),x53612)) % 169.26/169.09 [5362]~E(x53621,x53622)+~P109(x53623)+~P1(f317(f317(f225(x53623),x53621),x53622)) % 169.26/169.09 [5375]~P109(x53751)+E(f317(f292(x53751,x53752),x53753),f178(f906(x53751,a894)))+P1(f317(f317(f225(x53751),x53752),x53753)) % 169.26/169.09 [5424]~P109(x54241)+E(f295(x54241,x54242,x54243),f178(f906(x54241,a894)))+P1(f317(f317(f225(x54241),x54242),x54243)) % 169.26/169.09 [5425]~P109(x54251)+E(f293(x54251,x54252,x54253),f178(f906(x54251,a894)))+P1(f317(f317(f224(x54251),x54252),x54253)) % 169.26/169.09 [5426]~P109(x54261)+E(f178(f906(x54261,a894)),f295(x54261,x54262,x54263))+P1(f317(f317(f225(x54261),x54262),x54263)) % 169.26/169.09 [5427]~P109(x54271)+E(f178(f906(x54271,a894)),f293(x54271,x54272,x54273))+P1(f317(f317(f224(x54271),x54272),x54273)) % 169.26/169.09 [5435]~P4(x54351)+~E(f317(f317(f228(x54351),x54352),x54353),x54352)+P1(f317(f317(f224(x54351),x54352),x54353)) % 169.26/169.09 [5436]~P4(x54361)+~E(f317(f317(f223(x54361),x54362),x54363),x54363)+P1(f317(f317(f224(x54361),x54362),x54363)) % 169.26/169.09 [5437]~P100(x54371)+~E(f317(f317(f91(x54371),x54372),x54373),x54373)+P1(f317(f317(f224(x54371),x54372),x54373)) % 169.26/169.09 [5438]~P106(x54381)+~E(f317(f317(f92(x54381),x54382),x54383),x54382)+P1(f317(f317(f224(x54381),x54382),x54383)) % 169.26/169.09 [5457]~P4(x54571)+P16(x54571,x54572)+~P16(x54571,f317(f317(f141(x54571),x54573),x54572)) % 169.26/169.09 [5458]~P4(x54581)+P16(x54581,x54582)+~P16(x54581,f317(f317(f124(x54581),x54583),x54582)) % 169.26/169.09 [5459]~P4(x54591)+P16(x54591,x54592)+~P16(x54591,f317(f317(f124(x54591),x54592),x54593)) % 169.26/169.09 [5464]~P6(x54641)+~E(f40(x54641,x54643,x54642),f2(x54641))+P1(f317(f317(f277(x54641),x54642),x54643)) % 169.26/169.09 [5526]~P4(x55261)+P1(f317(f317(f224(x55261),x55263),x55262))+P1(f317(f317(f224(x55261),x55262),x55263)) % 169.26/169.09 [5531]~P4(x55311)+P1(f317(f317(f225(x55311),x55313),x55312))+P1(f317(f317(f224(x55311),x55312),x55313)) % 169.26/169.09 [5568]~P4(x55681)+E(f317(f317(f228(x55681),x55682),x55683),x55683)+~P1(f317(f317(f224(x55681),x55683),x55682)) % 169.26/169.09 [5570]~P4(x55701)+E(f317(f317(f228(x55701),x55702),x55703),x55702)+~P1(f317(f317(f224(x55701),x55702),x55703)) % 169.26/169.09 [5571]~P4(x55711)+E(f317(f317(f223(x55711),x55712),x55713),x55712)+~P1(f317(f317(f224(x55711),x55713),x55712)) % 169.26/169.09 [5573]~P4(x55731)+E(f317(f317(f223(x55731),x55732),x55733),x55733)+~P1(f317(f317(f224(x55731),x55732),x55733)) % 169.26/169.09 [5574]~P100(x55741)+E(f317(f317(f91(x55741),x55742),x55743),x55742)+~P1(f317(f317(f224(x55741),x55743),x55742)) % 169.26/169.09 [5576]~P100(x55761)+E(f317(f317(f91(x55761),x55762),x55763),x55763)+~P1(f317(f317(f224(x55761),x55762),x55763)) % 169.26/169.09 [5577]~P106(x55771)+E(f317(f317(f92(x55771),x55772),x55773),x55773)+~P1(f317(f317(f224(x55771),x55773),x55772)) % 169.26/169.09 [5579]~P106(x55791)+E(f317(f317(f92(x55791),x55792),x55793),x55792)+~P1(f317(f317(f224(x55791),x55792),x55793)) % 169.26/169.09 [5586]~P122(x55862)+E(x55861,f2(x55862))+E(f317(f317(f281(x55862),f317(f73(x55862),x55863)),f317(f73(x55862),x55861)),f317(f317(f281(x55862),x55863),x55861)) % 169.26/169.09 [5593]~P6(x55931)+E(f40(x55931,x55932,x55933),f2(x55931))+~P1(f317(f317(f277(x55931),x55933),x55932)) % 169.26/169.09 [5639]~P109(x56391)+E(f317(f292(x56391,x56392),x56393),f178(f906(x56391,a894)))+~P1(f317(f317(f224(x56391),x56393),x56392)) % 169.26/169.09 [5672]~P109(x56721)+E(f296(x56721,x56722,x56723),f178(f906(x56721,a894)))+~P1(f317(f317(f224(x56721),x56723),x56722)) % 169.26/169.09 [5673]~P109(x56731)+E(f295(x56731,x56732,x56733),f178(f906(x56731,a894)))+~P1(f317(f317(f224(x56731),x56733),x56732)) % 169.26/169.09 [5674]~P109(x56741)+E(f293(x56741,x56742,x56743),f178(f906(x56741,a894)))+~P1(f317(f317(f225(x56741),x56743),x56742)) % 169.26/169.09 [5726]~E(f317(f317(f23(a897),x57261),x57263),x57262)+E(x57261,f317(f317(f74(a897),x57262),x57263))+~P1(f317(f317(f224(a897),x57263),x57261)) % 169.26/169.09 [5727]~E(x57271,f317(f317(f74(a897),x57273),x57272))+E(f317(f317(f23(a897),x57271),x57272),x57273)+~P1(f317(f317(f224(a897),x57272),x57271)) % 169.26/169.09 [5772]~P1(f317(x57721,x57723))+P1(f317(x57721,f351(x57721,x57722)))+~P1(f317(f317(f224(a897),x57723),x57722)) % 169.26/169.09 [5773]~P1(f317(x57731,x57733))+P1(f317(x57731,f382(x57731,x57732)))+~P1(f317(f317(f225(a897),x57733),x57732)) % 169.26/169.09 [5781]~P109(x57811)+~E(f317(f292(x57811,x57812),x57813),f178(f906(x57811,a894)))+~P1(f317(f317(f225(x57811),x57812),x57813)) % 169.26/169.09 [5786]~P2(x57861)+~P1(f317(f317(f225(x57861),x57862),x57863))+P1(f317(f317(f224(x57861),x57862),x57863)) % 169.26/169.09 [5788]~P109(x57881)+~P1(f317(f317(f225(x57881),x57882),x57883))+P1(f317(f317(f224(x57881),x57882),x57883)) % 169.26/169.09 [5906]~P109(x59061)+~E(f295(x59061,x59062,x59063),f178(f906(x59061,a894)))+~P1(f317(f317(f225(x59061),x59062),x59063)) % 169.26/169.09 [5907]~P109(x59071)+~E(f293(x59071,x59072,x59073),f178(f906(x59071,a894)))+~P1(f317(f317(f224(x59071),x59072),x59073)) % 169.26/169.09 [5908]~P109(x59081)+~E(f178(f906(x59081,a894)),f295(x59081,x59082,x59083))+~P1(f317(f317(f225(x59081),x59082),x59083)) % 169.26/169.09 [5909]~P109(x59091)+~E(f178(f906(x59091,a894)),f293(x59091,x59092,x59093))+~P1(f317(f317(f224(x59091),x59092),x59093)) % 169.26/169.09 [5919]P1(f317(x59191,x59192))+~P1(f317(x59191,f353(x59191,x59193)))+~P1(f317(f317(f224(a897),x59192),x59193)) % 169.26/169.09 [5920]P1(f317(x59201,x59202))+~P1(f317(x59201,f394(x59201,x59203)))+~P1(f317(f317(f225(a897),x59202),x59203)) % 169.26/169.09 [5928]~E(x59281,f317(a102,x59283))+P1(f317(f317(f225(a897),x59281),f317(a102,x59282)))+~P1(f317(f317(f225(a897),x59283),x59282)) % 169.26/169.09 [5947]E(x59471,x59472)+~E(f317(f317(f75(a897),x59473),x59471),f317(f317(f75(a897),x59473),x59472))+~P1(f317(f317(f225(a897),f2(a897)),x59473)) % 169.26/169.09 [6008]E(f317(x60081,f399(x60081,x60082,x60083)),f72(a897))+~E(f317(f317(f6(x60083,a897),x60081),x60082),f72(a897))+~P1(f317(f28(x60083),x60082)) % 169.26/169.09 [6025]~P8(x60251)+P1(f317(f317(f224(x60251),x60252),f31(x60251,x60253)))+~P1(f317(f317(f319(x60251),x60252),x60253)) % 169.26/169.09 [6048]~P2(x60481)+~P1(f317(f317(f225(x60481),x60483),x60482))+~P1(f317(f317(f224(x60481),x60482),x60483)) % 169.26/169.09 [6052]~P2(x60521)+~P1(f317(f317(f225(x60521),x60523),x60522))+~P1(f317(f317(f225(x60521),x60522),x60523)) % 169.26/169.09 [6055]~P4(x60551)+~P1(f317(f317(f225(x60551),x60553),x60552))+~P1(f317(f317(f224(x60551),x60552),x60553)) % 169.26/169.09 [6056]~P4(x60561)+~P1(f317(f317(f225(x60561),x60563),x60562))+~P1(f317(f317(f225(x60561),x60562),x60563)) % 169.26/169.09 [6057]~P109(x60571)+~P1(f317(f317(f225(x60571),x60573),x60572))+~P1(f317(f317(f225(x60571),x60572),x60573)) % 169.26/169.09 [6077]~E(x60772,x60773)+~E(x60771,x60772)+E(f280(a897,f277(a897),x60771,x60772),f317(f317(f299(a897),x60773),f178(f906(a897,a894)))) % 169.26/169.09 [6084]~E(f317(x60842,f871(x60842,x60843,x60841)),f72(a897))+E(f317(f317(f9(x60841,a897),x60842),x60843),f72(a897))+~P1(f317(f28(x60841),x60843)) % 169.26/169.09 [6085]~E(f317(x60852,f400(x60852,x60853,x60851)),f2(a897))+E(f317(f317(f6(x60851,a897),x60852),x60853),f2(a897))+~P1(f317(f28(x60851),x60853)) % 169.26/169.09 [6101]~P3(x61011)+~P1(f317(f317(f224(x61011),x61013),x61012))+P1(f317(f317(f319(x61011),x61012),f317(f273(x61011),x61013))) % 169.26/169.09 [6102]~P3(x61021)+~P1(f317(f317(f225(x61021),x61023),x61022))+P1(f317(f317(f319(x61021),x61022),f317(f294(x61021),x61023))) % 169.26/169.09 [6103]~P3(x61031)+~P1(f317(f317(f224(x61031),x61032),x61033))+P1(f317(f317(f319(x61031),x61032),f317(f291(x61031),x61033))) % 169.26/169.09 [6104]~P3(x61041)+~P1(f317(f317(f225(x61041),x61042),x61043))+P1(f317(f317(f319(x61041),x61042),f317(f272(x61041),x61043))) % 169.26/169.09 [6105]~P114(x61051)+~P1(f317(f317(f277(x61051),x61052),x61053))+P1(f317(f317(f277(x61051),x61052),f317(f73(x61051),x61053))) % 169.26/169.09 [6106]~P111(x61061)+~P1(f317(f317(f277(x61061),x61062),x61063))+P1(f317(f317(f277(x61061),x61062),f317(f70(x61061),x61063))) % 169.26/169.09 [6118]E(f317(x61181,f410(x61181,x61182,x61183)),f317(a102,f2(a897)))+~E(f317(f317(f6(x61183,a897),x61181),x61182),f317(a102,f2(a897)))+~P1(f317(f28(x61183),x61182)) % 169.26/169.09 [6201]~P8(x62011)+~P1(f317(f317(f319(x62011),x62013),x62012))+P1(f317(f317(f224(x62011),f32(x62011,x62012)),x62013)) % 169.26/169.09 [6222]~P1(f317(f317(f224(a897),x62221),x62223))+P1(f317(f317(f224(a897),x62221),x62222))+~P1(f317(f317(f224(a897),x62223),x62222)) % 169.26/169.09 [6223]~P1(f317(f317(f224(a1),x62231),x62233))+P1(f317(f317(f224(a1),x62231),x62232))+~P1(f317(f317(f224(a1),x62233),x62232)) % 169.26/169.09 [6224]~P1(f317(f317(f277(a897),x62241),x62243))+P1(f317(f317(f277(a897),x62241),x62242))+~P1(f317(f317(f277(a897),x62243),x62242)) % 169.26/169.09 [6244]~P3(x62441)+~P1(f317(f317(f319(x62441),x62443),f317(f273(x62441),x62442)))+P1(f317(f317(f224(x62441),x62442),x62443)) % 169.26/169.09 [6245]~P3(x62451)+~P1(f317(f317(f319(x62451),x62452),f317(f291(x62451),x62453)))+P1(f317(f317(f224(x62451),x62452),x62453)) % 169.26/169.09 [6246]~P3(x62461)+~P1(f317(f317(f319(x62461),x62463),f317(f294(x62461),x62462)))+P1(f317(f317(f225(x62461),x62462),x62463)) % 169.26/169.09 [6247]~P3(x62471)+~P1(f317(f317(f319(x62471),x62472),f317(f272(x62471),x62473)))+P1(f317(f317(f225(x62471),x62472),x62473)) % 169.26/169.09 [6248]~P111(x62481)+~P1(f317(f317(f277(x62481),x62482),f317(f70(x62481),x62483)))+P1(f317(f317(f277(x62481),x62482),x62483)) % 169.26/169.09 [6249]~P114(x62491)+~P1(f317(f317(f277(x62491),x62492),f317(f73(x62491),x62493)))+P1(f317(f317(f277(x62491),x62492),x62493)) % 169.26/169.09 [6324]~P1(f317(x63241,x63242))+P1(f317(x63241,f767(x63241)))+~P1(f317(f317(f319(x63243),x63242),f232(f906(x63243,a894)))) % 169.26/169.09 [6472]~P66(x64721)+P1(f317(f317(f225(x64721),f2(x64721)),f423(x64723,x64722,x64721)))+P1(f317(f317(f224(x64721),x64722),x64723)) % 169.26/169.09 [6473]~P67(x64731)+P1(f317(f317(f225(x64731),f2(x64731)),f748(x64733,x64732,x64731)))+P1(f317(f317(f224(x64731),x64732),x64733)) % 169.26/169.09 [6542]~P81(x65421)+~P1(f317(f317(f224(x65421),x65423),f317(f73(x65421),x65422)))+P1(f317(f317(f224(x65421),x65422),f317(f73(x65421),x65423))) % 169.26/169.09 [6544]~P81(x65441)+~P1(f317(f317(f225(x65441),x65443),f317(f73(x65441),x65442)))+P1(f317(f317(f225(x65441),x65442),f317(f73(x65441),x65443))) % 169.26/169.09 [6556]~P1(f317(f317(f225(a897),x65561),x65563))+~P1(f317(f317(f225(a897),x65563),x65562))+P1(f317(f317(f225(a897),f317(a102,x65561)),x65562)) % 169.26/169.09 [6587]~P110(x65871)+P1(f317(f317(f224(x65871),f317(f90(x65871),x65872)),f317(f90(x65871),x65873)))+~P1(f317(f317(f224(a897),x65872),x65873)) % 169.26/169.09 [6588]~P111(x65881)+P1(f317(f317(f224(x65881),f317(f93(x65881),x65882)),f317(f93(x65881),x65883)))+~P1(f317(f317(f224(a1),x65882),x65883)) % 169.26/169.09 [6590]~P111(x65901)+P1(f317(f317(f225(x65901),f317(f93(x65901),x65902)),f317(f93(x65901),x65903)))+~P1(f317(f317(f225(a1),x65902),x65903)) % 169.26/169.09 [6591]~P110(x65911)+P1(f317(f317(f225(x65911),f317(f90(x65911),x65912)),f317(f90(x65911),x65913)))+~P1(f317(f317(f225(a897),x65912),x65913)) % 169.26/169.09 [6597]~P4(x65971)+E(f317(f317(f91(f906(x65971,a894)),f317(f272(x65971),x65972)),f317(f292(x65971,x65972),x65973)),f317(f272(x65971),x65973))+~P1(f317(f317(f224(x65971),x65972),x65973)) % 169.26/169.09 [6627]~P81(x66271)+~P1(f317(f317(f224(x66271),x66273),x66272))+P1(f317(f317(f224(x66271),f317(f73(x66271),x66272)),f317(f73(x66271),x66273))) % 169.26/169.09 [6629]~P98(x66291)+~P1(f317(f317(f224(x66291),x66293),x66292))+P1(f317(f317(f224(x66291),f317(f73(x66291),x66292)),f317(f73(x66291),x66293))) % 169.26/169.09 [6630]~P81(x66301)+~P1(f317(f317(f225(x66301),x66303),x66302))+P1(f317(f317(f225(x66301),f317(f73(x66301),x66302)),f317(f73(x66301),x66303))) % 169.26/169.09 [6666]~P4(x66661)+E(f317(f317(f91(f906(x66661,a894)),f317(f291(x66661),x66662)),f296(x66661,x66662,x66663)),f317(f272(x66661),x66663))+~P1(f317(f317(f225(x66661),x66662),x66663)) % 169.26/169.09 [6667]~P4(x66671)+E(f317(f317(f91(f906(x66671,a894)),f317(f291(x66671),x66672)),f295(x66671,x66672,x66673)),f317(f291(x66671),x66673))+~P1(f317(f317(f224(x66671),x66672),x66673)) % 169.26/169.09 [6668]~P4(x66681)+E(f317(f317(f91(f906(x66681,a894)),f317(f272(x66681),x66682)),f293(x66681,x66682,x66683)),f317(f291(x66681),x66683))+~P1(f317(f317(f224(x66681),x66682),x66683)) % 169.26/169.09 [6702]~P4(x67021)+E(f317(f317(f91(f906(x67021,a894)),f317(f292(x67021,x67022),x67023)),f317(f273(x67021),x67023)),f317(f273(x67021),x67022))+~P1(f317(f317(f224(x67021),x67022),x67023)) % 169.26/169.09 [6863]~P4(x68631)+E(f317(f317(f91(f906(x68631,a894)),f296(x68631,x68632,x68633)),f317(f273(x68631),x68633)),f317(f294(x68631),x68632))+~P1(f317(f317(f225(x68631),x68632),x68633)) % 169.26/169.09 [6864]~P4(x68641)+E(f317(f317(f91(f906(x68641,a894)),f295(x68641,x68642,x68643)),f317(f294(x68641),x68643)),f317(f294(x68641),x68642))+~P1(f317(f317(f224(x68641),x68642),x68643)) % 169.26/169.09 [6865]~P4(x68651)+E(f317(f317(f91(f906(x68651,a894)),f293(x68651,x68652,x68653)),f317(f294(x68651),x68653)),f317(f273(x68651),x68652))+~P1(f317(f317(f224(x68651),x68652),x68653)) % 169.26/169.09 [6884]P1(f317(x68841,x68842))+~P1(f317(f317(f224(a897),x68842),x68843))+P1(f317(f317(f319(a897),f353(x68841,x68843)),f293(a897,f2(a897),x68843))) % 169.26/169.09 [6918]E(x69181,x69182)+~E(f317(f317(f154(x69183),x69181),f615(x69183,x69182,x69181)),f317(f317(f154(x69183),x69182),f615(x69183,x69182,x69181)))+~E(f317(f179(f898(x69183)),x69181),f317(f179(f898(x69183)),x69182)) % 169.26/169.09 [6923]~E(x69233,f317(f317(f30(a897),x69231),x69232))+~P1(f317(f317(f225(a897),f2(a897)),x69232))+P1(f317(f317(f225(a897),x69231),f317(f317(f75(a897),x69232),f317(a102,x69233)))) % 169.26/169.09 [6939]~P1(f317(x69391,x69393))+~P1(f317(f317(f224(a897),x69393),x69392))+P1(f317(f317(f319(a897),f351(x69391,x69392)),f293(a897,f2(a897),x69392))) % 169.26/169.09 [6978]~P1(f317(x69781,x69783))+P1(f317(x69781,f354(x69781,x69782)))+~P1(f317(f317(f319(a897),x69783),f293(a897,f2(a897),x69782))) % 169.26/169.09 [6999]~P110(x69993)+~P1(f317(f317(f224(x69993),f317(f90(x69993),x69991)),f317(f90(x69993),x69992)))+P1(f317(f317(f224(a897),x69991),x69992)) % 169.26/169.09 [7000]~P111(x70003)+~P1(f317(f317(f224(x70003),f317(f93(x70003),x70001)),f317(f93(x70003),x70002)))+P1(f317(f317(f224(a1),x70001),x70002)) % 169.26/169.09 [7002]~P110(x70023)+~P1(f317(f317(f225(x70023),f317(f90(x70023),x70021)),f317(f90(x70023),x70022)))+P1(f317(f317(f225(a897),x70021),x70022)) % 169.26/169.09 [7003]~P111(x70033)+~P1(f317(f317(f225(x70033),f317(f93(x70033),x70031)),f317(f93(x70033),x70032)))+P1(f317(f317(f225(a1),x70031),x70032)) % 169.26/169.09 [7020]~P110(x70201)+~P1(f317(f317(f225(x70201),f72(x70201)),x70202))+P1(f317(f317(f225(x70201),f72(x70201)),f317(f317(f234(x70201),x70202),f317(a102,x70203)))) % 169.26/169.09 [7023]~P81(x70231)+~P1(f317(f317(f224(x70231),f317(f73(x70231),x70233)),f317(f73(x70231),x70232)))+P1(f317(f317(f224(x70231),x70232),x70233)) % 169.26/169.09 [7024]~P98(x70241)+~P1(f317(f317(f224(x70241),f317(f73(x70241),x70243)),f317(f73(x70241),x70242)))+P1(f317(f317(f224(x70241),x70242),x70243)) % 169.26/169.09 [7025]~P81(x70251)+~P1(f317(f317(f225(x70251),f317(f73(x70251),x70253)),f317(f73(x70251),x70252)))+P1(f317(f317(f225(x70251),x70252),x70253)) % 169.26/169.09 [7049]P1(f317(x70491,x70492))+~P1(f317(x70491,f355(x70491,x70493)))+~P1(f317(f317(f319(a897),x70492),f293(a897,f2(a897),x70493))) % 169.26/169.09 [7071]~P66(x70711)+P1(f317(f317(f225(x70711),f423(x70713,x70712,x70711)),f72(x70711)))+P1(f317(f317(f224(x70711),x70712),x70713)) % 169.26/169.09 [7091]~E(f40(a897,x70913,x70912),f40(a897,x70911,x70912))+E(f317(f317(f74(a897),x70911),f317(f317(f75(a897),x70912),f533(x70911,x70912,x70913))),x70913)+~P1(f317(f317(f224(a897),x70911),x70913)) % 169.26/169.09 [7146]E(f317(f317(f9(x71461,a897),x71462),x71463),f72(a897))+~P1(f317(f28(x71461),x71463))+P1(f317(f317(f319(x71461),f871(x71462,x71463,x71461)),x71463)) % 169.26/169.09 [7147]E(f317(f317(f6(x71471,a897),x71472),x71473),f2(a897))+~P1(f317(f28(x71471),x71473))+P1(f317(f317(f319(x71471),f400(x71472,x71473,x71471)),x71473)) % 169.26/169.09 [7169]~P109(x71691)+~P1(f317(f317(f224(x71691),x71692),x71693))+P1(f317(f317(f224(f906(x71691,a894)),f317(f291(x71691),x71692)),f317(f291(x71691),x71693))) % 169.26/169.09 [7170]~P4(x71701)+~P1(f317(f317(f224(x71701),x71702),x71703))+P1(f317(f317(f224(f906(x71701,a894)),f317(f272(x71701),x71702)),f317(f272(x71701),x71703))) % 169.26/169.09 [7171]~P109(x71711)+~P1(f317(f317(f224(x71711),x71713),x71712))+P1(f317(f317(f224(f906(x71711,a894)),f317(f273(x71711),x71712)),f317(f273(x71711),x71713))) % 169.26/169.09 [7172]~P4(x71721)+~P1(f317(f317(f224(x71721),x71723),x71722))+P1(f317(f317(f224(f906(x71721,a894)),f317(f294(x71721),x71722)),f317(f294(x71721),x71723))) % 169.26/169.09 [7173]~P4(x71731)+~P1(f317(f317(f225(x71731),x71732),x71733))+P1(f317(f317(f225(f906(x71731,a894)),f317(f272(x71731),x71732)),f317(f272(x71731),x71733))) % 169.26/169.09 [7184]~P8(x71841)+P1(f317(f317(f224(x71841),x71842),f32(x71841,x71843)))+P1(f317(f317(f319(x71841),f592(x71843,x71842,x71841)),x71843)) % 169.26/169.09 [7190]~P81(x71901)+P1(f317(f317(f224(x71901),f317(f317(f23(x71901),x71902),x71903)),f2(x71901)))+~P1(f317(f317(f224(x71901),x71902),x71903)) % 169.26/169.09 [7191]~P81(x71911)+P1(f317(f317(f225(x71911),f317(f317(f23(x71911),x71912),x71913)),f2(x71911)))+~P1(f317(f317(f225(x71911),x71912),x71913)) % 169.26/169.09 [7233]P1(f317(x72331,x72332))+P1(f317(f317(f224(a897),f355(x72331,x72333)),x72333))+~P1(f317(f317(f319(a897),x72332),f293(a897,f2(a897),x72333))) % 169.26/169.09 [7275]~E(f317(f317(f6(x72751,a897),x72752),x72753),f72(a897))+~P1(f317(f28(x72751),x72753))+P1(f317(f317(f319(x72751),f399(x72752,x72753,x72751)),x72753)) % 169.26/169.09 [7276]~P1(f317(x72761,x72763))+P1(f317(f317(f224(a897),f354(x72761,x72762)),x72762))+~P1(f317(f317(f319(a897),x72763),f293(a897,f2(a897),x72762))) % 169.26/169.09 [7314]~P8(x73141)+P1(f317(f317(f319(x73141),f594(x73143,x73142,x73141)),x73142))+P1(f317(f317(f224(x73141),f31(x73141,x73142)),x73143)) % 169.26/169.09 [7348]~E(f317(f317(f6(x73481,a897),x73482),x73483),f317(a102,f2(a897)))+~P1(f317(f28(x73481),x73483))+P1(f317(f317(f319(x73481),f410(x73482,x73483,x73481)),x73483)) % 169.26/169.09 [7359]E(x73591,f2(a897))+P1(f317(x73592,f40(a897,x73593,x73591)))+P1(f317(f317(f225(a897),f859(x73591,x73593,x73592)),x73591)) % 169.26/169.09 [7471]~P1(f317(x74711,x74712))+P1(f317(x74711,f40(a897,x74712,x74713)))+P1(f317(f317(f225(a897),f859(x74713,x74712,x74711)),x74713)) % 169.26/169.09 [7584]E(x75841,f103(x75842))+~P1(f317(f317(f319(f898(x75842)),x75841),f151(x75842,x75843)))+P1(f317(f317(f319(x75842),f668(x75843,x75841,x75842)),x75843)) % 169.26/169.09 [7607]~P4(x76071)+E(f317(f317(f91(f906(x76071,a894)),f317(f317(f299(x76071),x76072),f178(f906(x76071,a894)))),f296(x76071,x76072,x76073)),f317(f292(x76071,x76072),x76073))+~P1(f317(f317(f225(x76071),x76072),x76073)) % 169.26/169.09 [7630]~P4(x76301)+E(f317(f317(f91(f906(x76301,a894)),f317(f317(f299(x76301),x76302),f178(f906(x76301,a894)))),f295(x76301,x76302,x76303)),f293(x76301,x76302,x76303))+~P1(f317(f317(f224(x76301),x76302),x76303)) % 169.26/169.09 [7741]~P4(x77411)+P1(f317(f317(f224(x77411),x77412),x77413))+~P1(f317(f317(f224(f906(x77411,a894)),f317(f294(x77411),x77413)),f317(f294(x77411),x77412))) % 169.26/169.09 [7742]~P109(x77421)+P1(f317(f317(f224(x77421),x77422),x77423))+~P1(f317(f317(f224(f906(x77421,a894)),f317(f273(x77421),x77423)),f317(f273(x77421),x77422))) % 169.26/169.09 [7743]~P4(x77431)+P1(f317(f317(f224(x77431),x77432),x77433))+~P1(f317(f317(f224(f906(x77431,a894)),f317(f272(x77431),x77432)),f317(f272(x77431),x77433))) % 169.26/169.09 [7744]~P109(x77441)+P1(f317(f317(f224(x77441),x77442),x77443))+~P1(f317(f317(f224(f906(x77441,a894)),f317(f291(x77441),x77442)),f317(f291(x77441),x77443))) % 169.26/169.09 [7745]~P4(x77451)+P1(f317(f317(f225(x77451),x77452),x77453))+~P1(f317(f317(f225(f906(x77451,a894)),f317(f272(x77451),x77452)),f317(f272(x77451),x77453))) % 169.26/169.09 [7768]~P81(x77681)+~P1(f317(f317(f224(x77681),f317(f317(f23(x77681),x77682),x77683)),f2(x77681)))+P1(f317(f317(f224(x77681),x77682),x77683)) % 169.26/169.09 [7769]~P81(x77691)+~P1(f317(f317(f225(x77691),f317(f317(f23(x77691),x77692),x77693)),f2(x77691)))+P1(f317(f317(f225(x77691),x77692),x77693)) % 169.26/169.09 [7926]E(x79261,f2(a897))+~E(f317(f132(a897,a897,f74(a897),x79262),x79263),f2(a897))+~P1(f317(f317(f319(a897),x79261),f317(f162(a897),x79263))) % 169.26/169.09 [7930]~P8(x79301)+~P1(f317(f317(f224(x79301),f594(x79303,x79302,x79301)),x79303))+P1(f317(f317(f224(x79301),f31(x79301,x79302)),x79303)) % 169.26/169.09 [8084]P1(f317(f317(f224(a1),f2(a1)),f862(x80841,x80842,x80843)))+P1(f317(f317(x80842,f317(f317(f30(a1),x80841),x80843)),f40(a1,x80841,x80843)))+~P1(f317(f317(f225(a1),f2(a1)),x80843)) % 169.26/169.09 [8172]E(x81721,x81722)+~E(f317(f179(f898(x81723)),x81721),f317(f179(f898(x81723)),x81722))+~P1(f317(f317(f247(x81723,x81723,a894),a314),f643(x81723,x81721,x81722))) % 169.26/169.09 [8243]~P39(x82432,x82433)+E(x82431,f178(f906(x82432,a894)))+~P1(f317(f317(f224(f906(x82432,a894)),x82431),f317(f275(x82432,x82432,x82433),x82431))) % 169.26/169.09 [8274]~P67(x82741)+~P1(f317(f317(f224(x82741),x82742),f317(f317(f74(x82741),x82743),f748(x82743,x82742,x82741))))+P1(f317(f317(f224(x82741),x82742),x82743)) % 169.26/169.09 [8309]P55(x83091,x83092,x83093)+P1(f317(f317(f319(x83091),f511(x83093,x83092,x83091)),x83092))+P1(f317(f317(f319(f905(x83091,x83091)),f512(x83093,x83092,x83091)),x83093)) % 169.26/169.09 [8330]P1(f317(f317(x83302,f317(f317(f30(a1),x83301),x83303)),f40(a1,x83301,x83303)))+~P1(f317(f317(f225(a1),f2(a1)),x83303))+P1(f317(f317(f225(a1),f862(x83301,x83302,x83303)),x83303)) % 169.26/169.09 [8355]E(f317(f300(a897,a897,f317(f317(f7(a897,a897,a897),f23(a897)),x83551)),f317(f292(a897,x83552),x83553)),f178(f906(a897,a894)))+P1(f317(f317(f225(a897),x83551),x83553))+P1(f317(f317(f225(a897),x83552),x83553)) % 169.26/169.09 [8466]E(f317(f300(a897,a897,f317(f317(f7(a897,a897,a897),f23(a897)),x84661)),f317(f292(a897,x84662),x84663)),f317(f317(f299(a897),f2(a897)),f178(f906(a897,a894))))+P1(f317(f317(f225(a897),x84661),x84663))+~P1(f317(f317(f225(a897),x84662),x84663)) % 169.26/169.09 [8480]~P4(x84801)+E(f139(x84801,x84801,f5(x84801),x84802,x84803),x84803)+~P1(f317(f317(f319(x84801),x84802),f317(f162(x84801),x84803))) % 169.26/169.09 [8493]P27(x84931,x84931,x84932,x84933)+~P1(f317(f28(x84931),x84933))+~P1(f317(f317(f224(f906(x84931,a894)),x84933),f317(f300(x84931,x84931,x84932),x84933))) % 169.26/169.09 [8519]E(f317(f317(f74(a1),f317(f317(f75(a1),x85191),f863(x85192,x85193,x85191))),f862(x85192,x85193,x85191)),x85192)+P1(f317(f317(x85193,f317(f317(f30(a1),x85192),x85191)),f40(a1,x85192,x85191)))+~P1(f317(f317(f225(a1),f2(a1)),x85191)) % 169.26/169.09 [8756]~P1(f317(f317(x87561,f863(x87562,x87561,x87563)),f862(x87562,x87561,x87563)))+P1(f317(f317(x87561,f317(f317(f30(a1),x87562),x87563)),f40(a1,x87562,x87563)))+~P1(f317(f317(f225(a1),f2(a1)),x87563)) % 169.26/169.09 [9656]~P1(f317(f28(x96561),x96562))+~P1(f317(f317(f319(x96561),x96563),x96562))+P1(f317(f317(f225(a897),f317(f29(x96561),f317(f317(f23(f906(x96561,a894)),x96562),f317(f317(f299(x96561),x96563),f178(f906(x96561,a894)))))),f317(f29(x96561),x96562))) % 169.26/169.09 [10257]P55(x102571,x102572,x102573)+~P1(f317(f317(f247(x102571,x102571,a894),f317(f317(f7(x102571,f906(x102571,a894),f906(x102571,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x102571,a894),f906(x102571,a894)),x102571),f8(a894,a894,x102571)),f317(f317(f8(a894,f906(a894,a894),x102571),a315),f317(f317(f7(x102571,f906(x102571,a894),a894),f319(x102571)),x102572)))),f317(f317(f7(x102571,f906(x102571,a894),a894),f319(x102571)),x102572))),f512(x102573,x102572,x102571)))+P1(f317(f317(f319(x102571),f511(x102573,x102572,x102571)),x102572)) % 169.26/169.09 [5548]~P122(x55482)+E(x55481,f2(x55482))+E(f317(f317(f281(x55482),x55483),f317(f73(x55482),x55481)),f317(f73(x55482),f317(f317(f281(x55482),x55483),x55481))) % 169.26/169.09 [5688]~E(x56883,f178(f906(x56881,a894)))+~E(x56882,f178(f906(x56881,a894)))+E(f317(f317(f91(f906(x56881,a894)),x56882),x56883),f178(f906(x56881,a894))) % 169.26/169.09 [5746]~E(x57463,f2(a897))+~P1(f317(x57461,f2(a897)))+P1(f317(x57461,f317(f317(f30(a897),x57462),x57463))) % 169.26/169.09 [5898]~P67(x58982)+E(x58981,f2(x58982))+E(f317(f317(f281(x58982),f317(f70(x58982),x58983)),f317(f70(x58982),x58981)),f317(f70(x58982),f317(f317(f281(x58982),x58983),x58981))) % 169.26/169.09 [5997]~P112(x59971)+~E(x59972,f72(x59971))+P1(f317(f317(f277(x59971),x59972),f317(f317(f234(x59971),x59972),x59973))) % 169.26/169.09 [6018]~P6(x60181)+E(f317(f317(f75(x60181),x60182),f317(f317(f30(x60181),x60183),x60182)),x60183)+~P1(f317(f317(f277(x60181),x60182),x60183)) % 169.26/169.09 [6073]~P1(f317(f28(x60731),x60733))+E(f317(f29(x60731),f317(f317(f299(x60731),x60732),x60733)),f317(a102,f317(f29(x60731),x60733)))+P1(f317(f317(f319(x60731),x60732),x60733)) % 169.26/169.09 [6150]~E(x61502,f2(a897))+P1(f317(x61501,f2(a897)))+~P1(f317(x61501,f317(f317(f30(a897),x61503),x61502))) % 169.26/169.09 [6167]~P1(f317(f28(x61671),x61673))+E(f317(f29(x61671),f317(f317(f299(x61671),x61672),x61673)),f317(f29(x61671),x61673))+~P1(f317(f317(f319(x61671),x61672),x61673)) % 169.26/169.09 [6203]~P1(f317(f28(x62031),x62033))+E(f317(f29(x62031),f317(f317(f299(x62031),x62032),x62033)),f317(f317(f74(a897),f72(a897)),f317(f29(x62031),x62033)))+P1(f317(f317(f319(x62031),x62032),x62033)) % 169.26/169.09 [6210]~P7(x62101)+E(f317(f317(f30(x62101),x62102),f317(f73(x62101),x62103)),f317(f73(x62101),f317(f317(f30(x62101),x62102),x62103)))+~P1(f317(f317(f277(x62101),x62103),x62102)) % 169.26/169.09 [6325]E(f317(f317(f74(a897),x63251),f529(x63251,x63252,x63253)),x63252)+~P1(f317(x63253,f2(a897)))+P1(f317(x63253,f317(f317(f23(a897),x63252),x63251))) % 169.26/169.09 [6326]E(f317(f317(f74(a897),x63261),f539(x63261,x63262,x63263)),x63262)+~P1(f317(x63263,f2(a897)))+P1(f317(x63263,f317(f317(f23(a897),x63262),x63261))) % 169.26/169.09 [6351]~P7(x63511)+E(f317(f317(f30(x63511),f317(f73(x63511),x63512)),x63513),f317(f73(x63511),f317(f317(f30(x63511),x63512),x63513)))+~P1(f317(f317(f277(x63511),x63513),x63512)) % 169.26/169.09 [6375]~P8(x63751)+~P1(f317(f28(x63751),x63753))+E(f317(f317(f58(x63751,x63751,f91(x63751)),x63752),x63753),f317(f317(f91(x63751),x63752),f31(x63751,x63753))) % 169.26/169.09 [6376]~P8(x63761)+~P1(f317(f28(x63761),x63763))+E(f317(f317(f58(x63761,x63761,f92(x63761)),x63762),x63763),f317(f317(f92(x63761),x63762),f32(x63761,x63763))) % 169.26/169.09 [6382]~P95(x63821)+~E(f317(f94(x63821),x63822),f317(f94(x63821),x63823))+P30(x63821,f317(f94(x63821),f317(f317(f74(a1),x63822),f317(f73(a1),x63823)))) % 169.26/169.09 [6392]~P128(x63921)+E(f317(f317(f23(x63921),f317(f90(x63921),x63922)),f317(f90(x63921),x63923)),f317(f90(x63921),f317(f317(f23(a897),x63922),x63923)))+~P1(f317(f317(f224(a897),x63923),x63922)) % 169.26/169.09 [6399]~P114(x63991)+~P1(f317(f317(f277(x63991),x63992),x63993))+P1(f317(f317(f277(x63991),f317(f73(x63991),x63992)),x63993)) % 169.26/169.09 [6400]~P111(x64001)+~P1(f317(f317(f277(x64001),x64002),x64003))+P1(f317(f317(f277(x64001),f317(f70(x64001),x64002)),x64003)) % 169.26/169.09 [6483]E(f317(f317(f74(a897),x64831),f529(x64831,x64832,x64833)),x64832)+P1(f317(f317(f225(a897),x64832),x64831))+P1(f317(x64833,f317(f317(f23(a897),x64832),x64831))) % 169.26/169.09 [6484]E(f317(f317(f74(a897),x64841),f539(x64841,x64842,x64843)),x64842)+P1(f317(f317(f225(a897),x64842),x64841))+P1(f317(x64843,f317(f317(f23(a897),x64842),x64841))) % 169.26/169.09 [6500]~P111(x65001)+E(f317(f317(f75(x65001),f317(f70(x65001),x65002)),x65003),f317(f70(x65001),f317(f317(f75(x65001),x65002),x65003)))+~P1(f317(f317(f224(x65001),f2(x65001)),x65003)) % 169.26/169.09 [6501]~P66(x65011)+E(f317(f317(f281(x65011),f317(f70(x65011),x65012)),x65013),f317(f70(x65011),f317(f317(f281(x65011),x65012),x65013)))+~P1(f317(f317(f225(x65011),f2(x65011)),x65013)) % 169.26/169.09 [6510]~P4(x65101)+~P1(f317(f28(x65101),x65103))+E(f317(f317(f58(x65101,x65101,f228(x65101)),x65102),x65103),f14(x65101,f317(f317(f299(x65101),x65102),x65103))) % 169.26/169.09 [6511]~P4(x65111)+~P1(f317(f28(x65111),x65113))+E(f317(f317(f58(x65111,x65111,f223(x65111)),x65112),x65113),f15(x65111,f317(f317(f299(x65111),x65112),x65113))) % 169.26/169.09 [6512]~P101(x65121)+~P1(f317(f28(x65121),x65123))+E(f317(f317(f58(x65121,x65121,f91(x65121)),x65122),x65123),f13(x65121,f317(f317(f299(x65121),x65122),x65123))) % 169.26/169.09 [6513]~P101(x65131)+~P1(f317(f28(x65131),x65133))+E(f317(f317(f58(x65131,x65131,f92(x65131)),x65132),x65133),f10(x65131,f317(f317(f299(x65131),x65132),x65133))) % 169.26/169.09 [6558]E(x65581,f103(x65582))+~E(f169(x65582,x65583),f103(f898(x65582)))+~P1(f317(f317(f319(f898(x65582)),x65581),f317(f162(f898(x65582)),x65583))) % 169.26/169.09 [6577]~P112(x65771)+~P1(f317(f317(f225(a897),f2(a897)),x65773))+P1(f317(f317(f277(x65771),x65772),f317(f317(f234(x65771),x65772),x65773))) % 169.26/169.09 [6605]~P1(f317(f127(x66051),x66053))+P1(f317(f317(f319(x66051),x66052),f317(f162(x66051),x66053)))+P1(f317(f127(x66051),f317(f317(f141(x66051),x66052),x66053))) % 169.26/169.09 [6616]~P99(x66161)+~P1(f317(f28(x66161),x66163))+E(f317(f57(x66161,f75(x66161)),f317(f317(f299(x66161),x66162),x66163)),f317(f317(f58(x66161,x66161,f75(x66161)),x66162),x66163)) % 169.26/169.09 [6638]~P4(x66381)+~P1(f317(f28(x66381),x66383))+E(f11(x66381,f228(x66381),f317(f317(f299(x66381),x66382),x66383)),f317(f317(f58(x66381,x66381,f228(x66381)),x66382),x66383)) % 169.26/169.09 [6639]~P4(x66391)+~P1(f317(f28(x66391),x66393))+E(f12(x66391,f223(x66391),f317(f317(f299(x66391),x66392),x66393)),f317(f317(f58(x66391,x66391,f223(x66391)),x66392),x66393)) % 169.26/169.09 [6641]P1(f317(x66411,f2(a897)))+~P1(f317(f317(f225(a897),x66412),x66413))+~P1(f317(x66411,f317(f317(f23(a897),x66412),x66413))) % 169.26/169.09 [6662]~P89(x66621)+P1(f317(f317(f224(x66621),x66622),x66623))+~P1(f317(f317(f224(x66621),f317(f70(x66621),x66622)),x66623)) % 169.26/169.09 [6663]~P111(x66631)+P1(f317(f317(f225(x66631),x66632),x66633))+~P1(f317(f317(f225(x66631),f317(f70(x66631),x66632)),x66633)) % 169.26/169.09 [6664]~P111(x66641)+P1(f317(f317(f277(x66641),x66642),x66643))+~P1(f317(f317(f277(x66641),f317(f70(x66641),x66642)),x66643)) % 169.26/169.09 [6665]~P114(x66651)+P1(f317(f317(f277(x66651),x66652),x66653))+~P1(f317(f317(f277(x66651),f317(f73(x66651),x66652)),x66653)) % 169.26/169.09 [6682]E(x66821,f103(x66822))+E(f317(f131(x66822),f317(f317(f128(x66822),x66823),x66821)),f317(f317(f154(x66822),x66821),x66823))+~P1(f317(f317(f225(a897),x66823),f317(f179(f898(x66822)),x66821))) % 169.26/169.09 [6737]~P1(f317(x67371,x67373))+P1(f317(x67371,f395(x67371,x67372)))+~P1(f317(f317(f319(a897),x67373),f317(f292(a897,f2(a897)),x67372))) % 169.26/169.09 [6757]P1(f317(x67571,x67572))+~P1(f317(f317(f225(a897),x67572),x67573))+P1(f317(f317(f319(a897),f394(x67571,x67573)),f317(f292(a897,f2(a897)),x67573))) % 169.26/169.09 [6772]~P110(x67721)+~P1(f317(f317(f224(x67721),f72(x67721)),x67722))+P1(f317(f317(f224(x67721),f72(x67721)),f317(f317(f234(x67721),x67722),x67723))) % 169.26/169.09 [6774]~P110(x67741)+~P1(f317(f317(f224(x67741),f2(x67741)),x67742))+P1(f317(f317(f224(x67741),f2(x67741)),f317(f317(f234(x67741),x67742),x67743))) % 169.26/169.09 [6776]~P110(x67761)+~P1(f317(f317(f225(x67761),f2(x67761)),x67762))+P1(f317(f317(f225(x67761),f2(x67761)),f317(f317(f234(x67761),x67762),x67763))) % 169.26/169.09 [6801]~P1(f317(x68011,x68013))+~P1(f317(f317(f225(a897),x68013),x68012))+P1(f317(f317(f319(a897),f382(x68011,x68012)),f317(f292(a897,f2(a897)),x68012))) % 169.26/169.09 [6809]P1(f317(f28(x68091),x68092))+~P1(f317(f28(x68091),x68093))+~P1(f317(f317(f224(f906(x68091,a894)),x68092),x68093)) % 169.26/169.09 [6816]~P1(f317(f317(f277(a897),x68161),x68162))+~P1(f317(f317(f277(a897),x68161),x68163))+P1(f317(f317(f277(a897),x68161),f317(f317(f23(a897),x68162),x68163))) % 169.26/169.09 [6817]P1(f317(x68171,x68172))+~P1(f317(x68171,f396(x68171,x68173)))+~P1(f317(f317(f319(a897),x68172),f317(f292(a897,f2(a897)),x68173))) % 169.26/169.09 [6830]E(x68301,f2(a897))+P1(f317(x68302,f866(x68301,x68303,x68302)))+~P1(f317(x68302,f317(f317(f30(a897),x68303),x68301))) % 169.26/169.09 [6838]~P125(x68382)+E(x68381,f2(x68382))+~E(f317(f317(f74(x68382),f317(f317(f75(x68382),x68383),x68383)),f317(f317(f75(x68382),x68381),x68381)),f2(x68382)) % 169.26/169.09 [6839]~P125(x68392)+E(x68391,f2(x68392))+~E(f317(f317(f74(x68392),f317(f317(f75(x68392),x68391),x68391)),f317(f317(f75(x68392),x68393),x68393)),f2(x68392)) % 169.26/169.09 [6885]E(x68851,f2(a897))+~P1(f317(x68852,f867(x68851,x68853,x68852)))+P1(f317(x68852,f317(f317(f30(a897),x68853),x68851))) % 169.26/169.09 [6890]~P4(x68901)+~P16(x68901,x68903)+P16(x68901,f317(f317(f138(x68901,x68901,f5(x68901)),x68902),x68903)) % 169.26/169.09 [6932]P1(f317(x69321,f866(x69322,x69323,x69321)))+P1(f317(x69321,f2(a897)))+~P1(f317(x69321,f317(f317(f30(a897),x69323),x69322))) % 169.26/169.09 [6938]~P95(x69381)+E(f317(f94(x69381),x69382),f317(f94(x69381),x69383))+~P30(x69381,f317(f94(x69381),f317(f317(f74(a1),x69382),f317(f73(a1),x69383)))) % 169.26/169.09 [7006]E(x70061,f2(a1))+E(x70062,f2(a1))+~P1(f317(f44(x70062,x70062),f317(f317(f242(a1,a1),x70063),x70061))) % 169.26/169.09 [7007]E(x70071,f72(a1))+E(x70072,f2(a1))+~P1(f317(f44(x70072,x70072),f317(f317(f242(a1,a1),x70071),x70073))) % 169.26/169.09 [7022]P1(f317(x70221,x70222))+P1(f317(f317(f225(a897),f396(x70221,x70223)),x70223))+~P1(f317(f317(f319(a897),x70222),f317(f292(a897,f2(a897)),x70223))) % 169.26/169.09 [7045]~P1(f317(x70451,f529(x70453,x70452,x70451)))+~P1(f317(x70451,f2(a897)))+P1(f317(x70451,f317(f317(f23(a897),x70452),x70453))) % 169.26/169.09 [7046]~P1(f317(x70461,f539(x70463,x70462,x70461)))+~P1(f317(x70461,f2(a897)))+P1(f317(x70461,f317(f317(f23(a897),x70462),x70463))) % 169.26/169.09 [7047]~P1(f317(x70471,f867(x70473,x70472,x70471)))+~P1(f317(x70471,f2(a897)))+P1(f317(x70471,f317(f317(f30(a897),x70472),x70473))) % 169.26/169.09 [7067]~P1(f317(x70671,x70673))+P1(f317(f317(f225(a897),f395(x70671,x70672)),x70672))+~P1(f317(f317(f319(a897),x70673),f317(f292(a897,f2(a897)),x70672))) % 169.26/169.09 [7068]E(f317(f317(f23(a897),f317(f317(f23(a897),x70681),x70682)),f317(f317(f23(a897),x70683),x70682)),f317(f317(f23(a897),x70681),x70683))+~P1(f317(f317(f224(a897),x70682),x70681))+~P1(f317(f317(f224(a897),x70682),x70683)) % 169.26/169.09 [7104]~P81(x71041)+~P1(f317(f317(f224(x71041),f317(f73(x71041),x71043)),x71042))+P1(f317(f317(f224(x71041),f317(f73(x71041),x71042)),x71043)) % 169.26/169.09 [7106]~P89(x71061)+~P1(f317(f317(f224(x71061),f317(f70(x71061),x71062)),x71063))+P1(f317(f317(f224(x71061),f317(f73(x71061),x71062)),x71063)) % 169.26/169.09 [7108]~P81(x71081)+~P1(f317(f317(f225(x71081),f317(f73(x71081),x71083)),x71082))+P1(f317(f317(f225(x71081),f317(f73(x71081),x71082)),x71083)) % 169.26/169.09 [7109]~P111(x71091)+~P1(f317(f317(f225(x71091),f317(f70(x71091),x71092)),x71093))+P1(f317(f317(f225(x71091),f317(f73(x71091),x71092)),x71093)) % 169.26/169.09 [7141]~P1(f317(x71413,f529(x71412,x71411,x71413)))+P1(f317(f317(f225(a897),x71411),x71412))+P1(f317(x71413,f317(f317(f23(a897),x71411),x71412))) % 169.26/169.09 [7142]~P1(f317(x71423,f539(x71422,x71421,x71423)))+P1(f317(f317(f225(a897),x71421),x71422))+P1(f317(x71423,f317(f317(f23(a897),x71421),x71422))) % 169.26/169.09 [7194]~E(f600(x71943,x71942,x71941),f599(x71943,x71942,x71941))+E(f317(f317(f92(f906(x71941,a894)),x71942),f31(f906(x71941,a894),x71943)),f178(f906(x71941,a894)))+P1(f317(f317(f319(f906(x71941,a894)),x71942),x71943)) % 169.26/169.09 [7202]~P1(f317(f28(x72021),x72023))+P1(f317(f28(x72021),f32(f906(x72021,a894),x72022)))+~P1(f317(f317(f319(f906(x72021,a894)),x72023),x72022)) % 169.26/169.09 [7262]~P4(x72621)+E(f317(f317(f91(f906(x72621,a894)),f317(f292(x72621,x72622),x72623)),f317(f317(f299(x72621),x72623),f178(f906(x72621,a894)))),f293(x72621,x72622,x72623))+~P1(f317(f317(f224(x72621),x72622),x72623)) % 169.26/169.09 [7265]E(x72651,f2(a897))+P1(f317(f317(f225(a897),f868(x72651,x72653,x72652)),x72651))+P1(f317(x72652,f317(f317(f30(a897),x72653),x72651))) % 169.26/169.09 [7294]P1(f317(f317(f225(a897),f317(f179(f898(x72941)),x72942)),f763(x72943,x72941)))+~P1(f317(f28(f898(x72941)),x72943))+~P1(f317(f317(f319(f898(x72941)),x72942),x72943)) % 169.26/169.09 [7300]E(x73001,x73002)+~P1(f317(f317(f224(f906(x73003,a894)),x73001),x73002))+P1(f317(f317(f225(f906(x73003,a894)),x73001),x73002)) % 169.26/169.09 [7311]E(x73111,x73112)+~E(f317(f179(f898(x73113)),x73111),f317(f179(f898(x73113)),x73112))+P1(f317(f317(f225(a897),f615(x73113,x73111,x73112)),f317(f179(f898(x73113)),x73112))) % 169.26/169.09 [7360]P11(x73601,x73602,x73603)+~E(f317(f254(x73601,x73601),x73603),x73602)+~E(f317(f317(f279(x73601,x73601,x73601),f317(f276(x73601,x73601),x73603)),x73603),x73603) % 169.26/169.09 [7440]~P1(f317(x74401,f2(a897)))+P1(f317(f317(f225(a897),f868(x74403,x74402,x74401)),x74403))+P1(f317(x74401,f317(f317(f30(a897),x74402),x74403))) % 169.26/169.09 [7450]~P4(x74501)+E(f317(f317(f91(f906(x74501,a894)),f296(x74501,x74502,x74503)),f317(f317(f299(x74501),x74503),f178(f906(x74501,a894)))),f295(x74501,x74502,x74503))+~P1(f317(f317(f225(x74501),x74502),x74503)) % 169.26/169.09 [7542]~P1(f317(f28(x75421),x75423))+P1(f317(f317(f224(a897),f317(f29(x75421),x75422)),f317(f29(x75421),x75423)))+~P1(f317(f317(f224(f906(x75421,a894)),x75422),x75423)) % 169.26/169.09 [7543]~P1(f317(f28(x75431),x75433))+P1(f317(f317(f225(a897),f317(f29(x75431),x75432)),f317(f29(x75431),x75433)))+~P1(f317(f317(f225(f906(x75431,a894)),x75432),x75433)) % 169.26/169.09 [7676]E(x76761,x76762)+~P1(f317(f317(f224(f906(x76763,a894)),x76762),x76761))+~P1(f317(f317(f224(f906(x76763,a894)),x76761),x76762)) % 169.26/169.09 [7679]~P4(x76791)+P16(x76791,x76792)+~P16(x76791,f317(f317(f138(x76791,x76791,f5(x76791)),x76793),x76792)) % 169.26/169.09 [7750]~P1(f317(f317(f225(a897),x77503),x77502))+~P1(f317(f317(f225(a897),x77503),x77501))+P1(f317(f317(f225(a897),f317(f317(f23(a897),x77501),x77502)),f317(f317(f23(a897),x77501),x77503))) % 169.26/169.09 [7751]~P1(f317(f317(f224(a897),x77512),x77511))+~P1(f317(f317(f225(a897),x77511),x77513))+P1(f317(f317(f225(a897),f317(f317(f23(a897),x77511),x77512)),f317(f317(f23(a897),x77513),x77512))) % 169.26/169.09 [7766]~P1(f317(f317(f225(a1),x77662),f2(a1)))+~P1(f317(f317(f224(a1),x77663),x77661))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x77661),x77662)),f317(f317(f30(a1),x77663),x77662))) % 169.26/169.09 [7783]~P1(f317(f317(f225(a897),f2(a897)),x77833))+~P1(f317(f317(f224(a897),x77833),x77832))+P1(f317(f317(f224(a897),f317(f317(f30(a897),x77831),x77832)),f317(f317(f30(a897),x77831),x77833))) % 169.26/169.09 [7784]~P1(f317(f317(f225(a1),f2(a1)),x77842))+~P1(f317(f317(f224(a1),x77841),x77843))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x77841),x77842)),f317(f317(f30(a1),x77843),x77842))) % 169.26/169.09 [7788]~P1(f317(f317(f225(a897),f2(a897)),x77882))+~P1(f317(f317(f225(a897),x77881),x77883))+P1(f317(f317(f225(a897),f317(f317(f75(a897),x77881),x77882)),f317(f317(f75(a897),x77883),x77882))) % 169.26/169.09 [7789]~P1(f317(f317(f225(a897),f2(a897)),x77891))+~P1(f317(f317(f225(a897),x77892),x77893))+P1(f317(f317(f225(a897),f317(f317(f75(a897),x77891),x77892)),f317(f317(f75(a897),x77891),x77893))) % 169.26/169.09 [7790]~P1(f317(f317(f225(a1),f2(a1)),x77901))+~P1(f317(f317(f225(a1),x77902),x77903))+P1(f317(f317(f225(a1),f317(f317(f75(a1),x77901),x77902)),f317(f317(f75(a1),x77901),x77903))) % 169.26/169.09 [7839]E(x78391,f2(a897))+E(f317(f317(f74(a897),f317(f317(f75(a897),x78391),f867(x78391,x78392,x78393))),f868(x78391,x78392,x78393)),x78392)+P1(f317(x78393,f317(f317(f30(a897),x78392),x78391))) % 169.26/169.09 [7899]E(f317(f317(f74(a897),f317(f317(f75(a897),x78991),f867(x78991,x78992,x78993))),f868(x78991,x78992,x78993)),x78992)+~P1(f317(x78993,f2(a897)))+P1(f317(x78993,f317(f317(f30(a897),x78992),x78991))) % 169.26/169.09 [7917]~P1(f317(f28(x79171),x79173))+P1(f317(f317(f319(x79171),f875(x79172,x79173,x79171)),x79173))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f9(x79171,a897),x79172),x79173))) % 169.26/169.09 [7918]~P1(f317(f28(x79181),x79183))+P1(f317(f317(f319(x79181),f478(x79182,x79183,x79181)),x79183))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f9(x79181,a897),x79182),x79183))) % 169.26/169.09 [8018]E(x80181,f2(a897))+P1(f317(f317(f277(a897),x80182),x80183))+~P1(f317(f317(f277(a897),f317(f317(f75(a897),x80181),x80182)),f317(f317(f75(a897),x80181),x80183))) % 169.26/169.09 [8208]E(x82081,f178(f906(x82082,a894)))+E(x82081,f317(f317(f299(x82082),x82083),f178(f906(x82082,a894))))+~P1(f317(f317(f224(f906(x82082,a894)),x82081),f317(f317(f299(x82082),x82083),f178(f906(x82082,a894))))) % 169.26/169.09 [8244]~P1(f317(f317(f225(a897),f72(a897)),x82443))+P1(f317(f317(f224(a897),x82441),x82442))+~P1(f317(f317(f277(a897),f317(f317(f234(a897),x82443),x82441)),f317(f317(f234(a897),x82443),x82442))) % 169.26/169.09 [8246]~P1(f317(f317(f225(a897),f2(a897)),x82463))+P1(f317(f317(f224(a897),x82461),x82462))+~P1(f317(f317(f224(a897),f317(f317(f75(a897),x82463),x82461)),f317(f317(f75(a897),x82463),x82462))) % 169.26/169.09 [8247]~P1(f317(f317(f225(a897),f2(a897)),x82473))+P1(f317(f317(f224(a897),x82471),x82472))+~P1(f317(f317(f224(a897),f317(f317(f75(a897),x82471),x82473)),f317(f317(f75(a897),x82472),x82473))) % 169.26/169.09 [8249]~P1(f317(f317(f225(a897),f2(a897)),x82493))+P1(f317(f317(f225(a897),x82491),x82492))+~P1(f317(f317(f225(a897),f317(f317(f234(a897),x82493),x82491)),f317(f317(f234(a897),x82493),x82492))) % 169.26/169.09 [8251]~P1(f317(f317(f225(a897),f2(a897)),x82513))+P1(f317(f317(f277(a897),x82511),x82512))+~P1(f317(f317(f277(a897),f317(f317(f75(a897),x82513),x82511)),f317(f317(f75(a897),x82513),x82512))) % 169.26/169.09 [8290]~E(f317(f317(f92(f906(x82901,a894)),f599(x82903,x82902,x82901)),f600(x82903,x82902,x82901)),f178(f906(x82901,a894)))+E(f317(f317(f92(f906(x82901,a894)),x82902),f31(f906(x82901,a894),x82903)),f178(f906(x82901,a894)))+P1(f317(f317(f319(f906(x82901,a894)),x82902),x82903)) % 169.26/169.09 [8304]E(x83041,f103(x83042))+~E(f317(f132(f898(x83042),f898(x83042),f124(x83042),f103(x83042)),x83043),f103(x83042))+~P1(f317(f317(f319(f898(x83042)),x83041),f317(f162(f898(x83042)),x83043))) % 169.26/169.09 [8360]E(x83601,f178(f906(f906(x83602,a894),a894)))+P1(f317(f317(f319(f906(x83602,a894)),f602(x83603,x83601,x83602)),x83601))+P1(f317(f317(f224(f906(x83602,a894)),f32(f906(x83602,a894),x83601)),x83603)) % 169.26/169.09 [8366]~P76(x83661)+~P79(x83661)+E(f317(f317(f9(a1,x83661),f317(f317(f8(a897,x83661,a1),x83662),a95)),f317(f300(a897,a1,f90(a1)),x83663)),f317(f317(f9(a897,x83661),x83662),x83663)) % 169.26/169.09 [8367]~P76(x83671)+~P79(x83671)+E(f317(f317(f6(a1,x83671),f317(f317(f8(a897,x83671,a1),x83672),a95)),f317(f300(a897,a1,f90(a1)),x83673)),f317(f317(f6(a897,x83671),x83672),x83673)) % 169.26/169.09 [8409]~P1(f317(f28(x84091),x84093))+~P1(f317(f317(f225(a897),f2(a897)),f317(x84092,f875(x84092,x84093,x84091))))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f9(x84091,a897),x84092),x84093))) % 169.26/169.09 [8410]~P1(f317(f28(x84101),x84103))+~P1(f317(f317(f225(a897),f2(a897)),f317(x84102,f478(x84102,x84103,x84101))))+P1(f317(f317(f225(a897),f2(a897)),f317(f317(f9(x84101,a897),x84102),x84103))) % 169.26/169.09 [8446]~P65(x84462)+E(x84461,f72(x84462))+E(f317(f317(f281(x84462),f317(f317(f23(x84462),f317(f317(f234(x84462),x84461),x84463)),f72(x84462))),f317(f317(f23(x84462),x84461),f72(x84462))),f317(f317(f6(a897,x84462),f317(f234(x84462),x84461)),f317(f292(a897,f2(a897)),x84463))) % 169.26/169.09 [8504]E(x85041,f2(a897))+~P1(f317(x85043,f317(f317(f30(a897),x85042),x85041)))+P1(f317(f317(f225(a897),x85042),f317(f317(f75(a897),x85041),f317(a102,f866(x85041,x85042,x85043))))) % 169.26/169.09 [8523]P1(f317(x85231,f2(a897)))+~P1(f317(x85231,f317(f317(f30(a897),x85232),x85233)))+P1(f317(f317(f225(a897),x85232),f317(f317(f75(a897),x85233),f317(a102,f866(x85233,x85232,x85231))))) % 169.26/169.09 [8561]E(x85611,f2(a897))+~P1(f317(x85613,f317(f317(f30(a897),x85612),x85611)))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x85611),f866(x85611,x85612,x85613))),x85612)) % 169.26/169.09 [8592]P1(f317(x85921,f2(a897)))+~P1(f317(x85921,f317(f317(f30(a897),x85923),x85922)))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x85922),f866(x85922,x85923,x85921))),x85923)) % 169.26/169.09 [8600]~P4(x86001)+E(f317(f317(f138(x86001,x86001,f5(x86001)),x86002),x86003),f139(x86001,x86001,f5(x86001),x86002,x86003))+P1(f317(f317(f319(x86001),x86002),f317(f162(x86001),x86003))) % 169.26/169.09 [8635]~E(f317(x86353,f520(x86352,x86353,x86351)),f317(x86353,f523(x86352,x86353,x86351)))+~P62(x86351,f317(x86353,f521(x86352,x86353,x86351)))+P62(x86351,f317(f317(f34(x86352,f906(x86351,f906(x86351,a894))),f232(f906(x86352,a894))),x86353)) % 169.26/169.09 [8644]E(x86441,f178(f906(f906(x86442,a894),a894)))+~P1(f317(f317(f224(f906(x86442,a894)),f602(x86443,x86441,x86442)),x86443))+P1(f317(f317(f224(f906(x86442,a894)),f32(f906(x86442,a894),x86441)),x86443)) % 169.26/169.09 [8704]~P67(x87041)+~P1(f317(f317(f225(x87041),x87042),x87043))+P1(f317(f317(f225(x87041),x87042),f317(f317(f281(x87041),f317(f317(f74(x87041),x87042),x87043)),f317(f317(f74(x87041),f72(x87041)),f72(x87041))))) % 169.26/169.09 [8762]~P1(f317(f317(x87621,f883(x87621,x87623,x87622)),f884(x87621,x87623,x87622)))+P1(f317(f317(x87621,x87622),x87623))+~P1(f317(f305(f905(a1,a1),a47),f317(f317(f242(a1,a1),x87622),x87623))) % 169.26/169.09 [8763]~P1(f317(f317(x87631,f887(x87631,x87633,x87632)),f888(x87631,x87633,x87632)))+P1(f317(f317(x87631,x87632),x87633))+~P1(f317(f305(f905(a1,a1),a53),f317(f317(f242(a1,a1),x87632),x87633))) % 169.26/169.09 [8764]~P1(f317(f317(x87641,f889(x87641,x87643,x87642)),f890(x87641,x87643,x87642)))+P1(f317(f317(x87641,x87642),x87643))+~P1(f317(f305(f905(a1,a1),a211),f317(f317(f242(a1,a1),x87642),x87643))) % 169.26/169.09 [8765]~P1(f317(f317(x87651,f429(x87651,x87653,x87652)),f431(x87651,x87653,x87652)))+P1(f317(f317(x87651,x87652),x87653))+~P1(f317(f305(f905(a897,a897),a209),f317(f317(f242(a897,a897),x87652),x87653))) % 169.26/169.09 [8766]~P1(f317(f317(x87661,f654(x87661,x87663,x87662)),f656(x87661,x87663,x87662)))+P1(f317(f317(x87661,x87662),x87663))+~P1(f317(f305(f905(a1,a1),a172),f317(f317(f242(a1,a1),x87662),x87663))) % 169.26/169.09 [8767]~P1(f317(f317(x87671,f752(x87671,x87673,x87672)),f753(x87671,x87673,x87672)))+P1(f317(f317(x87671,x87672),x87673))+~P1(f317(f305(f905(a1,a1),a123),f317(f317(f242(a1,a1),x87672),x87673))) % 169.26/169.09 [9040]P1(f317(f317(x90401,x90402),x90403))+P1(f317(f305(f905(a897,a897),a209),f317(f317(f242(a897,a897),f429(x90401,x90403,x90402)),f431(x90401,x90403,x90402))))+~P1(f317(f305(f905(a897,a897),a209),f317(f317(f242(a897,a897),x90402),x90403))) % 169.26/169.09 [9041]P1(f317(f317(x90411,x90412),x90413))+P1(f317(f305(f905(a1,a1),a47),f317(f317(f242(a1,a1),f883(x90411,x90413,x90412)),f884(x90411,x90413,x90412))))+~P1(f317(f305(f905(a1,a1),a47),f317(f317(f242(a1,a1),x90412),x90413))) % 169.26/169.09 [9042]P1(f317(f317(x90421,x90422),x90423))+P1(f317(f305(f905(a1,a1),a53),f317(f317(f242(a1,a1),f887(x90421,x90423,x90422)),f888(x90421,x90423,x90422))))+~P1(f317(f305(f905(a1,a1),a53),f317(f317(f242(a1,a1),x90422),x90423))) % 169.26/169.09 [9043]P1(f317(f317(x90431,x90432),x90433))+P1(f317(f305(f905(a1,a1),a211),f317(f317(f242(a1,a1),f889(x90431,x90433,x90432)),f890(x90431,x90433,x90432))))+~P1(f317(f305(f905(a1,a1),a211),f317(f317(f242(a1,a1),x90432),x90433))) % 169.26/169.09 [9044]P1(f317(f317(x90441,x90442),x90443))+P1(f317(f305(f905(a1,a1),a172),f317(f317(f242(a1,a1),f654(x90441,x90443,x90442)),f656(x90441,x90443,x90442))))+~P1(f317(f305(f905(a1,a1),a172),f317(f317(f242(a1,a1),x90442),x90443))) % 169.26/169.09 [9045]P1(f317(f317(x90451,x90452),x90453))+P1(f317(f305(f905(a1,a1),a123),f317(f317(f242(a1,a1),f752(x90451,x90453,x90452)),f753(x90451,x90453,x90452))))+~P1(f317(f305(f905(a1,a1),a123),f317(f317(f242(a1,a1),x90452),x90453))) % 169.26/169.09 [9382]~P1(f317(f28(x93821),x93823))+P1(f317(f317(f319(f905(f906(x93821,a894),f906(x93821,a894))),f317(f317(f242(f906(x93821,a894),f906(x93821,a894)),x93822),x93823)),f304(x93821)))+~P1(f317(f317(f225(f906(x93821,a894)),x93822),x93823)) % 169.26/169.09 [9458]~P62(x94581,f317(x94583,f521(x94582,x94583,x94581)))+P62(x94581,f317(f317(f34(x94582,f906(x94581,f906(x94581,a894))),f232(f906(x94582,a894))),x94583))+~E(f317(f317(f92(f906(x94581,a894)),f239(x94581,x94581,f317(x94583,f520(x94582,x94583,x94581)))),f240(x94581,x94581,f317(x94583,f523(x94582,x94583,x94581)))),f178(f906(x94581,a894))) % 169.26/169.09 [9669]P55(x96691,x96692,x96693)+P1(f317(f317(f319(f905(x96691,x96691)),f512(x96693,x96692,x96691)),x96693))+~P1(f317(f317(f319(f905(x96691,x96691)),f317(f317(f242(x96691,x96691),f511(x96693,x96692,x96691)),f511(x96693,x96692,x96691))),x96693)) % 169.26/169.09 [10260]P55(x102601,x102602,x102603)+~P1(f317(f317(f247(x102601,x102601,a894),f317(f317(f7(x102601,f906(x102601,a894),f906(x102601,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x102601,a894),f906(x102601,a894)),x102601),f8(a894,a894,x102601)),f317(f317(f8(a894,f906(a894,a894),x102601),a315),f317(f317(f7(x102601,f906(x102601,a894),a894),f319(x102601)),x102602)))),f317(f317(f7(x102601,f906(x102601,a894),a894),f319(x102601)),x102602))),f512(x102603,x102602,x102601)))+~P1(f317(f317(f319(f905(x102601,x102601)),f317(f317(f242(x102601,x102601),f511(x102603,x102602,x102601)),f511(x102603,x102602,x102601))),x102603)) % 169.26/169.09 [5728]~P6(x57282)+E(x57281,f2(x57282))+E(f317(f317(f30(x57282),f317(f317(f75(x57282),x57283),x57281)),x57281),x57283) % 169.26/169.09 [5729]~P6(x57292)+E(x57291,f2(x57292))+E(f317(f317(f30(x57292),f317(f317(f75(x57292),x57291),x57293)),x57291),x57293) % 169.26/169.09 [6393]~P6(x63931)+E(f317(f317(f75(x63931),f317(f317(f30(x63931),x63932),x63933)),x63933),x63932)+~P1(f317(f317(f277(x63931),x63933),x63932)) % 169.26/169.09 [6557]~P76(x65571)+~E(f317(x65572,f2(a897)),f2(x65571))+E(f317(f317(f6(a897,x65571),x65572),f317(f292(a897,f317(a102,f2(a897))),x65573)),f317(f317(f6(a897,x65571),x65572),f317(f292(a897,f2(a897)),x65573))) % 169.26/169.09 [6695]~P6(x66952)+E(x66951,f2(x66952))+E(f317(f317(f30(x66952),f317(f317(f74(x66952),x66953),x66951)),x66951),f317(f317(f74(x66952),f317(f317(f30(x66952),x66953),x66951)),f72(x66952))) % 169.26/169.09 [6696]~P6(x66962)+E(x66961,f2(x66962))+E(f317(f317(f30(x66962),f317(f317(f74(x66962),x66961),x66963)),x66961),f317(f317(f74(x66962),f317(f317(f30(x66962),x66963),x66961)),f72(x66962))) % 169.26/169.09 [6921]~P1(f317(x69213,f2(a1)))+P1(f317(f317(f224(a897),x69211),x69212))+P1(f317(x69213,f317(f90(a1),f317(f317(f23(a897),x69212),x69211)))) % 169.26/169.09 [7028]P1(f317(f317(f225(a897),x70282),x70281))+P1(f317(f317(f224(a897),x70281),x70282))+P1(f317(x70283,f317(f90(a1),f317(f317(f23(a897),x70282),x70281)))) % 169.26/169.09 [7102]E(f317(f317(f74(a897),f317(f94(a897),x71021)),f317(f317(f74(a897),f317(f94(a897),x71022)),x71023)),f317(f317(f74(a897),f317(f94(a897),x71021)),x71023))+P1(f317(a183,f317(f94(a1),x71021)))+~P1(f317(a183,f317(f94(a1),x71022))) % 169.26/169.09 [7181]~E(x71812,f317(f317(f30(a897),x71813),x71811))+~P1(f317(f317(f225(a897),f2(a897)),x71811))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x71811),x71812)),x71813)) % 169.26/169.09 [7298]~P1(f317(f28(x72981),x72983))+~P1(f317(f28(x72981),x72982))+P1(f317(f28(x72981),f317(f317(f91(f906(x72981,a894)),x72982),x72983))) % 169.26/169.09 [7345]~P40(x73451,x73453)+~P40(x73451,x73452)+P40(x73451,f317(f317(f92(f906(f905(x73451,x73451),a894)),x73452),x73453)) % 169.26/169.09 [7346]~P54(x73461,x73463)+~P54(x73461,x73462)+P54(x73461,f317(f317(f91(f906(f905(x73461,x73461),a894)),x73462),x73463)) % 169.26/169.09 [7347]~P54(x73471,x73473)+~P54(x73471,x73472)+P54(x73471,f317(f317(f92(f906(f905(x73471,x73471),a894)),x73472),x73473)) % 169.26/169.09 [7590]~P4(x75901)+~P1(f317(f28(x75901),x75902))+E(f129(x75901,f317(f317(f23(f906(x75901,a894)),x75902),f317(f317(f299(x75901),x75903),f178(f906(x75901,a894))))),f160(x75901,x75903,f129(x75901,x75902))) % 169.26/169.09 [7655]P1(f317(x76551,f2(a1)))+~P1(f317(f317(f225(a897),x76552),x76553))+~P1(f317(x76551,f317(f90(a1),f317(f317(f23(a897),x76552),x76553)))) % 169.26/169.09 [7673]~P1(f317(f28(x76731),x76732))+E(f317(f29(x76731),f317(f317(f23(f906(x76731,a894)),x76732),f317(f317(f299(x76731),x76733),f178(f906(x76731,a894))))),f317(f29(x76731),x76732))+P1(f317(f317(f319(x76731),x76733),x76732)) % 169.26/169.09 [7806]~P110(x78061)+~P1(f317(f317(f225(x78061),f72(x78061)),x78062))+P1(f317(f317(f225(x78061),f72(x78061)),f317(f317(f75(x78061),x78062),f317(f317(f234(x78061),x78062),x78063)))) % 169.26/169.09 [7849]~P1(f317(f28(x78491),x78493))+E(f317(f317(f23(a897),f317(f29(x78491),x78492)),f317(f29(x78491),x78493)),f317(f29(x78491),f317(f317(f23(f906(x78491,a894)),x78492),x78493)))+~P1(f317(f317(f224(f906(x78491,a894)),x78493),x78492)) % 169.26/169.09 [7907]~P1(f317(f317(f224(a897),x79072),x79073))+~P1(f317(f317(f224(a897),x79071),f317(f317(f23(a897),x79073),x79072)))+P1(f317(f317(f224(a897),f317(f317(f74(a897),x79071),x79072)),x79073)) % 169.26/169.09 [7961]P1(f317(f28(x79611),x79612))+~P1(f317(f28(x79611),x79613))+~P1(f317(f28(x79611),f317(f317(f23(f906(x79611,a894)),x79612),x79613))) % 169.26/169.09 [7967]~P1(f317(f28(x79671),x79672))+E(f317(f29(x79671),f317(f317(f23(f906(x79671,a894)),x79672),f317(f317(f299(x79671),x79673),f178(f906(x79671,a894))))),f317(f317(f23(a897),f317(f29(x79671),x79672)),f72(a897)))+~P1(f317(f317(f319(x79671),x79673),x79672)) % 169.26/169.09 [8043]P62(x80431,x80432)+~P62(x80431,x80433)+~P1(f317(f317(f224(f906(x80431,f906(x80431,a894))),x80432),x80433)) % 169.26/169.09 [8083]~P1(f317(f317(f224(a897),x80833),x80832))+P1(f317(f317(f224(a897),x80831),f317(f317(f23(a897),x80832),x80833)))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),x80831),x80833)),x80832)) % 169.26/169.09 [8101]P39(x81011,x81012)+~P39(x81011,x81013)+~P1(f317(f317(f224(f906(f905(x81011,x81011),a894)),x81012),x81013)) % 169.26/169.09 [8102]P60(x81021,x81022)+~P60(x81021,x81023)+~P1(f317(f317(f224(f906(f905(x81021,x81021),a894)),x81022),x81023)) % 169.26/169.09 [8103]P41(x81031,x81032)+~P41(x81031,x81033)+~P1(f317(f317(f224(f906(f905(x81031,x81031),a894)),x81032),x81033)) % 169.26/169.09 [8337]~P110(x83371)+~P1(f317(f317(f225(x83371),f72(x83371)),x83372))+P1(f317(f317(f225(x83371),f317(f317(f234(x83371),x83372),x83373)),f317(f317(f75(x83371),x83372),f317(f317(f234(x83371),x83372),x83373)))) % 169.26/169.09 [8428]~P1(f317(x84281,f2(a1)))+~P1(f317(x84281,f317(f317(f23(a1),f317(f90(a1),x84282)),f317(f90(a1),x84283))))+P1(f317(x84281,f317(f90(a1),f317(f317(f23(a897),x84282),x84283)))) % 169.26/169.09 [8443]~P1(f317(f317(f224(a897),x84433),x84432))+P1(f317(x84431,f317(f317(f23(a1),f317(f90(a1),x84432)),f317(f90(a1),x84433))))+~P1(f317(x84431,f317(f90(a1),f317(f317(f23(a897),x84432),x84433)))) % 169.26/169.09 [8463]P1(f317(f317(f225(a897),x84631),x84632))+~P1(f317(x84633,f317(f317(f23(a1),f317(f90(a1),x84631)),f317(f90(a1),x84632))))+P1(f317(x84633,f317(f90(a1),f317(f317(f23(a897),x84631),x84632)))) % 169.26/169.09 [8516]~P125(x85162)+E(x85161,f2(x85162))+P1(f317(f317(f225(x85162),f2(x85162)),f317(f317(f74(x85162),f317(f317(f75(x85162),x85163),x85163)),f317(f317(f75(x85162),x85161),x85161)))) % 169.26/169.09 [8517]~P125(x85172)+E(x85171,f2(x85172))+P1(f317(f317(f225(x85172),f2(x85172)),f317(f317(f74(x85172),f317(f317(f75(x85172),x85171),x85171)),f317(f317(f75(x85172),x85173),x85173)))) % 169.26/169.09 [8617]~P1(f317(f317(f225(a897),f2(a897)),x86171))+~P1(f317(f317(f225(a1),x86172),x86173))+P1(f317(f317(f225(a1),f317(f317(f75(a1),f317(f90(a1),x86171)),x86172)),f317(f317(f75(a1),f317(f90(a1),x86171)),x86173))) % 169.26/169.09 [8673]E(f317(f317(f92(f906(x86731,a894)),x86732),f31(f906(x86731,a894),x86733)),f178(f906(x86731,a894)))+P1(f317(f317(f319(f906(x86731,a894)),x86732),x86733))+P1(f317(f317(f319(f906(x86731,a894)),f599(x86733,x86732,x86731)),f317(f317(f299(f906(x86731,a894)),x86732),x86733))) % 169.26/169.09 [8674]E(f317(f317(f92(f906(x86741,a894)),x86742),f31(f906(x86741,a894),x86743)),f178(f906(x86741,a894)))+P1(f317(f317(f319(f906(x86741,a894)),x86742),x86743))+P1(f317(f317(f319(f906(x86741,a894)),f600(x86743,x86742,x86741)),f317(f317(f299(f906(x86741,a894)),x86742),x86743))) % 169.26/169.09 [8703]E(x87031,x87032)+~E(f317(f179(f898(x87033)),x87031),f317(f179(f898(x87033)),x87032))+P1(f317(f317(f319(f905(x87033,x87033)),f643(x87033,x87031,x87032)),f317(f162(f905(x87033,x87033)),f317(f317(f171(x87033,x87033),x87032),x87031)))) % 169.26/169.09 [8953]E(f297(x89531,x89532),f297(x89531,x89533))+~P1(f317(f317(f224(f906(f905(x89531,x89531),a894)),x89533),f297(x89531,x89532)))+~P1(f317(f317(f224(f906(f905(x89531,x89531),a894)),x89532),x89533)) % 169.26/169.09 [9020]~P55(x90201,f232(f906(x90201,a894)),x90203)+P1(f317(f317(f224(f906(f905(f898(x90201),f898(x90201)),a894)),f147(x90201,x90202)),f148(x90201,x90203)))+~P1(f317(f317(f224(f906(f905(x90201,x90201),a894)),x90202),x90203)) % 169.26/169.09 [9216]P39(x92161,x92162)+~P1(f317(f317(f319(x92161),x92163),f611(x92162,x92161)))+P1(f317(f317(f319(f905(x92161,x92161)),f317(f317(f242(x92161,x92161),f617(x92162,x92161,x92163)),x92163)),x92162)) % 169.26/169.09 [9251]~P1(f317(f28(x92511),x92512))+P1(f317(f28(f906(x92511,a894)),f317(f317(f55(x92511),x92512),x92513)))+~P1(f317(f317(f224(f906(f905(x92511,x92511),a894)),x92513),f317(f317(f244(x92511,x92511),x92512),f317(f16(f906(x92511,a894),x92511),x92512)))) % 169.26/169.09 [9287]P55(x92871,x92872,x92873)+P1(f317(f317(f319(x92871),f479(x92873,x92872,x92871)),x92872))+~P1(f317(f317(f224(f906(f905(x92871,x92871),a894)),x92873),f317(f317(f244(x92871,x92871),x92872),f317(f16(f906(x92871,a894),x92871),x92872)))) % 169.26/169.09 [9288]P55(x92881,x92882,x92883)+P1(f317(f317(f319(x92881),f484(x92882,x92883,x92881)),x92882))+~P1(f317(f317(f224(f906(f905(x92881,x92881),a894)),x92883),f317(f317(f244(x92881,x92881),x92882),f317(f16(f906(x92881,a894),x92881),x92882)))) % 169.26/169.09 [9323]~P67(x93231)+~P1(f317(f317(f225(x93231),x93232),x93233))+P1(f317(f317(f225(x93231),f317(f317(f281(x93231),f317(f317(f74(x93231),x93232),x93233)),f317(f317(f74(x93231),f72(x93231)),f72(x93231)))),x93233)) % 169.26/169.09 [9354]~P66(x93541)+P1(f317(f317(f224(x93541),x93542),x93543))+~P1(f317(f317(f224(x93541),f317(f317(f75(x93541),f423(x93543,x93542,x93541)),x93542)),x93543)) % 169.26/169.09 [9493]E(f317(f179(f898(f898(x94931))),f317(f126(f898(x94931),f317(f317(f8(a897,a894,f898(x94931)),f317(f225(a897),x94932)),f179(f898(x94931)))),f169(x94931,x94933))),f317(f179(f898(x94931)),f317(f317(f154(f898(x94931)),x94933),x94932)))+~P16(a897,f317(f158(a897),f317(f317(f144(f898(x94931),a897),f179(f898(x94931))),x94933)))+~P1(f317(f317(f225(a897),x94932),f317(f179(f898(f898(x94931))),x94933))) % 169.26/169.09 [9616]~P39(x96161,x96162)+P29(x96161,f317(f317(f242(f906(f905(x96161,x96161),a894),f906(f905(x96161,x96161),a894)),x96162),x96163))+~P1(f317(f317(f224(f906(f905(x96161,x96161),a894)),f317(f317(f279(x96161,x96161,x96161),x96162),x96163)),x96162)) % 169.26/169.09 [9621]E(f317(f317(f144(f898(x96211),x96211),f317(f317(f7(f898(x96211),a897,x96211),f154(x96211)),x96212)),f317(f126(f898(x96211),f317(f317(f8(a897,a894,f898(x96211)),f317(f225(a897),x96212)),f179(f898(x96211)))),f169(x96211,x96213))),f317(f317(f154(f898(x96211)),x96213),x96212))+~P16(a897,f317(f158(a897),f317(f317(f144(f898(x96211),a897),f179(f898(x96211))),x96213)))+~P1(f317(f317(f225(a897),x96212),f317(f179(f898(f898(x96211))),x96213))) % 169.26/169.09 [9757]P55(x97571,x97572,x97573)+~P1(f317(f317(f319(f905(x97571,x97571)),f317(f317(f242(x97571,x97571),f479(x97573,x97572,x97571)),f479(x97573,x97572,x97571))),x97573))+~P1(f317(f317(f224(f906(f905(x97571,x97571),a894)),x97573),f317(f317(f244(x97571,x97571),x97572),f317(f16(f906(x97571,a894),x97571),x97572)))) % 169.26/169.09 [9758]P55(x97581,x97582,x97583)+~P1(f317(f317(f319(f905(x97581,x97581)),f317(f317(f242(x97581,x97581),f484(x97582,x97583,x97581)),f484(x97582,x97583,x97581))),x97583))+~P1(f317(f317(f224(f906(f905(x97581,x97581),a894)),x97583),f317(f317(f244(x97581,x97581),x97582),f317(f16(f906(x97581,a894),x97581),x97582)))) % 169.26/169.09 [9927]~P128(x99271)+~P124(x99271)+E(f317(f317(f281(x99271),f317(f93(x99271),f317(f317(f67(f905(a1,a1),a1,x99272,f241(a1,a1)),f202(x99272)),x99273))),f317(f93(x99271),f317(f317(f67(f905(a1,a1),a1,x99272,f246(a1,a1)),f202(x99272)),x99273))),f212(x99272,x99271,x99273)) % 169.26/169.09 [10130]~E(x101303,f2(a897))+~E(f317(f179(f898(x101301)),f317(f317(f154(f898(x101301)),x101302),f690(x101303,x101301,x101302))),x101303)+E(f317(f317(f144(a897,f898(x101301)),f317(f317(f7(a897,f898(a897),f898(x101301)),f317(f317(f8(f906(a897,x101301),f906(f898(a897),f898(x101301)),a897),f144(a897,x101301)),f317(f7(a897,a897,x101301),f317(f317(f8(f898(x101301),f906(a897,x101301),a897),f154(x101301)),f317(f154(f898(x101301)),x101302))))),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(f898(x101301))),x101302))))),f129(a897,f317(f292(a897,f2(a897)),x101303))),f169(x101301,x101302)) % 169.26/169.09 [10131]E(x101311,f103(f898(x101312)))+~E(f317(f179(f898(x101312)),f317(f317(f154(f898(x101312)),x101311),f690(x101313,x101312,x101311))),x101313)+E(f317(f317(f144(a897,f898(x101312)),f317(f317(f7(a897,f898(a897),f898(x101312)),f317(f317(f8(f906(a897,x101312),f906(f898(a897),f898(x101312)),a897),f144(a897,x101312)),f317(f7(a897,a897,x101312),f317(f317(f8(f898(x101312),f906(a897,x101312),a897),f154(x101312)),f317(f154(f898(x101312)),x101311))))),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(f898(x101312))),x101311))))),f129(a897,f317(f292(a897,f2(a897)),x101313))),f169(x101312,x101311)) % 169.26/169.09 [10132]~E(x101323,f2(a897))+E(f317(f317(f144(a897,f898(x101321)),f317(f317(f7(a897,f898(a897),f898(x101321)),f317(f317(f8(f906(a897,x101321),f906(f898(a897),f898(x101321)),a897),f144(a897,x101321)),f317(f7(a897,a897,x101321),f317(f317(f8(f898(x101321),f906(a897,x101321),a897),f154(x101321)),f317(f154(f898(x101321)),x101322))))),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(f898(x101321))),x101322))))),f129(a897,f317(f292(a897,f2(a897)),x101323))),f169(x101321,x101322))+P1(f317(f317(f225(a897),f690(x101323,x101321,x101322)),f317(f179(f898(f898(x101321))),x101322))) % 169.26/169.09 [10133]E(x101331,f103(f898(x101332)))+E(f317(f317(f144(a897,f898(x101332)),f317(f317(f7(a897,f898(a897),f898(x101332)),f317(f317(f8(f906(a897,x101332),f906(f898(a897),f898(x101332)),a897),f144(a897,x101332)),f317(f7(a897,a897,x101332),f317(f317(f8(f898(x101332),f906(a897,x101332),a897),f154(x101332)),f317(f154(f898(x101332)),x101331))))),f129(a897,f317(f292(a897,f2(a897)),f317(f179(f898(f898(x101332))),x101331))))),f129(a897,f317(f292(a897,f2(a897)),x101333))),f169(x101332,x101331))+P1(f317(f317(f225(a897),f690(x101333,x101332,x101331)),f317(f179(f898(f898(x101332))),x101331))) % 169.26/169.09 [7846]E(f317(f317(f74(a897),f317(f94(a897),x78461)),f317(f317(f74(a897),f317(f94(a897),x78462)),x78463)),f317(f317(f74(a897),f317(f94(a897),f317(f317(f74(a1),x78461),x78462))),x78463))+P1(f317(a183,f317(f94(a1),x78461)))+P1(f317(a183,f317(f94(a1),x78462))) % 169.26/169.09 [8609]~P1(f317(f28(x86091),x86092))+~P1(f317(f317(f319(x86091),x86093),x86092))+E(f317(a102,f317(f29(x86091),f317(f317(f23(f906(x86091,a894)),x86092),f317(f317(f299(x86091),x86093),f178(f906(x86091,a894)))))),f317(f29(x86091),x86092)) % 169.26/169.09 [8625]~P1(f317(f28(x86251),x86252))+~P1(f317(f317(f319(x86251),x86253),x86252))+E(f317(f317(f74(a897),f72(a897)),f317(f29(x86251),f317(f317(f23(f906(x86251,a894)),x86252),f317(f317(f299(x86251),x86253),f178(f906(x86251,a894)))))),f317(f29(x86251),x86252)) % 169.26/169.09 [8712]~P4(x87121)+~P1(f317(f28(x87121),x87123))+E(f317(f317(f138(x87121,x87121,f5(x87121)),x87122),f129(x87121,f317(f317(f23(f906(x87121,a894)),x87123),f317(f317(f299(x87121),x87122),f178(f906(x87121,a894)))))),f129(x87121,f317(f317(f299(x87121),x87122),x87123))) % 169.26/169.09 [8878]~P1(f317(f28(x88781),x88783))+~P1(f317(f28(x88781),x88782))+E(f317(f317(f74(a897),f317(f29(x88781),f317(f317(f91(f906(x88781,a894)),x88782),x88783))),f317(f29(x88781),f317(f317(f92(f906(x88781,a894)),x88782),x88783))),f317(f317(f74(a897),f317(f29(x88781),x88782)),f317(f29(x88781),x88783))) % 169.26/169.09 [10079]~P27(x100791,f906(f906(x100791,a894),a894),f317(f317(f7(x100791,f906(f905(x100791,x100791),a894),f906(f906(x100791,a894),a894)),f317(f317(f8(f906(x100791,a894),f906(f906(f905(x100791,x100791),a894),f906(f906(x100791,a894),a894)),x100791),f55(x100791)),f317(f317(f7(x100791,f906(x100791,a894),f906(x100791,a894)),f299(x100791)),f178(f906(x100791,a894))))),x100793),x100792)+~P1(f317(f28(x100791),x100792))+E(f317(f29(f906(x100791,a894)),f317(f317(f55(x100791),x100792),x100793)),f317(f29(x100791),x100792)) % 169.26/169.09 [8115]~P95(x81151)+P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x81153)))+E(f317(f317(f234(x81151),x81152),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x81153),x81153)),a87))),f72(x81151)) % 169.26/169.09 [9598]~P95(x95981)+~P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),x95983)))+E(f317(f317(f234(x95981),x95982),f317(f94(a897),f317(f317(f23(a1),f317(f317(f74(a1),x95983),x95983)),a87))),f317(f317(f80(x95981,x95981),f317(f317(f234(x95981),x95982),f317(f94(a897),x95983))),f317(f317(f18(x95981,x95981,x95981),f317(f317(f8(x95981,f906(x95981,x95981),x95981),f75(x95981)),f317(f75(x95981),x95982))),f5(x95981)))) % 169.26/169.09 [9989]~P1(f317(f127(x99891),x99893))+~P1(f317(f317(f319(x99891),x99892),f317(f162(x99891),x99893)))+E(f317(f317(f128(x99891),f317(f179(f898(x99891)),f167(x99891,f317(f317(f8(a894,a894,x99891),a312),f317(f317(f7(x99891,x99891,a894),a314),x99892)),f317(f158(x99891),x99893)))),f317(f158(x99891),x99893)),f317(f317(f141(x99891),x99892),f317(f158(x99891),f167(x99891,f317(f317(f8(a894,a894,x99891),a312),f317(f317(f7(x99891,x99891,a894),a314),x99892)),x99893)))) % 169.26/169.09 [10049]P1(f317(f317(f224(f906(f905(x100491,x100491),a894)),f297(x100491,x100492)),x100493))+~P1(f317(f317(f224(f906(f905(x100491,x100491),a894)),f297(x100491,f178(f906(f905(x100491,x100491),a894)))),x100493))+~P1(f317(f317(f224(f906(f905(x100491,x100491),a894)),f317(f317(f279(x100491,x100491,x100491),f317(f317(f92(f906(f905(x100491,x100491),a894)),f297(x100491,x100492)),x100493)),x100492)),x100493)) % 169.26/169.09 [9907]~P1(f317(f28(x99071),f317(f252(x99071),x99073)))+~P1(f317(f28(x99071),f317(f252(x99071),x99072)))+P1(f317(f28(x99071),f317(f252(x99071),f317(f317(f18(x99071,a894,a894),f317(f317(f8(a894,f906(a894,a894),x99071),a316),x99072)),x99073)))) % 169.26/169.09 [10195]P1(f317(f317(f224(f906(f905(x101951,x101951),a894)),f317(f317(f279(x101951,x101951,x101951),x101952),f297(x101951,x101952))),x101953))+~P1(f317(f317(f224(f906(f905(x101951,x101951),a894)),x101952),x101953))+~P1(f317(f317(f224(f906(f905(x101951,x101951),a894)),f317(f317(f279(x101951,x101951,x101951),f317(f317(f92(f906(f905(x101951,x101951),a894)),f317(f317(f279(x101951,x101951,x101951),x101952),f297(x101951,x101952))),x101953)),x101952)),x101953)) % 169.26/169.09 [10146]~P111(x101462)+E(x101461,f2(x101462))+~E(f317(f317(f74(x101462),f317(f317(f234(x101462),x101463),f317(f94(a897),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(x101462),x101461),f317(f94(a897),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(x101462)) % 169.26/169.09 [10147]~P111(x101472)+E(x101471,f2(x101472))+~E(f317(f317(f74(x101472),f317(f317(f234(x101472),x101471),f317(f94(a897),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(x101472),x101473),f317(f94(a897),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(x101472)) % 169.26/169.09 [10152]~P1(f317(f127(x101521),x101523))+~P1(f317(f317(f319(x101521),x101522),f317(f162(x101521),x101523)))+E(f317(f158(x101521),f317(f161(x101521),f317(f317(f128(x101521),f317(f179(f898(x101521)),f167(x101521,f317(f317(f8(a894,a894,x101521),a312),f317(f317(f7(x101521,x101521,a894),a314),x101522)),x101523))),x101523))),f167(x101521,f317(f317(f8(a894,a894,x101521),a312),f317(f317(f7(x101521,x101521,a894),a314),x101522)),f317(f158(x101521),x101523))) % 169.26/169.09 [10240]~P111(x102402)+E(x102401,f2(x102402))+P1(f317(f317(f225(x102402),f2(x102402)),f317(f317(f74(x102402),f317(f317(f234(x102402),x102403),f317(f94(a897),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(x102402),x102401),f317(f94(a897),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))))))) % 169.26/169.09 [10241]~P111(x102412)+E(x102411,f2(x102412))+P1(f317(f317(f225(x102412),f2(x102412)),f317(f317(f74(x102412),f317(f317(f234(x102412),x102411),f317(f94(a897),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(x102412),x102413),f317(f94(a897),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))))))) % 169.26/169.09 [10302]~P111(x103021)+P1(f317(f317(f224(x103021),f2(x103021)),x103022))+~P1(f317(f317(f224(x103021),f2(x103021)),f317(f317(f234(x103021),x103022),f317(a102,f317(f317(f75(a897),f317(f94(a897),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)))),x103023))))) % 169.26/169.09 [5027]~E(x50272,f84(x50273,x50271))+P1(f317(x50271,x50272))+~P1(f317(x50271,x50274)) % 169.26/169.09 [5273]E(f62(x52733,x52732,x52734),x52732)+E(x52731,f717(x52732,x52733,x52734))+~P1(f317(x52734,x52731)) % 169.26/169.09 [6617]E(f62(x66171,x66172,x66173),f79(x66171,x66173))+~E(f757(x66172,x66171,x66173,x66174),x66174)+~P1(f317(x66173,x66174)) % 169.26/169.09 [6831]~P39(x68312,x68314)+~P39(x68311,x68313)+P39(f905(x68311,x68312),f309(x68311,x68312,x68313,x68314)) % 169.26/169.09 [6832]~P40(x68322,x68324)+~P40(x68321,x68323)+P40(f905(x68321,x68322),f309(x68321,x68322,x68323,x68324)) % 169.26/169.09 [5213]~P10(x52134,x52131)+~E(f317(x52131,x52132),f317(x52131,x52133))+P1(f317(f317(x52131,x52132),x52133)) % 169.26/169.09 [5372]~P10(x53724,x53721)+E(f317(x53721,x53722),f317(x53721,x53723))+~P1(f317(f317(x53721,x53722),x53723)) % 169.26/169.09 [5373]~P18(x53734,x53731)+E(f317(x53731,x53732),f317(x53731,x53733))+~P1(f317(f317(x53731,x53732),x53733)) % 169.26/169.09 [5467]~P21(x54673,x54674,x54671)+E(f317(x54671,x54672),f317(f57(x54673,x54674),x54672))+~P1(f317(f28(x54673),x54672)) % 169.26/169.09 [5468]~P12(x54683,x54684,x54681)+E(f317(x54681,x54682),f317(f57(x54683,x54684),x54682))+~P1(f317(f28(x54683),x54682)) % 169.26/169.09 [5595]~P10(x55954,x55951)+~P1(f317(f317(x55951,x55953),x55952))+P1(f317(f317(x55951,x55952),x55953)) % 169.26/169.09 [5596]~P53(x55964,x55961)+~P1(f317(f317(x55961,x55963),x55962))+P1(f317(f317(x55961,x55962),x55963)) % 169.26/169.09 [5597]~P18(x55974,x55971)+~P1(f317(f317(x55971,x55973),x55972))+P1(f317(f317(x55971,x55972),x55973)) % 169.26/169.09 [5598]~P18(x55983,x55981)+P1(f317(f317(x55981,x55982),x55982))+~P1(f317(f317(x55981,x55984),x55982)) % 169.26/169.09 [5599]~P18(x55993,x55991)+P1(f317(f317(x55991,x55992),x55992))+~P1(f317(f317(x55991,x55992),x55994)) % 169.26/169.09 [5669]E(x56691,x56692)+~E(f317(f241(x56693,x56694),x56691),f317(f241(x56693,x56694),x56692))+~E(f317(f246(x56693,x56694),x56691),f317(f246(x56693,x56694),x56692)) % 169.26/169.09 [5697]E(x56971,x56972)+~P1(f317(f43(x56973,x56974),x56972))+~P1(f317(f43(x56973,x56974),x56971)) % 169.26/169.09 [5897]~P76(x58972)+E(f221(x58971,x58972,x58973,x58974),f2(x58972))+P1(f317(f28(x58971),x58974)) % 169.26/169.09 [5945]~P10(x59453,x59452)+~P1(f317(x59451,x59454))+P1(f317(x59451,f800(x59451,x59452,x59453))) % 169.26/169.09 [6043]~P1(f317(f305(x60431,x60432),x60434))+P1(f317(f305(x60431,x60432),x60433))+~P1(f317(f317(x60432,x60433),x60434)) % 169.26/169.09 [6868]~P31(x68681,x68683,x68684)+P1(f317(x68681,x68682))+~P1(f317(f317(f319(a1),x68682),f293(a1,x68683,x68684))) % 169.26/169.09 [7064]~P10(x70641,x70643)+~P1(f317(x70642,x70644))+P1(f317(f317(f319(x70641),f800(x70642,x70643,x70641)),f260(x70641,x70643))) % 169.26/169.09 [7956]E(x79561,f2(a897))+~P1(f317(x79562,x79563))+P1(f317(x79562,f750(x79562,x79563,x79561,x79564))) % 169.26/169.09 [8038]~P4(x80382)+~P1(f317(f127(x80381),x80384))+P1(f317(f127(x80381),f140(x80381,x80382,x80383,x80384))) % 169.26/169.09 [8082]E(f62(x80821,x80822,x80823),f79(x80821,x80823))+~P1(f317(x80823,x80824))+P1(f317(x80823,f757(x80822,x80821,x80823,x80824))) % 169.26/169.09 [8264]~P1(f317(f28(x82642),x82644))+~P1(f317(f28(x82641),x82643))+P1(f317(f28(f904(x82641,x82642)),f303(x82641,x82642,x82643,x82644))) % 169.26/169.09 [8265]~P1(f317(f127(x82652),x82654))+~P1(f317(f127(x82651),x82653))+P1(f317(f127(f905(x82651,x82652)),f54(x82651,x82652,x82653,x82654))) % 169.26/169.09 [8268]P1(f317(f317(f319(f898(x82681)),f317(f317(f124(x82681),x82682),x82683)),f151(x82681,x82684)))+~P1(f317(f317(f319(f898(x82681)),x82683),f151(x82681,x82684)))+~P1(f317(f317(f319(f898(x82681)),x82682),f151(x82681,x82684))) % 169.26/169.09 [8547]E(x85471,f2(a897))+P1(f317(x85472,x85473))+~P1(f317(x85472,f751(x85472,x85473,x85471,x85474))) % 169.26/169.09 [8584]~P4(x85843)+~P1(f317(f127(x85841),f140(x85841,x85843,x85844,x85842)))+P1(f317(f127(x85841),x85842)) % 169.26/169.09 [8867]~P1(f317(f317(f319(f905(x88671,x88671)),f317(f317(f242(x88671,x88671),x88672),x88674)),f297(x88671,x88673)))+P1(f317(f317(f319(x88671),x88672),f306(x88671,x88673)))+~P1(f317(f317(f319(x88671),x88674),f306(x88671,x88673))) % 169.26/169.09 [5197]~P79(x51972)+E(f317(f317(f9(x51971,x51972),x51973),x51974),f72(x51972))+P1(f317(f28(x51971),x51974)) % 169.26/169.09 [5200]~P76(x52002)+E(f317(f317(f6(x52001,x52002),x52003),x52004),f2(x52002))+P1(f317(f28(x52001),x52004)) % 169.26/169.09 [5335]~P71(x53353)+E(x53351,x53352)+~E(f317(f317(f74(x53353),x53354),x53351),f317(f317(f74(x53353),x53354),x53352)) % 169.26/169.09 [5336]~P72(x53363)+E(x53361,x53362)+~E(f317(f317(f74(x53363),x53364),x53361),f317(f317(f74(x53363),x53364),x53362)) % 169.26/169.09 [5338]~P71(x53383)+E(x53381,x53382)+~E(f317(f317(f74(x53383),x53381),x53384),f317(f317(f74(x53383),x53382),x53384)) % 169.26/169.09 [5434]~P121(x54341)+~E(x54343,f317(f317(f75(x54341),x54342),x54344))+P1(f317(f317(f277(x54341),x54342),x54343)) % 169.26/169.09 [5462]~P8(x54623)+E(x54621,f178(f906(x54622,a894)))+E(f317(f317(f34(x54622,x54623),x54621),f317(f16(x54623,x54622),x54624)),x54624) % 169.26/169.09 [5463]~P8(x54633)+E(x54631,f178(f906(x54632,a894)))+E(f317(f317(f35(x54632,x54633),x54631),f317(f16(x54633,x54632),x54634)),x54634) % 169.26/169.09 [5683]~P109(x56833)+E(x56831,x56832)+~E(f293(x56833,x56834,x56831),f317(f317(f299(x56833),x56832),f178(f906(x56833,a894)))) % 169.26/169.09 [5684]~P109(x56843)+E(x56841,x56842)+~E(f293(x56843,x56841,x56842),f317(f317(f299(x56843),x56844),f178(f906(x56843,a894)))) % 169.26/169.09 [5744]~P37(x57443,x57441,x57444)+P37(x57443,x57441,f317(f317(f141(x57443),x57442),x57444))+P1(f317(x57441,x57442)) % 169.26/169.09 [5846]~P33(x58461,x58462,x58464)+~P1(f317(x58462,x58463))+P33(x58461,x58462,f317(f317(f141(x58461),x58463),x58464)) % 169.26/169.09 [5998]P1(f317(x59981,x59982))+~P1(f317(f238(x59983,x59981),x59984))+~P1(f317(f317(f319(x59983),x59982),x59984)) % 169.26/169.09 [6007]~P33(x60071,x60072,x60074)+~P33(x60071,x60072,x60073)+P33(x60071,x60072,f317(f317(f124(x60071),x60073),x60074)) % 169.26/169.09 [6022]P35(x60221,x60222,x60223)+~P35(x60221,x60222,f317(f317(f141(x60221),x60224),x60223))+P1(f317(x60222,x60224)) % 169.26/169.09 [6023]P37(x60231,x60232,x60233)+~P37(x60231,x60232,f317(f317(f141(x60231),x60234),x60233))+P1(f317(x60232,x60234)) % 169.26/169.09 [6098]P35(x60981,x60982,x60983)+P35(x60981,x60982,x60984)+~P35(x60981,x60982,f317(f317(f124(x60981),x60984),x60983)) % 169.26/169.09 [6119]~P76(x61191)+E(f317(f317(f6(a897,x61191),x61192),f317(f292(a897,x61193),f317(a102,x61194))),f2(x61191))+~P1(f317(f317(f225(a897),x61194),x61193)) % 169.26/169.09 [6124]~P7(x61241)+~E(f40(x61241,x61242,x61243),f40(x61241,x61244,x61243))+E(f40(x61241,f317(f73(x61241),x61242),x61243),f40(x61241,f317(f73(x61241),x61244),x61243)) % 169.26/169.09 [6192]P1(f317(x61921,x61922))+~E(f317(f126(x61923,x61921),x61924),x61924)+~P1(f317(f317(f319(x61923),x61922),f317(f162(x61923),x61924))) % 169.26/169.09 [6212]~E(f317(f317(f74(a897),x62123),x62122),f317(f317(f74(a897),x62121),x62124))+~P1(f317(f317(f225(a897),x62123),x62124))+P1(f317(f317(f225(a897),x62121),x62122)) % 169.26/169.09 [6218]P35(x62181,x62182,x62183)+~P1(f317(x62182,x62184))+~P1(f317(f317(f319(x62181),x62184),f317(f162(x62181),x62183))) % 169.26/169.09 [6221]~P6(x62211)+E(f40(x62211,f40(x62211,x62212,x62213),x62214),f40(x62211,x62212,x62214))+~P1(f317(f317(f277(x62211),x62214),x62213)) % 169.26/169.09 [6261]~P33(x62613,x62611,x62614)+P1(f317(x62611,x62612))+~P1(f317(f317(f319(x62613),x62612),f317(f162(x62613),x62614))) % 169.26/169.09 [6263]~E(f317(f126(x62631,x62632),x62633),f103(x62631))+~P1(f317(x62632,x62634))+~P1(f317(f317(f319(x62631),x62634),f317(f162(x62631),x62633))) % 169.26/169.09 [6264]~E(f167(x62643,x62641,x62644),x62644)+P1(f317(x62641,x62642))+~P1(f317(f317(f319(x62643),x62642),f317(f162(x62643),x62644))) % 169.26/169.09 [6292]~E(x62924,f178(f906(x62922,a894)))+~E(x62923,f178(f906(x62921,a894)))+E(f303(x62921,x62922,x62923,x62924),f178(f906(f904(x62921,x62922),a894))) % 169.26/169.09 [6444]P1(f317(x64441,x64442))+~P1(f317(f150(x64443,x64441),x64444))+~P1(f317(f317(f319(x64443),x64442),f317(f162(x64443),x64444))) % 169.26/169.09 [6586]~P32(x65861,x65863,x65864)+P1(f317(x65861,x65862))+~P1(f317(f317(f319(a897),x65862),f317(f292(a897,x65863),x65864))) % 169.26/169.09 [6725]~P76(x67251)+E(f317(f317(f6(a897,x67251),x67252),f293(a897,x67253,f317(a102,x67254))),f2(x67251))+~P1(f317(f317(f225(a897),f317(a102,x67254)),x67253)) % 169.26/169.09 [6871]~P4(x68711)+E(f317(f317(f23(f906(x68711,a894)),f317(f292(x68711,x68712),x68713)),f317(f292(x68711,x68712),x68714)),f317(f292(x68711,x68714),x68713))+~P1(f317(f317(f224(x68711),x68712),x68714)) % 169.26/169.09 [6942]~E(x69423,x69424)+E(x69421,f2(a897))+P1(f317(f317(f319(x69422),x69423),f317(f162(x69422),f159(x69422,x69421,x69424)))) % 169.26/169.09 [7227]~P1(f317(f317(f319(f898(x72271)),x72274),f151(x72271,x72273)))+P1(f317(f317(f319(x72271),x72272),x72273))+~P1(f317(f317(f319(x72271),x72272),f317(f162(x72271),x72274))) % 169.26/169.09 [7234]~P39(x72341,x72342)+P1(f317(f317(f319(x72341),f612(x72342,x72341,x72343)),x72343))+~P1(f317(f317(f319(x72341),x72344),x72343)) % 169.26/169.09 [7291]~P79(x72911)+E(f317(f317(f317(f59(x72911,x72912,f75(x72911)),x72913),f72(x72911)),x72914),f317(f317(f9(x72912,x72911),x72913),x72914))+~P1(f317(f28(x72912),x72914)) % 169.26/169.09 [7293]~P76(x72931)+E(f317(f317(f317(f59(x72931,x72932,f74(x72931)),x72933),f2(x72931)),x72934),f317(f317(f6(x72932,x72931),x72933),x72934))+~P1(f317(f28(x72932),x72934)) % 169.26/169.09 [7320]P27(x73201,x73202,x73203,x73204)+~E(f317(f29(x73202),f317(f300(x73201,x73202,x73203),x73204)),f317(f29(x73201),x73204))+~P1(f317(f28(x73201),x73204)) % 169.26/169.09 [7514]~P76(x75141)+E(f317(f317(f74(x75141),f317(x75142,x75143)),f317(f317(f6(a897,x75141),x75142),f295(a897,x75143,x75144))),f317(f317(f6(a897,x75141),x75142),f293(a897,x75143,x75144)))+~P1(f317(f317(f224(a897),x75143),x75144)) % 169.26/169.09 [7523]~P79(x75231)+~P27(x75232,x75231,x75233,x75234)+E(f317(f317(f9(x75231,x75231),f25(x75231)),f317(f300(x75232,x75231,x75233),x75234)),f317(f317(f9(x75232,x75231),x75233),x75234)) % 169.26/169.09 [7524]~P76(x75241)+~P27(x75242,x75241,x75243,x75244)+E(f317(f317(f6(x75241,x75241),f25(x75241)),f317(f300(x75242,x75241,x75243),x75244)),f317(f317(f6(x75242,x75241),x75243),x75244)) % 169.26/169.09 [7572]E(f317(f29(f904(x75721,x75722)),f303(x75721,x75722,x75723,x75724)),f317(f317(f74(a897),f317(f29(x75721),x75723)),f317(f29(x75722),x75724)))+~P1(f317(f28(x75722),x75724))+~P1(f317(f28(x75721),x75723)) % 169.26/169.09 [7656]E(x76561,x76562)+P1(f317(f317(f319(x76563),x76561),f317(f162(x76563),f160(x76563,x76562,x76564))))+~P1(f317(f317(f319(x76563),x76561),f317(f162(x76563),x76564))) % 169.26/169.09 [7886]~P76(x78861)+E(f317(f317(f74(x78861),f317(f317(f6(a897,x78861),x78862),f317(f292(a897,x78863),x78864))),f317(x78862,x78864)),f317(f317(f6(a897,x78861),x78862),f317(f292(a897,x78863),f317(a102,x78864))))+P1(f317(f317(f225(a897),x78864),x78863)) % 169.26/169.09 [7936]~P27(x79361,x79362,x79363,f232(f906(x79361,a894)))+~P1(f317(f28(x79362),x79364))+P1(f317(f28(x79361),f317(f301(x79361,x79362,x79363),x79364))) % 169.26/169.09 [8053]P1(f317(f317(f319(f898(x80531)),f317(f317(f141(x80531),x80532),x80533)),f151(x80531,x80534)))+~P1(f317(f317(f319(f898(x80531)),x80533),f151(x80531,x80534)))+~P1(f317(f317(f319(x80531),x80532),x80534)) % 169.26/169.09 [8139]~E(f317(f300(x81393,x81391,x81394),f232(f906(x81393,a894))),f232(f906(x81391,a894)))+P1(f317(f28(x81391),x81392))+~P1(f317(f28(x81393),f317(f301(x81393,x81391,x81394),x81392))) % 169.26/169.09 [8234]~P27(x82341,x82343,x82344,x82342)+P1(f317(f28(x82341),x82342))+~P1(f317(f28(x82343),f317(f300(x82341,x82343,x82344),x82342))) % 169.26/169.09 [8258]~E(x82582,x82583)+P1(f317(f317(f319(f905(x82581,x82581)),f317(f317(f242(x82581,x82581),x82582),x82583)),f253(x82581,x82584)))+~P1(f317(f317(f319(x82581),x82582),x82584)) % 169.26/169.09 [8291]~P76(x82911)+E(f317(f317(f74(x82911),f317(f317(f6(a897,x82911),x82912),f293(a897,x82913,x82914))),f317(x82912,f317(a102,x82914))),f317(f317(f6(a897,x82911),x82912),f293(a897,x82913,f317(a102,x82914))))+P1(f317(f317(f225(a897),f317(a102,x82914)),x82913)) % 169.26/169.09 [8351]P1(f317(x83511,x83512))+~P1(f317(x83511,f317(f317(f154(x83513),x83514),f641(x83511,x83514,x83513))))+~P1(f317(f317(f319(x83513),x83512),f317(f162(x83513),x83514))) % 169.26/169.09 [8492]~P1(f317(f317(f319(x84921),x84922),f306(x84921,x84924)))+P1(f317(f317(f319(f898(x84921)),f317(f317(f141(x84921),x84922),x84923)),f306(f898(x84921),f147(x84921,x84924))))+~P1(f317(f317(f319(f898(x84921)),x84923),f306(f898(x84921),f147(x84921,x84924)))) % 169.26/169.09 [8507]~P27(x85072,x85073,x85074,f603(x85074,x85073,x85072,x85071))+P27(x85072,x85073,x85074,f32(f906(x85072,a894),x85071))+E(x85071,f178(f906(f906(x85072,a894),a894))) % 169.26/169.09 [8776]E(x87761,x87762)+~P1(f317(f317(f319(f905(x87763,x87763)),f317(f317(f242(x87763,x87763),x87761),x87762)),f297(x87763,x87764)))+P1(f317(f317(f319(x87763),x87761),f317(f254(x87763,x87763),x87764))) % 169.26/169.09 [9054]E(x90541,f2(a897))+P1(f317(x90542,x90543))+P1(f317(f317(f319(x90544),f751(x90542,x90543,x90541,x90544)),f317(f162(x90544),f159(x90544,x90541,x90543)))) % 169.26/169.09 [9066]E(x90661,f2(a897))+~P1(f317(x90663,x90664))+P1(f317(f317(f319(x90662),f750(x90663,x90664,x90661,x90662)),f317(f162(x90662),f159(x90662,x90661,x90664)))) % 169.26/169.09 [9068]~P28(x90681,x90682,x90683,f232(f906(x90681,a894)),f232(f906(x90682,a894)))+~P1(f317(f28(x90682),x90684))+P1(f317(f28(x90681),f317(f301(x90681,x90682,x90683),x90684))) % 169.26/169.09 [9071]P27(x90712,x90713,x90714,f32(f906(x90712,a894),x90711))+E(x90711,f178(f906(f906(x90712,a894),a894)))+P1(f317(f317(f319(f906(x90712,a894)),f603(x90714,x90713,x90712,x90711)),x90711)) % 169.26/169.09 [9187]~P28(x91873,x91871,x91874,f232(f906(x91873,a894)),f232(f906(x91871,a894)))+P1(f317(f28(x91871),x91872))+~P1(f317(f28(x91873),f317(f301(x91873,x91871,x91874),x91872))) % 169.26/169.09 [9204]P1(f317(f28(x92041),x92042))+~P1(f317(f28(x92044),f317(f300(x92041,x92044,x92043),x92042)))+P1(f317(f317(f319(x92041),f502(x92043,x92044,x92042,x92041)),x92042)) % 169.26/169.09 [9299]~P8(x92992)+E(f317(f317(f58(x92991,x92992,f317(f317(f8(x92992,f906(x92992,x92992),x92991),f91(x92992)),x92993)),f178(x92992)),x92994),f317(f317(f34(x92991,x92992),x92994),x92993))+~P1(f317(f28(x92991),x92994)) % 169.26/169.09 [9300]~P8(x93002)+E(f317(f317(f58(x93001,x93002,f317(f317(f8(x93002,f906(x93002,x93002),x93001),f92(x93002)),x93003)),f232(x93002)),x93004),f317(f317(f35(x93001,x93002),x93004),x93003))+~P1(f317(f28(x93001),x93004)) % 169.26/169.09 [9330]~P1(f317(f317(f277(a897),x93303),x93304))+P1(f317(f317(f277(a897),x93301),x93302))+P1(f317(f317(f225(f906(a897,a894)),f280(a897,f277(a897),x93301,x93302)),f280(a897,f277(a897),x93303,x93304))) % 169.26/169.09 [9343]~P1(f317(f317(f277(a897),x93432),x93434))+~P1(f317(f317(f277(a897),x93433),x93431))+P1(f317(f317(f224(f906(a897,a894)),f280(a897,f277(a897),x93431,x93432)),f280(a897,f277(a897),x93433,x93434))) % 169.26/169.09 [9387]P1(f317(x93871,x93872))+~P1(f317(x93871,f317(f317(f154(x93873),x93874),f676(x93872,x93871,x93874,x93873))))+~P1(f317(f317(f319(x93873),x93872),f317(f162(x93873),x93874))) % 169.26/169.09 [9409]E(x94091,x94092)+~P1(f317(f317(f319(f905(x94093,x94093)),f317(f317(f242(x94093,x94093),x94091),x94092)),f297(x94093,x94094)))+P1(f317(f317(f319(f905(x94093,x94093)),f317(f317(f242(x94093,x94093),x94091),x94092)),f317(f317(f279(x94093,x94093,x94093),x94094),f297(x94093,x94094)))) % 169.26/169.09 [9459]~E(f317(f179(f898(x94591)),x94592),f317(f179(f898(x94591)),x94593))+~P1(f317(f317(f319(f905(f898(x94591),f898(x94591))),f317(f317(f242(f898(x94591),f898(x94591)),x94592),x94593)),f137(x94591,x94594)))+P1(f317(f317(f319(f905(f898(x94591),f898(x94591))),f317(f317(f242(f898(x94591),f898(x94591)),x94592),x94593)),f135(x94591,x94594))) % 169.26/169.09 [9582]P1(f317(f317(f277(a897),x95821),x95822))+~P1(f317(f317(f277(a897),x95823),x95821))+~P1(f317(f317(f224(f906(a897,a894)),f280(a897,f277(a897),x95823,x95821)),f280(a897,f277(a897),x95824,x95822))) % 169.26/169.09 [9583]P1(f317(f317(f277(a897),x95831),x95832))+~P1(f317(f317(f277(a897),x95833),x95831))+~P1(f317(f317(f225(f906(a897,a894)),f280(a897,f277(a897),x95833,x95831)),f280(a897,f277(a897),x95834,x95832))) % 169.26/169.09 [9584]P1(f317(f317(f277(a897),x95841),x95842))+~P1(f317(f317(f277(a897),x95842),x95843))+~P1(f317(f317(f224(f906(a897,a894)),f280(a897,f277(a897),x95842,x95843)),f280(a897,f277(a897),x95841,x95844))) % 169.26/169.09 [9585]P1(f317(f317(f277(a897),x95851),x95852))+~P1(f317(f317(f277(a897),x95852),x95853))+~P1(f317(f317(f225(f906(a897,a894)),f280(a897,f277(a897),x95852,x95853)),f280(a897,f277(a897),x95851,x95854))) % 169.26/169.09 [9705]P33(x97051,f317(f317(f18(x97051,a894,a894),f317(f317(f8(a894,f906(a894,a894),x97051),a316),f317(f317(f8(a894,a894,x97051),a312),x97052))),f317(a314,x97053)),x97054)+~P1(f317(x97052,x97053))+~P37(x97051,x97052,f317(f317(f141(x97051),x97053),x97054)) % 169.26/169.09 [9870]~P33(x98701,f317(f317(f18(x98701,a894,a894),f317(f317(f8(a894,f906(a894,a894),x98701),a316),f317(f317(f8(a894,a894,x98701),a312),x98702))),f317(a314,x98703)),x98704)+~P1(f317(x98702,x98703))+P37(x98701,x98702,f317(f317(f141(x98701),x98703),x98704)) % 169.26/169.09 [9874]~P37(x98741,x98742,x98744)+~P33(x98741,f317(f317(f18(x98741,a894,a894),f317(f317(f8(a894,f906(a894,a894),x98741),a316),f317(f317(f8(a894,a894,x98741),a312),x98742))),f317(a314,x98743)),x98744)+P37(x98741,x98742,f317(f317(f141(x98741),x98743),x98744)) % 169.26/169.09 [9908]~P70(x99081)+E(f317(f317(f6(a897,x99081),f317(f317(f18(a897,x99081,x99081),f317(f317(f8(x99081,f906(x99081,x99081),a897),f23(x99081)),x99082)),f317(f317(f8(a897,x99081,a897),x99082),f317(f317(f7(a897,a897,a897),f74(a897)),f72(a897))))),f293(a897,x99083,x99084)),f2(x99081))+P1(f317(f317(f224(a897),x99083),x99084)) % 169.26/169.09 [10145]~P39(x101452,x101454)+~P27(x101452,x101451,x101453,f232(f906(x101452,a894)))+P39(x101451,f317(f300(f905(x101452,x101452),f905(x101451,x101451),f248(x101452,x101451,x101452,x101451,x101453,x101453)),x101454)) % 169.26/169.09 [10337]~E(f317(f179(f898(x103371)),x103373),f317(f179(f898(x103371)),x103372))+P1(f317(f317(f319(f905(f898(x103371),f898(x103371))),f317(f317(f242(f898(x103371),f898(x103371)),x103372),x103373)),f148(x103371,x103374)))+~P1(f317(f317(f247(x103371,x103371,a894),f317(f317(f7(x103371,f906(f905(x103371,x103371),a894),f906(x103371,a894)),f317(f317(f8(f906(x103371,f906(f906(f905(x103371,x103371),a894),a894)),f906(f906(f905(x103371,x103371),a894),f906(x103371,a894)),x103371),f7(x103371,f906(f905(x103371,x103371),a894),a894)),f317(f317(f8(f906(x103371,f905(x103371,x103371)),f906(x103371,f906(f906(f905(x103371,x103371),a894),a894)),x103371),f317(f8(f905(x103371,x103371),f906(f906(f905(x103371,x103371),a894),a894),x103371),f319(f905(x103371,x103371)))),f242(x103371,x103371)))),x103374)),f642(x103374,x103373,x103372,x103371))) % 169.26/169.09 [6173]~P6(x61731)+~E(x61732,f2(x61731))+E(f317(f317(f30(x61731),f317(f317(f75(x61731),x61732),x61733)),f317(f317(f75(x61731),x61732),x61734)),f2(x61731)) % 169.26/169.09 [6215]E(x62151,f103(x62152))+E(x62153,f317(f317(f23(a897),f317(f179(f898(x62152)),x62151)),f72(a897)))+E(f134(x62152,f317(f317(f149(x62152,x62151),x62153),x62154)),f134(x62152,x62151)) % 169.26/169.09 [6252]E(x62521,x62522)+P1(f317(x62523,x62522))+~P1(f317(f317(f317(f299(x62524),x62521),x62523),x62522)) % 169.26/169.09 [6268]~P76(x62681)+~P1(f317(f127(x62682),x62684))+E(f317(f155(x62681),f317(f317(f144(x62682,x62681),x62683),x62684)),f317(f317(f6(x62682,x62681),x62683),f317(f162(x62682),x62684))) % 169.26/169.09 [6285]~P79(x62852)+~P1(f317(f28(x62851),x62854))+E(f317(f317(f9(x62851,x62852),f317(f16(x62852,x62851),x62853)),x62854),f317(f317(f234(x62852),x62853),f317(f29(x62851),x62854))) % 169.26/169.09 [6340]~P6(x63402)+E(x63401,f2(x63402))+E(f317(f317(f30(x63402),f317(f317(f75(x63402),x63403),x63401)),f317(f317(f75(x63402),x63404),x63401)),f317(f317(f30(x63402),x63403),x63404)) % 169.26/169.09 [6342]~P64(x63422)+E(x63421,f2(x63422))+E(f317(f317(f281(x63422),f317(f317(f75(x63422),x63423),x63421)),f317(f317(f75(x63422),x63424),x63421)),f317(f317(f281(x63422),x63423),x63424)) % 169.26/169.09 [6343]~P64(x63432)+E(x63431,f2(x63432))+E(f317(f317(f281(x63432),f317(f317(f75(x63432),x63431),x63433)),f317(f317(f75(x63432),x63431),x63434)),f317(f317(f281(x63432),x63433),x63434)) % 169.26/169.09 [6344]~P6(x63442)+E(x63441,f2(x63442))+E(f317(f317(f30(x63442),f317(f317(f75(x63442),x63441),x63443)),f317(f317(f75(x63442),x63441),x63444)),f317(f317(f30(x63442),x63443),x63444)) % 169.26/169.09 [6413]P1(f317(x64131,x64132))+~E(x64133,f317(f317(f74(a897),x64134),x64132))+~P1(f317(x64131,f317(f317(f23(a897),x64133),x64134))) % 169.26/169.09 [6499]~P1(f317(x64992,x64993))+~P1(f317(f150(x64991,x64992),x64994))+P1(f317(f150(x64991,x64992),f317(f317(f141(x64991),x64993),x64994))) % 169.26/169.09 [6540]E(x65401,f103(x65402))+~E(x65403,f317(f317(f23(a897),f317(f179(f898(x65402)),x65401)),f72(a897)))+E(f134(x65402,f317(f317(f149(x65402,x65401),x65403),x65404)),x65404) % 169.26/169.09 [6564]~P4(x65641)+~P1(f317(f317(f224(x65641),x65642),x65644))+P1(f317(f317(f224(x65641),x65642),f317(f317(f223(x65641),x65643),x65644))) % 169.26/169.09 [6566]~P4(x65661)+~P1(f317(f317(f224(x65661),x65662),x65663))+P1(f317(f317(f224(x65661),x65662),f317(f317(f223(x65661),x65663),x65664))) % 169.26/169.09 [6567]~P100(x65671)+~P1(f317(f317(f224(x65671),x65672),x65674))+P1(f317(f317(f224(x65671),x65672),f317(f317(f91(x65671),x65673),x65674))) % 169.26/169.09 [6568]~P100(x65681)+~P1(f317(f317(f224(x65681),x65682),x65683))+P1(f317(f317(f224(x65681),x65682),f317(f317(f91(x65681),x65683),x65684))) % 169.26/169.09 [6570]~P4(x65701)+~P1(f317(f317(f225(x65701),x65702),x65704))+P1(f317(f317(f225(x65701),x65702),f317(f317(f223(x65701),x65703),x65704))) % 169.26/169.09 [6572]~P4(x65721)+~P1(f317(f317(f225(x65721),x65722),x65723))+P1(f317(f317(f225(x65721),x65722),f317(f317(f223(x65721),x65723),x65724))) % 169.26/169.09 [6573]~P100(x65731)+~P1(f317(f317(f225(x65731),x65732),x65734))+P1(f317(f317(f225(x65731),x65732),f317(f317(f91(x65731),x65733),x65734))) % 169.26/169.09 [6574]~P100(x65741)+~P1(f317(f317(f225(x65741),x65742),x65743))+P1(f317(f317(f225(x65741),x65742),f317(f317(f91(x65741),x65743),x65744))) % 169.26/169.09 [6575]~P112(x65751)+~P1(f317(f317(f277(x65751),x65752),x65754))+P1(f317(f317(f277(x65751),x65752),f317(f317(f75(x65751),x65753),x65754))) % 169.26/169.09 [6576]~P112(x65761)+~P1(f317(f317(f277(x65761),x65762),x65763))+P1(f317(f317(f277(x65761),x65762),f317(f317(f75(x65761),x65763),x65764))) % 169.26/169.09 [6669]~E(f317(f317(f154(x66691),x66692),x66693),x66694)+E(f317(f317(f149(x66691,x66692),x66693),x66694),x66692)+~P1(f317(f317(f225(a897),x66693),f317(f179(f898(x66691)),x66692))) % 169.26/169.09 [6709]P1(f317(x67091,x67092))+~P1(f317(x67093,x67092))+~P1(f317(f317(f224(f906(x67094,a894)),x67093),x67091)) % 169.26/169.09 [6744]~E(f317(f317(f149(x67441,x67442),x67443),x67444),x67442)+E(f317(f317(f154(x67441),x67442),x67443),x67444)+~P1(f317(f317(f225(a897),x67443),f317(f179(f898(x67441)),x67442))) % 169.26/169.09 [6758]~P1(f317(f150(x67581,x67582),x67584))+~P1(f317(f150(x67581,x67582),x67583))+P1(f317(f150(x67581,x67582),f317(f317(f124(x67581),x67583),x67584))) % 169.26/169.09 [6867]E(x68671,f178(f906(x68672,a894)))+E(x68673,f178(f906(x68674,a894)))+~E(f317(f317(f244(x68674,x68672),x68673),f317(f16(f906(x68672,a894),x68674),x68671)),f178(f906(f905(x68674,x68672),a894))) % 169.26/169.09 [6887]E(x68871,x68872)+P1(f317(f317(f319(x68873),x68871),x68874))+~P1(f317(f317(f319(x68873),x68871),f317(f317(f299(x68873),x68872),x68874))) % 169.26/169.09 [6904]~P4(x69041)+P1(f317(f317(f224(x69041),x69042),x69043))+~P1(f317(f317(f224(x69041),x69042),f317(f317(f228(x69041),x69044),x69043))) % 169.26/169.09 [6906]~P4(x69061)+P1(f317(f317(f224(x69061),x69062),x69063))+~P1(f317(f317(f224(x69061),x69062),f317(f317(f228(x69061),x69063),x69064))) % 169.26/169.09 [6908]~P106(x69081)+P1(f317(f317(f224(x69081),x69082),x69083))+~P1(f317(f317(f224(x69081),x69082),f317(f317(f92(x69081),x69084),x69083))) % 169.26/169.09 [6910]~P106(x69101)+P1(f317(f317(f224(x69101),x69102),x69103))+~P1(f317(f317(f224(x69101),x69102),f317(f317(f92(x69101),x69103),x69104))) % 169.26/169.09 [6911]~P4(x69111)+P1(f317(f317(f225(x69111),x69112),x69113))+~P1(f317(f317(f225(x69111),x69112),f317(f317(f228(x69111),x69114),x69113))) % 169.26/169.09 [6912]~P4(x69121)+P1(f317(f317(f225(x69121),x69122),x69123))+~P1(f317(f317(f225(x69121),x69122),f317(f317(f228(x69121),x69123),x69124))) % 169.26/169.09 [6933]~E(f317(f317(f154(x69331),x69333),x69334),x69332)+P1(f317(f317(f319(x69331),x69332),f317(f162(x69331),x69333)))+~P1(f317(f317(f225(a897),x69334),f317(f179(f898(x69331)),x69333))) % 169.26/169.09 [6943]~P4(x69431)+~P16(x69431,f317(f317(f141(x69431),x69432),f317(f317(f141(x69431),x69433),x69434)))+P1(f317(f317(f224(x69431),x69432),x69433)) % 169.26/169.09 [7092]~P33(x70922,x70921,x70923)+P1(f317(x70921,f317(f317(f154(x70922),x70923),x70924)))+~P1(f317(f317(f225(a897),x70924),f317(f179(f898(x70922)),x70923))) % 169.26/169.09 [7110]E(x71101,f2(a1))+E(f317(f317(f30(a1),x71102),x71101),x71103)+~P1(f317(f44(x71102,x71101),f317(f317(f242(a1,a1),x71103),x71104))) % 169.26/169.09 [7132]E(f40(a1,x71322,x71321),x71323)+E(x71321,f2(a1))+~P1(f317(f44(x71322,x71321),f317(f317(f242(a1,a1),x71324),x71323))) % 169.26/169.09 [7251]P1(f317(f317(f319(x72511),x72512),x72513))+~P1(f317(f317(f319(x72511),x72512),x72514))+~P1(f317(f317(f225(f906(x72511,a894)),x72514),x72513)) % 169.26/169.09 [7252]P1(f317(f317(f319(x72521),x72522),x72523))+~P1(f317(f317(f319(x72521),x72522),x72524))+~P1(f317(f317(f224(f906(x72521,a894)),x72524),x72523)) % 169.26/169.09 [7263]~P120(x72631)+~E(x72633,f2(x72631))+P1(f317(f317(f277(x72631),f317(f317(f75(x72631),x72632),x72633)),f317(f317(f75(x72631),x72634),x72633))) % 169.26/169.09 [7264]~P120(x72641)+~E(x72642,f2(x72641))+P1(f317(f317(f277(x72641),f317(f317(f75(x72641),x72642),x72643)),f317(f317(f75(x72641),x72642),x72644))) % 169.26/169.09 [7364]P35(x73641,x73642,x73643)+~P1(f317(x73642,f317(f317(f154(x73641),x73643),x73644)))+~P1(f317(f317(f225(a897),x73644),f317(f179(f898(x73641)),x73643))) % 169.26/169.09 [7479]~P3(x74792)+~P1(f317(f317(f225(f906(x74791,x74792)),x74793),x74794))+P1(f317(f317(f224(f906(x74791,x74792)),x74793),x74794)) % 169.26/169.09 [7603]~P1(f317(f317(f319(x76031),x76032),x76034))+P1(f317(f317(f319(x76031),x76032),f31(f906(x76031,a894),x76033)))+~P1(f317(f317(f319(f906(x76031,a894)),x76034),x76033)) % 169.26/169.09 [7605]~P112(x76051)+~P1(f317(f317(f224(a897),x76053),x76054))+P1(f317(f317(f277(x76051),f317(f317(f234(x76051),x76052),x76053)),f317(f317(f234(x76051),x76052),x76054))) % 169.26/169.09 [7633]~P87(x76331)+~P1(f317(f317(f224(x76331),x76333),x76334))+P1(f317(f317(f224(x76331),f317(f317(f74(x76331),x76332),x76333)),f317(f317(f74(x76331),x76332),x76334))) % 169.26/169.09 [7634]~P88(x76341)+~P1(f317(f317(f224(x76341),x76343),x76344))+P1(f317(f317(f224(x76341),f317(f317(f74(x76341),x76342),x76343)),f317(f317(f74(x76341),x76342),x76344))) % 169.26/169.09 [7635]~P87(x76351)+~P1(f317(f317(f224(x76351),x76352),x76354))+P1(f317(f317(f224(x76351),f317(f317(f74(x76351),x76352),x76353)),f317(f317(f74(x76351),x76354),x76353))) % 169.26/169.09 [7636]~P88(x76361)+~P1(f317(f317(f224(x76361),x76362),x76364))+P1(f317(f317(f224(x76361),f317(f317(f74(x76361),x76362),x76363)),f317(f317(f74(x76361),x76364),x76363))) % 169.26/169.09 [7637]~P87(x76371)+~P1(f317(f317(f225(x76371),x76373),x76374))+P1(f317(f317(f225(x76371),f317(f317(f74(x76371),x76372),x76373)),f317(f317(f74(x76371),x76372),x76374))) % 169.26/169.09 [7638]~P90(x76381)+~P1(f317(f317(f225(x76381),x76383),x76384))+P1(f317(f317(f225(x76381),f317(f317(f74(x76381),x76382),x76383)),f317(f317(f74(x76381),x76382),x76384))) % 169.26/169.09 [7639]~P87(x76391)+~P1(f317(f317(f225(x76391),x76392),x76394))+P1(f317(f317(f225(x76391),f317(f317(f74(x76391),x76392),x76393)),f317(f317(f74(x76391),x76394),x76393))) % 169.26/169.09 [7640]~P90(x76401)+~P1(f317(f317(f225(x76401),x76402),x76404))+P1(f317(f317(f225(x76401),f317(f317(f74(x76401),x76402),x76403)),f317(f317(f74(x76401),x76404),x76403))) % 169.26/169.09 [7641]~P120(x76411)+~P1(f317(f317(f277(x76411),x76413),x76414))+P1(f317(f317(f277(x76411),f317(f317(f75(x76411),x76412),x76413)),f317(f317(f75(x76411),x76412),x76414))) % 169.26/169.09 [7642]~P120(x76421)+~P1(f317(f317(f277(x76421),x76422),x76424))+P1(f317(f317(f277(x76421),f317(f317(f75(x76421),x76422),x76423)),f317(f317(f75(x76421),x76424),x76423))) % 169.26/169.09 [7643]~P112(x76431)+~P1(f317(f317(f277(x76431),x76432),x76434))+P1(f317(f317(f277(x76431),f317(f317(f234(x76431),x76432),x76433)),f317(f317(f234(x76431),x76434),x76433))) % 169.26/169.09 [7650]~P96(x76501)+~P132(x76501)+E(f317(f317(f23(x76501),f317(f317(f75(x76501),x76502),f317(f94(x76501),x76503))),f317(f317(f75(x76501),x76504),f317(f94(x76501),x76503))),f317(f317(f75(x76501),f317(f317(f23(x76501),x76502),x76504)),f317(f94(x76501),x76503))) % 169.26/169.09 [7651]~P96(x76511)+~P141(x76511)+E(f317(f317(f74(x76511),f317(f317(f75(x76511),x76512),f317(f94(x76511),x76513))),f317(f317(f75(x76511),x76514),f317(f94(x76511),x76513))),f317(f317(f75(x76511),f317(f317(f74(x76511),x76512),x76514)),f317(f94(x76511),x76513))) % 169.26/169.09 [7687]~P76(x76871)+E(f317(f317(f74(x76871),f317(x76872,x76873)),f317(f317(f6(a897,x76871),x76872),f293(a897,f317(a102,x76873),x76874))),f317(f317(f6(a897,x76871),x76872),f293(a897,x76873,x76874)))+~P1(f317(f317(f224(a897),x76873),x76874)) % 169.26/169.09 [7699]~P27(x76992,x76991,x76993,f317(f162(x76992),x76994))+~P1(f317(f127(x76992),x76994))+P1(f317(f127(x76991),f317(f317(f144(x76992,x76991),x76993),x76994))) % 169.26/169.09 [7748]~P1(f317(f317(f224(a897),x77482),x77484))+~P1(f317(f317(f224(a897),x77481),x77483))+P1(f317(f317(f224(a897),f317(f317(f74(a897),x77481),x77482)),f317(f317(f74(a897),x77483),x77484))) % 169.26/169.09 [7749]~P1(f317(f317(f224(a897),x77492),x77494))+~P1(f317(f317(f224(a897),x77491),x77493))+P1(f317(f317(f224(a897),f317(f317(f75(a897),x77491),x77492)),f317(f317(f75(a897),x77493),x77494))) % 169.26/169.09 [7752]~P1(f317(f317(f225(a897),x77522),x77524))+~P1(f317(f317(f225(a897),x77521),x77523))+P1(f317(f317(f225(a897),f317(f317(f74(a897),x77521),x77522)),f317(f317(f74(a897),x77523),x77524))) % 169.26/169.09 [7753]~P1(f317(f317(f224(a1),x77532),x77534))+~P1(f317(f317(f225(a1),x77531),x77533))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x77531),x77532)),f317(f317(f74(a1),x77533),x77534))) % 169.26/169.09 [7801]P1(f317(f317(f319(x78011),x78012),x78013))+~P1(f317(f317(f319(x78011),x78012),f32(f906(x78011,a894),x78014)))+~P1(f317(f317(f319(f906(x78011,a894)),x78013),x78014)) % 169.26/169.09 [7818]~P1(f317(x78181,f639(x78181,x78183,x78182)))+P1(f317(x78181,f317(f317(f154(x78182),x78183),x78184)))+~P1(f317(f317(f225(a897),x78184),f317(f179(f898(x78182)),x78183))) % 169.26/169.09 [7823]P1(f317(x78231,x78232))+~P1(f317(f317(f319(x78234),x78232),f317(f162(x78234),x78233)))+P1(f317(f317(f225(a897),f641(x78231,x78233,x78234)),f317(f179(f898(x78234)),x78233))) % 169.26/169.09 [7870]~P3(x78701)+~P1(f317(f317(f225(f906(x78702,x78701)),x78704),x78703))+~P1(f317(f317(f224(f906(x78702,x78701)),x78703),x78704)) % 169.26/169.09 [7915]~P1(f317(x79154,x79152))+~P1(f317(f317(f319(x79151),x79152),x79153))+P1(f317(f317(f319(x79151),x79152),f317(f317(f92(f906(x79151,a894)),x79153),f317(f252(x79151),x79154)))) % 169.26/169.09 [8060]~P1(f317(f317(f319(x80601),x80603),x80604))+~P1(f317(f317(f225(f906(x80601,a894)),x80602),x80604))+P1(f317(f317(f225(f906(x80601,a894)),x80602),f317(f317(f299(x80601),x80603),x80604))) % 169.26/169.09 [8062]E(f317(f317(f92(f906(x80621,a894)),x80622),x80623),f178(f906(x80621,a894)))+~E(f317(f317(f92(f906(x80621,a894)),f31(f906(x80621,a894),x80624)),x80623),f178(f906(x80621,a894)))+~P1(f317(f317(f319(f906(x80621,a894)),x80622),x80624)) % 169.26/169.09 [8135]P1(f317(f317(f319(x81351),x81352),x81353))+~P1(f317(f317(f224(f906(x81351,a894)),x81353),f317(f317(f299(x81351),x81352),x81354)))+P1(f317(f317(f224(f906(x81351,a894)),x81353),x81354)) % 169.26/169.09 [8152]P1(f317(f317(f319(x81522),f639(x81521,x81523,x81522)),f317(f162(x81522),x81523)))+P1(f317(x81521,f317(f317(f154(x81522),x81523),x81524)))+~P1(f317(f317(f225(a897),x81524),f317(f179(f898(x81522)),x81523))) % 169.26/169.09 [8160]~P1(f317(f317(f224(f906(x81601,a894)),x81602),x81604))+P1(f317(f317(f224(f906(x81601,a894)),x81602),x81603))+~P1(f317(f317(f224(f906(x81601,a894)),x81604),x81603)) % 169.26/169.09 [8161]~P1(f317(f317(f225(f906(x81611,a894)),x81612),x81614))+~P1(f317(f317(f224(f906(x81611,a894)),x81614),x81613))+P1(f317(f317(f225(f906(x81611,a894)),x81612),x81613)) % 169.26/169.09 [8162]~P1(f317(f317(f224(f906(x81621,a894)),x81622),x81624))+~P1(f317(f317(f225(f906(x81621,a894)),x81624),x81623))+P1(f317(f317(f225(f906(x81621,a894)),x81622),x81623)) % 169.26/169.09 [8163]~P1(f317(f317(f225(f906(x81631,a894)),x81632),x81634))+P1(f317(f317(f225(f906(x81631,a894)),x81632),x81633))+~P1(f317(f317(f225(f906(x81631,a894)),x81634),x81633)) % 169.26/169.09 [8207]~P1(f317(f317(f319(x82071),x82074),x82073))+~P1(f317(f317(f225(f906(x82071,a894)),x82072),f317(f317(f299(x82071),x82074),x82073)))+P1(f317(f317(f225(f906(x82071,a894)),x82072),x82073)) % 169.26/169.09 [8218]~P87(x82181)+P1(f317(f317(f224(x82181),x82182),x82183))+~P1(f317(f317(f224(x82181),f317(f317(f74(x82181),x82184),x82182)),f317(f317(f74(x82181),x82184),x82183))) % 169.26/169.09 [8220]~P87(x82201)+P1(f317(f317(f224(x82201),x82202),x82203))+~P1(f317(f317(f224(x82201),f317(f317(f74(x82201),x82202),x82204)),f317(f317(f74(x82201),x82203),x82204))) % 169.26/169.09 [8222]~P87(x82221)+P1(f317(f317(f225(x82221),x82222),x82223))+~P1(f317(f317(f225(x82221),f317(f317(f74(x82221),x82224),x82222)),f317(f317(f74(x82221),x82224),x82223))) % 169.26/169.09 [8224]~P87(x82241)+P1(f317(f317(f225(x82241),x82242),x82243))+~P1(f317(f317(f225(x82241),f317(f317(f74(x82241),x82242),x82244)),f317(f317(f74(x82241),x82243),x82244))) % 169.26/169.09 [8275]P1(f317(x82751,x82752))+~E(f317(f317(f128(x82753),f317(f179(f898(x82753)),f167(x82753,x82751,x82754))),x82754),f103(x82753))+~P1(f317(f317(f319(x82753),x82752),f317(f162(x82753),x82754))) % 169.26/169.09 [8394]P1(f317(x83941,x83942))+~P1(f317(f317(f319(x83943),x83942),f317(f162(x83943),x83944)))+P1(f317(f317(f225(a897),f317(f179(f898(x83943)),f317(f126(x83943,x83941),x83944))),f317(f179(f898(x83943)),x83944))) % 169.26/169.09 [8883]~P1(f317(x88831,f733(x88831,x88833,x88832,x88834)))+P1(f317(x88831,f317(f317(f154(x88832),x88833),x88834)))+~P1(f317(f317(f225(a897),x88834),f317(f179(f898(x88832)),x88833))) % 169.26/169.09 [8907]~P27(x89074,x89073,x89071,f232(f906(x89074,a894)))+E(f317(x89071,f453(x89072,x89071,x89073,x89074)),x89072)+~P1(f317(f317(f319(x89073),x89072),f317(f300(x89074,x89073,x89071),f232(f906(x89074,a894))))) % 169.26/169.09 [8975]E(f167(x89751,x89752,x89753),f317(f317(f165(x89751),x89754),x89753))+P1(f317(f317(f225(a897),f702(x89752,x89753,x89751,x89754)),x89754))+P1(f317(f317(f225(a897),x89754),f317(f179(f898(x89751)),x89753))) % 169.26/169.09 [8978]E(f167(x89781,x89782,x89783),f317(f317(f165(x89781),x89784),x89783))+P1(f317(f317(f225(a897),f702(x89782,x89783,x89781,x89784)),x89784))+P1(f317(x89782,f317(f317(f154(x89781),x89783),x89784))) % 169.26/169.09 [9013]P1(f317(x90131,x90132))+~P1(f317(f317(f319(x90134),x90132),f317(f162(x90134),x90133)))+P1(f317(f317(f225(a897),f676(x90132,x90131,x90133,x90134)),f317(f179(f898(x90134)),x90133))) % 169.26/169.09 [9015]E(f167(x90151,x90152,x90153),f317(f317(f165(x90151),x90154),x90153))+P1(f317(f317(f225(a897),x90154),f317(f179(f898(x90151)),x90153)))+P1(f317(f317(f225(a897),f702(x90152,x90153,x90151,x90154)),f317(f179(f898(x90151)),x90153))) % 169.26/169.09 [9022]E(f167(x90221,x90222,x90223),f317(f317(f165(x90221),x90224),x90223))+P1(f317(x90222,f317(f317(f154(x90221),x90223),x90224)))+P1(f317(f317(f225(a897),f702(x90222,x90223,x90221,x90224)),f317(f179(f898(x90221)),x90223))) % 169.26/169.09 [9047]~P110(x90474)+P1(f317(f317(f319(x90471),f622(x90472,x90473,x90471,x90474)),x90473))+P1(f317(f317(f225(x90474),f2(x90474)),f317(f317(f9(x90471,x90474),x90472),x90473))) % 169.26/169.09 [9048]~P110(x90484)+P1(f317(f317(f319(x90481),f627(x90482,x90483,x90481,x90484)),x90483))+P1(f317(f317(f224(x90484),f2(x90484)),f317(f317(f9(x90481,x90484),x90482),x90483))) % 169.26/169.09 [9073]~P1(f317(f28(x90731),x90734))+P1(f317(f317(f319(x90731),f472(x90732,x90733,x90734,x90731)),x90734))+P1(f317(f28(f905(x90731,x90733)),f317(f317(f244(x90731,x90733),x90734),x90732))) % 169.26/169.09 [9105]P1(f317(f317(f319(x91052),f733(x91051,x91053,x91052,x91054)),f317(f162(x91052),x91053)))+P1(f317(x91051,f317(f317(f154(x91052),x91053),x91054)))+~P1(f317(f317(f225(a897),x91054),f317(f179(f898(x91052)),x91053))) % 169.26/169.09 [9235]P1(f317(f317(f224(a897),x92354),f317(f179(f898(x92352)),f167(x92352,x92353,x92351))))+P1(f317(f317(f225(a897),f703(x92351,x92352,x92353,x92354)),x92354))+~P1(f317(f317(f224(a897),x92354),f317(f179(f898(x92352)),x92351))) % 169.26/169.09 [9391]E(f167(x93911,x93912,x93913),f317(f317(f165(x93911),x93914),x93913))+~P1(f317(x93912,f317(f317(f154(x93911),x93913),f702(x93912,x93913,x93911,x93914))))+P1(f317(f317(f225(a897),x93914),f317(f179(f898(x93911)),x93913))) % 169.26/169.09 [9399]E(f167(x93991,x93992,x93993),f317(f317(f165(x93991),x93994),x93993))+~P1(f317(x93992,f317(f317(f154(x93991),x93993),f702(x93992,x93993,x93991,x93994))))+P1(f317(x93992,f317(f317(f154(x93991),x93993),x93994))) % 169.26/169.09 [9403]~P1(f317(f28(x94031),x94033))+~P1(f317(f28(x94032),f317(x94034,f472(x94034,x94032,x94033,x94031))))+P1(f317(f28(f905(x94031,x94032)),f317(f317(f244(x94031,x94032),x94033),x94034))) % 169.26/169.09 [9411]~P110(x94111)+~P1(f317(f317(f224(x94111),f2(x94111)),f317(x94113,f627(x94113,x94114,x94112,x94111))))+P1(f317(f317(f224(x94111),f2(x94111)),f317(f317(f9(x94112,x94111),x94113),x94114))) % 169.26/169.09 [9412]~P110(x94121)+~P1(f317(f317(f225(x94121),f2(x94121)),f317(x94123,f622(x94123,x94124,x94122,x94121))))+P1(f317(f317(f225(x94121),f2(x94121)),f317(f317(f9(x94122,x94121),x94123),x94124))) % 169.26/169.09 [9420]~E(f317(f179(f898(x94204)),x94202),f317(f179(f898(x94204)),x94203))+P1(f317(f317(f319(f905(f898(x94204),f898(x94204))),f317(f317(f242(f898(x94204),f898(x94204)),x94203),x94202)),f148(x94204,x94201)))+P1(f317(f317(f225(a897),f628(x94201,x94202,x94203,x94204)),f317(f179(f898(x94204)),x94203))) % 169.26/169.09 [9472]~P1(f317(x94723,f317(f317(f154(x94722),x94724),f703(x94724,x94722,x94723,x94721))))+P1(f317(f317(f224(a897),x94721),f317(f179(f898(x94722)),f167(x94722,x94723,x94724))))+~P1(f317(f317(f224(a897),x94721),f317(f179(f898(x94722)),x94724))) % 169.26/169.09 [9553]E(f317(f317(f165(x95531),f640(x95532,x95533,x95534,x95531)),x95533),f317(f317(f165(x95531),f640(x95532,x95533,x95534,x95531)),x95534))+~P1(f317(f317(f319(f905(f898(x95531),f898(x95531))),f317(f317(f242(f898(x95531),f898(x95531)),x95534),x95533)),f137(x95531,x95532)))+P1(f317(f317(f225(a897),f317(f179(f898(x95531)),x95534)),f317(f179(f898(x95531)),x95533))) % 169.26/169.09 [9618]~P1(f317(f317(f225(a897),f2(a897)),x96183))+~P1(f317(f317(f225(a897),x96184),x96181))+P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),x96181),f40(a897,x96182,x96183))),x96184)),f317(f317(f75(a897),x96181),x96183))) % 169.26/169.09 [9810]~P3(x98102)+~P1(f317(f317(f224(x98102),f317(x98103,f660(x98104,x98103,x98101,x98102))),f317(x98104,f660(x98104,x98103,x98101,x98102))))+P1(f317(f317(f224(f906(x98101,x98102)),x98103),x98104)) % 169.26/169.09 [9913]~P70(x99131)+E(f317(f317(f6(a897,x99131),f317(f317(f18(a897,x99131,x99131),f317(f317(f8(x99131,f906(x99131,x99131),a897),f23(x99131)),x99132)),f317(f317(f8(a897,x99131,a897),x99132),f317(f317(f7(a897,a897,a897),f74(a897)),f72(a897))))),f293(a897,x99133,x99134)),f317(f317(f23(x99131),f317(x99132,x99133)),f317(x99132,f317(f317(f74(a897),x99134),f72(a897)))))+~P1(f317(f317(f224(a897),x99133),x99134)) % 169.26/169.09 [9988]~P39(x99883,f317(f317(f279(x99883,x99883,x99883),x99882),f297(x99883,x99882)))+~P1(f317(f317(f319(f905(x99883,x99883)),f317(f317(f242(x99883,x99883),f317(x99881,f317(a102,f815(x99882,x99881,x99883)))),f317(x99881,f815(x99882,x99881,x99883)))),f297(x99883,x99882)))+E(f317(x99881,f317(f317(f74(a897),f814(x99882,x99881,x99883)),x99884)),f317(x99881,f814(x99882,x99881,x99883))) % 169.26/169.09 [6850]~P6(x68501)+E(f317(f317(f30(x68501),f317(f317(f75(x68501),x68502),x68503)),x68504),f317(f317(f75(x68501),x68502),f317(f317(f30(x68501),x68503),x68504)))+~P1(f317(f317(f277(x68501),x68504),x68503)) % 169.26/169.09 [6937]E(f317(f317(f124(x69371),x69372),x69373),x69374)+~E(x69373,f317(f317(f128(x69371),f317(f179(f898(x69371)),x69372)),x69374))+~E(f317(f317(f165(x69371),f317(f179(f898(x69371)),x69372)),x69374),x69372) % 169.26/169.09 [6993]~P65(x69932)+E(x69931,f2(x69932))+E(f317(f317(f281(x69932),f317(f317(f234(x69932),x69933),x69934)),f317(f317(f234(x69932),x69931),x69934)),f317(f317(f234(x69932),f317(f317(f281(x69932),x69933),x69931)),x69934)) % 169.26/169.09 [7140]~P6(x71401)+E(f317(f317(f30(x71401),f317(f317(f75(x71401),x71402),x71403)),x71404),f317(f317(f75(x71401),f317(f317(f30(x71401),x71402),x71404)),x71403))+~P1(f317(f317(f277(x71401),x71404),x71402)) % 169.26/169.09 [7149]~P4(x71491)+~P1(f317(f317(f224(x71491),x71493),x71494))+P1(f317(f317(f224(x71491),f317(f317(f228(x71491),x71492),x71493)),x71494)) % 169.26/169.09 [7151]~P4(x71511)+~P1(f317(f317(f224(x71511),x71512),x71514))+P1(f317(f317(f224(x71511),f317(f317(f228(x71511),x71512),x71513)),x71514)) % 169.26/169.09 [7152]~P106(x71521)+~P1(f317(f317(f224(x71521),x71523),x71524))+P1(f317(f317(f224(x71521),f317(f317(f92(x71521),x71522),x71523)),x71524)) % 169.26/169.09 [7153]~P106(x71531)+~P1(f317(f317(f224(x71531),x71532),x71534))+P1(f317(f317(f224(x71531),f317(f317(f92(x71531),x71532),x71533)),x71534)) % 169.26/169.09 [7155]~P4(x71551)+~P1(f317(f317(f225(x71551),x71553),x71554))+P1(f317(f317(f225(x71551),f317(f317(f228(x71551),x71552),x71553)),x71554)) % 169.26/169.09 [7157]~P4(x71571)+~P1(f317(f317(f225(x71571),x71572),x71574))+P1(f317(f317(f225(x71571),f317(f317(f228(x71571),x71572),x71573)),x71574)) % 169.26/169.09 [7158]~P106(x71581)+~P1(f317(f317(f225(x71581),x71583),x71584))+P1(f317(f317(f225(x71581),f317(f317(f92(x71581),x71582),x71583)),x71584)) % 169.26/169.09 [7159]~P106(x71591)+~P1(f317(f317(f225(x71591),x71592),x71594))+P1(f317(f317(f225(x71591),f317(f317(f92(x71591),x71592),x71593)),x71594)) % 169.26/169.09 [7182]~P1(f317(x71823,x71824))+~P1(f317(x71822,x71824))+P1(f317(f317(f317(f92(f906(x71821,a894)),x71822),x71823),x71824)) % 169.26/169.09 [7444]~P6(x74441)+E(f317(f317(f30(x74441),f317(f317(f234(x74441),x74442),x74443)),f317(f317(f234(x74441),x74444),x74443)),f317(f317(f234(x74441),f317(f317(f30(x74441),x74442),x74444)),x74443))+~P1(f317(f317(f277(x74441),x74444),x74442)) % 169.26/169.09 [7677]~P76(x76771)+E(f317(f317(f74(x76771),f317(x76772,x76773)),f317(f317(f6(a897,x76771),x76772),f317(f292(a897,f317(a102,x76773)),x76774))),f317(f317(f6(a897,x76771),x76772),f317(f292(a897,x76773),x76774)))+~P1(f317(f317(f225(a897),x76773),x76774)) % 169.26/169.09 [7695]E(x76951,x76952)+P1(f317(f317(f162(x76953),x76954),x76952))+~P1(f317(f317(f162(x76953),f317(f317(f141(x76953),x76951),x76954)),x76952)) % 169.26/169.09 [7707]~P4(x77071)+P1(f317(f317(f224(x77071),x77072),x77073))+~P1(f317(f317(f224(x77071),f317(f317(f223(x77071),x77074),x77072)),x77073)) % 169.26/169.09 [7709]~P4(x77091)+P1(f317(f317(f224(x77091),x77092),x77093))+~P1(f317(f317(f224(x77091),f317(f317(f223(x77091),x77092),x77094)),x77093)) % 169.26/169.09 [7711]~P100(x77111)+P1(f317(f317(f224(x77111),x77112),x77113))+~P1(f317(f317(f224(x77111),f317(f317(f91(x77111),x77114),x77112)),x77113)) % 169.26/169.09 [7713]~P100(x77131)+P1(f317(f317(f224(x77131),x77132),x77133))+~P1(f317(f317(f224(x77131),f317(f317(f91(x77131),x77132),x77134)),x77133)) % 169.26/169.09 [7714]~P4(x77141)+P1(f317(f317(f225(x77141),x77142),x77143))+~P1(f317(f317(f225(x77141),f317(f317(f223(x77141),x77144),x77142)),x77143)) % 169.26/169.09 [7715]~P4(x77151)+P1(f317(f317(f225(x77151),x77152),x77153))+~P1(f317(f317(f225(x77151),f317(f317(f223(x77151),x77152),x77154)),x77153)) % 169.26/169.09 [7716]~P112(x77161)+P1(f317(f317(f277(x77161),x77162),x77163))+~P1(f317(f317(f277(x77161),f317(f317(f75(x77161),x77164),x77162)),x77163)) % 169.26/169.09 [7717]~P112(x77171)+P1(f317(f317(f277(x77171),x77172),x77173))+~P1(f317(f317(f277(x77171),f317(f317(f75(x77171),x77172),x77174)),x77173)) % 169.26/169.09 [7793]~P1(f317(f317(f319(x77931),x77932),x77934))+P1(f317(f317(f319(x77931),x77932),x77933))+P1(f317(f317(f319(x77931),x77932),f317(f317(f23(f906(x77931,a894)),x77934),x77933))) % 169.26/169.09 [7877]P1(f317(x78771,x78772))+P1(f317(x78773,x78772))+~P1(f317(f317(f317(f91(f906(x78774,a894)),x78773),x78771),x78772)) % 169.26/169.09 [7889]~P1(f317(f317(f319(x78891),x78892),x78894))+~P1(f317(f317(f319(x78891),x78892),x78893))+P1(f317(f317(f319(x78891),x78892),f317(f317(f92(f906(x78891,a894)),x78893),x78894))) % 169.26/169.09 [7937]~P4(x79371)+~P1(f317(f28(x79371),x79374))+E(f317(f317(f58(x79371,x79371,f228(x79371)),x79372),f317(f317(f299(x79371),x79373),x79374)),f317(f317(f228(x79371),x79373),f317(f317(f58(x79371,x79371,f228(x79371)),x79372),x79374))) % 169.26/169.09 [7938]~P4(x79381)+~P1(f317(f28(x79381),x79384))+E(f317(f317(f58(x79381,x79381,f223(x79381)),x79382),f317(f317(f299(x79381),x79383),x79384)),f317(f317(f223(x79381),x79383),f317(f317(f58(x79381,x79381,f223(x79381)),x79382),x79384))) % 169.26/169.09 [7939]~P100(x79391)+~P1(f317(f28(x79391),x79394))+E(f317(f317(f58(x79391,x79391,f91(x79391)),x79392),f317(f317(f299(x79391),x79393),x79394)),f317(f317(f91(x79391),x79393),f317(f317(f58(x79391,x79391,f91(x79391)),x79392),x79394))) % 169.26/169.09 [7940]~P106(x79401)+~P1(f317(f28(x79401),x79404))+E(f317(f317(f58(x79401,x79401,f92(x79401)),x79402),f317(f317(f299(x79401),x79403),x79404)),f317(f317(f92(x79401),x79403),f317(f317(f58(x79401,x79401,f92(x79401)),x79402),x79404))) % 169.26/169.09 [7942]~P96(x79421)+~P132(x79421)+E(f317(f317(f23(x79421),f317(f317(f75(x79421),f317(f94(x79421),x79422)),x79423)),f317(f317(f75(x79421),f317(f94(x79421),x79422)),x79424)),f317(f317(f75(x79421),f317(f94(x79421),x79422)),f317(f317(f23(x79421),x79423),x79424))) % 169.26/169.09 [7943]~P96(x79431)+~P141(x79431)+E(f317(f317(f74(x79431),f317(f317(f75(x79431),f317(f94(x79431),x79432)),x79433)),f317(f317(f75(x79431),f317(f94(x79431),x79432)),x79434)),f317(f317(f75(x79431),f317(f94(x79431),x79432)),f317(f317(f74(x79431),x79433),x79434))) % 169.26/169.09 [8058]E(x80581,x80582)+P1(f317(f317(f319(x80583),x80581),f317(f162(x80583),x80584)))+~P1(f317(f317(f319(x80583),x80581),f317(f162(x80583),f317(f317(f141(x80583),x80582),x80584)))) % 169.26/169.09 [8229]P57(x82291,x82292,x82293)+~P57(x82291,x82292,x82294)+~P1(f317(f317(f224(f906(f905(x82291,x82292),a894)),x82293),x82294)) % 169.26/169.09 [8277]P1(f317(f317(f319(x82771),x82772),x82773))+P1(f317(f317(f319(x82771),x82772),x82774))+~P1(f317(f317(f319(x82771),x82772),f317(f317(f91(f906(x82771,a894)),x82774),x82773))) % 169.26/169.09 [8287]~P55(x82871,x82874,x82873)+~P1(f317(f317(f319(x82871),x82872),x82874))+P1(f317(f317(f319(f905(x82871,x82871)),f317(f317(f242(x82871,x82871),x82872),x82872)),x82873)) % 169.26/169.09 [8299]~P1(f317(f28(x82992),x82994))+~P1(f317(f28(x82991),x82993))+P1(f317(f28(f905(x82991,x82992)),f317(f317(f244(x82991,x82992),x82993),f317(f16(f906(x82992,a894),x82991),x82994)))) % 169.26/169.09 [8300]~P1(f317(f317(f319(x83001),x83002),x83004))+~P1(f317(f317(f224(f906(x83001,a894)),x83003),x83004))+P1(f317(f317(f224(f906(x83001,a894)),f317(f317(f299(x83001),x83002),x83003)),x83004)) % 169.26/169.09 [8307]~P79(x83072)+~P144(x83072)+E(f317(f317(f9(x83071,x83072),f317(f317(f8(a897,x83072,x83071),f90(x83072)),x83073)),x83074),f317(f90(x83072),f317(f317(f9(x83071,a897),x83073),x83074))) % 169.26/169.09 [8308]~P128(x83082)+~P79(x83082)+E(f317(f317(f9(x83081,x83082),f317(f317(f8(a1,x83082,x83081),f93(x83082)),x83083)),x83084),f317(f93(x83082),f317(f317(f9(x83081,a1),x83083),x83084))) % 169.26/169.09 [8332]E(f317(f317(f23(f906(x83321,a894)),x83322),f317(f317(f23(f906(x83321,a894)),x83323),x83324)),x83324)+~P1(f317(f317(f224(f906(x83321,a894)),x83322),x83323))+~P1(f317(f317(f224(f906(x83321,a894)),x83324),x83322)) % 169.26/169.09 [8429]~P1(f317(f28(x84291),x84294))+E(f317(f317(f23(a897),f317(f317(f6(x84291,a897),x84292),x84293)),f317(f317(f6(x84291,a897),x84292),x84294)),f317(f317(f6(x84291,a897),x84292),f317(f317(f23(f906(x84291,a894)),x84293),x84294)))+~P1(f317(f317(f224(f906(x84291,a894)),x84294),x84293)) % 169.26/169.09 [8581]~P11(x85811,x85814,x85813)+~P1(f317(f317(f319(x85811),x85812),x85814))+P1(f317(f317(f319(x85811),x85812),f317(f275(x85811,x85811,x85813),f317(f317(f299(x85811),x85812),f178(f906(x85811,a894)))))) % 169.26/169.09 [8642]~P1(f317(f317(f224(f906(x86421,a894)),x86422),x86423))+~P1(f317(f317(f224(f906(x86421,a894)),x86422),x86424))+P1(f317(f317(f224(f906(x86421,a894)),x86422),f317(f317(f92(f906(x86421,a894)),x86423),x86424))) % 169.26/169.09 [8744]E(x87441,f178(f906(x87442,a894)))+P1(f317(f28(x87443),x87444))+~P1(f317(f28(f905(x87443,x87442)),f317(f317(f244(x87443,x87442),x87444),f317(f16(f906(x87442,a894),x87443),x87441)))) % 169.26/169.09 [8745]E(x87451,f178(f906(x87452,a894)))+P1(f317(f28(x87453),x87454))+~P1(f317(f28(f905(x87452,x87453)),f317(f317(f244(x87452,x87453),x87451),f317(f16(f906(x87453,a894),x87452),x87454)))) % 169.26/169.09 [8818]P1(f317(f317(f319(x88181),x88182),f306(x88181,x88183)))+~P1(f317(f317(f319(x88181),x88184),f306(x88181,x88183)))+~P1(f317(f317(f319(f905(x88181,x88181)),f317(f317(f242(x88181,x88181),x88182),x88184)),x88183)) % 169.26/169.09 [8875]~P39(x88751,x88754)+P1(f317(f317(f319(f905(x88751,x88751)),f317(f317(f242(x88751,x88751),x88753),x88752)),f297(x88751,x88754)))+P39(x88751,f317(f317(f299(f905(x88751,x88751)),f317(f317(f242(x88751,x88751),x88752),x88753)),x88754)) % 169.26/169.09 [8876]~P60(x88761,x88764)+P1(f317(f317(f319(f905(x88761,x88761)),f317(f317(f242(x88761,x88761),x88763),x88762)),f297(x88761,x88764)))+P60(x88761,f317(f317(f299(f905(x88761,x88761)),f317(f317(f242(x88761,x88761),x88762),x88763)),x88764)) % 169.26/169.09 [8958]~E(x89582,x89583)+~P1(f317(f317(f319(x89581),x89582),f317(f162(x89581),x89584)))+P1(f317(f317(f319(f905(x89581,x89581)),f317(f317(f242(x89581,x89581),x89582),x89583)),f317(f162(f905(x89581,x89581)),f317(f317(f171(x89581,x89581),x89584),x89584)))) % 169.26/169.09 [9046]~E(x90463,x90464)+P1(f317(f317(f247(x90461,x90461,a894),a314),x90462))+~P1(f317(f317(f319(f905(x90461,x90461)),x90462),f317(f162(f905(x90461,x90461)),f317(f317(f171(x90461,x90461),x90463),x90464)))) % 169.26/169.09 [9090]P1(f317(f317(f319(f905(f898(x90901),f898(x90901))),f317(f317(f242(f898(x90901),f898(x90901)),x90902),x90903)),f137(x90901,x90904)))+~E(f317(f317(f165(x90901),f317(f179(f898(x90901)),x90902)),x90903),x90902)+~P1(f317(f317(f225(a897),f317(f179(f898(x90901)),x90902)),f317(f179(f898(x90901)),x90903))) % 169.26/169.09 [9093]~P54(x90931,x90934)+~P1(f317(f317(f319(f905(x90931,x90931)),f317(f317(f242(x90931,x90931),x90933),x90932)),x90934))+P1(f317(f317(f319(f905(x90931,x90931)),f317(f317(f242(x90931,x90931),x90932),x90933)),x90934)) % 169.26/169.09 [9185]~P1(f317(f28(x91851),x91854))+P1(f317(f317(f319(x91851),f436(x91852,x91853,x91854,x91851)),x91854))+P1(f317(f28(x91853),f317(f317(f34(x91851,f906(x91853,a894)),x91854),x91852))) % 169.26/169.09 [9186]~P1(f317(f28(x91861),x91864))+P1(f317(f317(f319(x91861),f522(x91862,x91863,x91864,x91861)),x91864))+P1(f317(f28(x91863),f317(f317(f34(x91861,f906(x91863,a894)),x91864),x91862))) % 169.26/169.09 [9271]P1(f317(f317(f319(f905(x92711,x92711)),x92712),f317(f317(f279(x92711,x92711,x92711),x92713),f297(x92711,x92713))))+~P1(f317(f317(f225(a897),f2(a897)),x92714))+~P1(f317(f317(f319(f905(x92711,x92711)),x92712),f317(f317(f173(f905(x92711,x92711),a894),x92714),x92713))) % 169.26/169.09 [9279]~P39(x92791,x92792)+~P1(f317(f317(f319(f905(x92791,x92791)),f317(f317(f242(x92791,x92791),x92794),x92793)),x92792))+~P1(f317(f317(f319(f905(x92791,x92791)),f317(f317(f242(x92791,x92791),x92793),x92794)),x92792)) % 169.26/169.09 [9410]~P1(f317(f28(x94101),x94104))+E(f317(f317(f6(x94101,a897),f317(f317(f8(f906(x94102,a894),a897,x94101),f29(x94102)),x94103)),x94104),f317(f29(f905(x94101,x94102)),f317(f317(f244(x94101,x94102),x94104),x94103)))+P1(f317(f317(f319(x94101),f474(x94103,x94102,x94104,x94101)),x94104)) % 169.26/169.09 [9414]~P1(f317(f127(x94141),x94142))+P1(f317(f127(x94141),f317(f317(f149(x94141,x94142),x94143),x94144)))+P1(f317(f317(f319(x94141),x94144),f317(f317(f23(f906(x94141,a894)),f317(f162(x94141),x94142)),f317(f317(f299(x94141),f317(f317(f154(x94141),x94142),x94143)),f178(f906(x94141,a894)))))) % 169.26/169.09 [9431]~P1(f317(f28(x94312),x94313))+~P1(f317(f28(x94311),f317(x94314,f436(x94314,x94311,x94313,x94312))))+P1(f317(f28(x94311),f317(f317(f34(x94312,f906(x94311,a894)),x94313),x94314))) % 169.26/169.09 [9432]~P1(f317(f28(x94322),x94323))+~P1(f317(f28(x94321),f317(x94324,f522(x94324,x94321,x94323,x94322))))+P1(f317(f28(x94321),f317(f317(f34(x94322,f906(x94321,a894)),x94323),x94324))) % 169.26/169.09 [9510]~P1(f317(f317(f319(f905(x95101,x95101)),x95102),f317(f317(f279(x95101,x95101,x95101),x95104),f297(x95101,x95104))))+P1(f317(f317(f319(f905(x95101,x95101)),x95102),f317(f317(f279(x95101,x95101,x95101),x95103),f297(x95101,x95103))))+~P1(f317(f317(f224(f906(f905(x95101,x95101),a894)),x95104),x95103)) % 169.26/169.09 [9520]E(f317(f317(f165(x95201),f640(x95204,x95203,x95202,x95201)),x95203),f317(f317(f165(x95201),f640(x95204,x95203,x95202,x95201)),x95202))+~P1(f317(f317(f319(f905(f898(x95201),f898(x95201))),f317(f317(f242(f898(x95201),f898(x95201)),x95202),x95203)),f137(x95201,x95204)))+E(f317(f317(f165(x95201),f317(f179(f898(x95201)),x95202)),x95203),x95202) % 169.26/169.09 [9536]~P1(f317(f28(x95361),x95364))+E(f317(f317(f6(x95361,a897),f317(f317(f8(f906(x95362,a894),a897,x95361),f29(x95362)),x95363)),x95364),f317(f29(f905(x95361,x95362)),f317(f317(f244(x95361,x95362),x95364),x95363)))+~P1(f317(f28(x95362),f317(x95363,f474(x95363,x95362,x95364,x95361)))) % 169.26/169.09 [9540]~E(f317(f179(f898(x95401)),x95403),f317(f179(f898(x95401)),x95402))+P1(f317(f317(f319(f905(f898(x95401),f898(x95401))),f317(f317(f242(f898(x95401),f898(x95401)),x95402),x95403)),f148(x95401,x95404)))+P1(f317(f317(f319(f905(x95401,x95401)),f642(x95404,x95403,x95402,x95401)),f317(f162(f905(x95401,x95401)),f317(f317(f171(x95401,x95401),x95402),x95403)))) % 169.26/169.09 [9629]~P1(f317(f317(f319(f905(f898(x96291),f898(x96291))),f317(f317(f242(f898(x96291),f898(x96291)),x96292),x96293)),f137(x96291,x96294)))+E(f317(f317(f165(x96291),f317(f179(f898(x96291)),x96292)),x96293),x96292)+P1(f317(f317(f225(a897),f640(x96294,x96293,x96292,x96291)),f317(f317(f228(a897),f317(f179(f898(x96291)),x96292)),f317(f179(f898(x96291)),x96293)))) % 169.26/169.09 [9653]~P1(f317(f317(f319(f905(f898(x96531),f898(x96531))),f317(f317(f242(f898(x96531),f898(x96531)),x96532),x96533)),f137(x96531,x96534)))+P1(f317(f317(f225(a897),f317(f179(f898(x96531)),x96532)),f317(f179(f898(x96531)),x96533)))+P1(f317(f317(f225(a897),f640(x96534,x96533,x96532,x96531)),f317(f317(f228(a897),f317(f179(f898(x96531)),x96532)),f317(f179(f898(x96531)),x96533)))) % 169.26/169.09 [10055]~P1(f317(f317(f319(f905(f898(x100551),f898(x100551))),f317(f317(f242(f898(x100551),f898(x100551)),x100552),x100553)),f137(x100551,x100554)))+E(f317(f317(f165(x100551),f317(f179(f898(x100551)),x100552)),x100553),x100552)+P1(f317(f317(f319(f905(x100551,x100551)),f317(f317(f242(x100551,x100551),f317(f317(f154(x100551),x100552),f640(x100554,x100553,x100552,x100551))),f317(f317(f154(x100551),x100553),f640(x100554,x100553,x100552,x100551)))),x100554)) % 169.26/169.09 [10056]~P1(f317(f317(f319(f905(f898(x100561),f898(x100561))),f317(f317(f242(f898(x100561),f898(x100561)),x100562),x100563)),f137(x100561,x100564)))+P1(f317(f317(f225(a897),f317(f179(f898(x100561)),x100562)),f317(f179(f898(x100561)),x100563)))+P1(f317(f317(f319(f905(x100561,x100561)),f317(f317(f242(x100561,x100561),f317(f317(f154(x100561),x100562),f640(x100564,x100563,x100562,x100561))),f317(f317(f154(x100561),x100563),f640(x100564,x100563,x100562,x100561)))),x100564)) % 169.26/169.09 [10123]~E(f317(f179(f898(x101231)),x101232),f317(f179(f898(x101231)),x101233))+P1(f317(f317(f319(f905(f898(x101231),f898(x101231))),f317(f317(f242(f898(x101231),f898(x101231)),x101232),x101233)),f148(x101231,x101234)))+~P1(f317(f317(f319(f905(x101231,x101231)),f317(f317(f242(x101231,x101231),f317(f317(f154(x101231),x101232),f628(x101234,x101233,x101232,x101231))),f317(f317(f154(x101231),x101233),f628(x101234,x101233,x101232,x101231)))),x101234)) % 169.26/169.09 [10271]~P76(x102711)+~P1(f317(f28(x102712),x102714))+E(f317(f155(x102711),f317(f317(f144(x102712,x102711),x102713),f84(f898(x102712),f317(f317(f18(f898(x102712),a894,a894),f317(f317(f8(a894,f906(a894,a894),f898(x102712)),a315),f317(f317(f7(f898(x102712),f906(x102712,a894),a894),f317(f317(f8(f906(x102712,a894),f906(f906(x102712,a894),a894),f898(x102712)),a314),f162(x102712))),x102714))),f127(x102712))))),f221(x102712,x102711,x102713,x102714)) % 169.26/169.09 [7525]~P64(x75252)+E(x75251,f2(x75252))+E(f317(f317(f281(x75252),f317(f317(f74(x75252),x75253),f317(f317(f75(x75252),x75254),x75251))),x75251),f317(f317(f74(x75252),x75254),f317(f317(f281(x75252),x75253),x75251))) % 169.26/169.09 [7526]~P6(x75262)+E(x75261,f2(x75262))+E(f317(f317(f30(x75262),f317(f317(f74(x75262),x75263),f317(f317(f75(x75262),x75264),x75261))),x75261),f317(f317(f74(x75262),x75264),f317(f317(f30(x75262),x75263),x75261))) % 169.26/169.09 [7527]~P6(x75272)+E(x75271,f2(x75272))+E(f317(f317(f30(x75272),f317(f317(f74(x75272),x75273),f317(f317(f75(x75272),x75271),x75274))),x75271),f317(f317(f74(x75272),x75274),f317(f317(f30(x75272),x75273),x75271))) % 169.26/169.09 [7756]~P65(x77562)+E(x77561,f2(x77562))+E(f317(f317(f281(x77562),f317(f317(f23(x77562),x77563),f317(f317(f75(x77562),x77561),x77564))),x77561),f317(f317(f23(x77562),f317(f317(f281(x77562),x77563),x77561)),x77564)) % 169.26/169.09 [7757]~P64(x77572)+E(x77571,f2(x77572))+E(f317(f317(f281(x77572),f317(f317(f74(x77572),x77573),f317(f317(f75(x77572),x77574),x77571))),x77571),f317(f317(f74(x77572),f317(f317(f281(x77572),x77573),x77571)),x77574)) % 169.26/169.09 [7758]~P65(x77582)+E(x77581,f2(x77582))+E(f317(f317(f281(x77582),f317(f317(f74(x77582),x77583),f317(f317(f75(x77582),x77581),x77584))),x77581),f317(f317(f74(x77582),f317(f317(f281(x77582),x77583),x77581)),x77584)) % 169.26/169.09 [8461]~P1(f317(f150(x84611,x84613),x84614))+~P1(f317(f150(x84611,x84612),x84614))+P1(f317(f150(x84611,f317(f317(f92(f906(x84611,a894)),x84612),x84613)),x84614)) % 169.26/169.09 [8833]~E(f317(f317(f279(x88331,x88331,x88331),x88332),x88334),f178(f906(f905(x88331,x88331),a894)))+~E(f317(f317(f279(x88331,x88331,x88331),x88332),x88333),f178(f906(f905(x88331,x88331),a894)))+E(f317(f317(f279(x88331,x88331,x88331),x88332),f317(f317(f91(f906(f905(x88331,x88331),a894)),x88333),x88334)),f178(f906(f905(x88331,x88331),a894))) % 169.26/169.09 [8959]~P1(f317(f317(f224(f906(x89591,a894)),x89593),x89594))+~P1(f317(f317(f224(f906(x89591,a894)),x89592),x89594))+P1(f317(f317(f224(f906(x89591,a894)),f317(f317(f91(f906(x89591,a894)),x89592),x89593)),x89594)) % 169.26/169.09 [9335]~P1(f317(f28(x93351),x93354))+~P1(f317(f28(x93351),x93353))+E(f317(f317(f23(a897),f317(f317(f74(a897),f317(f317(f6(x93351,a897),x93352),x93353)),f317(f317(f6(x93351,a897),x93352),x93354))),f317(f317(f6(x93351,a897),x93352),f317(f317(f92(f906(x93351,a894)),x93353),x93354))),f317(f317(f6(x93351,a897),x93352),f317(f317(f91(f906(x93351,a894)),x93353),x93354))) % 169.26/169.09 [9428]~P1(f317(f317(f319(x94281),x94283),x94282))+~P1(f317(f317(f224(f906(x94281,a894)),x94282),f317(f317(f299(x94281),x94283),x94284)))+P1(f317(f317(f224(f906(x94281,a894)),f317(f317(f23(f906(x94281,a894)),x94282),f317(f317(f299(x94281),x94283),f178(f906(x94281,a894))))),x94284)) % 169.26/169.09 [9604]~P1(f317(f317(f319(x96041),x96043),x96042))+P1(f317(f317(f224(f906(x96041,a894)),x96042),f317(f317(f299(x96041),x96043),x96044)))+~P1(f317(f317(f224(f906(x96041,a894)),f317(f317(f23(f906(x96041,a894)),x96042),f317(f317(f299(x96041),x96043),f178(f906(x96041,a894))))),x96044)) % 169.26/169.09 [9694]~P1(f317(f317(f224(a897),x96941),x96943))+~P1(f317(f317(f225(a897),x96942),x96944))+P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),f317(f317(f242(a897,a897),x96941),x96942)),f317(f317(f242(a897,a897),x96943),x96944))),a26)) % 169.26/169.09 [9695]~P1(f317(f317(f224(a897),x96952),x96954))+~P1(f317(f317(f224(a897),x96951),x96953))+P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),f317(f317(f242(a897,a897),x96951),x96952)),f317(f317(f242(a897,a897),x96953),x96954))),a65)) % 169.26/169.09 [9986]~P1(f317(f317(f319(f898(x99861)),x99864),f151(x99861,x99863)))+~P1(f317(f317(f319(f898(x99861)),x99864),f151(x99861,x99862)))+P1(f317(f150(x99861,f317(f317(f92(f906(x99861,a894)),f317(f317(f7(x99861,f906(x99861,a894),a894),f319(x99861)),x99862)),f317(f317(f7(x99861,f906(x99861,a894),a894),f319(x99861)),x99863))),x99864)) % 169.26/169.09 [10089]~P27(x100891,f906(f906(x100891,a894),a894),f317(f317(f7(x100891,f906(f905(x100891,x100891),a894),f906(f906(x100891,a894),a894)),f317(f317(f8(f906(x100891,a894),f906(f906(f905(x100891,x100891),a894),f906(f906(x100891,a894),a894)),x100891),f55(x100891)),f317(f317(f7(x100891,f906(x100891,a894),f906(x100891,a894)),f299(x100891)),f178(f906(x100891,a894))))),x100893),x100892)+~P1(f317(f317(f319(x100891),x100894),x100892))+E(f317(f317(f23(f906(f906(x100891,a894),a894)),f317(f317(f55(x100891),x100892),x100893)),f317(f317(f55(x100891),f317(f317(f299(x100891),x100894),f178(f906(x100891,a894)))),x100893)),f317(f317(f55(x100891),f317(f317(f23(f906(x100891,a894)),x100892),f317(f317(f299(x100891),x100894),f178(f906(x100891,a894))))),x100893)) % 169.26/169.09 [10225]~P55(x102251,x102252,x102254)+~P1(f317(f317(f319(f905(x102251,x102251)),x102253),x102254))+P1(f317(f317(f247(x102251,x102251,a894),f317(f317(f7(x102251,f906(x102251,a894),f906(x102251,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x102251,a894),f906(x102251,a894)),x102251),f8(a894,a894,x102251)),f317(f317(f8(a894,f906(a894,a894),x102251),a315),f317(f317(f7(x102251,f906(x102251,a894),a894),f319(x102251)),x102252)))),f317(f317(f7(x102251,f906(x102251,a894),a894),f319(x102251)),x102252))),x102253)) % 169.26/169.09 [10237]P1(f317(f28(x102371),x102372))+~P1(f317(f28(x102373),f317(f300(x102371,x102373,x102374),x102372)))+~P1(f317(f28(x102371),f317(f252(x102371),f317(f317(f18(x102371,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102371),a315),f317(f317(f7(x102371,f906(x102371,a894),a894),f319(x102371)),x102372))),f317(f317(f7(x102371,x102373,a894),f317(f317(f8(x102373,f906(x102373,a894),x102371),a314),x102374)),f317(x102374,f502(x102374,x102373,x102372,x102371))))))) % 169.26/169.09 [8213]~P65(x82132)+E(x82131,f2(x82132))+E(f317(f317(f281(x82132),f317(f317(f23(x82132),f317(f317(f75(x82132),x82131),x82133)),x82134)),x82131),f317(f317(f23(x82132),x82133),f317(f317(f281(x82132),x82134),x82131))) % 169.26/169.09 [8214]~P65(x82142)+E(x82141,f2(x82142))+E(f317(f317(f281(x82142),f317(f317(f74(x82142),f317(f317(f75(x82142),x82141),x82143)),x82144)),x82141),f317(f317(f74(x82142),x82143),f317(f317(f281(x82142),x82144),x82141))) % 169.26/169.09 [9119]~E(f317(f317(f279(x91191,x91191,x91191),x91193),x91194),f178(f906(f905(x91191,x91191),a894)))+~E(f317(f317(f279(x91191,x91191,x91191),x91192),x91194),f178(f906(f905(x91191,x91191),a894)))+E(f317(f317(f279(x91191,x91191,x91191),f317(f317(f91(f906(f905(x91191,x91191),a894)),x91192),x91193)),x91194),f178(f906(f905(x91191,x91191),a894))) % 169.26/169.09 [9903]~P1(f317(f150(x99031,x99033),x99034))+~P1(f317(f150(x99031,x99032),x99034))+P1(f317(f150(x99031,f317(f317(f18(x99031,a894,a894),f317(f317(f8(a894,f906(a894,a894),x99031),a315),x99032)),x99033)),x99034)) % 169.26/169.09 [10163]P1(f317(x101631,f495(x101632,x101633,x101631,x101634)))+~P1(f317(f28(x101634),f317(f252(x101634),x101631)))+P1(f317(f28(x101633),f317(f252(x101633),f317(f317(f8(f906(x101634,a894),a894,x101633),f81(x101634)),f317(f317(f8(f906(x101634,a894),f906(x101634,a894),x101633),f317(f18(x101634,a894,a894),f317(f317(f8(a894,f906(a894,a894),x101634),a315),x101631))),x101632))))) % 169.26/169.09 [10181]~P1(f317(f28(x101812),f317(f252(x101812),x101813)))+~P1(f317(f28(x101811),f317(f252(x101811),f317(f317(f7(x101811,x101812,a894),x101814),f495(x101814,x101811,x101813,x101812)))))+P1(f317(f28(x101811),f317(f252(x101811),f317(f317(f8(f906(x101812,a894),a894,x101811),f81(x101812)),f317(f317(f8(f906(x101812,a894),f906(x101812,a894),x101811),f317(f18(x101812,a894,a894),f317(f317(f8(a894,f906(a894,a894),x101812),a315),x101813))),x101814))))) % 169.26/169.09 [10250]~P1(f317(f28(x102501),x102504))+P1(f317(f317(f319(x102501),f774(x102502,x102503,x102504,x102501)),x102504))+P1(f317(f28(x102503),f317(f252(x102503),f317(f317(f8(f906(x102501,a894),a894,x102503),f81(x102501)),f317(f317(f8(f906(x102501,a894),f906(x102501,a894),x102503),f317(f18(x102501,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102501),a315),f317(f317(f7(x102501,f906(x102501,a894),a894),f319(x102501)),x102504)))),x102502))))) % 169.26/169.09 [10256]~P1(f317(f28(x102562),x102563))+~P1(f317(f28(x102561),f317(f252(x102561),f317(f317(f7(x102561,x102562,a894),x102564),f774(x102564,x102561,x102563,x102562)))))+P1(f317(f28(x102561),f317(f252(x102561),f317(f317(f8(f906(x102562,a894),a894,x102561),f81(x102562)),f317(f317(f8(f906(x102562,a894),f906(x102562,a894),x102561),f317(f18(x102562,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102562),a315),f317(f317(f7(x102562,f906(x102562,a894),a894),f319(x102562)),x102563)))),x102564))))) % 169.26/169.09 [5105]~E(x51052,x51054)+E(f159(x51051,x51052,x51053),f159(x51051,x51054,x51055))+~E(x51052,f2(a897)) % 169.26/169.09 [5352]E(x53521,x53522)+~E(f159(x53524,x53523,x53521),f159(x53524,x53525,x53522))+E(x53523,f2(a897)) % 169.26/169.09 [6647]E(x66471,x66472)+~E(f317(x66473,x66471),f317(x66473,x66472))+~P27(x66474,x66475,x66473,f232(f906(x66474,a894))) % 169.26/169.09 [7557]E(x75571,x75572)+~P27(x75573,x75574,x75575,f232(f906(x75573,a894)))+~E(f317(f300(x75573,x75574,x75575),x75571),f317(f300(x75573,x75574,x75575),x75572)) % 169.26/169.09 [7811]P27(x78112,x78113,f357(x78114,x78113,x78112,x78111),x78111)+~E(f317(f300(x78113,x78112,x78115),x78114),x78111)+E(x78111,f178(f906(x78112,a894))) % 169.26/169.09 [8343]~P1(f317(f317(x83433,x83432),x83435))+~P1(f317(f317(x83433,x83434),x83432))+P1(f317(f317(f319(x83431),x83432),f280(x83431,x83433,x83434,x83435))) % 169.26/169.09 [8344]~P1(f317(f317(x83443,x83442),x83445))+~P1(f317(f317(x83443,x83444),x83442))+P1(f317(f317(f319(x83441),x83442),f289(x83441,x83443,x83444,x83445))) % 169.26/169.09 [8650]~P27(x86501,x86502,x86503,x86504)+P28(x86501,x86502,x86503,x86504,x86505)+~E(f317(f300(x86501,x86502,x86503),x86504),x86505) % 169.26/169.09 [8783]~P28(x87831,x87833,x87834,x87832,x87835)+~P1(f317(f28(x87833),x87835))+P1(f317(f28(x87831),x87832)) % 169.26/169.09 [8784]~P28(x87843,x87841,x87844,x87845,x87842)+~P1(f317(f28(x87843),x87845))+P1(f317(f28(x87841),x87842)) % 169.26/169.09 [8916]~P27(x89161,x89163,x89165,f232(f906(x89161,a894)))+~P27(x89163,x89162,x89164,f232(f906(x89163,a894)))+P27(x89161,x89162,f317(f67(x89163,x89162,x89161,x89164),x89165),f232(f906(x89161,a894))) % 169.26/169.09 [9487]P1(f317(f317(f319(f905(x94871,x94871)),f317(f317(f242(x94871,x94871),x94872),x94873)),f297(x94871,x94874)))+~P1(f317(f317(f319(f905(x94871,x94871)),f317(f317(f242(x94871,x94871),x94872),x94875)),f297(x94871,x94874)))+~P1(f317(f317(f319(f905(x94871,x94871)),f317(f317(f242(x94871,x94871),x94875),x94873)),f297(x94871,x94874))) % 169.26/169.09 [9527]~P4(x95272)+~P1(f317(f127(x95271),x95275))+P1(f317(f127(x95271),f139(x95271,x95272,x95273,x95274,x95275))) % 169.26/169.09 [5429]~E(x54292,f103(x54291))+E(f317(f317(f124(x54291),x54292),x54293),f317(f317(f141(x54291),x54294),x54295))+~E(x54293,f317(f317(f141(x54291),x54294),x54295)) % 169.26/169.09 [5430]~E(x54302,f103(x54301))+E(f317(f317(f124(x54301),x54302),x54303),f317(f317(f141(x54301),x54304),x54305))+~E(f317(f317(f141(x54301),x54304),x54305),x54303) % 169.26/169.09 [6603]~E(f317(f179(f898(x66031)),x66035),f317(f179(f898(x66032)),x66034))+E(f317(f317(f144(f905(x66031,x66032),x66032),f246(x66031,x66032)),x66033),x66034)+~E(f317(f317(f171(x66031,x66032),x66035),x66034),x66033) % 169.26/169.09 [6604]~E(f317(f179(f898(x66041)),x66044),f317(f179(f898(x66042)),x66045))+E(f317(f317(f144(f905(x66041,x66042),x66041),f241(x66041,x66042)),x66043),x66044)+~E(f317(f317(f171(x66041,x66042),x66044),x66045),x66043) % 169.26/169.09 [7093]~P4(x70931)+~P16(x70931,f317(f317(f144(x70932,x70931),x70933),x70935))+P16(x70931,f317(f317(f144(x70932,x70931),x70933),f317(f126(x70932,x70934),x70935))) % 169.26/169.09 [7235]~P4(x72351)+P16(x72351,f317(f317(f144(x72352,x72351),x72353),f160(x72352,x72354,x72355)))+~P16(x72351,f317(f317(f144(x72352,x72351),x72353),x72355)) % 169.26/169.09 [7258]~P57(x72583,x72582,x72585)+~P57(x72581,x72583,x72584)+P57(x72581,x72582,f317(f317(f279(x72581,x72583,x72582),x72584),x72585)) % 169.26/169.09 [7353]E(x73531,x73532)+~P27(x73533,x73534,x73535,f232(f906(x73533,a894)))+~E(f317(f317(f144(x73533,x73534),x73535),x73531),f317(f317(f144(x73533,x73534),x73535),x73532)) % 169.26/169.09 [7512]~P1(f317(f317(f224(a897),x75121),f317(x75123,x75125)))+P1(f317(f317(f224(a897),x75121),f145(x75122,x75123,x75124)))+~P1(f317(f317(f319(x75122),x75125),f317(f162(x75122),x75124))) % 169.26/169.09 [7513]~P1(f317(f317(f225(a897),x75131),f317(x75133,x75135)))+P1(f317(f317(f225(a897),x75131),f145(x75132,x75133,x75134)))+~P1(f317(f317(f319(x75132),x75135),f317(f162(x75132),x75134))) % 169.26/169.09 [7908]P1(f317(x79081,x79082))+~P1(f317(x79081,x79083))+~P1(f317(f317(f319(x79084),x79082),f317(f162(x79084),f159(x79084,x79085,x79083)))) % 169.26/169.09 [7909]P1(f317(x79091,x79092))+~P1(f317(x79091,x79093))+~P1(f317(f317(f319(x79094),x79093),f317(f162(x79094),f159(x79094,x79095,x79092)))) % 169.26/169.09 [7914]~P109(x79141)+P1(f317(f317(f224(f906(x79141,a894)),f293(x79141,x79142,x79143)),f293(x79141,x79144,x79145)))+P1(f317(f317(f224(x79141),x79142),x79143)) % 169.26/169.09 [7935]~P8(x79351)+P1(f317(f317(f224(x79351),f317(f317(f35(x79352,x79351),x79353),x79354)),f317(x79354,x79355)))+~P1(f317(f317(f319(x79352),x79355),x79353)) % 169.26/169.09 [8004]~P27(x80041,x80042,x80044,x80043)+E(f317(f71(x80041,x80042,x80043,x80044),f317(x80044,x80045)),x80045)+~P1(f317(f317(f319(x80041),x80045),x80043)) % 169.26/169.09 [8005]~P27(x80051,x80052,x80054,x80053)+E(f317(f85(x80051,x80052,x80053,x80054),f317(x80054,x80055)),x80055)+~P1(f317(f317(f319(x80051),x80055),x80053)) % 169.26/169.09 [8202]~P1(f317(x82021,x82025))+P1(f317(x82021,f325(x82021,x82022,x82023,x82024)))+~P1(f317(f317(f319(x82024),x82025),x82023)) % 169.26/169.09 [8203]~P1(f317(x82031,x82035))+P1(f317(x82031,f325(x82031,x82032,x82033,x82034)))+~P1(f317(f317(f319(x82034),x82035),x82032)) % 169.26/169.09 [8297]P1(f317(f28(x82971),x82972))+~P1(f317(f28(x82973),x82974))+~P1(f317(f317(f224(f906(x82971,a894)),x82972),f317(f300(x82973,x82971,x82975),x82974))) % 169.26/169.09 [8465]E(x84651,x84652)+~P27(x84653,x84654,x84655,f317(f317(f91(f906(x84653,a894)),f317(f162(x84653),x84651)),f317(f162(x84653),x84652)))+~E(f317(f317(f144(x84653,x84654),x84655),x84651),f317(f317(f144(x84653,x84654),x84655),x84652)) % 169.26/169.09 [8518]~P109(x85181)+~P1(f317(f317(f225(f906(x85181,a894)),f293(x85181,x85184,x85185)),f293(x85181,x85182,x85183)))+P1(f317(f317(f224(x85181),x85182),x85183)) % 169.26/169.09 [8580]~P27(x85801,x85804,x85805,f232(f906(x85801,a894)))+~P1(f317(f317(f319(x85804),f317(x85805,x85802)),f317(f300(x85801,x85804,x85805),x85803)))+P1(f317(f317(f319(x85801),x85802),x85803)) % 169.26/169.09 [8656]P1(f317(x86561,x86562))+~P1(f317(x86561,f326(x86561,x86563,x86564,x86565)))+~P1(f317(f317(f319(x86565),x86562),x86564)) % 169.26/169.09 [8657]P1(f317(x86571,x86572))+~P1(f317(x86571,f326(x86571,x86573,x86574,x86575)))+~P1(f317(f317(f319(x86575),x86572),x86573)) % 169.26/169.09 [8956]~P27(x89562,x89563,x89561,x89564)+E(f317(x89561,f317(f71(x89562,x89563,x89564,x89561),x89565)),x89565)+~P1(f317(f317(f319(x89563),x89565),f317(f300(x89562,x89563,x89561),x89564))) % 169.26/169.09 [9059]E(x90591,f103(x90592))+E(f317(f317(f141(x90592),x90593),f657(x90594,x90593,x90595,x90591,x90592)),x90591)+~E(f317(f317(f124(x90592),x90591),x90595),f317(f317(f141(x90592),x90593),x90594)) % 169.26/169.09 [9060]E(x90601,f103(x90602))+E(f317(f317(f141(x90602),x90603),f658(x90604,x90601,x90605,x90603,x90602)),x90601)+~E(f317(f317(f124(x90602),x90601),x90604),f317(f317(f141(x90602),x90603),x90605)) % 169.26/169.09 [9078]E(f317(f317(f141(x90782),x90783),f657(x90784,x90783,x90781,x90785,x90782)),x90785)+~E(f317(f317(f124(x90782),x90785),x90781),f317(f317(f141(x90782),x90783),x90784))+E(x90781,f317(f317(f141(x90782),x90783),x90784)) % 169.26/169.09 [9079]E(f317(f317(f141(x90791),x90792),f658(x90794,x90795,x90793,x90792,x90791)),x90795)+~E(f317(f317(f124(x90791),x90795),x90794),f317(f317(f141(x90791),x90792),x90793))+E(f317(f317(f141(x90791),x90792),x90793),x90794) % 169.26/169.09 [9156]~E(f317(f300(x91563,x91562,x91564),f232(f906(x91563,a894))),f232(f906(x91562,a894)))+~E(f317(f300(x91561,x91563,x91565),f232(f906(x91561,a894))),f232(f906(x91563,a894)))+E(f317(f300(x91561,x91562,f317(f67(x91563,x91562,x91561,x91564),x91565)),f232(f906(x91561,a894))),f232(f906(x91562,a894))) % 169.26/169.09 [9393]E(f317(f300(x93931,x93932,x93933),f850(x93934,x93933,x93931,x93935,x93932)),x93935)+~P1(f317(f28(x93932),x93935))+~P1(f317(f317(f224(f906(x93932,a894)),x93935),f317(f300(x93931,x93932,x93933),x93934))) % 169.26/169.09 [9533]E(x95331,f103(x95332))+~E(f317(f317(f124(x95332),x95331),x95333),f317(f317(f141(x95332),x95335),x95334))+E(f317(f317(f124(x95332),f658(x95333,x95331,x95334,x95335,x95332)),x95333),x95334) % 169.26/169.09 [9534]E(x95341,f103(x95342))+~E(f317(f317(f124(x95342),x95341),x95345),f317(f317(f141(x95342),x95344),x95343))+E(f317(f317(f124(x95342),f657(x95343,x95344,x95345,x95341,x95342)),x95345),x95343) % 169.26/169.09 [9541]E(f317(f317(f124(x95412),f657(x95414,x95413,x95411,x95415,x95412)),x95411),x95414)+~E(f317(f317(f124(x95412),x95415),x95411),f317(f317(f141(x95412),x95413),x95414))+E(x95411,f317(f317(f141(x95412),x95413),x95414)) % 169.26/169.09 [9542]~E(f317(f317(f124(x95421),x95425),x95424),f317(f317(f141(x95421),x95422),x95423))+E(f317(f317(f124(x95421),f658(x95424,x95425,x95423,x95422,x95421)),x95424),x95423)+E(f317(f317(f141(x95421),x95422),x95423),x95424) % 169.26/169.09 [9543]E(f317(f317(f124(x95431),x95435),f662(x95433,x95432,x95434,x95435,x95431)),x95432)+E(f317(f317(f124(x95431),x95432),f661(x95433,x95432,x95434,x95435,x95431)),x95435)+~E(f317(f317(f124(x95431),x95435),x95434),f317(f317(f124(x95431),x95432),x95433)) % 169.26/169.09 [9580]~P4(x95801)+P16(x95801,f317(f317(f144(x95802,x95801),x95803),f139(x95802,x95801,x95803,x95804,x95805)))+~P16(x95801,f317(f317(f144(x95802,x95801),x95803),x95805)) % 169.26/169.09 [9599]~P61(x95995,x95991,x95994,x95993)+P1(f317(f317(x95991,x95992),f464(x95993,x95994,x95991,x95995,x95992)))+~P1(f317(f317(f319(x95995),x95992),x95994)) % 169.26/169.09 [9600]~P61(x96005,x96001,x96004,x96003)+P1(f317(f317(x96001,x96002),f779(x96003,x96004,x96001,x96005,x96002)))+~P1(f317(f317(f319(x96005),x96002),x96004)) % 169.26/169.09 [9654]~P1(f317(f28(x96545),x96544))+P1(f317(f28(x96541),f850(x96542,x96543,x96541,x96544,x96545)))+~P1(f317(f317(f224(f906(x96545,a894)),x96544),f317(f300(x96541,x96545,x96543),x96542))) % 169.26/169.09 [9706]~P1(f317(f317(f319(f905(x97061,x97061)),f317(f317(f242(x97061,x97061),x97065),x97063)),f297(x97061,x97064)))+P1(f317(f317(f319(f905(x97061,x97061)),f317(f317(f242(x97061,x97061),x97062),x97063)),f317(f317(f279(x97061,x97061,x97061),x97064),f297(x97061,x97064))))+~P1(f317(f317(f319(f905(x97061,x97061)),f317(f317(f242(x97061,x97061),x97062),x97065)),f317(f317(f279(x97061,x97061,x97061),x97064),f297(x97061,x97064)))) % 169.26/169.09 [9707]~P1(f317(f317(f319(f905(x97071,x97071)),f317(f317(f242(x97071,x97071),x97072),x97075)),f297(x97071,x97074)))+P1(f317(f317(f319(f905(x97071,x97071)),f317(f317(f242(x97071,x97071),x97072),x97073)),f317(f317(f279(x97071,x97071,x97071),x97074),f297(x97071,x97074))))+~P1(f317(f317(f319(f905(x97071,x97071)),f317(f317(f242(x97071,x97071),x97075),x97073)),f317(f317(f279(x97071,x97071,x97071),x97074),f297(x97071,x97074)))) % 169.26/169.09 [9709]P1(f317(f317(f319(f905(f898(x97091),f898(x97091))),f317(f317(f242(f898(x97091),f898(x97091)),x97092),x97093)),f148(x97091,f297(x97091,x97094))))+~P1(f317(f317(f319(f905(f898(x97091),f898(x97091))),f317(f317(f242(f898(x97091),f898(x97091)),x97092),x97095)),f148(x97091,f297(x97091,x97094))))+~P1(f317(f317(f319(f905(f898(x97091),f898(x97091))),f317(f317(f242(f898(x97091),f898(x97091)),x97095),x97093)),f148(x97091,f297(x97091,x97094)))) % 169.26/169.09 [9713]E(f317(f317(f124(x97131),x97132),f661(x97133,x97132,x97134,x97135,x97131)),x97135)+E(f317(f317(f124(x97131),f662(x97133,x97132,x97134,x97135,x97131)),x97133),x97134)+~E(f317(f317(f124(x97131),x97132),x97133),f317(f317(f124(x97131),x97135),x97134)) % 169.26/169.09 [9714]E(f317(f317(f124(x97141),x97142),f662(x97143,x97144,x97145,x97142,x97141)),x97144)+E(f317(f317(f124(x97141),f661(x97143,x97144,x97145,x97142,x97141)),x97145),x97143)+~E(f317(f317(f124(x97141),x97142),x97145),f317(f317(f124(x97141),x97144),x97143)) % 169.26/169.09 [9768]P1(f317(f317(f319(f905(x97681,x97681)),f317(f317(f242(x97681,x97681),x97682),x97683)),f317(f317(f279(x97681,x97681,x97681),x97684),f297(x97681,x97684))))+~P1(f317(f317(f319(f905(x97681,x97681)),f317(f317(f242(x97681,x97681),x97682),x97685)),f317(f317(f279(x97681,x97681,x97681),x97684),f297(x97681,x97684))))+~P1(f317(f317(f319(f905(x97681,x97681)),f317(f317(f242(x97681,x97681),x97685),x97683)),f317(f317(f279(x97681,x97681,x97681),x97684),f297(x97681,x97684)))) % 169.26/169.09 [9795]P36(x97951,x97952,x97953,x97954,x97955)+~E(f317(f179(f898(x97951)),x97954),f317(f179(f898(x97952)),x97955))+~P1(f317(f317(f247(x97951,x97952,a894),x97953),f678(x97955,x97954,x97953,x97952,x97951))) % 169.26/169.09 [9796]P36(x97961,x97962,x97963,x97964,x97965)+~E(f317(f179(f898(x97961)),x97964),f317(f179(f898(x97962)),x97965))+~P1(f317(f317(f247(x97961,x97962,a894),x97963),f679(x97963,x97965,x97964,x97962,x97961))) % 169.26/169.09 [9801]E(f317(f317(f124(x98011),f661(x98012,x98013,x98014,x98015,x98011)),x98014),x98012)+~E(f317(f317(f124(x98011),x98013),x98012),f317(f317(f124(x98011),x98015),x98014))+E(f317(f317(f124(x98011),f662(x98012,x98013,x98014,x98015,x98011)),x98012),x98014) % 169.26/169.09 [9816]~P4(x98162)+E(f317(f317(f138(x98161,x98162,x98163),x98164),x98165),f317(f317(f141(x98161),x98164),x98165))+P1(f317(f317(f319(x98161),f722(x98164,x98163,x98165,x98161,x98162)),f317(f162(x98161),x98165))) % 169.26/169.09 [9820]~P61(x98201,x98204,x98203,x98202)+~P1(f317(f317(f319(x98201),x98205),x98203))+P1(f317(f317(f319(x98201),f464(x98202,x98203,x98204,x98201,x98205)),x98202)) % 169.26/169.09 [9821]~P61(x98211,x98214,x98213,x98212)+~P1(f317(f317(f319(x98211),x98215),x98213))+P1(f317(f317(f319(x98211),f779(x98212,x98213,x98214,x98211,x98215)),x98212)) % 169.26/169.09 [9875]~P1(f317(f28(x98755),x98754))+~P1(f317(f317(f224(f906(x98755,a894)),x98754),f317(f300(x98751,x98755,x98753),x98752)))+P1(f317(f317(f224(f906(x98751,a894)),f850(x98752,x98753,x98751,x98754,x98755)),x98752)) % 169.26/169.09 [9936]~P1(f317(f317(f319(f905(f906(x99361,a894),f906(x99361,a894))),f317(f317(f242(f906(x99361,a894),f906(x99361,a894)),x99364),x99363)),f308(x99361,x99362)))+~P1(f317(f317(f319(x99361),x99365),x99364))+P1(f317(f317(f319(x99361),f545(x99362,x99363,x99364,x99361,x99365)),x99363)) % 169.26/169.09 [9946]~P4(x99462)+E(f317(f317(f138(x99461,x99462,x99463),x99464),x99465),f317(f317(f141(x99461),x99464),x99465))+~P1(f317(f317(f224(x99462),f317(x99463,x99464)),f317(x99463,f722(x99464,x99463,x99465,x99461,x99462)))) % 169.26/169.09 [9995]~P27(x99953,x99954,x99955,f232(f906(x99953,a894)))+P1(f317(x99951,x99952))+~P1(f317(x99951,f317(f85(x99953,x99954,f232(f906(x99953,a894)),x99955),f792(x99952,x99951,x99955,x99954,x99953)))) % 169.26/169.09 [10140]P36(x101401,x101402,x101403,x101404,x101405)+~E(f317(f179(f898(x101401)),x101404),f317(f179(f898(x101402)),x101405))+~P1(f317(f317(x101403,f317(f317(f154(x101401),x101404),f680(x101405,x101404,x101403,x101402,x101401))),f317(f317(f154(x101402),x101405),f680(x101405,x101404,x101403,x101402,x101401)))) % 169.26/169.09 [10141]P36(x101411,x101412,x101413,x101414,x101415)+~E(f317(f179(f898(x101411)),x101414),f317(f179(f898(x101412)),x101415))+~P1(f317(f317(x101413,f317(f317(f154(x101411),x101414),f715(x101413,x101415,x101412,x101414,x101411))),f317(f317(f154(x101412),x101415),f715(x101413,x101415,x101412,x101414,x101411)))) % 169.26/169.09 [6678]~P20(x66782,x66785,x66781)+~P1(f317(f28(x66782),x66784))+E(f317(x66781,f317(f317(f299(x66782),x66783),x66784)),f317(f317(f58(x66782,x66782,x66785),x66783),x66784)) % 169.26/169.09 [6679]~E(x66793,x66794)+~E(x66792,x66795)+E(f317(f317(f299(x66791),x66792),f317(f317(f299(x66791),x66793),f178(f906(x66791,a894)))),f317(f317(f299(x66791),x66794),f317(f317(f299(x66791),x66795),f178(f906(x66791,a894))))) % 169.26/169.09 [6690]P1(f317(x66902,x66905))+E(f167(x66901,x66902,f317(f317(f124(x66901),x66903),x66904)),f167(x66901,x66902,x66903))+~P1(f317(f317(f319(x66901),x66905),f317(f162(x66901),x66903))) % 169.26/169.09 [6728]E(f317(x67281,x67282),f178(f906(x67283,a894)))+~E(f317(f317(f34(x67284,f906(x67283,a894)),x67285),x67281),f178(f906(x67283,a894)))+~P1(f317(f317(f319(x67284),x67282),x67285)) % 169.26/169.09 [6729]E(f317(x67291,x67292),f232(f906(x67293,a894)))+~E(f317(f317(f35(x67294,f906(x67293,a894)),x67295),x67291),f232(f906(x67293,a894)))+~P1(f317(f317(f319(x67294),x67292),x67295)) % 169.26/169.09 [7245]~E(x72452,x72454)+~P146(x72451)+E(f317(f317(f74(x72451),f317(f317(f75(x72451),x72452),x72453)),f317(f317(f75(x72451),x72454),x72455)),f317(f317(f74(x72451),f317(f317(f75(x72451),x72452),x72455)),f317(f317(f75(x72451),x72454),x72453))) % 169.26/169.09 [7307]~P8(x73071)+~P1(f317(f317(f319(x73074),x73073),x73075))+P1(f317(f317(f224(x73071),f317(x73072,x73073)),f317(f317(f34(x73074,x73071),x73075),x73072))) % 169.26/169.09 [7358]~P3(x73581)+P1(f317(f317(f224(x73581),f317(x73582,x73583)),f317(x73584,x73583)))+~P1(f317(f317(f224(f906(x73585,x73581)),x73582),x73584)) % 169.26/169.09 [7481]E(x74811,x74812)+E(x74813,x74811)+~E(f317(f317(f299(x74814),x74811),f317(f317(f299(x74814),x74815),f178(f906(x74814,a894)))),f317(f317(f299(x74814),x74812),f317(f317(f299(x74814),x74813),f178(f906(x74814,a894))))) % 169.26/169.09 [7482]E(x74821,x74822)+E(x74823,x74821)+~E(f317(f317(f299(x74824),x74823),f317(f317(f299(x74824),x74822),f178(f906(x74824,a894)))),f317(f317(f299(x74824),x74825),f317(f317(f299(x74824),x74821),f178(f906(x74824,a894))))) % 169.26/169.09 [7483]E(x74831,x74832)+E(x74831,x74833)+~E(f317(f317(f299(x74834),x74833),f317(f317(f299(x74834),x74832),f178(f906(x74834,a894)))),f317(f317(f299(x74834),x74835),f317(f317(f299(x74834),x74831),f178(f906(x74834,a894))))) % 169.26/169.09 [7484]E(x74841,x74842)+E(x74841,x74843)+~E(f317(f317(f299(x74844),x74841),f317(f317(f299(x74844),x74845),f178(f906(x74844,a894)))),f317(f317(f299(x74844),x74842),f317(f317(f299(x74844),x74843),f178(f906(x74844,a894))))) % 169.26/169.09 [8014]P27(x80141,x80142,x80143,x80144)+~P27(x80141,x80142,x80143,x80145)+~P1(f317(f317(f224(f906(x80141,a894)),x80144),x80145)) % 169.26/169.09 [8044]~E(f317(x80443,x80445),x80444)+~P27(x80441,x80442,x80443,f232(f906(x80441,a894)))+E(f317(f85(x80441,x80442,f232(f906(x80441,a894)),x80443),x80444),x80445) % 169.26/169.09 [8190]E(x81901,x81902)+~E(f317(f300(x81903,x81904,x81905),x81901),f317(f300(x81903,x81904,x81905),x81902))+~P27(x81903,x81904,x81905,f317(f317(f91(f906(x81903,a894)),x81901),x81902)) % 169.26/169.09 [8267]P1(f317(x82672,x82674))+E(f317(f317(f128(x82671),f317(f179(f898(x82671)),f167(x82671,x82672,x82673))),x82673),f317(f317(f141(x82671),x82674),x82675))+~E(f317(f317(f124(x82671),f167(x82671,x82672,x82673)),f317(f317(f141(x82671),x82674),x82675)),x82673) % 169.26/169.09 [8295]~P27(x82951,x82952,x82953,x82955)+~P27(x82951,x82952,x82953,x82954)+P27(x82951,x82952,x82953,f317(f317(f92(f906(x82951,a894)),x82954),x82955)) % 169.26/169.09 [8403]~P76(x84031)+E(f317(f317(f74(x84031),f317(x84032,x84033)),f317(f155(x84031),f317(f317(f144(x84034,x84031),x84032),f160(x84034,x84033,x84035)))),f317(f155(x84031),f317(f317(f144(x84034,x84031),x84032),x84035)))+~P1(f317(f317(f319(x84034),x84033),f317(f162(x84034),x84035))) % 169.26/169.09 [8491]~P4(x84911)+~P16(x84911,f317(f317(f144(x84912,x84911),x84913),x84915))+P16(x84911,f317(f317(f144(x84912,x84911),x84913),f317(f317(f138(x84912,x84911,x84913),x84914),x84915))) % 169.26/169.09 [8576]~P8(x85761)+P1(f317(f317(f224(x85761),f317(f317(f34(x85762,x85761),x85763),x85764)),f317(f317(f34(x85762,x85761),x85765),x85764)))+~P1(f317(f317(f224(f906(x85762,a894)),x85763),x85765)) % 169.26/169.09 [8577]~P8(x85771)+P1(f317(f317(f224(x85771),f317(f317(f35(x85772,x85771),x85773),x85774)),f317(f317(f35(x85772,x85771),x85775),x85774)))+~P1(f317(f317(f224(f906(x85772,a894)),x85775),x85773)) % 169.26/169.09 [8610]~P4(x86103)+P1(f317(f127(x86101),x86102))+~P1(f317(f127(x86101),f317(f317(f138(x86101,x86103,x86104),x86105),x86102))) % 169.26/169.09 [8755]~P4(x87551)+~P1(f317(f317(f319(x87552),x87553),f317(f162(x87552),x87554)))+~P1(f317(f127(x87552),f317(f317(f138(x87552,x87551,x87555),x87553),x87554))) % 169.26/169.09 [8845]~P4(x88451)+P16(x88451,f317(f317(f144(x88452,x88451),x88453),x88454))+~P16(x88451,f317(f317(f144(x88452,x88451),x88453),f317(f317(f138(x88452,x88451,x88453),x88455),x88454))) % 169.26/169.09 [8891]~P27(x88912,x88911,x88914,x88913)+E(f317(f300(x88911,x88912,f85(x88912,x88911,x88913,x88914)),f317(f300(x88912,x88911,x88914),x88915)),x88915)+~P1(f317(f317(f224(f906(x88912,a894)),x88915),x88913)) % 169.26/169.09 [8944]~P4(x89442)+E(f317(f317(f138(x89441,x89442,x89443),x89444),x89445),f139(x89441,x89442,x89443,x89444,x89445))+P1(f317(f317(f319(x89442),f317(x89443,x89444)),f317(f300(x89441,x89442,x89443),f317(f162(x89441),x89445)))) % 169.26/169.09 [9025]~P4(x90252)+E(f139(x90251,x90252,x90253,x90254,x90255),x90255)+~P1(f317(f317(f319(x90252),f317(x90253,x90254)),f317(f300(x90251,x90252,x90253),f317(f162(x90251),x90255)))) % 169.26/169.09 [9039]~P27(x90392,x90391,x90393,x90395)+P1(f317(f317(f225(f906(x90391,a894)),f317(f300(x90392,x90391,x90393),x90394)),f317(f300(x90392,x90391,x90393),x90395)))+~P1(f317(f317(f225(f906(x90392,a894)),x90394),x90395)) % 169.26/169.09 [9197]~P27(x91971,x91972,x91973,f232(f906(x91971,a894)))+~P1(f317(f317(f224(f906(x91972,a894)),x91974),f317(f300(x91971,x91972,x91973),x91975)))+P1(f317(f317(f224(f906(x91971,a894)),f317(f301(x91971,x91972,x91973),x91974)),x91975)) % 169.26/169.09 [9220]~E(f317(f300(x92203,x92201,x92204),f232(f906(x92203,a894))),f232(f906(x92201,a894)))+P1(f317(f317(f224(f906(x92201,a894)),x92202),f317(f300(x92203,x92201,x92204),x92205)))+~P1(f317(f317(f224(f906(x92203,a894)),f317(f301(x92203,x92201,x92204),x92202)),x92205)) % 169.26/169.09 [9327]~P27(x93271,x93274,x93275,f232(f906(x93271,a894)))+~P1(f317(f317(f224(f906(x93274,a894)),f317(f300(x93271,x93274,x93275),x93272)),f317(f300(x93271,x93274,x93275),x93273)))+P1(f317(f317(f224(f906(x93271,a894)),x93272),x93273)) % 169.26/169.09 [9455]~P83(x94551)+~E(f317(x94553,f698(x94553,x94554,x94555,x94552,x94551)),f2(x94551))+E(f317(f155(x94551),f317(f317(f144(x94552,x94551),x94553),f317(f126(x94552,x94554),x94555))),f317(f155(x94551),f317(f317(f144(x94552,x94551),x94553),x94555))) % 169.26/169.09 [9482]~P28(x94821,x94822,x94823,f232(f906(x94821,a894)),f232(f906(x94822,a894)))+~P1(f317(f317(f224(f906(x94822,a894)),x94824),f317(f300(x94821,x94822,x94823),x94825)))+P1(f317(f317(f224(f906(x94821,a894)),f317(f301(x94821,x94822,x94823),x94824)),x94825)) % 169.26/169.09 [9511]~P28(x95113,x95111,x95114,f232(f906(x95113,a894)),f232(f906(x95111,a894)))+P1(f317(f317(f224(f906(x95111,a894)),x95112),f317(f300(x95113,x95111,x95114),x95115)))+~P1(f317(f317(f224(f906(x95113,a894)),f317(f301(x95113,x95111,x95114),x95112)),x95115)) % 169.26/169.09 [9646]~P19(x96461,x96462,x96463)+~P1(f317(f28(x96461),x96465))+P1(f317(f60(x96461,x96462,x96463,x96464,x96465),f317(f317(f58(x96461,x96462,x96463),x96464),x96465))) % 169.26/169.09 [9726]~P28(x97262,x97261,x97264,f232(f906(x97262,a894)),f232(f906(x97261,a894)))+~P28(x97261,x97263,x97265,f232(f906(x97261,a894)),f232(f906(x97263,a894)))+E(f317(f67(x97261,x97262,x97263,f85(x97262,x97261,f232(f906(x97262,a894)),x97264)),f85(x97261,x97263,f232(f906(x97261,a894)),x97265)),f85(x97262,x97263,f232(f906(x97262,a894)),f317(f67(x97261,x97263,x97262,x97265),x97264))) % 169.26/169.09 [9727]P1(f317(x97271,f619(x97272,x97271,x97273,x97274,x97275)))+~P1(f317(f317(f224(f906(x97275,a894)),x97274),x97273))+P1(f317(f317(f224(f906(x97275,a894)),f317(f317(f92(f906(x97275,a894)),x97274),f317(f252(x97275),x97271))),f317(f317(f92(f906(x97275,a894)),x97273),f317(f252(x97275),x97272)))) % 169.26/169.09 [9741]~P83(x97411)+~P1(f317(x97414,f698(x97413,x97414,x97415,x97412,x97411)))+E(f317(f155(x97411),f317(f317(f144(x97412,x97411),x97413),f317(f126(x97412,x97414),x97415))),f317(f155(x97411),f317(f317(f144(x97412,x97411),x97413),x97415))) % 169.26/169.09 [9818]~P8(x98185)+P1(f317(f317(f319(x98181),f581(x98182,x98183,x98181,x98184,x98185)),x98183))+P1(f317(f317(f224(x98185),x98184),f317(f317(f35(x98181,x98185),x98183),x98182))) % 169.26/169.09 [9822]~P83(x98221)+E(f317(f155(x98221),f317(f317(f144(x98222,x98221),x98223),f317(f126(x98222,x98224),x98225))),f317(f155(x98221),f317(f317(f144(x98222,x98221),x98223),x98225)))+P1(f317(f317(f319(x98222),f698(x98223,x98224,x98225,x98222,x98221)),f317(f162(x98222),x98225))) % 169.26/169.09 [9832]~P1(f317(x98325,f619(x98325,x98323,x98324,x98322,x98321)))+~P1(f317(f317(f224(f906(x98321,a894)),x98322),x98324))+P1(f317(f317(f224(f906(x98321,a894)),f317(f317(f92(f906(x98321,a894)),x98322),f317(f252(x98321),x98323))),f317(f317(f92(f906(x98321,a894)),x98324),f317(f252(x98321),x98325)))) % 169.26/169.09 [9848]~P27(x98485,x98483,x98484,f232(f906(x98485,a894)))+P1(f317(x98481,x98482))+P1(f317(f317(f319(x98483),f792(x98482,x98481,x98484,x98483,x98485)),f317(f300(x98485,x98483,x98484),f232(f906(x98485,a894))))) % 169.26/169.09 [9871]P36(x98711,x98712,x98713,x98714,x98715)+~E(f317(f179(f898(x98712)),x98715),f317(f179(f898(x98711)),x98714))+P1(f317(f317(f225(a897),f680(x98715,x98714,x98713,x98712,x98711)),f317(f179(f898(x98711)),x98714))) % 169.26/169.09 [9872]P36(x98721,x98722,x98723,x98724,x98725)+~E(f317(f179(f898(x98722)),x98725),f317(f179(f898(x98721)),x98724))+P1(f317(f317(f225(a897),f715(x98723,x98725,x98722,x98724,x98721)),f317(f179(f898(x98721)),x98724))) % 169.26/169.09 [9904]P1(f317(f317(f319(x99041),f619(x99042,x99043,x99044,x99045,x99041)),x99045))+~P1(f317(f317(f224(f906(x99041,a894)),x99045),x99044))+P1(f317(f317(f224(f906(x99041,a894)),f317(f317(f92(f906(x99041,a894)),x99045),f317(f252(x99041),x99043))),f317(f317(f92(f906(x99041,a894)),x99044),f317(f252(x99041),x99042)))) % 169.26/169.09 [9947]~P8(x99471)+~P1(f317(f317(f224(x99471),x99472),f317(x99475,f581(x99475,x99474,x99473,x99472,x99471))))+P1(f317(f317(f224(x99471),x99472),f317(f317(f35(x99473,x99471),x99474),x99475))) % 169.26/169.09 [9984]~P79(x99841)+~P1(f317(f28(x99842),x99845))+E(f317(f317(f317(f59(x99841,x99842,f75(x99841)),f317(f317(f18(x99842,x99841,x99841),f317(f317(f8(x99841,f906(x99841,x99841),x99842),f75(x99841)),x99843)),x99844)),f72(x99841)),x99845),f317(f317(f75(x99841),f317(f317(f317(f59(x99841,x99842,f75(x99841)),x99843),f72(x99841)),x99845)),f317(f317(f317(f59(x99841,x99842,f75(x99841)),x99844),f72(x99841)),x99845))) % 169.26/169.09 [10039]~P1(f317(f317(f319(f905(f906(x100391,a894),f906(x100391,a894))),f317(f317(f242(f906(x100391,a894),f906(x100391,a894)),x100395),x100394)),f308(x100391,x100393)))+~P1(f317(f317(f319(x100391),x100392),x100395))+P1(f317(f317(f319(f905(x100391,x100391)),f317(f317(f242(x100391,x100391),x100392),f545(x100393,x100394,x100395,x100391,x100392))),x100393)) % 169.26/169.09 [10178]~P1(f317(f317(f319(f905(f898(x101781),f898(x101781))),f317(f317(f242(f898(x101781),f898(x101781)),f317(f317(f124(x101781),x101785),x101782)),f317(f317(f124(x101781),x101785),x101783))),f137(x101781,x101784)))+P1(f317(f317(f319(f905(f898(x101781),f898(x101781))),f317(f317(f242(f898(x101781),f898(x101781)),x101782),x101783)),f137(x101781,x101784)))+P1(f317(f317(f319(f905(x101781,x101781)),f317(f317(f242(x101781,x101781),f667(x101784,x101783,x101782,x101785,x101781)),f667(x101784,x101783,x101782,x101785,x101781))),x101784)) % 169.26/169.09 [7361]~E(x73613,x73615)+E(f317(f317(f154(x73611),f317(f317(f149(x73611,x73612),x73613),x73614)),x73615),x73614)+~P1(f317(f317(f225(a897),x73613),f317(f179(f898(x73611)),x73612))) % 169.26/169.09 [7477]~E(f317(f317(f124(x74771),x74772),x74774),f317(f317(f124(x74771),x74773),x74775))+E(f317(f317(f165(x74771),f317(f179(f898(x74771)),x74772)),x74773),x74772)+P1(f317(f317(f224(a897),f317(f179(f898(x74771)),x74773)),f317(f179(f898(x74771)),x74772))) % 169.26/169.09 [7975]~E(f317(f317(f124(x79751),x79752),x79754),f317(f317(f124(x79751),x79753),x79755))+E(f317(f317(f165(x79751),f317(f179(f898(x79751)),x79752)),x79753),x79752)+~P1(f317(f317(f224(a897),f317(f179(f898(x79751)),x79752)),f317(f179(f898(x79751)),x79753))) % 169.26/169.09 [7999]~P1(f317(f28(x79991),f317(x79994,x79995)))+~P1(f317(f317(f319(x79992),x79995),x79993))+P1(f317(f28(x79991),f317(f317(f35(x79992,f906(x79991,a894)),x79993),x79994))) % 169.26/169.09 [8174]~P55(x81741,x81743,x81745)+~P55(x81741,x81742,x81744)+P55(x81741,f317(f317(f91(f906(x81741,a894)),x81742),x81743),f317(f317(f91(f906(f905(x81741,x81741),a894)),x81744),x81745)) % 169.26/169.09 [8175]~P55(x81751,x81753,x81755)+~P55(x81751,x81752,x81754)+P55(x81751,f317(f317(f92(f906(x81751,a894)),x81752),x81753),f317(f317(f92(f906(f905(x81751,x81751),a894)),x81754),x81755)) % 169.26/169.09 [8531]E(f317(f317(f242(x85311,x85312),f317(f317(f154(x85311),x85313),x85314)),f317(f317(f154(x85312),x85315),x85314)),f317(f317(f154(f905(x85311,x85312)),f317(f317(f171(x85311,x85312),x85313),x85315)),x85314))+~P1(f317(f317(f225(a897),x85314),f317(f179(f898(x85311)),x85313)))+~P1(f317(f317(f225(a897),x85314),f317(f179(f898(x85312)),x85315))) % 169.26/169.09 [8684]~P55(x86841,x86843,x86844)+P1(f317(f317(f319(x86841),x86842),x86843))+~P1(f317(f317(f319(f905(x86841,x86841)),f317(f317(f242(x86841,x86841),x86845),x86842)),x86844)) % 169.26/169.09 [8685]~P55(x86851,x86853,x86854)+P1(f317(f317(f319(x86851),x86852),x86853))+~P1(f317(f317(f319(f905(x86851,x86851)),f317(f317(f242(x86851,x86851),x86852),x86855)),x86854)) % 169.26/169.09 [8686]~P11(x86861,x86863,x86864)+P1(f317(f317(f319(x86861),x86862),x86863))+~P1(f317(f317(f319(f905(x86861,x86861)),f317(f317(f242(x86861,x86861),x86865),x86862)),x86864)) % 169.26/169.09 [8687]~P11(x86871,x86873,x86874)+P1(f317(f317(f319(x86871),x86872),x86873))+~P1(f317(f317(f319(f905(x86871,x86871)),f317(f317(f242(x86871,x86871),x86872),x86875)),x86874)) % 169.26/169.09 [8968]~P11(x89681,x89685,x89682)+E(f317(f275(x89681,x89681,x89682),f317(f317(f299(x89681),x89683),f178(f906(x89681,a894)))),f317(f275(x89681,x89681,x89682),f317(f317(f299(x89681),x89684),f178(f906(x89681,a894)))))+~P1(f317(f317(f319(f905(x89681,x89681)),f317(f317(f242(x89681,x89681),x89683),x89684)),x89682)) % 169.26/169.09 [9153]P1(f317(x91531,x91532))+~P1(f317(f317(f319(x91533),x91532),x91535))+P1(f317(f317(f319(x91533),f326(x91531,x91534,x91535,x91533)),f317(f317(f91(f906(x91533,a894)),x91535),x91534))) % 169.26/169.09 [9154]P1(f317(x91541,x91542))+~P1(f317(f317(f319(x91543),x91542),x91544))+P1(f317(f317(f319(x91543),f326(x91541,x91544,x91545,x91543)),f317(f317(f91(f906(x91543,a894)),x91545),x91544))) % 169.26/169.09 [9162]~P1(f317(x91622,x91625))+~P1(f317(f317(f319(x91621),x91625),x91624))+P1(f317(f317(f319(x91621),f325(x91622,x91623,x91624,x91621)),f317(f317(f91(f906(x91621,a894)),x91624),x91623))) % 169.26/169.09 [9163]~P1(f317(x91632,x91635))+~P1(f317(f317(f319(x91631),x91635),x91633))+P1(f317(f317(f319(x91631),f325(x91632,x91633,x91634,x91631)),f317(f317(f91(f906(x91631,a894)),x91634),x91633))) % 169.26/169.09 [9178]~P1(f317(f317(f224(f906(x91781,a894)),x91785),x91783))+~P1(f317(f317(f224(f906(x91781,a894)),x91782),x91784))+P1(f317(f317(f224(f906(x91781,a894)),f317(f317(f23(f906(x91781,a894)),x91782),x91783)),f317(f317(f23(f906(x91781,a894)),x91784),x91785))) % 169.26/169.09 [9179]~P1(f317(f317(f224(f906(x91791,a894)),x91793),x91795))+~P1(f317(f317(f224(f906(x91791,a894)),x91792),x91794))+P1(f317(f317(f224(f906(x91791,a894)),f317(f317(f91(f906(x91791,a894)),x91792),x91793)),f317(f317(f91(f906(x91791,a894)),x91794),x91795))) % 169.26/169.09 [9180]~P1(f317(f317(f224(f906(x91801,a894)),x91803),x91805))+~P1(f317(f317(f224(f906(x91801,a894)),x91802),x91804))+P1(f317(f317(f224(f906(x91801,a894)),f317(f317(f92(f906(x91801,a894)),x91802),x91803)),f317(f317(f92(f906(x91801,a894)),x91804),x91805))) % 169.26/169.09 [9274]P1(f317(f317(f319(f905(x92741,x92741)),f317(f317(f242(x92741,x92741),x92742),x92743)),f311(x92741,x92744,x92745)))+~P1(f317(f317(f224(a897),f317(x92744,x92742)),f317(x92744,x92743)))+~P1(f317(f317(f319(f905(x92741,x92741)),f317(f317(f242(x92741,x92741),x92742),x92743)),x92745)) % 169.26/169.09 [9465]P1(f317(f317(f319(f905(x94651,x94651)),f317(f317(f242(x94651,x94651),x94652),x94653)),f297(x94651,x94654)))+~P1(f317(f317(f319(f905(x94651,x94651)),f317(f317(f242(x94651,x94651),x94652),x94655)),f297(x94651,x94654)))+~P1(f317(f317(f319(f905(x94651,x94651)),f317(f317(f242(x94651,x94651),x94655),x94653)),x94654)) % 169.26/169.09 [9466]P1(f317(f317(f319(f905(x94661,x94661)),f317(f317(f242(x94661,x94661),x94662),x94663)),f297(x94661,x94664)))+~P1(f317(f317(f319(f905(x94661,x94661)),f317(f317(f242(x94661,x94661),x94665),x94663)),f297(x94661,x94664)))+~P1(f317(f317(f319(f905(x94661,x94661)),f317(f317(f242(x94661,x94661),x94662),x94665)),x94664)) % 169.26/169.09 [9567]E(x95671,x95672)+E(f317(a102,f564(x95673,x95674,x95671,x95672,x95675)),x95674)+~P1(f317(f317(f319(f905(x95675,x95675)),f317(f317(f242(x95675,x95675),x95672),x95671)),f317(f317(f173(f905(x95675,x95675),a894),x95674),x95673))) % 169.26/169.09 [9568]E(x95681,x95682)+E(f317(a102,f566(x95683,x95684,x95681,x95682,x95685)),x95684)+~P1(f317(f317(f319(f905(x95685,x95685)),f317(f317(f242(x95685,x95685),x95682),x95681)),f317(f317(f173(f905(x95685,x95685),a894),x95684),x95683))) % 169.26/169.09 [9569]E(x95691,f2(a897))+E(f317(a102,f564(x95692,x95691,x95693,x95694,x95695)),x95691)+~P1(f317(f317(f319(f905(x95695,x95695)),f317(f317(f242(x95695,x95695),x95694),x95693)),f317(f317(f173(f905(x95695,x95695),a894),x95691),x95692))) % 169.26/169.09 [9570]E(x95701,f2(a897))+E(f317(a102,f566(x95702,x95701,x95703,x95704,x95705)),x95701)+~P1(f317(f317(f319(f905(x95705,x95705)),f317(f317(f242(x95705,x95705),x95704),x95703)),f317(f317(f173(f905(x95705,x95705),a894),x95701),x95702))) % 169.26/169.09 [9595]P1(f317(f317(f319(f905(x95951,x95951)),f317(f317(f242(x95951,x95951),x95952),x95953)),f317(f317(f279(x95951,x95951,x95951),x95954),f297(x95951,x95954))))+~P1(f317(f317(f319(f905(x95951,x95951)),f317(f317(f242(x95951,x95951),x95952),x95955)),x95954))+~P1(f317(f317(f319(f905(x95951,x95951)),f317(f317(f242(x95951,x95951),x95955),x95953)),x95954)) % 169.26/169.09 [9605]~P1(f317(f317(f319(f905(x96051,x96051)),f317(f317(f242(x96051,x96051),x96052),x96055)),f297(x96051,x96054)))+P1(f317(f317(f319(f905(x96051,x96051)),f317(f317(f242(x96051,x96051),x96052),x96053)),f317(f317(f279(x96051,x96051,x96051),x96054),f297(x96051,x96054))))+~P1(f317(f317(f319(f905(x96051,x96051)),f317(f317(f242(x96051,x96051),x96055),x96053)),x96054)) % 169.26/169.09 [9640]~P11(x96401,x96405,x96402)+~P1(f317(f317(f319(f905(x96401,x96401)),f317(f317(f242(x96401,x96401),x96403),x96404)),x96402))+P1(f317(f317(f224(f906(x96401,a894)),f317(f275(x96401,x96401,x96402),f317(f317(f299(x96401),x96403),f178(f906(x96401,a894))))),f317(f275(x96401,x96401,x96402),f317(f317(f299(x96401),x96404),f178(f906(x96401,a894)))))) % 169.26/169.09 [9699]P1(f317(f317(f319(f905(x96991,x96991)),f317(f317(f242(x96991,x96991),x96992),x96993)),f317(f317(f279(x96991,x96991,x96991),x96994),f297(x96991,x96994))))+~P1(f317(f317(f319(f905(x96991,x96991)),f317(f317(f242(x96991,x96991),x96992),x96995)),f317(f317(f279(x96991,x96991,x96991),x96994),f297(x96991,x96994))))+~P1(f317(f317(f319(f905(x96991,x96991)),f317(f317(f242(x96991,x96991),x96995),x96993)),x96994)) % 169.26/169.09 [9700]P1(f317(f317(f319(f905(x97001,x97001)),f317(f317(f242(x97001,x97001),x97002),x97003)),f317(f317(f279(x97001,x97001,x97001),x97004),f297(x97001,x97004))))+~P1(f317(f317(f319(f905(x97001,x97001)),f317(f317(f242(x97001,x97001),x97005),x97003)),f317(f317(f279(x97001,x97001,x97001),x97004),f297(x97001,x97004))))+~P1(f317(f317(f319(f905(x97001,x97001)),f317(f317(f242(x97001,x97001),x97002),x97005)),x97004)) % 169.26/169.09 [9750]~P1(f317(f60(x97501,x97501,x97504,x97502,x97503),x97505))+P1(f317(f317(f319(x97501),x97502),x97503))+P1(f317(f56(x97501,x97504,f317(f317(f299(x97501),x97502),x97503)),x97505)) % 169.26/169.09 [9788]~E(f317(f300(x97883,x97882,x97885),x97884),x97881)+E(x97881,f178(f906(x97882,a894)))+P1(f317(f317(f224(f906(x97883,a894)),f317(f300(x97882,x97883,f357(x97884,x97883,x97882,x97881)),x97881)),x97884)) % 169.26/169.09 [9835]~P8(x98355)+P1(f317(f317(f319(x98351),f442(x98352,x98353,x98354,x98351,x98355)),x98354))+P1(f317(f317(f224(x98355),f317(f317(f34(x98351,x98355),x98354),x98353)),x98352)) % 169.26/169.09 [9891]P36(x98911,x98912,x98913,x98914,x98915)+~E(f317(f179(f898(x98911)),x98914),f317(f179(f898(x98912)),x98915))+P1(f317(f317(f319(f905(x98911,x98912)),f678(x98915,x98914,x98913,x98912,x98911)),f317(f162(f905(x98911,x98912)),f317(f317(f171(x98911,x98912),x98914),x98915)))) % 169.26/169.09 [9892]P36(x98921,x98922,x98923,x98924,x98925)+~E(f317(f179(f898(x98921)),x98924),f317(f179(f898(x98922)),x98925))+P1(f317(f317(f319(f905(x98921,x98922)),f679(x98923,x98925,x98924,x98922,x98921)),f317(f162(f905(x98921,x98922)),f317(f317(f171(x98921,x98922),x98924),x98925)))) % 169.26/169.09 [10018]E(x100181,x100182)+P1(f317(f317(f319(f905(x100183,x100183)),f317(f317(f242(x100183,x100183),x100181),f567(x100184,x100185,x100182,x100181,x100183))),x100184))+~P1(f317(f317(f319(f905(x100183,x100183)),f317(f317(f242(x100183,x100183),x100181),x100182)),f317(f317(f173(f905(x100183,x100183),a894),x100185),x100184))) % 169.26/169.09 [10019]E(x100191,f2(a897))+P1(f317(f317(f319(f905(x100192,x100192)),f317(f317(f242(x100192,x100192),x100193),f567(x100194,x100191,x100195,x100193,x100192))),x100194))+~P1(f317(f317(f319(f905(x100192,x100192)),f317(f317(f242(x100192,x100192),x100193),x100195)),f317(f317(f173(f905(x100192,x100192),a894),x100191),x100194))) % 169.26/169.09 [10058]~P8(x100581)+~P1(f317(f317(f224(x100581),f317(x100584,f442(x100585,x100584,x100583,x100582,x100581))),x100585))+P1(f317(f317(f224(x100581),f317(f317(f34(x100582,x100581),x100583),x100584)),x100585)) % 169.26/169.09 [10110]E(x101101,x101102)+P1(f317(f317(f319(f905(x101103,x101103)),f317(f317(f242(x101103,x101103),f565(x101104,x101105,x101101,x101102,x101103)),x101101)),x101104))+~P1(f317(f317(f319(f905(x101103,x101103)),f317(f317(f242(x101103,x101103),x101102),x101101)),f317(f317(f173(f905(x101103,x101103),a894),x101105),x101104))) % 169.26/169.09 [10111]E(x101111,f2(a897))+P1(f317(f317(f319(f905(x101112,x101112)),f317(f317(f242(x101112,x101112),f565(x101113,x101111,x101114,x101115,x101112)),x101114)),x101113))+~P1(f317(f317(f319(f905(x101112,x101112)),f317(f317(f242(x101112,x101112),x101115),x101114)),f317(f317(f173(f905(x101112,x101112),a894),x101111),x101113))) % 169.26/169.09 [10115]E(x101151,x101152)+P1(f317(f317(f319(f905(x101153,x101153)),f317(f317(f242(x101153,x101153),x101151),f565(x101154,x101155,x101152,x101151,x101153))),f317(f317(f173(f905(x101153,x101153),a894),f564(x101154,x101155,x101152,x101151,x101153)),x101154)))+~P1(f317(f317(f319(f905(x101153,x101153)),f317(f317(f242(x101153,x101153),x101151),x101152)),f317(f317(f173(f905(x101153,x101153),a894),x101155),x101154))) % 169.26/169.09 [10116]E(x101161,f2(a897))+P1(f317(f317(f319(f905(x101162,x101162)),f317(f317(f242(x101162,x101162),x101163),f565(x101164,x101161,x101165,x101163,x101162))),f317(f317(f173(f905(x101162,x101162),a894),f564(x101164,x101161,x101165,x101163,x101162)),x101164)))+~P1(f317(f317(f319(f905(x101162,x101162)),f317(f317(f242(x101162,x101162),x101163),x101165)),f317(f317(f173(f905(x101162,x101162),a894),x101161),x101164))) % 169.26/169.09 [10169]E(x101691,x101692)+P1(f317(f317(f319(f905(x101693,x101693)),f317(f317(f242(x101693,x101693),f567(x101694,x101695,x101691,x101692,x101693)),x101691)),f317(f317(f173(f905(x101693,x101693),a894),f566(x101694,x101695,x101691,x101692,x101693)),x101694)))+~P1(f317(f317(f319(f905(x101693,x101693)),f317(f317(f242(x101693,x101693),x101692),x101691)),f317(f317(f173(f905(x101693,x101693),a894),x101695),x101694))) % 169.26/169.09 [10170]E(x101701,f2(a897))+P1(f317(f317(f319(f905(x101702,x101702)),f317(f317(f242(x101702,x101702),f567(x101703,x101701,x101704,x101705,x101702)),x101704)),f317(f317(f173(f905(x101702,x101702),a894),f566(x101703,x101701,x101704,x101705,x101702)),x101703)))+~P1(f317(f317(f319(f905(x101702,x101702)),f317(f317(f242(x101702,x101702),x101705),x101704)),f317(f317(f173(f905(x101702,x101702),a894),x101701),x101703))) % 169.26/169.09 [10203]~P76(x102032)+~P1(f317(f28(x102031),x102035))+E(f317(f317(f6(x102031,x102032),f317(f317(f7(x102031,x102032,x102032),f317(f317(f18(x102031,x102032,f906(x102032,x102032)),f317(f317(f8(a894,f906(x102032,f906(x102032,x102032)),x102031),f86(x102032)),f317(f317(f7(x102031,f906(x102031,a894),a894),f319(x102031)),x102033))),x102034)),f2(x102032))),x102035),f317(f317(f6(x102031,x102032),x102034),f317(f317(f92(f906(x102031,a894)),x102035),x102033))) % 169.26/169.09 [8752]~P79(x87521)+~P1(f317(f28(x87524),x87525))+E(f317(f317(f75(x87521),f317(x87522,x87523)),f317(f317(f9(x87524,x87521),x87522),f317(f317(f23(f906(x87524,a894)),x87525),f317(f317(f299(x87524),x87523),f178(f906(x87524,a894)))))),f317(f317(f9(x87524,x87521),x87522),f317(f317(f299(x87524),x87523),x87525))) % 169.26/169.09 [8753]~P76(x87531)+~P1(f317(f28(x87534),x87535))+E(f317(f317(f74(x87531),f317(x87532,x87533)),f317(f317(f6(x87534,x87531),x87532),f317(f317(f23(f906(x87534,a894)),x87535),f317(f317(f299(x87534),x87533),f178(f906(x87534,a894)))))),f317(f317(f6(x87534,x87531),x87532),f317(f317(f299(x87534),x87533),x87535))) % 169.26/169.09 [9085]~P4(x90852)+~P16(x90852,f317(f158(x90852),f317(f317(f144(x90851,x90852),x90854),x90855)))+E(f317(f126(x90851,f317(f317(f8(x90852,a894,x90851),f317(f225(x90852),x90853)),x90854)),x90855),f167(x90851,f317(f317(f8(x90852,a894,x90851),f317(f225(x90852),x90853)),x90854),x90855)) % 169.26/169.09 [9109]~P76(x91091)+E(f317(f317(f74(x91091),f317(f317(f6(a897,x91091),x91092),f293(a897,x91093,x91094))),f317(f317(f6(a897,x91091),x91092),f293(a897,f317(f317(f74(a897),x91094),f72(a897)),f317(f317(f74(a897),x91094),x91095)))),f317(f317(f6(a897,x91091),x91092),f293(a897,x91093,f317(f317(f74(a897),x91094),x91095))))+~P1(f317(f317(f224(a897),x91093),f317(f317(f74(a897),x91094),f72(a897)))) % 169.26/169.09 [9110]~P1(f317(f317(f319(x91101),x91104),x91105))+~P1(f317(f317(f224(f906(x91101,a894)),f317(f162(x91101),x91102)),x91105))+P1(f317(f317(f224(f906(x91101,a894)),f317(f162(x91101),f317(f317(f149(x91101,x91102),x91103),x91104))),x91105)) % 169.26/169.09 [9336]~P8(x93362)+~P1(f317(f28(x93361),x93365))+E(f317(f317(f58(x93361,x93362,f317(f317(f8(x93362,f906(x93362,x93362),x93361),f91(x93362)),x93363)),x93364),x93365),f317(f317(f91(x93362),x93364),f317(f317(f34(x93361,x93362),x93365),x93363))) % 169.26/169.09 [9337]~P8(x93372)+~P1(f317(f28(x93371),x93375))+E(f317(f317(f58(x93371,x93372,f317(f317(f8(x93372,f906(x93372,x93372),x93371),f92(x93372)),x93373)),x93374),x93375),f317(f317(f92(x93372),x93374),f317(f317(f35(x93371,x93372),x93375),x93373))) % 169.26/169.09 [9389]E(f317(x93891,x93892),f317(x93891,x93893))+P1(f317(f317(f225(a897),f317(x93891,x93892)),f317(x93891,x93893)))+~P1(f317(f317(f319(f905(x93894,x93894)),f317(f317(f242(x93894,x93894),x93892),x93893)),f143(x93894,f317(f317(f141(f906(x93894,a897)),x93891),x93895)))) % 169.26/169.09 [9423]~E(f317(x94234,x94232),f317(x94234,x94233))+~P1(f317(f317(f319(f905(x94231,x94231)),f317(f317(f242(x94231,x94231),x94232),x94233)),f143(x94231,x94235)))+P1(f317(f317(f319(f905(x94231,x94231)),f317(f317(f242(x94231,x94231),x94232),x94233)),f143(x94231,f317(f317(f141(f906(x94231,a897)),x94234),x94235)))) % 169.26/169.09 [9443]~P27(x94431,x94432,x94433,x94435)+P27(x94431,x94432,x94433,f317(f317(f299(x94431),x94434),x94435))+P1(f317(f317(f319(x94432),f317(x94433,x94434)),f317(f300(x94431,x94432,x94433),f317(f317(f23(f906(x94431,a894)),x94435),f317(f317(f299(x94431),x94434),f178(f906(x94431,a894))))))) % 169.26/169.09 [9446]P1(f317(x94462,x94465))+~P1(f317(f317(f319(x94461),x94465),f317(f162(x94461),x94463)))+E(f317(f317(f128(x94461),f317(f179(f898(x94461)),f167(x94461,x94462,f317(f317(f124(x94461),x94463),x94464)))),f317(f317(f124(x94461),x94463),x94464)),f317(f317(f124(x94461),f317(f317(f128(x94461),f317(f179(f898(x94461)),f167(x94461,x94462,x94463))),x94463)),x94464)) % 169.26/169.09 [9451]~P1(f317(f317(f319(f905(x94511,x94511)),f317(f317(f242(x94511,x94511),x94512),x94513)),f143(x94511,x94515)))+~P1(f317(f317(f224(a897),f317(x94514,x94512)),f317(x94514,x94513)))+P1(f317(f317(f319(f905(x94511,x94511)),f317(f317(f242(x94511,x94511),x94512),x94513)),f143(x94511,f317(f317(f141(f906(x94511,a897)),x94514),x94515)))) % 169.26/169.09 [9518]P1(f317(f317(f319(f905(x95184,x95184)),f317(f317(f242(x95184,x95184),x95182),x95183)),f143(x95184,x95185)))+P1(f317(f317(f225(a897),f317(x95181,x95182)),f317(x95181,x95183)))+~P1(f317(f317(f319(f905(x95184,x95184)),f317(f317(f242(x95184,x95184),x95182),x95183)),f143(x95184,f317(f317(f141(f906(x95184,a897)),x95181),x95185)))) % 169.26/169.09 [9671]~P1(f317(f317(f319(f905(f898(x96711),f898(x96711))),f317(f317(f242(f898(x96711),f898(x96711)),x96712),x96714)),f148(x96711,x96715)))+~P1(f317(f317(f225(a897),x96713),f317(f179(f898(x96711)),x96712)))+P1(f317(f317(f319(f905(x96711,x96711)),f317(f317(f242(x96711,x96711),f317(f317(f154(x96711),x96712),x96713)),f317(f317(f154(x96711),x96714),x96713))),x96715)) % 169.26/169.09 [9914]E(x99141,f2(a1))+~P1(f317(f44(x99143,x99141),f317(f317(f242(a1,a1),x99144),x99145)))+P1(f317(f44(f317(f317(f75(a1),x99142),x99143),x99141),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f75(a1),x99142),x99144)),f317(f317(f30(a1),f317(f317(f75(a1),x99142),x99145)),x99141))),f40(a1,f317(f317(f75(a1),x99142),x99145),x99141)))) % 169.26/169.09 [9915]~P1(f317(f317(f225(a897),f2(a897)),x99153))+~P1(f317(f43(x99152,x99153),f317(f317(f242(a897,a897),x99154),x99155)))+P1(f317(f43(f317(f317(f75(a897),x99151),x99152),x99153),f317(f317(f242(a897,a897),f317(f317(f74(a897),f317(f317(f75(a897),x99151),x99154)),f317(f317(f30(a897),f317(f317(f75(a897),x99151),x99155)),x99153))),f40(a897,f317(f317(f75(a897),x99151),x99155),x99153)))) % 169.26/169.09 [10226]~P76(x102262)+~P1(f317(f28(x102261),x102264))+E(f317(f317(f6(x102261,x102262),x102263),f317(f252(x102261),f317(f317(f18(x102261,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102261),a315),f317(f317(f7(x102261,f906(x102261,a894),a894),f319(x102261)),x102264))),f317(f317(f7(x102261,f906(x102261,a894),a894),f319(x102261)),x102265)))),f317(f317(f6(x102261,x102262),f317(f317(f7(x102261,x102262,x102262),f317(f317(f18(x102261,x102262,f906(x102262,x102262)),f317(f317(f8(a894,f906(x102262,f906(x102262,x102262)),x102261),f86(x102262)),f317(f317(f7(x102261,f906(x102261,a894),a894),f319(x102261)),x102265))),x102263)),f2(x102262))),x102264)) % 169.26/169.09 [8382]~E(f317(f317(f124(x83821),x83822),x83825),f317(f317(f124(x83821),x83823),x83824))+E(f317(f317(f124(x83821),f317(f317(f128(x83821),f317(f179(f898(x83821)),x83822)),x83823)),x83824),x83825)+P1(f317(f317(f224(a897),f317(f179(f898(x83821)),x83823)),f317(f179(f898(x83821)),x83822))) % 169.26/169.09 [8579]~E(f317(f317(f124(x85792),x85793),x85791),f317(f317(f124(x85792),x85794),x85795))+E(x85791,f317(f317(f124(x85792),f317(f317(f128(x85792),f317(f179(f898(x85792)),x85793)),x85794)),x85795))+~P1(f317(f317(f224(a897),f317(f179(f898(x85792)),x85793)),f317(f179(f898(x85792)),x85794))) % 169.26/169.09 [8667]~E(f317(f317(f74(a897),f317(f317(f75(a897),x86673),x86674)),x86671),f317(f317(f74(a897),f317(f317(f75(a897),x86672),x86674)),x86675))+~P1(f317(f317(f224(a897),x86673),x86672))+E(x86671,f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x86672),x86673)),x86674)),x86675)) % 169.26/169.09 [8668]~E(f317(f317(f74(a897),f317(f317(f75(a897),x86681),x86683)),x86684),f317(f317(f74(a897),f317(f317(f75(a897),x86682),x86683)),x86685))+~P1(f317(f317(f224(a897),x86682),x86681))+E(f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x86681),x86682)),x86683)),x86684),x86685) % 169.26/169.09 [8836]E(f317(f317(f74(a897),f317(f317(f75(a897),x88361),x88362)),x88363),f317(f317(f74(a897),f317(f317(f75(a897),x88364),x88362)),x88365))+~P1(f317(f317(f224(a897),x88364),x88361))+~E(x88365,f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x88361),x88364)),x88362)),x88363)) % 169.26/169.09 [8837]E(f317(f317(f74(a897),f317(f317(f75(a897),x88371),x88372)),x88373),f317(f317(f74(a897),f317(f317(f75(a897),x88374),x88372)),x88375))+~P1(f317(f317(f224(a897),x88374),x88371))+~E(f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x88371),x88374)),x88372)),x88373),x88375) % 169.26/169.09 [9724]~P64(x97242)+~P1(f317(f28(x97241),x97245))+E(f317(f317(f9(x97241,x97242),f317(f317(f18(x97241,x97242,x97242),f317(f317(f8(x97242,f906(x97242,x97242),x97241),f281(x97242)),x97243)),x97244)),x97245),f317(f317(f281(x97242),f317(f317(f9(x97241,x97242),x97243),x97245)),f317(f317(f9(x97241,x97242),x97244),x97245))) % 169.26/169.09 [9854]~E(f570(x98545,x98544,x98543,x98542,x98541),f571(x98545,x98544,x98543,x98542,x98541))+P1(f317(f317(f319(f905(x98541,x98541)),f317(f317(f242(x98541,x98541),x98542),x98543)),f297(x98541,x98544)))+~P1(f317(f317(f319(f905(x98541,x98541)),f317(f317(f242(x98541,x98541),x98542),x98543)),f297(x98541,f317(f317(f91(f906(f905(x98541,x98541),a894)),x98544),x98545)))) % 169.26/169.09 [9855]~E(f572(x98555,x98554,x98553,x98552,x98551),f573(x98555,x98554,x98553,x98552,x98551))+P1(f317(f317(f319(f905(x98551,x98551)),f317(f317(f242(x98551,x98551),x98552),x98553)),f297(x98551,x98554)))+~P1(f317(f317(f319(f905(x98551,x98551)),f317(f317(f242(x98551,x98551),x98552),x98553)),f297(x98551,f317(f317(f91(f906(f905(x98551,x98551),a894)),x98554),x98555)))) % 169.26/169.09 [10048]P1(f317(f317(f319(f905(x100481,x100481)),f317(f317(f242(x100481,x100481),x100482),f571(x100485,x100484,x100483,x100482,x100481))),f297(x100481,x100484)))+P1(f317(f317(f319(f905(x100481,x100481)),f317(f317(f242(x100481,x100481),x100482),x100483)),f297(x100481,x100484)))+~P1(f317(f317(f319(f905(x100481,x100481)),f317(f317(f242(x100481,x100481),x100482),x100483)),f297(x100481,f317(f317(f91(f906(f905(x100481,x100481),a894)),x100484),x100485)))) % 169.26/169.09 [10137]P1(f317(f317(f319(f905(x101371,x101371)),f317(f317(f242(x101371,x101371),f573(x101375,x101374,x101373,x101372,x101371)),x101373)),f297(x101371,x101374)))+P1(f317(f317(f319(f905(x101371,x101371)),f317(f317(f242(x101371,x101371),x101372),x101373)),f297(x101371,x101374)))+~P1(f317(f317(f319(f905(x101371,x101371)),f317(f317(f242(x101371,x101371),x101372),x101373)),f297(x101371,f317(f317(f91(f906(f905(x101371,x101371),a894)),x101374),x101375)))) % 169.26/169.09 [10176]P1(f317(f317(f319(f905(x101761,x101761)),f317(f317(f242(x101761,x101761),x101762),x101763)),f297(x101761,x101764)))+P1(f317(f317(f319(f905(x101761,x101761)),f317(f317(f242(x101761,x101761),f571(x101765,x101764,x101763,x101762,x101761)),f570(x101765,x101764,x101763,x101762,x101761))),x101765))+~P1(f317(f317(f319(f905(x101761,x101761)),f317(f317(f242(x101761,x101761),x101762),x101763)),f297(x101761,f317(f317(f91(f906(f905(x101761,x101761),a894)),x101764),x101765)))) % 169.26/169.09 [10177]P1(f317(f317(f319(f905(x101771,x101771)),f317(f317(f242(x101771,x101771),x101772),x101773)),f297(x101771,x101774)))+P1(f317(f317(f319(f905(x101771,x101771)),f317(f317(f242(x101771,x101771),f572(x101775,x101774,x101773,x101772,x101771)),f573(x101775,x101774,x101773,x101772,x101771))),x101775))+~P1(f317(f317(f319(f905(x101771,x101771)),f317(f317(f242(x101771,x101771),x101772),x101773)),f297(x101771,f317(f317(f91(f906(f905(x101771,x101771),a894)),x101774),x101775)))) % 169.26/169.09 [10324]~P1(f317(f317(f319(f905(f898(x103241),f898(x103241))),f317(f317(f242(f898(x103241),f898(x103241)),x103244),x103245)),f148(x103241,x103242)))+~P1(f317(f317(f319(f905(x103241,x103241)),x103243),f317(f162(f905(x103241,x103241)),f317(f317(f171(x103241,x103241),x103244),x103245))))+P1(f317(f317(f247(x103241,x103241,a894),f317(f317(f7(x103241,f906(f905(x103241,x103241),a894),f906(x103241,a894)),f317(f317(f8(f906(x103241,f906(f906(f905(x103241,x103241),a894),a894)),f906(f906(f905(x103241,x103241),a894),f906(x103241,a894)),x103241),f7(x103241,f906(f905(x103241,x103241),a894),a894)),f317(f317(f8(f906(x103241,f905(x103241,x103241)),f906(x103241,f906(f906(f905(x103241,x103241),a894),a894)),x103241),f317(f8(f905(x103241,x103241),f906(f906(f905(x103241,x103241),a894),a894),x103241),f319(f905(x103241,x103241)))),f242(x103241,x103241)))),x103242)),x103243)) % 169.26/169.09 [9754]~P1(f317(f317(f224(a897),x97543),x97542))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),x97543),x97544)),x97541)),f317(f317(f74(a897),f317(f317(f75(a897),x97542),x97544)),x97545)))+P1(f317(f317(f224(a897),x97541),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x97542),x97543)),x97544)),x97545))) % 169.26/169.09 [9755]~P1(f317(f317(f224(a897),x97553),x97552))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),x97553),x97554)),x97551)),f317(f317(f74(a897),f317(f317(f75(a897),x97552),x97554)),x97555)))+P1(f317(f317(f225(a897),x97551),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x97552),x97553)),x97554)),x97555))) % 169.26/169.09 [9772]~P1(f317(f317(f224(a897),x97721),x97724))+P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),x97721),x97722)),x97723)),f317(f317(f74(a897),f317(f317(f75(a897),x97724),x97722)),x97725)))+~P1(f317(f317(f224(a897),x97723),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x97724),x97721)),x97722)),x97725))) % 169.26/169.09 [9773]~P1(f317(f317(f224(a897),x97731),x97734))+P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),x97731),x97732)),x97733)),f317(f317(f74(a897),f317(f317(f75(a897),x97734),x97732)),x97735)))+~P1(f317(f317(f225(a897),x97733),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x97734),x97731)),x97732)),x97735))) % 169.26/169.09 [9889]~P1(f317(f317(f224(a897),x98892),x98891))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),x98891),x98893)),x98894)),f317(f317(f74(a897),f317(f317(f75(a897),x98892),x98893)),x98895)))+P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x98891),x98892)),x98893)),x98894)),x98895)) % 169.26/169.09 [9890]~P1(f317(f317(f224(a897),x98902),x98901))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),x98901),x98903)),x98904)),f317(f317(f74(a897),f317(f317(f75(a897),x98902),x98903)),x98905)))+P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x98901),x98902)),x98903)),x98904)),x98905)) % 169.26/169.09 [9933]~P1(f317(f317(f224(a897),x99334),x99331))+P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),x99331),x99332)),x99333)),f317(f317(f74(a897),f317(f317(f75(a897),x99334),x99332)),x99335)))+~P1(f317(f317(f224(a897),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x99331),x99334)),x99332)),x99333)),x99335)) % 169.26/169.09 [9934]~P1(f317(f317(f224(a897),x99344),x99341))+P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),x99341),x99342)),x99343)),f317(f317(f74(a897),f317(f317(f75(a897),x99344),x99342)),x99345)))+~P1(f317(f317(f225(a897),f317(f317(f74(a897),f317(f317(f75(a897),f317(f317(f23(a897),x99341),x99344)),x99342)),x99343)),x99345)) % 169.26/169.09 [10164]~P14(x101641,x101642,x101645,x101643)+~P1(f317(f317(f319(f905(x101641,x101641)),x101644),x101645))+P1(f317(f317(f247(x101641,x101641,a894),f317(f317(f7(x101641,f906(x101641,x101642),f906(x101641,a894)),f317(f317(f8(f906(x101642,a894),f906(f906(x101641,x101642),f906(x101641,a894)),x101641),f8(x101642,a894,x101641)),f317(f317(f8(x101642,f906(x101642,a894),x101641),a314),x101643))),x101643)),x101644)) % 169.26/169.09 [8543]~P22(x85436,x85431,x85432,x85434)+E(f317(f67(x85431,x85431,x85431,f317(x85432,x85433)),f317(x85434,x85435)),f317(f67(x85431,x85431,x85431,f317(x85434,x85435)),f317(x85432,x85433)))+~P1(f317(f28(x85436),x85435)) % 169.26/169.09 [8980]~P27(x89801,x89803,x89805,x89806)+~P27(x89803,x89802,x89804,f317(f300(x89801,x89803,x89805),x89806))+P27(x89801,x89802,f317(f67(x89803,x89802,x89801,x89804),x89805),x89806) % 169.26/169.09 [9550]~P1(f317(f317(x95504,x95502),x95506))+~P1(f317(f317(x95503,x95505),x95502))+P1(f317(f317(f319(x95501),x95502),f287(x95501,x95503,x95504,x95505,x95506))) % 169.26/169.09 [9551]~P1(f317(f317(x95513,x95512),x95516))+~P1(f317(f317(x95514,x95515),x95512))+P1(f317(f317(f319(x95511),x95512),f290(x95511,x95513,x95514,x95515,x95516))) % 169.26/169.09 [9672]E(x96721,x96722)+E(x96723,x96724)+~P1(f317(f317(f319(f905(f898(x96725),f898(x96725))),f317(f317(f242(f898(x96725),f898(x96725)),f317(f317(f141(x96725),x96723),x96721)),f317(f317(f141(x96725),x96724),x96722))),f147(x96725,x96726))) % 169.26/169.09 [9681]~E(x96812,x96814)+P1(f317(f317(f319(f905(f898(x96811),f898(x96811))),f317(f317(f242(f898(x96811),f898(x96811)),f317(f317(f141(x96811),x96812),x96813)),f317(f317(f141(x96811),x96814),x96815))),f135(x96811,x96816)))+~P1(f317(f317(f319(f905(f898(x96811),f898(x96811))),f317(f317(f242(f898(x96811),f898(x96811)),x96813),x96815)),f135(x96811,x96816))) % 169.26/169.09 [9682]~E(x96822,x96824)+P1(f317(f317(f319(f905(f898(x96821),f898(x96821))),f317(f317(f242(f898(x96821),f898(x96821)),f317(f317(f141(x96821),x96822),x96823)),f317(f317(f141(x96821),x96824),x96825))),f137(x96821,x96826)))+~P1(f317(f317(f319(f905(f898(x96821),f898(x96821))),f317(f317(f242(f898(x96821),f898(x96821)),x96823),x96825)),f137(x96821,x96826))) % 169.26/169.09 [9683]~E(x96832,x96834)+P1(f317(f317(f319(f905(f898(x96831),f898(x96831))),f317(f317(f242(f898(x96831),f898(x96831)),f317(f317(f141(x96831),x96832),x96833)),f317(f317(f141(x96831),x96834),x96835))),f147(x96831,x96836)))+~P1(f317(f317(f319(f905(f898(x96831),f898(x96831))),f317(f317(f242(f898(x96831),f898(x96831)),x96833),x96835)),f147(x96831,x96836))) % 169.26/169.09 [9684]~E(x96842,x96844)+P1(f317(f317(f319(f905(f898(x96841),f898(x96841))),f317(f317(f242(f898(x96841),f898(x96841)),f317(f317(f124(x96841),x96842),x96843)),f317(f317(f124(x96841),x96844),x96845))),f147(x96841,x96846)))+~P1(f317(f317(f319(f905(f898(x96841),f898(x96841))),f317(f317(f242(f898(x96841),f898(x96841)),x96843),x96845)),f147(x96841,x96846))) % 169.26/169.09 [9685]~E(x96853,x96855)+P1(f317(f317(f319(f905(f898(x96851),f898(x96851))),f317(f317(f242(f898(x96851),f898(x96851)),f317(f317(f124(x96851),x96852),x96853)),f317(f317(f124(x96851),x96854),x96855))),f147(x96851,x96856)))+~P1(f317(f317(f319(f905(f898(x96851),f898(x96851))),f317(f317(f242(f898(x96851),f898(x96851)),x96852),x96854)),f147(x96851,x96856))) % 169.26/169.09 [9742]E(x97421,x97422)+P1(f317(f317(f319(f905(f898(x97423),f898(x97423))),f317(f317(f242(f898(x97423),f898(x97423)),x97421),x97422)),f147(x97423,x97424)))+~P1(f317(f317(f319(f905(f898(x97423),f898(x97423))),f317(f317(f242(f898(x97423),f898(x97423)),f317(f317(f141(x97423),x97425),x97421)),f317(f317(f141(x97423),x97426),x97422))),f147(x97423,x97424))) % 169.26/169.09 [9893]~E(x98933,x98935)+P1(f317(f317(f319(f905(f898(x98931),f898(x98931))),f317(f317(f242(f898(x98931),f898(x98931)),f317(f317(f124(x98931),x98932),f317(f317(f141(x98931),x98933),f103(x98931)))),f317(f317(f124(x98931),x98934),f317(f317(f141(x98931),x98935),f103(x98931))))),f147(x98931,x98936)))+~P1(f317(f317(f319(f905(f898(x98931),f898(x98931))),f317(f317(f242(f898(x98931),f898(x98931)),x98932),x98934)),f147(x98931,x98936))) % 169.26/169.09 [9937]E(x99371,x99372)+E(x99373,x99374)+~P1(f317(f317(f319(f905(f898(x99375),f898(x99375))),f317(f317(f242(f898(x99375),f898(x99375)),f317(f317(f124(x99375),x99373),f317(f317(f141(x99375),x99371),f103(x99375)))),f317(f317(f124(x99375),x99374),f317(f317(f141(x99375),x99372),f103(x99375))))),f147(x99375,x99376))) % 169.26/169.09 [9963]E(x99631,x99632)+~P1(f317(f317(f319(f905(f898(x99633),f898(x99633))),f317(f317(f242(f898(x99633),f898(x99633)),f317(f317(f124(x99633),x99631),f317(f317(f141(x99633),x99635),f103(x99633)))),f317(f317(f124(x99633),x99632),f317(f317(f141(x99633),x99636),f103(x99633))))),f147(x99633,x99634)))+P1(f317(f317(f319(f905(f898(x99633),f898(x99633))),f317(f317(f242(f898(x99633),f898(x99633)),x99631),x99632)),f147(x99633,x99634))) % 169.26/169.09 [10001]~P1(f317(f317(f319(f905(f906(x100011,a894),f906(x100011,a894))),f317(f317(f242(f906(x100011,a894),f906(x100011,a894)),x100012),x100014)),f308(x100011,x100016)))+~P1(f317(f317(f319(f905(f906(x100011,a894),f906(x100011,a894))),f317(f317(f242(f906(x100011,a894),f906(x100011,a894)),x100013),x100015)),f308(x100011,x100016)))+P1(f317(f317(f319(f905(f906(x100011,a894),f906(x100011,a894))),f317(f317(f242(f906(x100011,a894),f906(x100011,a894)),f317(f317(f91(f906(x100011,a894)),x100012),x100013)),f317(f317(f91(f906(x100011,a894)),x100014),x100015))),f308(x100011,x100016))) % 169.26/169.09 [5736]~E(f317(f317(f124(x57361),x57366),x57363),x57365)+E(f317(f317(f124(x57361),x57362),x57363),f317(f317(f141(x57361),x57364),x57365))+~E(x57362,f317(f317(f141(x57361),x57364),x57366)) % 169.26/169.09 [5737]~E(f317(f317(f124(x57371),x57376),x57373),x57375)+E(f317(f317(f124(x57371),x57372),x57373),f317(f317(f124(x57371),x57374),x57375))+~E(x57372,f317(f317(f124(x57371),x57374),x57376)) % 169.26/169.09 [5739]E(f317(f317(f124(x57391),x57392),x57393),f317(f317(f141(x57391),x57394),x57395))+~E(f317(f317(f141(x57391),x57394),x57396),x57392)+~E(x57395,f317(f317(f124(x57391),x57396),x57393)) % 169.26/169.09 [5741]~E(f317(f317(f124(x57411),x57412),x57416),x57414)+E(f317(f317(f124(x57411),x57412),x57413),f317(f317(f124(x57411),x57414),x57415))+~E(x57413,f317(f317(f124(x57411),x57416),x57415)) % 169.26/169.09 [6919]E(f317(x69191,x69192),f317(x69193,x69192))+~E(f317(f317(f144(x69194,x69195),x69191),x69196),f317(f317(f144(x69194,x69195),x69193),x69196))+~P1(f317(f317(f319(x69194),x69192),f317(f162(x69194),x69196))) % 169.26/169.09 [7308]~P22(x73084,x73085,x73086,x73081)+E(f317(f317(x73081,x73082),x73083),f317(f317(f58(x73084,x73085,x73086),x73083),x73082))+~P1(f317(f28(x73084),x73082)) % 169.26/169.09 [7379]~E(x73792,f317(x73794,x73796))+~P1(f317(f317(f319(x73793),x73796),x73795))+P1(f317(f317(f319(x73791),x73792),f317(f300(x73793,x73791,x73794),x73795))) % 169.26/169.09 [7380]~E(f317(x73804,x73802),x73806)+~P1(f317(f317(f319(x73803),x73806),x73805))+P1(f317(f317(f319(x73801),x73802),f317(f301(x73801,x73803,x73804),x73805))) % 169.26/169.09 [7832]~P34(x78321,x78322,x78324,x78326)+P34(x78321,x78322,f317(f317(f141(x78321),x78323),x78324),f317(f317(f141(x78321),x78325),x78326))+~P1(f317(f317(x78322,x78323),x78325)) % 169.26/169.09 [8846]~P59(x88464,x88465,x88461,x88462,x88466)+E(f317(x88461,f317(x88462,x88463)),x88463)+~P1(f317(f317(f319(x88465),x88463),x88466)) % 169.26/169.09 [9346]~P28(x93462,x93461,x93465,x93464,x93463)+E(f317(f85(x93461,x93462,x93463,f85(x93462,x93461,x93464,x93465)),x93466),f317(x93465,x93466))+~P1(f317(f317(f319(x93462),x93466),x93464)) % 169.26/169.09 [9357]~P27(x93571,x93572,x93573,x93576)+P27(x93571,x93572,f69(x93571,x93572,x93573,x93574,x93575),x93576)+P1(f317(f317(f319(x93572),x93575),f317(f300(x93571,x93572,x93573),x93576))) % 169.26/169.09 [9674]E(x96741,x96742)+E(f317(f179(f898(x96743)),x96744),f317(f179(f898(x96743)),x96745))+~P1(f317(f317(f319(f905(f898(x96743),f898(x96743))),f317(f317(f242(f898(x96743),f898(x96743)),f317(f317(f141(x96743),x96741),x96744)),f317(f317(f141(x96743),x96742),x96745))),f135(x96743,x96746))) % 169.26/169.09 [9737]~P19(x97371,x97372,x97373)+E(f317(f317(f58(x97371,x97372,x97373),x97374),x97375),x97376)+~P1(f317(f60(x97371,x97372,x97373,x97374,x97375),x97376)) % 169.26/169.09 [9745]E(f317(f179(f898(x97451)),x97452),f317(f179(f898(x97451)),x97453))+P1(f317(f317(f319(f905(f898(x97451),f898(x97451))),f317(f317(f242(f898(x97451),f898(x97451)),x97452),x97453)),f135(x97451,x97454)))+~P1(f317(f317(f319(f905(f898(x97451),f898(x97451))),f317(f317(f242(f898(x97451),f898(x97451)),f317(f317(f141(x97451),x97455),x97452)),f317(f317(f141(x97451),x97456),x97453))),f135(x97451,x97454))) % 169.26/169.09 [9766]~P1(f317(f317(f319(f905(x97661,x97661)),f317(f317(f242(x97661,x97661),x97662),x97664)),f297(x97661,x97666)))+P1(f317(f317(f319(f905(f898(x97661),f898(x97661))),f317(f317(f242(f898(x97661),f898(x97661)),f317(f317(f141(x97661),x97662),x97663)),f317(f317(f141(x97661),x97664),x97665))),f297(f898(x97661),f147(x97661,x97666))))+~P1(f317(f317(f319(f905(f898(x97661),f898(x97661))),f317(f317(f242(f898(x97661),f898(x97661)),x97663),x97665)),f297(f898(x97661),f147(x97661,x97666)))) % 169.26/169.09 [9943]~P1(f317(x99432,x99436))+~E(f317(f126(x99431,x99432),x99433),f317(f317(f141(x99431),x99434),x99435))+~P1(f317(f317(f319(x99431),x99436),f317(f162(x99431),f721(x99435,x99434,x99433,x99432,x99431)))) % 169.26/169.09 [9944]~P1(f317(x99444,x99446))+~E(f317(f317(f141(x99441),x99442),x99443),f317(f126(x99441,x99444),x99445))+~P1(f317(f317(f319(x99441),x99446),f317(f162(x99441),f726(x99445,x99444,x99443,x99442,x99441)))) % 169.26/169.09 [10261]~P76(x102612)+E(f317(f317(f6(x102611,x102612),f317(f317(f8(f906(x102613,a894),x102612,x102611),f317(f6(x102613,x102612),x102614)),f317(f317(f8(f906(x102613,a894),f906(x102613,a894),x102611),f252(x102613)),f317(f317(f8(f906(x102613,a894),f906(x102613,a894),x102611),f317(f18(x102613,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102613),a315),f317(f317(f7(x102613,f906(x102613,a894),a894),f319(x102613)),x102615)))),f317(f7(x102613,x102611,a894),f317(f317(f8(x102611,f906(x102611,a894),x102613),a314),x102616)))))),f317(f300(x102613,x102611,x102616),x102615)),f317(f317(f6(x102613,x102612),x102614),x102615))+~P1(f317(f28(x102613),x102615)) % 169.26/169.09 [6977]~P4(x69773)+P1(f317(x69772,x69775))+E(f317(f126(x69771,x69772),f317(f317(f138(x69771,x69773,x69774),x69775),x69776)),f317(f126(x69771,x69772),x69776)) % 169.26/169.09 [6979]P1(f317(x69791,x69792))+~E(f156(x69793,x69791,x69794),f317(f317(f242(f898(x69793),f898(x69793)),x69795),x69796))+~P1(f317(f317(f319(x69793),x69792),f317(f162(x69793),x69795))) % 169.26/169.09 [7026]~P1(f317(x70262,x70266))+~E(f156(x70261,x70262,x70263),f317(f317(f242(f898(x70261),f898(x70261)),x70264),x70265))+~P1(f317(f317(f319(x70261),x70266),f317(f162(x70261),x70265))) % 169.26/169.09 [7694]~P17(x76941,x76942,x76943)+~P1(f317(f28(x76941),x76946))+E(f317(f317(f58(x76941,x76942,x76943),x76944),f317(f317(f299(x76941),x76945),x76946)),f317(f317(f58(x76941,x76942,x76943),f317(f317(x76943,x76945),x76944)),x76946)) % 169.26/169.09 [7747]~P4(x77472)+~P1(f317(f317(f224(x77472),f317(x77473,x77474)),f317(x77473,x77475)))+E(f317(f317(f138(x77471,x77472,x77473),x77474),f317(f317(f141(x77471),x77475),x77476)),f317(f317(f141(x77471),x77474),f317(f317(f141(x77471),x77475),x77476))) % 169.26/169.09 [7860]E(x78601,x78602)+~E(f317(f317(f244(x78603,x78604),x78601),f317(f16(f906(x78604,a894),x78603),x78605)),f317(f317(f244(x78603,x78604),x78602),f317(f16(f906(x78604,a894),x78603),x78605)))+~P1(f317(f317(f319(x78604),x78606),x78605)) % 169.26/169.09 [7927]~P17(x79271,x79272,x79273)+~P1(f317(f28(x79271),x79276))+E(f317(f317(f58(x79271,x79272,x79273),x79274),f317(f317(f299(x79271),x79275),x79276)),f317(f317(x79273,x79275),f317(f317(f58(x79271,x79272,x79273),x79274),x79276))) % 169.26/169.09 [8045]~P19(x80451,x80452,x80453)+~P1(f317(f28(x80451),x80456))+E(f317(f317(f58(x80451,x80452,x80453),f317(f317(x80453,x80454),x80455)),x80456),f317(f317(x80453,x80454),f317(f317(f58(x80451,x80452,x80453),x80455),x80456))) % 169.26/169.09 [8113]~P23(x81132,x81135,x81136,x81131)+~P1(f317(f28(x81132),x81134))+E(f317(x81131,f317(f317(f299(x81132),x81133),x81134)),f317(f67(x81135,x81135,x81135,f317(x81131,x81134)),f317(x81136,x81133))) % 169.26/169.09 [8145]~P4(x81452)+P1(f317(f317(f224(x81452),f317(x81453,x81454)),f317(x81453,x81455)))+E(f317(f317(f138(x81451,x81452,x81453),x81454),f317(f317(f141(x81451),x81455),x81456)),f317(f317(f141(x81451),x81455),f317(f317(f138(x81451,x81452,x81453),x81454),x81456))) % 169.26/169.09 [8288]~E(f317(f179(f898(x82881)),x82885),f317(f179(f898(x82882)),x82886))+~E(f317(f179(f898(x82881)),x82883),f317(f179(f898(x82882)),x82884))+E(f317(f317(f124(f905(x82881,x82882)),f317(f317(f171(x82881,x82882),x82883),x82884)),f317(f317(f171(x82881,x82882),x82885),x82886)),f317(f317(f171(x82881,x82882),f317(f317(f124(x82881),x82883),x82885)),f317(f317(f124(x82882),x82884),x82886))) % 169.26/169.09 [8400]~E(x84002,f317(f300(x84003,x84001,x84004),x84006))+P1(f317(f317(f224(f906(x84001,a894)),x84002),f317(f300(x84003,x84001,x84004),x84005)))+~P1(f317(f317(f224(f906(x84003,a894)),x84006),x84005)) % 169.26/169.09 [8502]~P4(x85025)+E(f317(x85021,x85022),f317(x85021,x85023))+E(f317(f317(f138(x85024,x85025,x85021),x85022),f317(f317(f138(x85024,x85025,x85021),x85023),x85026)),f317(f317(f138(x85024,x85025,x85021),x85023),f317(f317(f138(x85024,x85025,x85021),x85022),x85026))) % 169.26/169.09 [8676]~P1(f317(f317(f319(x86762),x86764),f317(x86766,x86763)))+~P1(f317(f317(f319(x86761),x86763),x86765))+P1(f317(f317(f319(f905(x86761,x86762)),f317(f317(f242(x86761,x86762),x86763),x86764)),f317(f317(f244(x86761,x86762),x86765),x86766))) % 169.26/169.09 [9151]~P79(x91512)+~P27(x91514,x91511,x91515,x91516)+E(f317(f317(f9(x91511,x91512),x91513),f317(f300(x91514,x91511,x91515),x91516)),f317(f317(f9(x91514,x91512),f317(f67(x91511,x91512,x91514,x91513),x91515)),x91516)) % 169.26/169.09 [9152]~P76(x91522)+~P27(x91524,x91521,x91525,x91526)+E(f317(f317(f6(x91521,x91522),x91523),f317(f300(x91524,x91521,x91525),x91526)),f317(f317(f6(x91524,x91522),f317(f67(x91521,x91522,x91524,x91523),x91525)),x91526)) % 169.26/169.09 [9199]~P36(x91992,x91995,x91991,x91993,x91996)+P1(f317(f317(x91991,f317(f317(f154(x91992),x91993),x91994)),f317(f317(f154(x91995),x91996),x91994)))+~P1(f317(f317(f225(a897),x91994),f317(f179(f898(x91995)),x91996))) % 169.26/169.09 [9200]~P36(x92002,x92005,x92001,x92003,x92006)+P1(f317(f317(x92001,f317(f317(f154(x92002),x92003),x92004)),f317(f317(f154(x92005),x92006),x92004)))+~P1(f317(f317(f225(a897),x92004),f317(f179(f898(x92002)),x92003))) % 169.26/169.09 [9211]~E(f317(f300(x92111,x92112,x92113),x92114),x92116)+E(f317(f300(x92111,x92112,x92113),f317(f300(x92112,x92111,f85(x92111,x92112,x92114,x92113)),x92115)),x92115)+~P1(f317(f317(f224(f906(x92112,a894)),x92115),x92116)) % 169.26/169.09 [9418]~P22(x94183,x94181,x94186,x94182)+~P1(f317(f28(x94183),x94184))+E(f317(f67(x94181,x94181,x94181,f317(x94182,f317(f317(f23(f906(x94183,a894)),x94184),f317(f317(f299(x94183),x94185),f178(f906(x94183,a894)))))),f317(x94186,x94185)),f317(x94182,f317(f317(f299(x94183),x94185),x94184))) % 169.26/169.09 [10030]~E(f317(f300(x100302,x100304,x100306),f232(f906(x100302,a894))),f232(f906(x100304,a894)))+~E(f317(f300(x100301,x100303,x100305),f232(f906(x100301,a894))),f232(f906(x100303,a894)))+E(f317(f300(f905(x100301,x100302),f905(x100303,x100304),f248(x100301,x100303,x100302,x100304,x100305,x100306)),f232(f906(f905(x100301,x100302),a894))),f232(f906(f905(x100303,x100304),a894))) % 169.26/169.09 [10087]~P27(x100873,x100874,x100875,f317(x100876,f606(x100876,x100875,x100874,x100873,x100872,x100871)))+P27(x100873,x100874,x100875,f317(f317(f35(x100872,f906(x100873,a894)),x100871),x100876))+E(x100871,f178(f906(x100872,a894))) % 169.26/169.09 [10144]P27(x101446,x101445,x101444,f317(f317(f35(x101442,f906(x101446,a894)),x101441),x101443))+E(x101441,f178(f906(x101442,a894)))+P1(f317(f317(f319(x101442),f606(x101443,x101444,x101445,x101446,x101442,x101441)),x101441)) % 169.26/169.09 [10149]P1(f317(f317(f319(x101491),f542(x101492,x101493,x101494,x101495,x101496,x101491)),x101496))+P1(f317(f317(f224(f906(f905(x101491,x101494),a894)),f317(f317(f244(x101491,x101494),x101496),x101493)),f317(f317(f244(x101491,x101494),x101495),x101492)))+~P1(f317(f317(f224(f906(x101491,a894)),x101496),x101495)) % 169.26/169.09 [10279]~P1(f317(f317(f224(f906(x102792,a894)),f317(x102794,f542(x102796,x102794,x102792,x102795,x102793,x102791))),f317(x102796,f542(x102796,x102794,x102792,x102795,x102793,x102791))))+~P1(f317(f317(f224(f906(x102791,a894)),x102793),x102795))+P1(f317(f317(f224(f906(f905(x102791,x102792),a894)),f317(f317(f244(x102791,x102792),x102793),x102794)),f317(f317(f244(x102791,x102792),x102795),x102796))) % 169.26/169.09 [7883]~P1(f317(x78831,x78835))+~P1(f317(x78836,x78834))+P1(f317(x78831,f317(f246(x78832,x78833),f317(f317(f242(x78832,x78833),x78834),x78835)))) % 169.26/169.09 [7884]~P1(f317(x78841,x78844))+~P1(f317(x78846,x78845))+P1(f317(x78841,f317(f241(x78842,x78843),f317(f317(f242(x78842,x78843),x78844),x78845)))) % 169.26/169.09 [7932]~P1(f317(f317(x79324,x79326),x79325))+~P1(f317(f317(f319(x79321),x79326),x79323))+P1(f317(f317(f317(f34(x79321,f906(x79322,a894)),x79323),x79324),x79325)) % 169.26/169.09 [8238]~P1(f317(f317(f319(x82381),x82382),f317(x82385,x82386)))+~P1(f317(f317(f319(x82383),x82386),x82384))+P1(f317(f317(f319(x82381),x82382),f317(f317(f34(x82383,f906(x82381,a894)),x82384),x82385))) % 169.26/169.09 [8282]P1(f317(f317(x82821,x82822),x82823))+~P1(f317(f317(x82824,x82822),x82823))+~P1(f317(f317(f224(f906(x82825,f906(x82826,a894))),x82824),x82821)) % 169.26/169.09 [8423]P1(f317(f317(x84231,x84232),x84233))+~P1(f317(f317(f319(x84234),x84232),x84235))+~P1(f317(f317(f317(f35(x84234,f906(x84236,a894)),x84235),x84231),x84233)) % 169.26/169.09 [8558]P1(f317(f317(f319(x85581),x85582),f317(x85583,x85584)))+~P1(f317(f317(f319(x85585),x85584),x85586))+~P1(f317(f317(f319(x85581),x85582),f317(f317(f35(x85585,f906(x85581,a894)),x85586),x85583))) % 169.26/169.09 [8825]~P14(x88254,x88255,x88256,x88251)+E(f317(x88251,x88252),f317(x88251,x88253))+~P1(f317(f317(f319(f905(x88254,x88254)),f317(f317(f242(x88254,x88254),x88252),x88253)),x88256)) % 169.26/169.09 [8860]P1(f317(f317(f224(f906(x88601,a894)),x88602),f317(x88603,x88604)))+~P1(f317(f317(f319(x88605),x88604),x88606))+~P1(f317(f317(f224(f906(x88601,a894)),x88602),f317(f317(f35(x88605,f906(x88601,a894)),x88606),x88603))) % 169.26/169.09 [8893]~P57(x88933,x88934,f317(f276(x88934,x88933),x88935))+E(x88931,f178(f906(x88932,a894)))+E(f317(f317(f35(x88932,f906(x88933,a894)),x88931),f317(f317(f8(f906(x88934,a894),f906(x88933,a894),x88932),f275(x88934,x88933,x88935)),x88936)),f317(f275(x88934,x88933,x88935),f317(f317(f35(x88932,f906(x88934,a894)),x88931),x88936))) % 169.26/169.09 [8971]P1(f317(f317(f319(x89711),x89712),f317(f275(x89713,x89711,x89714),x89715)))+~P1(f317(f317(f319(x89713),x89716),x89715))+~P1(f317(f317(f319(f905(x89713,x89711)),f317(f317(f242(x89713,x89711),x89716),x89712)),x89714)) % 169.26/169.09 [9276]P1(f317(f317(f224(f906(x92761,a894)),f317(f275(x92762,x92761,x92763),x92764)),f317(f275(x92762,x92761,x92765),x92766)))+~P1(f317(f317(f224(f906(x92762,a894)),x92764),x92766))+~P1(f317(f317(f224(f906(f905(x92762,x92761),a894)),x92763),x92765)) % 169.26/169.09 [9467]~P1(f317(f317(f319(x94672),x94676),x94674))+~P1(f317(f317(f224(f906(x94671,a894)),x94673),x94675))+P1(f317(f317(f224(f906(f905(x94671,x94672),a894)),f317(f317(f244(x94671,x94672),x94673),f317(f16(f906(x94672,a894),x94671),x94674))),f317(f317(f244(x94671,x94672),x94675),f317(f16(f906(x94672,a894),x94671),x94674)))) % 169.26/169.09 [9479]~P36(x94791,x94792,x94793,x94795,x94796)+P1(f317(f317(f247(x94791,x94792,a894),x94793),x94794))+~P1(f317(f317(f319(f905(x94791,x94792)),x94794),f317(f162(f905(x94791,x94792)),f317(f317(f171(x94791,x94792),x94795),x94796)))) % 169.26/169.09 [9627]~E(x96273,x96275)+P1(f317(f317(f319(f905(f898(x96271),f898(x96271))),f317(f317(f242(f898(x96271),f898(x96271)),f317(f317(f141(x96271),x96272),x96273)),f317(f317(f141(x96271),x96274),x96275))),f147(x96271,x96276)))+~P1(f317(f317(f319(f905(x96271,x96271)),f317(f317(f242(x96271,x96271),x96272),x96274)),x96276)) % 169.26/169.09 [9633]~E(f317(f179(f898(x96331)),x96333),f317(f179(f898(x96331)),x96335))+P1(f317(f317(f319(f905(f898(x96331),f898(x96331))),f317(f317(f242(f898(x96331),f898(x96331)),f317(f317(f141(x96331),x96332),x96333)),f317(f317(f141(x96331),x96334),x96335))),f135(x96331,x96336)))+~P1(f317(f317(f319(f905(x96331,x96331)),f317(f317(f242(x96331,x96331),x96332),x96334)),x96336)) % 169.26/169.09 [9666]P1(f317(f317(f319(f905(x96661,x96661)),f317(f317(f242(x96661,x96661),x96662),x96663)),f317(f317(f173(f905(x96661,x96661),a894),f317(a102,x96664)),x96665)))+~P1(f317(f317(f319(f905(x96661,x96661)),f317(f317(f242(x96661,x96661),x96666),x96663)),x96665))+~P1(f317(f317(f319(f905(x96661,x96661)),f317(f317(f242(x96661,x96661),x96662),x96666)),f317(f317(f173(f905(x96661,x96661),a894),x96664),x96665))) % 169.26/169.09 [9667]P1(f317(f317(f319(f905(x96671,x96671)),f317(f317(f242(x96671,x96671),x96672),x96673)),f317(f317(f173(f905(x96671,x96671),a894),f317(a102,x96674)),x96675)))+~P1(f317(f317(f319(f905(x96671,x96671)),f317(f317(f242(x96671,x96671),x96672),x96676)),x96675))+~P1(f317(f317(f319(f905(x96671,x96671)),f317(f317(f242(x96671,x96671),x96676),x96673)),f317(f317(f173(f905(x96671,x96671),a894),x96674),x96675))) % 169.26/169.09 [9670]~P1(f317(f317(f319(x96704),x96705),x96706))+P1(f317(f317(f224(f906(x96701,a894)),x96702),x96703))+~P1(f317(f317(f224(f906(f905(x96701,x96704),a894)),f317(f317(f244(x96701,x96704),x96702),f317(f16(f906(x96704,a894),x96701),x96706))),f317(f317(f244(x96701,x96704),x96703),f317(f16(f906(x96704,a894),x96701),x96706)))) % 169.26/169.09 [9715]E(x97151,x97152)+~P1(f317(f317(f319(f905(f898(x97153),f898(x97153))),f317(f317(f242(f898(x97153),f898(x97153)),f317(f317(f141(x97153),x97151),x97155)),f317(f317(f141(x97153),x97152),x97156))),f135(x97153,x97154)))+P1(f317(f317(f319(f905(x97153,x97153)),f317(f317(f242(x97153,x97153),x97151),x97152)),x97154)) % 169.26/169.09 [9716]E(x97161,x97162)+~P1(f317(f317(f319(f905(f898(x97163),f898(x97163))),f317(f317(f242(f898(x97163),f898(x97163)),f317(f317(f141(x97163),x97161),x97165)),f317(f317(f141(x97163),x97162),x97166))),f137(x97163,x97164)))+P1(f317(f317(f319(f905(x97163,x97163)),f317(f317(f242(x97163,x97163),x97161),x97162)),x97164)) % 169.26/169.09 [9717]E(x97171,x97172)+~P1(f317(f317(f319(f905(f898(x97173),f898(x97173))),f317(f317(f242(f898(x97173),f898(x97173)),f317(f317(f141(x97173),x97171),x97175)),f317(f317(f141(x97173),x97172),x97176))),f147(x97173,x97174)))+P1(f317(f317(f319(f905(x97173,x97173)),f317(f317(f242(x97173,x97173),x97171),x97172)),x97174)) % 169.26/169.09 [9753]P1(f317(f317(f319(f905(f898(x97531),f898(x97531))),f317(f317(f242(f898(x97531),f898(x97531)),f317(f317(f141(x97531),x97532),x97533)),f317(f317(f141(x97531),x97534),x97535))),f148(x97531,x97536)))+~P1(f317(f317(f319(f905(f898(x97531),f898(x97531))),f317(f317(f242(f898(x97531),f898(x97531)),x97533),x97535)),f148(x97531,x97536)))+~P1(f317(f317(f319(f905(x97531,x97531)),f317(f317(f242(x97531,x97531),x97532),x97534)),x97536)) % 169.26/169.09 [9770]P1(f317(x97701,x97702))+~P1(f317(x97701,f439(x97701,x97703,x97704,x97705,x97706)))+~P1(f317(f317(f319(x97706),x97702),f317(f317(f34(x97705,f906(x97706,a894)),x97704),x97703))) % 169.26/169.09 [9775]~P1(f317(f317(f319(f905(f898(x97751),f898(x97751))),f317(f317(f242(f898(x97751),f898(x97751)),f317(f317(f141(x97751),x97752),x97755)),f317(f317(f141(x97751),x97753),x97756))),f135(x97751,x97754)))+P1(f317(f317(f319(f905(f898(x97751),f898(x97751))),f317(f317(f242(f898(x97751),f898(x97751)),x97755),x97756)),f135(x97751,x97754)))+P1(f317(f317(f319(f905(x97751,x97751)),f317(f317(f242(x97751,x97751),x97752),x97753)),x97754)) % 169.26/169.09 [9776]~P1(f317(f317(f319(f905(f898(x97761),f898(x97761))),f317(f317(f242(f898(x97761),f898(x97761)),f317(f317(f141(x97761),x97762),x97765)),f317(f317(f141(x97761),x97763),x97766))),f137(x97761,x97764)))+P1(f317(f317(f319(f905(f898(x97761),f898(x97761))),f317(f317(f242(f898(x97761),f898(x97761)),x97765),x97766)),f137(x97761,x97764)))+P1(f317(f317(f319(f905(x97761,x97761)),f317(f317(f242(x97761,x97761),x97762),x97763)),x97764)) % 169.26/169.09 [9777]~P1(f317(f317(f319(f905(f898(x97771),f898(x97771))),f317(f317(f242(f898(x97771),f898(x97771)),f317(f317(f141(x97771),x97772),x97775)),f317(f317(f141(x97771),x97773),x97776))),f147(x97771,x97774)))+P1(f317(f317(f319(f905(f898(x97771),f898(x97771))),f317(f317(f242(f898(x97771),f898(x97771)),x97775),x97776)),f147(x97771,x97774)))+P1(f317(f317(f319(f905(x97771,x97771)),f317(f317(f242(x97771,x97771),x97772),x97773)),x97774)) % 169.26/169.09 [9865]P1(f317(x98651,x98652))+P1(f317(f317(f319(x98653),f440(x98651,x98654,x98655,x98653,x98656)),x98655))+~P1(f317(f317(f319(x98656),x98652),f317(f317(f34(x98653,f906(x98656,a894)),x98655),x98654))) % 169.26/169.09 [9877]~E(x98772,x98774)+P1(f317(f317(f319(f905(f898(x98771),f898(x98771))),f317(f317(f242(f898(x98771),f898(x98771)),f317(f317(f124(x98771),x98772),f317(f317(f141(x98771),x98773),f103(x98771)))),f317(f317(f124(x98771),x98774),f317(f317(f141(x98771),x98775),f103(x98771))))),f147(x98771,x98776)))+~P1(f317(f317(f319(f905(x98771,x98771)),f317(f317(f242(x98771,x98771),x98773),x98775)),x98776)) % 169.26/169.09 [9951]E(x99511,x99512)+~P1(f317(f317(f319(f905(f898(x99513),f898(x99513))),f317(f317(f242(f898(x99513),f898(x99513)),f317(f317(f124(x99513),x99515),f317(f317(f141(x99513),x99511),f103(x99513)))),f317(f317(f124(x99513),x99516),f317(f317(f141(x99513),x99512),f103(x99513))))),f147(x99513,x99514)))+P1(f317(f317(f319(f905(x99513,x99513)),f317(f317(f242(x99513,x99513),x99511),x99512)),x99514)) % 169.26/169.09 [9982]~P1(f317(f317(f319(f905(f898(x99821),f898(x99821))),f317(f317(f242(f898(x99821),f898(x99821)),f317(f317(f124(x99821),x99825),f317(f317(f141(x99821),x99822),f103(x99821)))),f317(f317(f124(x99821),x99826),f317(f317(f141(x99821),x99823),f103(x99821))))),f147(x99821,x99824)))+P1(f317(f317(f319(f905(f898(x99821),f898(x99821))),f317(f317(f242(f898(x99821),f898(x99821)),x99825),x99826)),f147(x99821,x99824)))+P1(f317(f317(f319(f905(x99821,x99821)),f317(f317(f242(x99821,x99821),x99822),x99823)),x99824)) % 169.26/169.09 [10002]P1(f317(x100021,x100022))+P1(f317(f317(f319(x100023),f439(x100021,x100024,x100025,x100026,x100023)),f317(x100024,f440(x100021,x100024,x100025,x100026,x100023))))+~P1(f317(f317(f319(x100023),x100022),f317(f317(f34(x100026,f906(x100023,a894)),x100025),x100024))) % 169.26/169.09 [10153]P1(f317(f317(f319(x101531),f816(x101532,x101533,x101534,x101535,x101536,x101531)),x101535))+~P1(f317(f317(f224(f906(x101531,a894)),x101536),x101535))+P1(f317(f317(f224(f906(x101534,a894)),f317(f317(f35(x101531,f906(x101534,a894)),x101535),x101533)),f317(f317(f35(x101531,f906(x101534,a894)),x101535),x101532))) % 169.26/169.09 [10280]~P1(f317(f317(f224(f906(x102801,a894)),f317(x102804,f816(x102805,x102804,x102801,x102803,x102806,x102802))),f317(x102805,f816(x102805,x102804,x102801,x102803,x102806,x102802))))+~P1(f317(f317(f224(f906(x102802,a894)),x102806),x102803))+P1(f317(f317(f224(f906(x102801,a894)),f317(f317(f35(x102802,f906(x102801,a894)),x102803),x102804)),f317(f317(f35(x102802,f906(x102801,a894)),x102803),x102805))) % 169.26/169.09 [8991]~P19(x89913,x89914,x89911)+~P1(f317(f28(x89913),x89916))+E(f317(f317(x89911,x89912),f317(f317(f58(x89913,x89914,x89911),x89915),f317(f317(f23(f906(x89913,a894)),x89916),f317(f317(f299(x89913),x89912),f178(f906(x89913,a894)))))),f317(f317(f58(x89913,x89914,x89911),x89915),f317(f317(f299(x89913),x89912),x89916))) % 169.26/169.09 [9285]~P1(f317(f317(f319(x92855),x92853),x92856))+P1(f317(f317(f224(f906(x92851,a894)),f317(x92852,x92853)),x92854))+~P1(f317(f317(f224(f906(x92851,a894)),f317(f317(f34(x92855,f906(x92851,a894)),x92856),x92852)),x92854)) % 169.26/169.09 [9926]~P11(x99261,x99265,x99264)+P1(f317(f317(f319(f905(x99261,x99261)),f317(f317(f242(x99261,x99261),x99262),x99263)),x99264))+~P1(f317(f317(f319(x99261),x99266),f317(f317(f92(f906(x99261,a894)),f317(f275(x99261,x99261,x99264),f317(f317(f299(x99261),x99262),f178(f906(x99261,a894))))),f317(f275(x99261,x99261,x99264),f317(f317(f299(x99261),x99263),f178(f906(x99261,a894))))))) % 169.26/169.09 [8713]~P132(x87132)+~E(f317(f317(f74(x87132),f317(f317(f75(x87132),x87134),x87135)),x87131),f317(f317(f74(x87132),f317(f317(f75(x87132),x87133),x87135)),x87136))+E(x87131,f317(f317(f74(x87132),f317(f317(f75(x87132),f317(f317(f23(x87132),x87133),x87134)),x87135)),x87136)) % 169.26/169.09 [8714]~P132(x87141)+~E(f317(f317(f74(x87141),f317(f317(f75(x87141),x87142),x87144)),x87145),f317(f317(f74(x87141),f317(f317(f75(x87141),x87143),x87144)),x87146))+E(f317(f317(f74(x87141),f317(f317(f75(x87141),f317(f317(f23(x87141),x87142),x87143)),x87144)),x87145),x87146) % 169.26/169.09 [8896]~P132(x88961)+E(f317(f317(f74(x88961),f317(f317(f75(x88961),x88962),x88963)),x88964),f317(f317(f74(x88961),f317(f317(f75(x88961),x88965),x88963)),x88966))+~E(x88966,f317(f317(f74(x88961),f317(f317(f75(x88961),f317(f317(f23(x88961),x88962),x88965)),x88963)),x88964)) % 169.26/169.09 [8897]~P132(x88971)+E(f317(f317(f74(x88971),f317(f317(f75(x88971),x88972),x88973)),x88974),f317(f317(f74(x88971),f317(f317(f75(x88971),x88975),x88973)),x88976))+~E(f317(f317(f74(x88971),f317(f317(f75(x88971),f317(f317(f23(x88971),x88972),x88975)),x88973)),x88974),x88976) % 169.26/169.09 [9222]~P1(f317(f317(x92224,x92225),x92226))+~P1(f317(f317(x92223,x92225),x92226))+P1(f317(f317(f317(f317(f92(f906(x92221,f906(x92222,a894))),x92223),x92224),x92225),x92226)) % 169.26/169.09 [9488]P1(f317(f317(x94881,x94882),x94883))+P1(f317(f317(x94884,x94882),x94883))+~P1(f317(f317(f317(f317(f91(f906(x94885,f906(x94886,a894))),x94884),x94881),x94882),x94883)) % 169.26/169.09 [9790]~P137(x97901)+~P1(f317(f317(f224(x97901),f317(f317(f74(x97901),f317(f317(f75(x97901),x97904),x97905)),x97902)),f317(f317(f74(x97901),f317(f317(f75(x97901),x97903),x97905)),x97906)))+P1(f317(f317(f224(x97901),x97902),f317(f317(f74(x97901),f317(f317(f75(x97901),f317(f317(f23(x97901),x97903),x97904)),x97905)),x97906))) % 169.26/169.09 [9791]~P137(x97911)+~P1(f317(f317(f225(x97911),f317(f317(f74(x97911),f317(f317(f75(x97911),x97914),x97915)),x97912)),f317(f317(f74(x97911),f317(f317(f75(x97911),x97913),x97915)),x97916)))+P1(f317(f317(f225(x97911),x97912),f317(f317(f74(x97911),f317(f317(f75(x97911),f317(f317(f23(x97911),x97913),x97914)),x97915)),x97916))) % 169.26/169.09 [9814]~P137(x98141)+P1(f317(f317(f224(x98141),f317(f317(f74(x98141),f317(f317(f75(x98141),x98142),x98143)),x98144)),f317(f317(f74(x98141),f317(f317(f75(x98141),x98145),x98143)),x98146)))+~P1(f317(f317(f224(x98141),x98144),f317(f317(f74(x98141),f317(f317(f75(x98141),f317(f317(f23(x98141),x98145),x98142)),x98143)),x98146))) % 169.26/169.09 [9815]~P137(x98151)+P1(f317(f317(f225(x98151),f317(f317(f74(x98151),f317(f317(f75(x98151),x98152),x98153)),x98154)),f317(f317(f74(x98151),f317(f317(f75(x98151),x98155),x98153)),x98156)))+~P1(f317(f317(f225(x98151),x98154),f317(f317(f74(x98151),f317(f317(f75(x98151),f317(f317(f23(x98151),x98155),x98152)),x98153)),x98156))) % 169.26/169.09 [9918]~P137(x99181)+~P1(f317(f317(f224(x99181),f317(f317(f74(x99181),f317(f317(f75(x99181),x99182),x99184)),x99185)),f317(f317(f74(x99181),f317(f317(f75(x99181),x99183),x99184)),x99186)))+P1(f317(f317(f224(x99181),f317(f317(f74(x99181),f317(f317(f75(x99181),f317(f317(f23(x99181),x99182),x99183)),x99184)),x99185)),x99186)) % 169.26/169.09 [9919]~P137(x99191)+~P1(f317(f317(f225(x99191),f317(f317(f74(x99191),f317(f317(f75(x99191),x99192),x99194)),x99195)),f317(f317(f74(x99191),f317(f317(f75(x99191),x99193),x99194)),x99196)))+P1(f317(f317(f225(x99191),f317(f317(f74(x99191),f317(f317(f75(x99191),f317(f317(f23(x99191),x99192),x99193)),x99194)),x99195)),x99196)) % 169.26/169.09 [9965]~P137(x99651)+P1(f317(f317(f224(x99651),f317(f317(f74(x99651),f317(f317(f75(x99651),x99652),x99653)),x99654)),f317(f317(f74(x99651),f317(f317(f75(x99651),x99655),x99653)),x99656)))+~P1(f317(f317(f224(x99651),f317(f317(f74(x99651),f317(f317(f75(x99651),f317(f317(f23(x99651),x99652),x99655)),x99653)),x99654)),x99656)) % 169.26/169.09 [9966]~P137(x99661)+P1(f317(f317(f225(x99661),f317(f317(f74(x99661),f317(f317(f75(x99661),x99662),x99663)),x99664)),f317(f317(f74(x99661),f317(f317(f75(x99661),x99665),x99663)),x99666)))+~P1(f317(f317(f225(x99661),f317(f317(f74(x99661),f317(f317(f75(x99661),f317(f317(f23(x99661),x99662),x99665)),x99663)),x99664)),x99666)) % 169.26/169.09 [10138]~P76(x101382)+~P1(f317(f28(x101381),x101386))+E(f317(f317(f6(x101381,x101382),f317(f317(f18(x101381,x101382,x101382),f317(f317(f18(x101381,x101382,f906(x101382,x101382)),f317(f317(f8(a894,f906(x101382,f906(x101382,x101382)),x101381),f86(x101382)),x101383)),x101384)),x101385)),x101386),f317(f317(f74(x101382),f317(f317(f6(x101381,x101382),x101384),f317(f317(f92(f906(x101381,a894)),x101386),f317(f252(x101381),x101383)))),f317(f317(f6(x101381,x101382),x101385),f317(f317(f92(f906(x101381,a894)),x101386),f317(f73(f906(x101381,a894)),f317(f252(x101381),x101383)))))) % 169.26/169.09 [10199]P1(f317(f317(f319(x101992),x101994),x101996))+P1(f317(f317(f319(x101992),x101995),x101996))+E(f317(f301(x101991,x101992,f317(f317(f7(x101991,x101992,x101992),f317(f317(f7(x101991,x101992,f906(x101992,x101992)),f317(f317(f8(a894,f906(x101992,f906(x101992,x101992)),x101991),f86(x101992)),f317(f317(f7(x101991,f906(x101991,a894),a894),f319(x101991)),x101993))),x101994)),x101995)),x101996),f178(f906(x101991,a894))) % 169.26/169.09 [10200]P1(f317(f317(f319(x102002),x102005),x102006))+~P1(f317(f317(f319(x102002),x102004),x102006))+E(f317(f301(x102001,x102002,f317(f317(f7(x102001,x102002,x102002),f317(f317(f7(x102001,x102002,f906(x102002,x102002)),f317(f317(f8(a894,f906(x102002,f906(x102002,x102002)),x102001),f86(x102002)),f317(f317(f7(x102001,f906(x102001,a894),a894),f319(x102001)),x102003))),x102004)),x102005)),x102006),x102003) % 169.26/169.09 [10201]P1(f317(f317(f319(x102012),x102014),x102016))+~P1(f317(f317(f319(x102012),x102015),x102016))+E(f317(f301(x102011,x102012,f317(f317(f7(x102011,x102012,x102012),f317(f317(f7(x102011,x102012,f906(x102012,x102012)),f317(f317(f8(a894,f906(x102012,f906(x102012,x102012)),x102011),f86(x102012)),f317(f317(f7(x102011,f906(x102011,a894),a894),f319(x102011)),x102013))),x102014)),x102015)),x102016),f317(f73(f906(x102011,a894)),x102013)) % 169.26/169.09 [10202]~P1(f317(f317(f319(x102022),x102024),x102026))+~P1(f317(f317(f319(x102022),x102025),x102026))+E(f317(f301(x102021,x102022,f317(f317(f7(x102021,x102022,x102022),f317(f317(f7(x102021,x102022,f906(x102022,x102022)),f317(f317(f8(a894,f906(x102022,f906(x102022,x102022)),x102021),f86(x102022)),f317(f317(f7(x102021,f906(x102021,a894),a894),f319(x102021)),x102023))),x102024)),x102025)),x102026),f232(f906(x102021,a894))) % 169.26/169.09 [8746]E(x87461,x87462)+~P59(x87464,x87465,x87463,x87466,x87467)+~E(f317(x87463,x87461),f317(x87463,x87462)) % 169.26/169.09 [8775]~P13(x87756,x87755,x87757,x87754,x87751)+E(f317(f317(x87751,x87752),x87753),x87754)+P1(f317(f28(x87755),x87753)) % 169.26/169.09 [9657]P44(x96571,x96572,x96573,x96574,x96575,f317(f317(x96573,x96576),x96577))+~E(f317(f317(x96573,x96576),x96577),x96574)+~E(x96575,f178(f906(x96571,a894))) % 169.26/169.09 [9836]~P1(f317(x98366,x98363))+~P1(f317(f317(f319(f905(x98362,x98362)),f317(f317(f242(x98362,x98362),x98364),x98365)),f317(x98367,x98363)))+P1(f317(f317(f319(f905(f905(x98361,x98362),f905(x98361,x98362))),f317(f317(f242(f905(x98361,x98362),f905(x98361,x98362)),f317(f317(f242(x98361,x98362),x98363),x98364)),f317(f317(f242(x98361,x98362),x98363),x98365))),f270(x98361,x98362,x98366,x98367))) % 169.26/169.09 [10264]~P44(x102642,x102647,x102643,x102646,x102641,f317(f317(x102643,x102645),x102644))+E(f317(f317(x102643,f625(x102644,x102645,x102641,x102646,x102643,x102647,x102642)),f636(x102644,x102645,x102641,x102646,x102643,x102647,x102642)),f317(f317(x102643,x102645),x102644))+E(x102641,f178(f906(x102642,a894))) % 169.26/169.09 [10265]~P44(x102657,x102656,x102651,x102654,x102655,f317(f317(x102651,x102652),x102653))+E(f317(f317(x102651,f625(x102653,x102652,x102655,x102654,x102651,x102656,x102657)),f636(x102653,x102652,x102655,x102654,x102651,x102656,x102657)),f317(f317(x102651,x102652),x102653))+E(f317(f317(x102651,x102652),x102653),x102654) % 169.26/169.09 [9319]~P36(x93191,x93192,x93193,x93195,x93197)+P36(x93191,x93192,x93193,f317(f317(f141(x93191),x93194),x93195),f317(f317(f141(x93192),x93196),x93197))+~P1(f317(f317(x93193,x93194),x93196)) % 169.26/169.09 [9338]P36(x93381,x93382,x93383,x93384,x93385)+~P36(x93381,x93382,x93383,f317(f317(f124(x93381),x93386),x93384),f317(f317(f124(x93382),x93387),x93385))+~E(f317(f179(f898(x93381)),x93386),f317(f179(f898(x93382)),x93387)) % 169.26/169.09 [9339]P36(x93391,x93392,x93393,x93394,x93395)+~P36(x93391,x93392,x93393,f317(f317(f124(x93391),x93394),x93396),f317(f317(f124(x93392),x93395),x93397))+~E(f317(f179(f898(x93391)),x93394),f317(f179(f898(x93392)),x93395)) % 169.26/169.09 [9555]~P36(x95551,x95552,x95553,x95555,x95557)+~P36(x95551,x95552,x95553,x95554,x95556)+P36(x95551,x95552,x95553,f317(f317(f124(x95551),x95554),x95555),f317(f317(f124(x95552),x95556),x95557)) % 169.26/169.09 [9911]~P1(f317(f60(x99111,x99114,x99115,x99116,x99113),x99117))+P1(f317(f60(x99111,x99114,x99115,x99116,f317(f317(f299(x99111),x99112),x99113)),f317(f317(x99115,x99112),x99117)))+P1(f317(f317(f319(x99111),x99112),x99113)) % 169.26/169.09 [10296]~P44(x102962,x102967,x102966,x102965,x102961,f317(f317(x102966,x102964),x102963))+E(x102961,f178(f906(x102962,a894)))+P1(f317(f317(f319(x102962),f625(x102963,x102964,x102961,x102965,x102966,x102967,x102962)),x102961)) % 169.26/169.09 [10297]~P44(x102975,x102977,x102971,x102974,x102976,f317(f317(x102971,x102972),x102973))+E(f317(f317(x102971,x102972),x102973),x102974)+P1(f317(f317(f319(x102975),f625(x102973,x102972,x102976,x102974,x102971,x102977,x102975)),x102976)) % 169.26/169.09 [10384]E(f317(f317(f242(x103841,x103842),x103843),x103844),f317(f317(f242(x103841,x103842),x103845),x103846))+P1(f317(f317(f319(f905(f905(x103841,x103842),f905(x103841,x103842))),f317(f317(f242(f905(x103841,x103842),f905(x103841,x103842)),f317(f317(f242(x103841,x103842),f821(x103847,x103844,x103843,x103846,x103845,x103842,x103841)),f828(x103847,x103844,x103843,x103846,x103845,x103842,x103841))),f317(f317(f242(x103841,x103842),x103843),x103844))),f297(f905(x103841,x103842),x103847)))+~P1(f317(f317(f319(f905(f905(x103841,x103842),f905(x103841,x103842))),f317(f317(f242(f905(x103841,x103842),f905(x103841,x103842)),f317(f317(f242(x103841,x103842),x103845),x103846)),f317(f317(f242(x103841,x103842),x103843),x103844))),f297(f905(x103841,x103842),x103847))) % 169.26/169.09 [9016]~P24(x90164,x90165,x90166,x90167,x90161)+~P1(f317(f28(x90165),x90163))+E(f317(f317(x90161,x90162),x90163),f317(f317(f317(f59(x90164,x90165,x90166),x90162),x90167),x90163)) % 169.26/169.09 [9017]~P13(x90174,x90175,x90176,x90177,x90171)+~P1(f317(f28(x90175),x90173))+E(f317(f317(x90171,x90172),x90173),f317(f317(f317(f59(x90174,x90175,x90176),x90172),x90177),x90173)) % 169.26/169.09 [9809]~P26(x98093,x98094,x98095,x98097,x98096,x98091)+~P1(f317(f28(x98094),x98092))+E(f317(x98091,x98092),f317(f317(f317(f59(x98093,x98094,x98095),x98096),x98097),x98092)) % 169.26/169.09 [9960]P44(x99601,x99602,x99603,x99604,x99605,f317(f317(x99603,x99606),x99607))+~P44(x99601,x99602,x99603,x99604,f317(f317(f23(f906(x99601,a894)),x99605),f317(f317(f299(x99601),x99606),f178(f906(x99601,a894)))),x99607)+~P1(f317(f317(f319(x99601),x99606),x99605)) % 169.26/169.09 [10320]P1(f317(f317(x103207,f770(x103204,x103205,x103201,x103206,x103203,x103202,x103207)),f766(x103204,x103205,x103201,x103206,x103203,x103202,x103207)))+~P1(f317(f317(x103207,f317(f246(x103202,x103203),x103206)),f317(f241(x103202,x103203),x103206)))+P1(f317(x103201,f317(f317(f247(x103202,x103203,x103204),x103205),x103206))) % 169.26/169.09 [10330]~P44(x103302,x103303,x103304,x103305,x103301,f317(f317(x103304,x103307),x103306))+P44(x103302,x103303,x103304,x103305,f317(f317(f23(f906(x103302,a894)),x103301),f317(f317(f299(x103302),f625(x103306,x103307,x103301,x103305,x103304,x103303,x103302)),f178(f906(x103302,a894)))),f636(x103306,x103307,x103301,x103305,x103304,x103303,x103302))+E(x103301,f178(f906(x103302,a894))) % 169.26/169.09 [10331]~P44(x103315,x103316,x103311,x103314,x103317,f317(f317(x103311,x103312),x103313))+P44(x103315,x103316,x103311,x103314,f317(f317(f23(f906(x103315,a894)),x103317),f317(f317(f299(x103315),f625(x103313,x103312,x103317,x103314,x103311,x103316,x103315)),f178(f906(x103315,a894)))),f636(x103313,x103312,x103317,x103314,x103311,x103316,x103315))+E(f317(f317(x103311,x103312),x103313),x103314) % 169.26/169.09 [10351]~P1(f317(x103511,f317(f317(x103515,f766(x103514,x103515,x103511,x103516,x103513,x103512,x103517)),f770(x103514,x103515,x103511,x103516,x103513,x103512,x103517))))+~P1(f317(f317(x103517,f317(f246(x103512,x103513),x103516)),f317(f241(x103512,x103513),x103516)))+P1(f317(x103511,f317(f317(f247(x103512,x103513,x103514),x103515),x103516))) % 169.26/169.09 [9641]P1(f317(f317(f224(f906(f905(x96411,x96412),a894)),f317(f317(f279(x96411,x96413,x96412),x96414),x96415)),f317(f317(f279(x96411,x96413,x96412),x96416),x96417)))+~P1(f317(f317(f224(f906(f905(x96413,x96412),a894)),x96415),x96417))+~P1(f317(f317(f224(f906(f905(x96411,x96413),a894)),x96414),x96416)) % 169.26/169.09 [10378]E(f317(f317(f242(x103781,x103782),x103783),x103784),f317(f317(f242(x103781,x103782),x103785),x103786))+~P1(f317(f317(f319(f905(f905(x103781,x103782),f905(x103781,x103782))),f317(f317(f242(f905(x103781,x103782),f905(x103781,x103782)),f317(f317(f242(x103781,x103782),x103783),x103784)),f317(f317(f242(x103781,x103782),x103785),x103786))),f297(f905(x103781,x103782),x103787)))+P1(f317(f317(f319(f905(f905(x103781,x103782),f905(x103781,x103782))),f317(f317(f242(f905(x103781,x103782),f905(x103781,x103782)),f317(f317(f242(x103781,x103782),x103783),x103784)),f317(f317(f242(x103781,x103782),f821(x103787,x103786,x103785,x103784,x103783,x103782,x103781)),f828(x103787,x103786,x103785,x103784,x103783,x103782,x103781)))),x103787)) % 169.26/169.09 [9971]~P1(f317(f317(f319(x99711),x99716),x99715))+P1(f317(f60(x99711,x99712,x99713,x99714,x99715),f317(f317(x99713,x99716),x99717)))+~P1(f317(f60(x99711,x99712,x99713,x99714,f317(f317(f23(f906(x99711,a894)),x99715),f317(f317(f299(x99711),x99716),f178(f906(x99711,a894))))),x99717)) % 169.26/169.09 [10391]~P145(x103911)+~P27(f905(x103912,x103913),x103911,f317(f247(x103912,x103913,x103911),f317(f317(f7(x103912,f906(x103913,x103911),f906(x103913,x103911)),f317(f317(f8(f906(x103911,x103911),f906(f906(x103913,x103911),f906(x103913,x103911)),x103912),f8(x103911,x103911,x103913)),f317(f317(f8(x103911,f906(x103911,x103911),x103912),f75(x103911)),x103914))),x103915)),f317(f317(f244(x103912,x103913),x103916),f317(f16(f906(x103913,a894),x103912),x103917)))+E(f317(f317(f6(x103911,x103911),f25(x103911)),f317(f252(x103911),f317(f317(f8(f906(x103912,a894),a894,x103911),f81(x103912)),f317(f317(f8(f906(x103912,f906(x103913,a894)),f906(x103912,a894),x103911),f317(f8(f906(x103913,a894),a894,x103912),f81(x103913))),f317(f317(f7(x103911,f906(x103912,f906(x103913,a894)),f906(x103912,f906(x103913,a894))),f317(f317(f8(f906(x103912,f906(f906(x103913,a894),f906(x103913,a894))),f906(f906(x103912,f906(x103913,a894)),f906(x103912,f906(x103913,a894))),x103911),f18(x103912,f906(x103913,a894),f906(x103913,a894))),f317(f317(f8(f906(x103912,f906(x103913,f906(a894,a894))),f906(x103912,f906(f906(x103913,a894),f906(x103913,a894))),x103911),f317(f8(f906(x103913,f906(a894,a894)),f906(f906(x103913,a894),f906(x103913,a894)),x103912),f18(x103913,a894,a894))),f317(f317(f8(f906(x103912,f906(x103913,a894)),f906(x103912,f906(x103913,f906(a894,a894))),x103911),f317(f8(f906(x103913,a894),f906(x103913,f906(a894,a894)),x103912),f317(f8(a894,f906(a894,a894),x103913),a315))),f317(f317(f7(x103911,f906(x103912,f906(x103913,x103911)),f906(x103912,f906(x103913,a894))),f317(f317(f8(f906(f906(x103913,x103911),f906(x103913,a894)),f906(f906(x103912,f906(x103913,x103911)),f906(x103912,f906(x103913,a894))),x103911),f8(f906(x103913,x103911),f906(x103913,a894),x103912)),f317(f317(f8(f906(x103911,a894),f906(f906(x103913,x103911),f906(x103913,a894)),x103911),f8(x103911,a894,x103913)),a314))),f317(f317(f7(x103912,f906(x103913,x103911),f906(x103913,x103911)),f317(f317(f8(f906(x103911,x103911),f906(f906(x103913,x103911),f906(x103913,x103911)),x103912),f8(x103911,x103911,x103913)),f317(f317(f8(x103911,f906(x103911,x103911),x103912),f75(x103911)),x103914))),x103915)))))),f317(f317(f7(x103912,f906(x103913,a894),f906(x103913,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x103913,a894),f906(x103913,a894)),x103912),f8(a894,a894,x103913)),f317(f317(f8(a894,f906(a894,a894),x103912),a315),f317(f317(f7(x103912,f906(x103912,a894),a894),f319(x103912)),x103916)))),f317(f317(f7(x103913,f906(x103913,a894),a894),f319(x103913)),x103917))))))),f317(f317(f75(x103911),f317(f317(f6(x103912,x103911),x103914),x103916)),f317(f317(f6(x103913,x103911),x103915),x103917))) % 169.26/169.09 [9645]~P28(x96451,x96453,x96455,x96456,x96458)+~P28(x96453,x96452,x96454,x96458,x96457)+P28(x96451,x96452,f317(f67(x96453,x96452,x96451,x96454),x96455),x96456,x96457) % 169.26/169.09 [9675]P28(x96751,x96752,x96753,x96754,x96755)+~P28(x96756,x96751,x96757,x96758,x96754)+~P28(x96756,x96752,f317(f67(x96751,x96752,x96756,x96753),x96757),x96758,x96755) % 169.26/169.09 [9807]~P1(f317(f317(x98074,x98076),x98078))+~P1(f317(f317(x98075,x98078),x98077))+P1(f317(f317(f243(x98071,x98072,x98073,x98074,x98075),x98076),x98077)) % 169.26/169.09 [9395]~P22(x93958,x93951,x93953,x93955)+~P1(f317(f28(x93958),x93956))+E(f317(f67(x93951,x93951,x93952,f317(x93953,x93954)),f317(f67(x93951,x93951,x93952,f317(x93955,x93956)),x93957)),f317(f67(x93951,x93951,x93952,f317(x93955,x93956)),f317(f67(x93951,x93951,x93952,f317(x93953,x93954)),x93957))) % 169.26/169.09 [9797]~P25(x97977,x97972,x97975,x97978,x97976,x97971)+~P1(f317(f28(x97972),x97974))+E(f317(x97971,f317(f317(f299(x97972),x97973),x97974)),f317(f317(x97975,f317(x97976,x97973)),f317(x97971,x97974))) % 169.26/169.09 [9916]~P27(x99162,x99164,x99166,x99168)+~P27(x99161,x99163,x99165,x99167)+P27(f905(x99161,x99162),f905(x99163,x99164),f248(x99161,x99163,x99162,x99164,x99165,x99166),f317(f317(f244(x99161,x99162),x99167),f317(f16(f906(x99162,a894),x99161),x99168))) % 169.26/169.09 [9581]P1(f317(f317(f319(f905(x95811,x95812)),f317(f317(f242(x95811,x95812),x95813),x95814)),f317(f317(f279(x95811,x95815,x95812),x95816),x95817)))+~P1(f317(f317(f319(f905(x95811,x95815)),f317(f317(f242(x95811,x95815),x95813),x95818)),x95816))+~P1(f317(f317(f319(f905(x95815,x95812)),f317(f317(f242(x95815,x95812),x95818),x95814)),x95817)) % 169.26/169.09 [9778]~P1(f317(f317(f224(f906(f905(x97783,x97782),a894)),x97785),f317(f317(f244(x97783,x97782),x97788),f317(f16(f906(x97782,a894),x97783),x97787))))+~P1(f317(f317(f224(f906(f905(x97781,x97783),a894)),x97784),f317(f317(f244(x97781,x97783),x97786),f317(f16(f906(x97783,a894),x97781),x97788))))+P1(f317(f317(f224(f906(f905(x97781,x97782),a894)),f317(f317(f279(x97781,x97783,x97782),x97784),x97785)),f317(f317(f244(x97781,x97782),x97786),f317(f16(f906(x97782,a894),x97781),x97787)))) % 169.26/169.09 [9831]~E(x98313,x98315)+P1(f317(f317(f319(f905(f905(x98311,x98312),f905(x98311,x98312))),f317(f317(f242(f905(x98311,x98312),f905(x98311,x98312)),f317(f317(f242(x98311,x98312),x98313),x98314)),f317(f317(f242(x98311,x98312),x98315),x98316))),f309(x98311,x98312,x98317,x98318)))+~P1(f317(f317(f319(f905(x98312,x98312)),f317(f317(f242(x98312,x98312),x98314),x98316)),x98318)) % 169.26/169.09 [9935]E(x99351,x99352)+~P1(f317(f317(f319(f905(f905(x99353,x99355),f905(x99353,x99355))),f317(f317(f242(f905(x99353,x99355),f905(x99353,x99355)),f317(f317(f242(x99353,x99355),x99351),x99356)),f317(f317(f242(x99353,x99355),x99352),x99357))),f309(x99353,x99355,x99354,x99358)))+P1(f317(f317(f319(f905(x99353,x99353)),f317(f317(f242(x99353,x99353),x99351),x99352)),x99354)) % 169.26/169.09 [9950]~P1(f317(f317(f319(f905(f905(x99501,x99505),f905(x99501,x99505))),f317(f317(f242(f905(x99501,x99505),f905(x99501,x99505)),f317(f317(f242(x99501,x99505),x99502),x99506)),f317(f317(f242(x99501,x99505),x99503),x99507))),f309(x99501,x99505,x99504,x99508)))+P1(f317(f317(f319(f905(x99501,x99501)),f317(f317(f242(x99501,x99501),x99502),x99503)),x99504))+P1(f317(f317(f319(f905(x99505,x99505)),f317(f317(f242(x99505,x99505),x99506),x99507)),x99508)) % 169.26/169.09 [9866]~P26(x98667,x98665,x98661,x98668,x98662,x98664)+~P1(f317(f28(x98665),x98666))+E(f317(f317(x98661,f317(x98662,x98663)),f317(x98664,f317(f317(f23(f906(x98665,a894)),x98666),f317(f317(f299(x98665),x98663),f178(f906(x98665,a894)))))),f317(x98664,f317(f317(f299(x98665),x98663),x98666))) % 169.26/169.09 [9345]~P1(f317(f317(f317(x93455,x93458),x93456),x93457))+~P1(f317(f317(f319(x93451),x93458),x93454))+P1(f317(f317(f317(f317(f34(x93451,f906(x93452,f906(x93453,a894))),x93454),x93455),x93456),x93457)) % 169.26/169.09 [9566]P1(f317(f317(f317(x95661,x95662),x95663),x95664))+~P1(f317(f317(f319(x95665),x95662),x95666))+~P1(f317(f317(f317(f317(f35(x95665,f906(x95667,f906(x95668,a894))),x95666),x95661),x95663),x95664)) % 169.26/169.09 [9771]~P24(x97713,x97712,x97714,x97718,x97711)+~P1(f317(f28(x97712),x97717))+E(f317(f317(x97711,f317(f317(f18(x97712,x97713,x97713),f317(f317(f8(x97713,f906(x97713,x97713),x97712),x97714),x97715)),x97716)),x97717),f317(f317(x97714,f317(f317(x97711,x97715),x97717)),f317(f317(x97711,x97716),x97717))) % 169.26/169.09 [10036]~E(f317(f300(x100362,x100364,x100366),x100368),x1003610)+~E(f317(f300(x100361,x100363,x100365),x100367),x100369)+E(f317(f300(f905(x100361,x100362),f905(x100363,x100364),f248(x100361,x100363,x100362,x100364,x100365,x100366)),f317(f317(f244(x100361,x100362),x100367),f317(f16(f906(x100362,a894),x100361),x100368))),f317(f317(f244(x100363,x100364),x100369),f317(f16(f906(x100364,a894),x100363),x1003610))) % 169.26/169.09 [4945]~P45(x49451,x49452)+~P52(x49451,x49452)+~P53(x49451,x49452)+P10(x49451,x49452) % 169.26/169.09 [4901]~P4(x49012)+~P16(x49012,x49011)+P16(x49012,f104(x49012,x49011))+E(x49011,f103(x49012)) % 169.26/169.09 [4902]~P4(x49022)+~P16(x49022,x49021)+P16(x49022,f686(x49021,x49022))+E(x49021,f103(x49022)) % 169.26/169.09 [5149]~P8(x51492)+E(f10(x51492,x51491),f32(x51492,x51491))+E(x51491,f178(f906(x51492,a894)))+~P1(f317(f28(x51492),x51491)) % 169.26/169.09 [5150]~P8(x51502)+E(f13(x51502,x51501),f31(x51502,x51501))+E(x51501,f178(f906(x51502,a894)))+~P1(f317(f28(x51502),x51501)) % 169.26/169.09 [5307]~P4(x53072)+~P16(x53072,x53071)+E(x53071,f103(x53072))+E(f317(f317(f141(x53072),f706(x53071,x53072)),f686(x53071,x53072)),x53071) % 169.26/169.09 [6130]~P101(x61302)+E(x61301,f178(f906(x61302,a894)))+P1(f317(f317(f224(x61302),f10(x61302,x61301)),f13(x61302,x61301)))+~P1(f317(f28(x61302),x61301)) % 169.26/169.09 [6141]~P42(x61412)+~P42(x61411)+E(x61411,x61412)+~E(f317(f300(a1,a897,a95),x61411),f317(f300(a1,a897,a95),x61412)) % 169.26/169.09 [9201]~P111(x92011)+~P1(f317(f317(f319(x92011),x92012),f100(x92011)))+P1(f317(f317(f225(x92011),f317(f317(f74(x92011),f317(f317(f74(x92011),f72(x92011)),x92012)),x92012)),f2(x92011)))+~P1(f317(f317(f225(x92011),x92012),f2(x92011))) % 169.26/169.09 [9448]~P111(x94481)+~P1(f317(f317(f319(x94481),x94482),f100(x94481)))+~P1(f317(f317(f225(x94481),f317(f317(f74(x94481),f317(f317(f74(x94481),f72(x94481)),x94482)),x94482)),f2(x94481)))+P1(f317(f317(f225(x94481),x94482),f2(x94481))) % 169.26/169.09 [4960]~P115(x49602)+~P145(x49602)+E(x49601,f2(a897))+E(f317(f317(f234(x49602),f2(x49602)),x49601),f2(x49602)) % 169.26/169.09 [4963]~P115(x49631)+~P145(x49631)+~E(x49632,f2(a897))+E(f317(f317(f234(x49631),f2(x49631)),x49632),f72(x49631)) % 169.26/169.09 [5135]~P143(x51352)+E(x51351,f72(x51352))+E(x51351,f317(f73(x51352),f72(x51352)))+~E(f317(f317(f75(x51352),x51351),x51351),f72(x51352)) % 169.26/169.09 [5384]~P92(x53842)+E(x53841,f2(x53842))+E(f76(x53842,x53841),f317(f73(x53842),f72(x53842)))+P1(f317(f317(f225(x53842),f2(x53842)),x53841)) % 169.26/169.09 [5626]~P92(x56262)+E(f76(x56262,x56261),f72(x56262))+E(x56261,f2(x56262))+~P1(f317(f317(f225(x56262),f2(x56262)),x56261)) % 169.26/169.10 [5635]E(x56351,x56352)+~E(f317(f94(a897),x56351),f317(f94(a897),x56352))+P1(f317(a183,f317(f94(a1),x56352)))+P1(f317(a183,f317(f94(a1),x56351))) % 169.26/169.10 [5686]~P94(x56861)+~E(x56862,f2(x56861))+E(f317(f317(f74(x56861),x56862),x56862),f2(x56861))+~P1(f317(f317(f319(x56861),x56862),f100(x56861))) % 169.26/169.10 [5725]E(x57251,f2(a1))+~E(f317(f317(f30(a1),x57252),x57251),f2(a1))+P1(f317(f317(f225(a1),x57251),x57252))+P1(f317(f317(f225(a1),x57252),x57251)) % 169.26/169.10 [5755]E(x57551,f2(a1))+~E(f317(f317(f30(a1),x57552),x57551),f2(a1))+P1(f317(f317(f224(a1),x57552),f2(a1)))+P1(f317(f317(f225(a1),x57552),x57551)) % 169.26/169.10 [5789]E(x57891,f2(a1))+~E(f317(f317(f30(a1),x57892),x57891),f2(a1))+P1(f317(f317(f224(a1),f2(a1)),x57892))+P1(f317(f317(f225(a1),x57891),x57892)) % 169.26/169.10 [5824]~P94(x58242)+E(x58241,f2(x58242))+~E(f317(f317(f74(x58242),x58241),x58241),f2(x58242))+~P1(f317(f317(f319(x58242),x58241),f100(x58242))) % 169.26/169.10 [5895]E(f317(f94(a897),x58951),f317(f94(a897),x58952))+~E(f317(f94(a1),x58952),f2(a1))+P1(f317(a183,f317(f94(a1),x58952)))+~P1(f317(a183,f317(f94(a1),x58951))) % 169.26/169.10 [5924]~E(f317(f94(a897),x59242),f317(f94(a897),x59241))+E(f317(f94(a1),x59241),f2(a1))+P1(f317(a183,f317(f94(a1),x59241)))+~P1(f317(a183,f317(f94(a1),x59242))) % 169.26/169.10 [5934]~P4(x59342)+E(x59341,f178(f906(x59342,a894)))+~P1(f317(f28(x59342),x59341))+P1(f317(f317(f319(x59342),f14(x59342,x59341)),x59341)) % 169.26/169.10 [5935]~P4(x59352)+E(x59351,f178(f906(x59352,a894)))+~P1(f317(f28(x59352),x59351))+P1(f317(f317(f319(x59352),f15(x59352,x59351)),x59351)) % 169.26/169.10 [6107]~P111(x61071)+~P95(x61071)+P1(f317(f317(f224(x61071),f2(x61071)),f317(f94(x61071),x61072)))+~P1(f317(f317(f224(a1),a77),x61072)) % 169.26/169.10 [6108]~P111(x61081)+~P95(x61081)+P1(f317(f317(f225(x61081),f2(x61081)),f317(f94(x61081),x61082)))+~P1(f317(f317(f225(a1),a77),x61082)) % 169.26/169.10 [6129]~P111(x61291)+~P95(x61291)+E(f317(f70(x61291),f317(f94(x61291),x61292)),f317(f94(x61291),x61292))+P1(f317(f317(f225(x61291),f317(f94(x61291),x61292)),f2(x61291))) % 169.26/169.10 [6165]E(x61651,x61652)+~E(f317(a95,x61651),f317(a95,x61652))+~P1(f317(f317(f224(a1),f2(a1)),x61652))+~P1(f317(f317(f224(a1),f2(a1)),x61651)) % 169.26/169.10 [6367]~P95(x63672)+~P111(x63672)+~P1(f317(f317(f224(x63672),f2(x63672)),f317(f94(x63672),x63671)))+P1(f317(f317(f224(a1),a77),x63671)) % 169.26/169.10 [6368]~P95(x63682)+~P111(x63682)+~P1(f317(f317(f225(x63682),f2(x63682)),f317(f94(x63682),x63681)))+P1(f317(f317(f225(a1),a77),x63681)) % 169.26/169.10 [6373]~P111(x63731)+~P95(x63731)+P1(f317(f317(f224(x63731),f317(f94(x63731),x63732)),f2(x63731)))+~P1(f317(f317(f224(a1),x63732),a77)) % 169.26/169.10 [6374]~P111(x63741)+~P95(x63741)+P1(f317(f317(f225(x63741),f317(f94(x63741),x63742)),f2(x63741)))+~P1(f317(f317(f225(a1),x63742),a77)) % 169.26/169.10 [6700]~P95(x67002)+~P111(x67002)+~P1(f317(f317(f224(x67002),f317(f94(x67002),x67001)),f2(x67002)))+P1(f317(f317(f224(a1),x67001),a77)) % 169.26/169.10 [6701]~P95(x67012)+~P111(x67012)+~P1(f317(f317(f225(x67012),f317(f94(x67012),x67011)),f2(x67012)))+P1(f317(f317(f225(a1),x67011),a77)) % 169.26/169.10 [6794]~P111(x67941)+~P95(x67941)+E(f317(f70(x67941),f317(f94(x67941),x67942)),f317(f73(x67941),f317(f94(x67941),x67942)))+~P1(f317(f317(f225(x67941),f317(f94(x67941),x67942)),f2(x67941))) % 169.26/169.10 [6813]E(f317(f94(a897),x68131),f317(f94(a897),x68132))+~E(f317(f94(a1),x68132),f2(a1))+~P1(f317(f317(f224(a1),f317(f94(a1),x68131)),f2(a1)))+~P1(f317(a183,f317(f94(a1),x68131))) % 169.26/169.10 [7701]~P4(x77012)+E(x77011,f178(f906(x77012,a894)))+~P1(f317(f28(x77012),x77011))+P1(f317(f317(f224(x77012),f11(x77012,f228(x77012),x77011)),f12(x77012,f223(x77012),x77011))) % 169.26/169.10 [8021]~P42(x80212)+~P9(x80211)+P1(f317(f317(f319(a1),x80211),x80212))+~P1(f317(f317(f319(a897),f317(a95,x80211)),f317(f300(a1,a897,a95),x80212))) % 169.26/169.10 [5930]~P128(x59302)+E(x59301,f2(a1))+E(f317(f73(x59302),f317(f93(x59302),f317(f73(a1),x59301))),f317(f93(x59302),x59301))+~P1(f317(f317(f225(a1),x59301),f2(a1))) % 169.26/169.10 [6009]~P94(x60091)+~P95(x60091)+~P30(x60091,f317(f94(x60091),x60092))+P30(x60091,f317(f94(x60091),f317(f317(f74(a1),x60092),x60092))) % 169.26/169.10 [6356]~P77(x63562)+E(x63561,f178(f906(x63562,a894)))+E(f15(x63562,f317(f300(x63562,x63562,f73(x63562)),x63561)),f317(f73(x63562),f14(x63562,x63561)))+~P1(f317(f28(x63562),x63561)) % 169.26/169.10 [6357]~P77(x63572)+E(x63571,f178(f906(x63572,a894)))+E(f14(x63572,f317(f300(x63572,x63572,f73(x63572)),x63571)),f317(f73(x63572),f15(x63572,x63571)))+~P1(f317(f28(x63572),x63571)) % 169.26/169.10 [6391]~P94(x63911)+~P95(x63911)+P30(x63911,f317(f94(x63911),x63912))+~P30(x63911,f317(f94(x63911),f317(f317(f74(a1),x63912),x63912))) % 169.26/169.10 [6485]E(x64851,f2(a1))+E(f317(a46,f45(f317(f73(a1),x64851),f317(f73(a1),x64852))),f41(x64851,x64852))+P1(f317(f317(f224(a1),f2(a1)),x64852))+~P1(f317(f317(f224(a1),f2(a1)),x64851)) % 169.26/169.10 [8803]~P42(x88032)+~P42(x88031)+P1(f317(f317(f225(f906(a897,a894)),f317(f300(a1,a897,a95),x88031)),f317(f300(a1,a897,a95),x88032)))+~P1(f317(f317(f225(f906(a1,a894)),x88031),x88032)) % 169.26/169.10 [9034]~E(f709(x90342,x90341),f710(x90342,x90341))+~P1(f317(f127(x90341),f711(x90342,x90341)))+~P1(f317(f127(f898(x90341)),x90342))+P1(f317(f127(x90341),f317(f132(f898(x90341),f898(x90341),f124(x90341),f103(x90341)),x90342))) % 169.26/169.10 [9120]~P42(x91202)+~P42(x91201)+~P1(f317(f317(f224(f906(a897,a894)),f317(f300(a1,a897,a95),x91201)),f317(f300(a1,a897,a95),x91202)))+P1(f317(f317(f224(f906(a1,a894)),x91201),x91202)) % 169.26/169.10 [9121]~P42(x91212)+~P42(x91211)+~P1(f317(f317(f225(f906(a897,a894)),f317(f300(a1,a897,a95),x91211)),f317(f300(a1,a897,a95),x91212)))+P1(f317(f317(f225(f906(a1,a894)),x91211),x91212)) % 169.26/169.10 [9128]~E(f709(x91282,x91281),f710(x91282,x91281))+~P1(f317(f127(f898(x91281)),x91282))+P1(f317(f127(x91281),f317(f132(f898(x91281),f898(x91281),f124(x91281),f103(x91281)),x91282)))+P1(f317(f317(f319(f898(x91281)),f711(x91282,x91281)),f317(f162(f898(x91281)),x91282))) % 169.26/169.10 [9169]~P1(f317(f127(x91691),f711(x91692,x91691)))+~P1(f317(f127(f898(x91691)),x91692))+P1(f317(f127(x91691),f317(f132(f898(x91691),f898(x91691),f124(x91691),f103(x91691)),x91692)))+P1(f317(f317(f319(f898(x91691)),f710(x91692,x91691)),f317(f162(f898(x91691)),x91692))) % 169.26/169.10 [9170]~P1(f317(f127(x91701),f711(x91702,x91701)))+~P1(f317(f127(f898(x91701)),x91702))+P1(f317(f127(x91701),f317(f132(f898(x91701),f898(x91701),f124(x91701),f103(x91701)),x91702)))+P1(f317(f317(f319(f898(x91701)),f709(x91702,x91701)),f317(f162(f898(x91701)),x91702))) % 169.26/169.10 [9247]~P1(f317(f127(f898(x92471)),x92472))+P1(f317(f127(x92471),f317(f132(f898(x92471),f898(x92471),f124(x92471),f103(x92471)),x92472)))+P1(f317(f317(f319(f898(x92471)),f710(x92472,x92471)),f317(f162(f898(x92471)),x92472)))+P1(f317(f317(f319(f898(x92471)),f711(x92472,x92471)),f317(f162(f898(x92471)),x92472))) % 169.26/169.10 [9248]~P1(f317(f127(f898(x92481)),x92482))+P1(f317(f127(x92481),f317(f132(f898(x92481),f898(x92481),f124(x92481),f103(x92481)),x92482)))+P1(f317(f317(f319(f898(x92481)),f709(x92482,x92481)),f317(f162(f898(x92481)),x92482)))+P1(f317(f317(f319(f898(x92481)),f711(x92482,x92481)),f317(f162(f898(x92481)),x92482))) % 169.26/169.10 [9262]~E(f317(f317(f92(f906(x92621,a894)),f317(f162(x92621),f710(x92622,x92621))),f317(f162(x92621),f709(x92622,x92621))),f178(f906(x92621,a894)))+~P1(f317(f127(x92621),f711(x92622,x92621)))+~P1(f317(f127(f898(x92621)),x92622))+P1(f317(f127(x92621),f317(f132(f898(x92621),f898(x92621),f124(x92621),f103(x92621)),x92622))) % 169.26/169.10 [9325]~E(f317(f317(f92(f906(x93251,a894)),f317(f162(x93251),f710(x93252,x93251))),f317(f162(x93251),f709(x93252,x93251))),f178(f906(x93251,a894)))+~P1(f317(f127(f898(x93251)),x93252))+P1(f317(f127(x93251),f317(f132(f898(x93251),f898(x93251),f124(x93251),f103(x93251)),x93252)))+P1(f317(f317(f319(f898(x93251)),f711(x93252,x93251)),f317(f162(f898(x93251)),x93252))) % 169.26/169.10 [9614]E(x96141,f2(a1))+E(x96142,f2(a1))+E(f317(f317(f80(a1,f905(a1,a1)),f317(f317(a207,x96142),x96141)),f317(f317(f18(a1,a1,f905(a1,a1)),f317(f317(f8(a1,f906(a1,f905(a1,a1)),a1),f242(a1,a1)),f317(f30(a1),x96142))),f317(f30(a1),x96141))),f205(x96142,x96141))+P1(f317(f317(f225(a1),x96141),f2(a1))) % 169.26/169.10 [8347]~P95(x83472)+~P111(x83472)+~P1(f317(f317(f224(x83472),f317(f94(x83472),x83471)),f72(x83472)))+P1(f317(f317(f224(a1),x83471),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))) % 169.26/169.10 [8348]~P95(x83482)+~P111(x83482)+~P1(f317(f317(f225(x83482),f317(f94(x83482),x83481)),f72(x83482)))+P1(f317(f317(f225(a1),x83481),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))) % 169.26/169.10 [8619]~P111(x86191)+~P95(x86191)+P1(f317(f317(f224(x86191),f317(f94(x86191),x86192)),f72(x86191)))+~P1(f317(f317(f224(a1),x86192),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))) % 169.26/169.10 [8620]~P111(x86201)+~P95(x86201)+P1(f317(f317(f225(x86201),f317(f94(x86201),x86202)),f72(x86201)))+~P1(f317(f317(f225(a1),x86202),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87))) % 169.26/169.10 [8831]~P95(x88312)+~P111(x88312)+~P1(f317(f317(f224(x88312),f72(x88312)),f317(f94(x88312),x88311)))+P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x88311)) % 169.26/169.10 [8832]~P95(x88322)+~P111(x88322)+~P1(f317(f317(f225(x88322),f72(x88322)),f317(f94(x88322),x88321)))+P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x88321)) % 169.26/169.10 [9207]~P111(x92071)+~P95(x92071)+P1(f317(f317(f224(x92071),f72(x92071)),f317(f94(x92071),x92072)))+~P1(f317(f317(f224(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x92072)) % 169.26/169.10 [9208]~P111(x92081)+~P95(x92081)+P1(f317(f317(f225(x92081),f72(x92081)),f317(f94(x92081),x92082)))+~P1(f317(f317(f225(a1),f317(f317(f23(a1),f317(f317(f74(a1),a77),a77)),a87)),x92082)) % 169.26/169.10 [9744]~P143(x97442)+E(x97441,f72(x97442))+E(x97441,f317(f73(x97442),f72(x97442)))+~E(f317(f317(f234(x97442),x97441),f317(f94(a897),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(x97442)) % 169.26/169.10 [10012]~P95(x100121)+~P66(x100121)+~P1(f317(f317(f225(x100121),f2(x100121)),x100122))+P1(f317(f317(f225(x100121),f2(x100121)),f317(f317(f281(x100121),x100122),f317(f94(x100121),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)))))) % 169.26/169.10 [10064]~P95(x100641)+~P66(x100641)+P1(f317(f317(f225(x100641),f2(x100641)),x100642))+~P1(f317(f317(f225(x100641),f2(x100641)),f317(f317(f281(x100641),x100642),f317(f94(x100641),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)))))) % 169.26/169.10 [10358]~P128(x103582)+E(x103581,f2(a1))+P1(f317(f317(f225(a1),x103581),f2(a1)))+E(f317(f317(f247(a1,a1,x103582),f317(f317(f7(a1,f906(a1,f906(x103582,x103582)),f906(a1,x103582)),f317(f317(f8(f906(f906(x103582,x103582),x103582),f906(f906(a1,f906(x103582,x103582)),f906(a1,x103582)),a1),f8(f906(x103582,x103582),x103582,a1)),f317(f317(f8(x103582,f906(f906(x103582,x103582),x103582),a1),f80(x103582,x103582)),f93(x103582)))),f317(f317(f7(a1,f906(x103582,x103582),f906(x103582,x103582)),f317(f317(f8(f906(x103582,f906(x103582,x103582)),f906(f906(x103582,x103582),f906(x103582,x103582)),a1),f18(x103582,x103582,x103582)),f317(f317(f7(a1,f906(x103582,x103582),f906(x103582,f906(x103582,x103582))),f317(f317(f8(f906(x103582,f906(x103582,x103582)),f906(f906(x103582,x103582),f906(x103582,f906(x103582,x103582))),a1),f8(x103582,f906(x103582,x103582),x103582)),f317(f317(f8(a894,f906(x103582,f906(x103582,x103582)),a1),f86(x103582)),f317(f317(f7(a1,a1,a894),a314),f2(a1))))),f317(f317(f18(x103582,x103582,x103582),f74(x103582)),f5(x103582))))),f317(f317(f7(x103582,x103582,x103582),f317(f317(f8(x103582,f906(x103582,x103582),x103582),f74(x103582)),f317(f317(f18(x103582,x103582,x103582),f74(x103582)),f5(x103582)))),f72(x103582))))),f41(x103581,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(x103582),x103581)) % 169.26/169.10 [5393]~P40(x53931,x53933)+~P54(x53931,x53933)+~P55(x53931,x53932,x53933)+P11(x53931,x53932,x53933) % 169.26/169.10 [4929]~P94(x49293)+~P95(x49293)+E(x49291,x49292)+~E(f317(f94(x49293),x49291),f317(f94(x49293),x49292)) % 169.26/169.10 [5403]~P52(x54031,x54032)+~P53(x54031,x54032)+P18(x54031,x54032)+~P1(f317(f317(x54032,x54033),x54033)) % 169.26/169.10 [5910]P18(x59102,x59101)+E(f317(x59101,f785(x59101)),f317(x59101,f786(x59101)))+P1(f317(f317(x59101,f785(x59101)),f786(x59101)))+~P1(f317(f317(x59101,x59103),x59103)) % 169.26/169.10 [6117]~P1(f317(x61171,x61172))+~P1(f317(x61171,x61173))+~P1(f317(f317(f224(a897),x61173),f613(x61172,x61171)))+P1(f317(x61171,f2(a897))) % 169.26/169.10 [6184]P18(x61841,x61842)+P1(f317(f317(x61842,f785(x61842)),f785(x61842)))+P1(f317(f317(x61842,f785(x61842)),f786(x61842)))+~P1(f317(f317(x61842,x61843),x61843)) % 169.26/169.10 [6185]P18(x61851,x61852)+P1(f317(f317(x61852,f785(x61852)),f786(x61852)))+P1(f317(f317(x61852,f786(x61852)),f786(x61852)))+~P1(f317(f317(x61852,x61853),x61853)) % 169.26/169.10 [6550]P147(x65502,x65501,x65503)+E(x65501,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f835(x65503,x65501,x65502)))+P1(f317(f317(f225(a1),x65501),f2(a1))) % 169.26/169.10 [6551]P148(x65512,x65511,x65513)+E(x65511,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f843(x65513,x65511,x65512)))+P1(f317(f317(f225(a1),x65511),f2(a1))) % 169.26/169.10 [6680]P147(x66801,x66802,x66803)+~P1(f317(x66801,x66803))+P1(f317(f317(f224(a1),f2(a1)),f835(x66803,x66802,x66801)))+P1(f317(f317(f225(a1),x66802),f2(a1))) % 169.26/169.10 [6706]P148(x67061,x67062,x67063)+P1(f317(f317(f224(a1),f2(a1)),f843(x67063,x67062,x67061)))+~P1(f317(x67061,f2(a1)))+P1(f317(f317(f225(a1),x67062),f2(a1))) % 169.26/169.10 [6738]P147(x67382,x67381,x67383)+E(x67381,f2(a1))+~P1(f317(x67382,f835(x67383,x67381,x67382)))+P1(f317(f317(f225(a1),x67381),f2(a1))) % 169.26/169.10 [6739]P148(x67392,x67391,x67393)+E(x67391,f2(a1))+~P1(f317(x67392,f844(x67393,x67391,x67392)))+P1(f317(f317(f225(a1),x67391),f2(a1))) % 169.26/169.10 [6841]~P4(x68411)+~P8(x68411)+~P1(f317(f317(f225(x68411),x68412),f31(x68411,x68413)))+P1(f317(f317(f225(x68411),x68412),f591(x68413,x68412,x68411))) % 169.26/169.10 [6851]P147(x68511,x68512,x68513)+~P1(f317(x68511,x68513))+~P1(f317(x68511,f835(x68513,x68512,x68511)))+P1(f317(f317(f225(a1),x68512),f2(a1))) % 169.26/169.10 [6883]P148(x68831,x68832,x68833)+~P1(f317(x68831,f844(x68833,x68832,x68831)))+~P1(f317(x68831,f2(a1)))+P1(f317(f317(f225(a1),x68832),f2(a1))) % 169.26/169.10 [7136]P147(x71362,x71361,x71363)+E(x71361,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f835(x71363,x71361,x71362)))+P1(f317(f317(f225(a1),x71361),f834(x71363,x71361,x71362))) % 169.26/169.10 [7137]P148(x71372,x71371,x71373)+E(x71371,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f843(x71373,x71371,x71372)))+P1(f317(f317(f225(a1),x71371),f842(x71373,x71371,x71372))) % 169.26/169.10 [7257]P147(x72571,x72572,x72573)+~P1(f317(x72571,x72573))+P1(f317(f317(f224(a1),f2(a1)),f835(x72573,x72572,x72571)))+P1(f317(f317(f225(a1),x72572),f834(x72573,x72572,x72571))) % 169.26/169.10 [7278]P148(x72781,x72782,x72783)+P1(f317(f317(f224(a1),f2(a1)),f843(x72783,x72782,x72781)))+P1(f317(f317(f225(a1),x72782),f842(x72783,x72782,x72781)))+~P1(f317(x72781,f2(a1))) % 169.26/169.10 [7309]P147(x73092,x73091,x73093)+E(x73091,f2(a1))+~P1(f317(x73092,f835(x73093,x73091,x73092)))+P1(f317(f317(f225(a1),x73091),f834(x73093,x73091,x73092))) % 169.26/169.10 [7310]P148(x73102,x73101,x73103)+E(x73101,f2(a1))+~P1(f317(x73102,f844(x73103,x73101,x73102)))+P1(f317(f317(f225(a1),x73101),f842(x73103,x73101,x73102))) % 169.26/169.10 [7354]P147(x73542,x73541,x73543)+E(x73541,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f835(x73543,x73541,x73542)))+~P1(f317(x73542,f834(x73543,x73541,x73542))) % 169.26/169.10 [7355]P148(x73552,x73551,x73553)+E(x73551,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f843(x73553,x73551,x73552)))+~P1(f317(x73552,f846(x73553,x73551,x73552))) % 169.26/169.10 [7452]P147(x74521,x74522,x74523)+~P1(f317(x74521,x74523))+~P1(f317(x74521,f835(x74523,x74522,x74521)))+P1(f317(f317(f225(a1),x74522),f834(x74523,x74522,x74521))) % 169.26/169.10 [7467]P148(x74671,x74672,x74673)+~P1(f317(x74671,f844(x74673,x74672,x74671)))+P1(f317(f317(f225(a1),x74672),f842(x74673,x74672,x74671)))+~P1(f317(x74671,f2(a1))) % 169.26/169.10 [7470]P147(x74701,x74702,x74703)+~P1(f317(x74701,x74703))+P1(f317(f317(f224(a1),f2(a1)),f835(x74703,x74702,x74701)))+~P1(f317(x74701,f834(x74703,x74702,x74701))) % 169.26/169.10 [7487]P148(x74871,x74872,x74873)+P1(f317(f317(f224(a1),f2(a1)),f843(x74873,x74872,x74871)))+~P1(f317(x74871,f846(x74873,x74872,x74871)))+~P1(f317(x74871,f2(a1))) % 169.26/169.10 [7510]P147(x75102,x75101,x75103)+E(x75101,f2(a1))+~P1(f317(x75102,f835(x75103,x75101,x75102)))+~P1(f317(x75102,f834(x75103,x75101,x75102))) % 169.26/169.10 [7511]P148(x75112,x75111,x75113)+E(x75111,f2(a1))+~P1(f317(x75112,f844(x75113,x75111,x75112)))+~P1(f317(x75112,f846(x75113,x75111,x75112))) % 169.26/169.10 [7595]P147(x75951,x75952,x75953)+~P1(f317(x75951,x75953))+~P1(f317(x75951,f835(x75953,x75952,x75951)))+~P1(f317(x75951,f834(x75953,x75952,x75951))) % 169.26/169.10 [7613]P148(x76131,x76132,x76133)+~P1(f317(x76131,f844(x76133,x76132,x76131)))+~P1(f317(x76131,f846(x76133,x76132,x76131)))+~P1(f317(x76131,f2(a1))) % 169.26/169.10 [7660]P147(x76602,x76601,x76603)+E(x76601,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f835(x76603,x76601,x76602)))+P1(f317(f317(f224(a1),f834(x76603,x76601,x76602)),f2(a1))) % 169.26/169.10 [7661]P148(x76612,x76611,x76613)+E(x76611,f2(a1))+P1(f317(f317(f224(a1),f2(a1)),f843(x76613,x76611,x76612)))+P1(f317(f317(f224(a1),f842(x76613,x76611,x76612)),f2(a1))) % 169.26/169.10 [7662]~P86(x76621)+~P1(f317(f317(f224(x76621),x76623),f2(x76621)))+~P1(f317(f317(f224(x76621),x76622),f2(x76621)))+P1(f317(f317(f224(x76621),f317(f317(f74(x76621),x76622),x76623)),f2(x76621))) % 169.26/169.10 [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(f23(x76631),x76632),x76633)),f100(x76631))) % 169.26/169.10 [7664]~P128(x76641)+~P1(f317(f317(f319(x76641),x76643),f100(x76641)))+~P1(f317(f317(f319(x76641),x76642),f100(x76641)))+P1(f317(f317(f319(x76641),f317(f317(f74(x76641),x76642),x76643)),f100(x76641))) % 169.26/169.10 [7665]~P144(x76651)+~P1(f317(f317(f319(x76651),x76653),f176(x76651)))+~P1(f317(f317(f319(x76651),x76652),f176(x76651)))+P1(f317(f317(f319(x76651),f317(f317(f74(x76651),x76652),x76653)),f176(x76651))) % 169.26/169.10 [7666]~P128(x76661)+~P1(f317(f317(f319(x76661),x76663),f100(x76661)))+~P1(f317(f317(f319(x76661),x76662),f100(x76661)))+P1(f317(f317(f319(x76661),f317(f317(f75(x76661),x76662),x76663)),f100(x76661))) % 169.26/169.10 [7667]~P144(x76671)+~P1(f317(f317(f319(x76671),x76673),f176(x76671)))+~P1(f317(f317(f319(x76671),x76672),f176(x76671)))+P1(f317(f317(f319(x76671),f317(f317(f75(x76671),x76672),x76673)),f176(x76671))) % 169.26/169.10 [7668]~P86(x76681)+~P1(f317(f317(f224(x76681),x76683),f2(x76681)))+~P1(f317(f317(f225(x76681),x76682),f2(x76681)))+P1(f317(f317(f225(x76681),f317(f317(f74(x76681),x76682),x76683)),f2(x76681))) % 169.26/169.10 [7669]~P86(x76691)+~P1(f317(f317(f224(x76691),x76692),f2(x76691)))+~P1(f317(f317(f225(x76691),x76693),f2(x76691)))+P1(f317(f317(f225(x76691),f317(f317(f74(x76691),x76692),x76693)),f2(x76691))) % 169.26/169.10 [7670]~P86(x76701)+~P1(f317(f317(f225(x76701),x76703),f2(x76701)))+~P1(f317(f317(f225(x76701),x76702),f2(x76701)))+P1(f317(f317(f225(x76701),f317(f317(f74(x76701),x76702),x76703)),f2(x76701))) % 169.26/169.10 [7697]P147(x76973,x76971,x76972)+E(x76971,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76971),f838(x76972,x76971,x76973))),f835(x76972,x76971,x76973)),x76972)+P1(f317(f317(f225(a1),x76971),f2(a1))) % 169.26/169.10 [7698]P148(x76983,x76981,x76982)+E(x76981,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x76981),f844(x76982,x76981,x76983))),f843(x76982,x76981,x76983)),x76982)+P1(f317(f317(f225(a1),x76981),f2(a1))) % 169.26/169.10 [7781]P147(x77811,x77812,x77813)+~P1(f317(x77811,x77813))+P1(f317(f317(f224(a1),f2(a1)),f835(x77813,x77812,x77811)))+P1(f317(f317(f224(a1),f834(x77813,x77812,x77811)),f2(a1))) % 169.26/169.10 [7812]P148(x78121,x78122,x78123)+P1(f317(f317(f224(a1),f2(a1)),f843(x78123,x78122,x78121)))+~P1(f317(x78121,f2(a1)))+P1(f317(f317(f224(a1),f842(x78123,x78122,x78121)),f2(a1))) % 169.26/169.10 [7821]P147(x78213,x78211,x78212)+~P1(f317(x78213,x78212))+E(f317(f317(f74(a1),f317(f317(f75(a1),x78211),f838(x78212,x78211,x78213))),f835(x78212,x78211,x78213)),x78212)+P1(f317(f317(f225(a1),x78211),f2(a1))) % 169.26/169.10 [7827]P147(x78272,x78271,x78273)+E(x78271,f2(a1))+~P1(f317(x78272,f835(x78273,x78271,x78272)))+P1(f317(f317(f224(a1),f834(x78273,x78271,x78272)),f2(a1))) % 169.26/169.10 [7828]P148(x78282,x78281,x78283)+E(x78281,f2(a1))+~P1(f317(x78282,f844(x78283,x78281,x78282)))+P1(f317(f317(f224(a1),f842(x78283,x78281,x78282)),f2(a1))) % 169.26/169.10 [7833]P148(x78333,x78331,x78332)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78331),f844(x78332,x78331,x78333))),f843(x78332,x78331,x78333)),x78332)+~P1(f317(x78333,f2(a1)))+P1(f317(f317(f225(a1),x78331),f2(a1))) % 169.26/169.10 [7890]P147(x78901,x78902,x78903)+~P1(f317(x78901,x78903))+~P1(f317(x78901,f835(x78903,x78902,x78901)))+P1(f317(f317(f224(a1),f834(x78903,x78902,x78901)),f2(a1))) % 169.26/169.10 [7894]P148(x78941,x78942,x78943)+~P1(f317(x78941,f844(x78943,x78942,x78941)))+~P1(f317(x78941,f2(a1)))+P1(f317(f317(f224(a1),f842(x78943,x78942,x78941)),f2(a1))) % 169.26/169.10 [7962]~P125(x79621)+~P1(f317(f317(f224(x79621),f317(f317(f75(x79621),x79623),x79622)),f2(x79621)))+P1(f317(f317(f224(x79621),x79622),f2(x79621)))+P1(f317(f317(f224(x79621),x79623),f2(x79621))) % 169.26/169.10 [7963]~P66(x79631)+~P1(f317(f317(f224(x79631),f317(f317(f281(x79631),x79633),x79632)),f2(x79631)))+P1(f317(f317(f224(x79631),x79632),f2(x79631)))+P1(f317(f317(f224(x79631),x79633),f2(x79631))) % 169.26/169.10 [7964]~P66(x79641)+~P1(f317(f317(f225(x79641),f317(f317(f281(x79641),x79643),x79642)),f2(x79641)))+P1(f317(f317(f225(x79641),x79642),f2(x79641)))+P1(f317(f317(f225(x79641),x79643),f2(x79641))) % 169.26/169.10 [8077]P147(x80773,x80771,x80772)+E(x80771,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80771),f838(x80772,x80771,x80773))),f835(x80772,x80771,x80773)),x80772)+P1(f317(f317(f225(a1),x80771),f834(x80772,x80771,x80773))) % 169.26/169.10 [8078]P148(x80783,x80781,x80782)+E(x80781,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80781),f844(x80782,x80781,x80783))),f843(x80782,x80781,x80783)),x80782)+P1(f317(f317(f225(a1),x80781),f842(x80782,x80781,x80783))) % 169.26/169.10 [8090]P147(x80903,x80901,x80902)+E(x80901,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80901),f841(x80902,x80901,x80903))),f834(x80902,x80901,x80903)),x80902)+P1(f317(f317(f224(a1),f2(a1)),f835(x80902,x80901,x80903))) % 169.26/169.10 [8091]P148(x80913,x80911,x80912)+E(x80911,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x80911),f846(x80912,x80911,x80913))),f842(x80912,x80911,x80913)),x80912)+P1(f317(f317(f224(a1),f2(a1)),f843(x80912,x80911,x80913))) % 169.26/169.10 [8133]P147(x81333,x81331,x81332)+~P1(f317(x81333,x81332))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81331),f838(x81332,x81331,x81333))),f835(x81332,x81331,x81333)),x81332)+P1(f317(f317(f225(a1),x81331),f834(x81332,x81331,x81333))) % 169.26/169.10 [8142]P148(x81423,x81421,x81422)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81421),f844(x81422,x81421,x81423))),f843(x81422,x81421,x81423)),x81422)+P1(f317(f317(f225(a1),x81421),f842(x81422,x81421,x81423)))+~P1(f317(x81423,f2(a1))) % 169.26/169.10 [8148]P147(x81483,x81481,x81482)+~P1(f317(x81483,x81482))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81481),f841(x81482,x81481,x81483))),f834(x81482,x81481,x81483)),x81482)+P1(f317(f317(f224(a1),f2(a1)),f835(x81482,x81481,x81483))) % 169.26/169.10 [8154]P148(x81543,x81541,x81542)+E(f317(f317(f74(a1),f317(f317(f75(a1),x81541),f846(x81542,x81541,x81543))),f842(x81542,x81541,x81543)),x81542)+P1(f317(f317(f224(a1),f2(a1)),f843(x81542,x81541,x81543)))+~P1(f317(x81543,f2(a1))) % 169.26/169.10 [8165]P147(x81653,x81651,x81652)+E(x81651,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81651),f838(x81652,x81651,x81653))),f835(x81652,x81651,x81653)),x81652)+~P1(f317(x81653,f834(x81652,x81651,x81653))) % 169.26/169.10 [8166]P148(x81663,x81661,x81662)+E(x81661,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81661),f844(x81662,x81661,x81663))),f843(x81662,x81661,x81663)),x81662)+~P1(f317(x81663,f846(x81662,x81661,x81663))) % 169.26/169.10 [8167]P147(x81673,x81671,x81672)+E(x81671,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81671),f841(x81672,x81671,x81673))),f834(x81672,x81671,x81673)),x81672)+~P1(f317(x81673,f835(x81672,x81671,x81673))) % 169.26/169.10 [8168]P148(x81683,x81681,x81682)+E(x81681,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x81681),f846(x81682,x81681,x81683))),f842(x81682,x81681,x81683)),x81682)+~P1(f317(x81683,f844(x81682,x81681,x81683))) % 169.26/169.10 [8227]P147(x82273,x82271,x82272)+~P1(f317(x82273,x82272))+E(f317(f317(f74(a1),f317(f317(f75(a1),x82271),f838(x82272,x82271,x82273))),f835(x82272,x82271,x82273)),x82272)+~P1(f317(x82273,f834(x82272,x82271,x82273))) % 169.26/169.10 [8228]P147(x82283,x82281,x82282)+~P1(f317(x82283,x82282))+E(f317(f317(f74(a1),f317(f317(f75(a1),x82281),f841(x82282,x82281,x82283))),f834(x82282,x82281,x82283)),x82282)+~P1(f317(x82283,f835(x82282,x82281,x82283))) % 169.26/169.10 [8241]P148(x82413,x82411,x82412)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82411),f844(x82412,x82411,x82413))),f843(x82412,x82411,x82413)),x82412)+~P1(f317(x82413,f846(x82412,x82411,x82413)))+~P1(f317(x82413,f2(a1))) % 169.26/169.10 [8242]P148(x82423,x82421,x82422)+E(f317(f317(f74(a1),f317(f317(f75(a1),x82421),f846(x82422,x82421,x82423))),f842(x82422,x82421,x82423)),x82422)+~P1(f317(x82423,f844(x82422,x82421,x82423)))+~P1(f317(x82423,f2(a1))) % 169.26/169.10 [8340]P147(x83403,x83401,x83402)+E(x83401,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83401),f838(x83402,x83401,x83403))),f835(x83402,x83401,x83403)),x83402)+P1(f317(f317(f224(a1),f834(x83402,x83401,x83403)),f2(a1))) % 169.26/169.10 [8341]P148(x83413,x83411,x83412)+E(x83411,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83411),f844(x83412,x83411,x83413))),f843(x83412,x83411,x83413)),x83412)+P1(f317(f317(f224(a1),f842(x83412,x83411,x83413)),f2(a1))) % 169.26/169.10 [8381]P147(x83813,x83811,x83812)+~P1(f317(x83813,x83812))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83811),f838(x83812,x83811,x83813))),f835(x83812,x83811,x83813)),x83812)+P1(f317(f317(f224(a1),f834(x83812,x83811,x83813)),f2(a1))) % 169.26/169.10 [8386]P148(x83863,x83861,x83862)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83861),f844(x83862,x83861,x83863))),f843(x83862,x83861,x83863)),x83862)+~P1(f317(x83863,f2(a1)))+P1(f317(f317(f224(a1),f842(x83862,x83861,x83863)),f2(a1))) % 169.26/169.10 [8521]P147(x85213,x85211,x85212)+E(x85211,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85211),f841(x85212,x85211,x85213))),f834(x85212,x85211,x85213)),x85212)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85211),f838(x85212,x85211,x85213))),f835(x85212,x85211,x85213)),x85212) % 169.26/169.10 [8522]P148(x85223,x85221,x85222)+E(x85221,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85221),f846(x85222,x85221,x85223))),f842(x85222,x85221,x85223)),x85222)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85221),f844(x85222,x85221,x85223))),f843(x85222,x85221,x85223)),x85222) % 169.26/169.10 [8542]P147(x85423,x85421,x85422)+~P1(f317(x85423,x85422))+E(f317(f317(f74(a1),f317(f317(f75(a1),x85421),f841(x85422,x85421,x85423))),f834(x85422,x85421,x85423)),x85422)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85421),f838(x85422,x85421,x85423))),f835(x85422,x85421,x85423)),x85422) % 169.26/169.10 [8553]P148(x85533,x85531,x85532)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85531),f846(x85532,x85531,x85533))),f842(x85532,x85531,x85533)),x85532)+E(f317(f317(f74(a1),f317(f317(f75(a1),x85531),f844(x85532,x85531,x85533))),f843(x85532,x85531,x85533)),x85532)+~P1(f317(x85533,f2(a1))) % 169.26/169.10 [9215]~P125(x92151)+~E(x92153,f2(x92151))+~E(x92152,f2(x92151))+P1(f317(f317(f224(x92151),f317(f317(f74(x92151),f317(f317(f75(x92151),x92152),x92152)),f317(f317(f75(x92151),x92153),x92153))),f2(x92151))) % 169.26/169.10 [10299]~P111(x102991)+~E(x102993,f2(x102991))+~E(x102992,f2(x102991))+P1(f317(f317(f224(x102991),f317(f317(f74(x102991),f317(f317(f234(x102991),x102992),f317(f94(a897),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(x102991),x102993),f317(f94(a897),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(x102991))) % 169.26/169.10 [4877]~E(x48773,x48771)+~P122(x48772)+E(x48771,f2(x48772))+E(f317(f317(f281(x48772),x48773),x48771),f72(x48772)) % 169.26/169.10 [4930]~P102(x49301)+~E(x49303,f178(x49301))+~E(x49302,f178(x49301))+E(f317(f317(f91(x49301),x49302),x49303),f178(x49301)) % 169.26/169.10 [4931]~P105(x49311)+~E(x49313,f232(x49311))+~E(x49312,f232(x49311))+E(f317(f317(f92(x49311),x49312),x49313),f232(x49311)) % 169.26/169.10 [5028]~P122(x50283)+E(x50281,x50282)+E(x50282,f2(x50283))+~E(f317(f317(f281(x50283),x50281),x50282),f72(x50283)) % 169.26/169.10 [5046]~P133(x50462)+E(x50461,f2(x50462))+E(x50463,f2(x50462))+~E(f317(f317(f75(x50462),x50463),x50461),f2(x50462)) % 169.26/169.10 [5047]~P142(x50472)+E(x50471,f2(x50472))+E(x50473,f2(x50472))+~E(f317(f317(f75(x50472),x50473),x50471),f2(x50472)) % 169.26/169.10 [5422]~P120(x54223)+E(x54221,x54222)+E(x54221,f317(f73(x54223),x54222))+~E(f317(f317(f75(x54223),x54221),x54221),f317(f317(f75(x54223),x54222),x54222)) % 169.26/169.10 [5461]~P98(x54611)+E(f317(f73(x54611),x54612),x54613)+~E(f317(f317(f91(x54611),x54612),x54613),f232(x54611))+~E(f317(f317(f92(x54611),x54612),x54613),f178(x54611)) % 169.26/169.10 [5542]~P111(x55423)+E(x55421,x55422)+P1(f317(f317(f225(x55423),x55422),x55421))+P1(f317(f317(f225(x55423),x55421),x55422)) % 169.26/169.10 [5543]~P4(x55433)+E(x55431,x55432)+P1(f317(f317(f225(x55433),x55432),x55431))+P1(f317(f317(f225(x55433),x55431),x55432)) % 169.26/169.10 [5544]~E(x55442,x55443)+~P4(x55441)+P1(f317(f317(f225(x55441),x55442),x55443))+P1(f317(f317(f224(x55441),x55442),x55443)) % 169.26/169.10 [5805]~P109(x58053)+E(x58051,x58052)+~P1(f317(f317(f224(x58053),x58052),x58051))+P1(f317(f317(f225(x58053),x58052),x58051)) % 169.26/169.10 [5807]~P4(x58073)+E(x58071,x58072)+~P1(f317(f317(f224(x58073),x58071),x58072))+P1(f317(f317(f225(x58073),x58071),x58072)) % 169.26/169.10 [5813]~P109(x58133)+E(x58131,x58132)+~P1(f317(f317(f224(x58133),x58131),x58132))+P1(f317(f317(f225(x58133),x58131),x58132)) % 169.26/169.10 [5927]P147(x59271,x59272,x59273)+~P1(f317(x59271,x59273))+P1(f317(f317(f225(a1),x59272),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x59272)) % 169.26/169.10 [5981]P148(x59811,x59812,x59813)+~P1(f317(x59811,f2(a1)))+P1(f317(f317(f225(a1),x59812),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x59812)) % 169.26/169.10 [5986]~P101(x59861)+E(f317(f317(f91(x59861),x59862),f10(x59861,x59863)),x59862)+~P1(f317(f28(x59861),x59863))+~P1(f317(f317(f319(x59861),x59862),x59863)) % 169.26/169.10 [5987]~P101(x59871)+E(f317(f317(f92(x59871),x59872),f13(x59871,x59873)),x59872)+~P1(f317(f28(x59871),x59873))+~P1(f317(f317(f319(x59871),x59872),x59873)) % 169.26/169.10 [6026]~P4(x60261)+E(f317(f317(f228(x60261),x60262),f14(x60261,x60263)),f14(x60261,x60263))+~P1(f317(f28(x60261),x60263))+~P1(f317(f317(f319(x60261),x60262),x60263)) % 169.26/169.10 [6027]~P4(x60271)+E(f317(f317(f223(x60271),x60272),f15(x60271,x60273)),f15(x60271,x60273))+~P1(f317(f28(x60271),x60273))+~P1(f317(f317(f319(x60271),x60272),x60273)) % 169.26/169.10 [6028]~P101(x60281)+E(f317(f317(f91(x60281),x60282),f13(x60281,x60283)),f13(x60281,x60283))+~P1(f317(f28(x60281),x60283))+~P1(f317(f317(f319(x60281),x60282),x60283)) % 169.26/169.10 [6029]~P101(x60291)+E(f317(f317(f92(x60291),x60292),f10(x60291,x60293)),f10(x60291,x60293))+~P1(f317(f28(x60291),x60293))+~P1(f317(f317(f319(x60291),x60292),x60293)) % 169.26/169.10 [6068]E(x60681,x60682)+~P109(x60683)+~P1(f317(f317(f224(x60683),x60682),x60681))+~P1(f317(f317(f224(x60683),x60681),x60682)) % 169.26/169.10 [6213]~P2(x62131)+P1(f317(f317(f225(x62131),x62133),x62132))+~P1(f317(f317(f224(x62131),x62133),x62132))+P1(f317(f317(f224(x62131),x62132),x62133)) % 169.26/169.10 [6241]~P4(x62411)+~P1(f317(f28(x62411),x62413))+P1(f317(f317(f224(x62411),x62412),f15(x62411,x62413)))+~P1(f317(f317(f319(x62411),x62412),x62413)) % 169.26/169.10 [6290]~P4(x62901)+E(f317(f317(f228(x62901),x62902),f12(x62901,f223(x62901),x62903)),x62902)+~P1(f317(f28(x62901),x62903))+~P1(f317(f317(f319(x62901),x62902),x62903)) % 169.26/169.10 [6291]~P4(x62911)+E(f317(f317(f223(x62911),x62912),f11(x62911,f228(x62911),x62913)),x62912)+~P1(f317(f28(x62911),x62913))+~P1(f317(f317(f319(x62911),x62912),x62913)) % 169.26/169.10 [6437]E(x64371,x64372)+~E(f317(f317(f23(a897),x64371),x64373),f317(f317(f23(a897),x64372),x64373))+~P1(f317(f317(f224(a897),x64373),x64371))+~P1(f317(f317(f224(a897),x64373),x64372)) % 169.26/169.10 [6464]~P4(x64641)+~P1(f317(f28(x64641),x64642))+~P1(f317(f317(f319(x64641),x64643),x64642))+P1(f317(f317(f224(x64641),f14(x64641,x64642)),x64643)) % 169.26/169.10 [6529]P147(x65292,x65291,x65293)+E(x65291,f2(a1))+P1(f317(f317(f225(a1),x65291),f834(x65293,x65291,x65292)))+P1(f317(f317(f225(a1),f2(a1)),x65291)) % 169.26/169.10 [6530]P148(x65302,x65301,x65303)+E(x65301,f2(a1))+P1(f317(f317(f225(a1),x65301),f842(x65303,x65301,x65302)))+P1(f317(f317(f225(a1),f2(a1)),x65301)) % 169.26/169.10 [6531]~P4(x65311)+E(f317(f317(f228(x65311),x65312),f11(x65311,f228(x65311),x65313)),f11(x65311,f228(x65311),x65313))+~P1(f317(f28(x65311),x65313))+~P1(f317(f317(f319(x65311),x65312),x65313)) % 169.26/169.10 [6532]~P4(x65321)+E(f317(f317(f223(x65321),x65322),f12(x65321,f223(x65321),x65323)),f12(x65321,f223(x65321),x65323))+~P1(f317(f28(x65321),x65323))+~P1(f317(f317(f319(x65321),x65322),x65323)) % 169.26/169.10 [6537]~P1(f317(x65371,x65372))+P1(f317(x65371,f540(x65372,x65371,x65373)))+P1(f317(x65371,f2(a897)))+~P1(f317(f317(f225(a897),x65372),x65373)) % 169.26/169.10 [6598]~P1(f317(x65981,x65982))+~P1(f317(f28(x65983),x65982))+P1(f317(x65981,f471(x65981,x65982,x65983)))+P1(f317(x65981,f178(f906(x65983,a894)))) % 169.26/169.10 [6611]~P111(x66111)+~P95(x66111)+P1(f317(f317(f224(x66111),f317(f94(x66111),x66112)),f317(f94(x66111),x66113)))+~P1(f317(f317(f224(a1),x66112),x66113)) % 169.26/169.10 [6612]~P111(x66121)+~P95(x66121)+P1(f317(f317(f225(x66121),f317(f94(x66121),x66122)),f317(f94(x66121),x66123)))+~P1(f317(f317(f225(a1),x66122),x66123)) % 169.26/169.10 [6615]~P1(f317(x66151,x66153))+~P1(f317(f28(x66152),x66153))+P1(f317(f28(x66152),f471(x66151,x66153,x66152)))+P1(f317(x66151,f178(f906(x66152,a894)))) % 169.26/169.10 [6649]P147(x66491,x66492,x66493)+~P1(f317(x66491,x66493))+P1(f317(f317(f225(a1),x66492),f834(x66493,x66492,x66491)))+P1(f317(f317(f225(a1),f2(a1)),x66492)) % 169.26/169.10 [6687]P148(x66871,x66872,x66873)+P1(f317(f317(f225(a1),x66872),f842(x66873,x66872,x66871)))+~P1(f317(x66871,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x66872)) % 169.26/169.10 [6717]~P3(x67171)+~P96(x67171)+E(f317(f317(f228(x67171),f317(f94(x67171),x67172)),f317(f94(x67171),x67173)),f317(f94(x67171),x67173))+P1(f317(f317(f224(x67171),f317(f94(x67171),x67172)),f317(f94(x67171),x67173))) % 169.26/169.10 [6718]~P3(x67181)+~P96(x67181)+E(f317(f317(f223(x67181),f317(f94(x67181),x67182)),f317(f94(x67181),x67183)),f317(f94(x67181),x67182))+P1(f317(f317(f224(x67181),f317(f94(x67181),x67182)),f317(f94(x67181),x67183))) % 169.26/169.10 [6778]P147(x67782,x67781,x67783)+E(x67781,f2(a1))+~P1(f317(x67782,f834(x67783,x67781,x67782)))+P1(f317(f317(f225(a1),f2(a1)),x67781)) % 169.26/169.10 [6779]P148(x67792,x67791,x67793)+E(x67791,f2(a1))+~P1(f317(x67792,f846(x67793,x67791,x67792)))+P1(f317(f317(f225(a1),f2(a1)),x67791)) % 169.26/169.10 [6783]P1(f317(x67831,x67832))+~P1(f317(f28(x67833),x67832))+P1(f317(x67831,f412(x67831,x67832,x67833)))+~P1(f317(x67831,f178(f906(x67833,a894)))) % 169.26/169.10 [6804]P1(f317(x68041,x68042))+P1(f317(f28(x68043),f412(x68041,x68042,x68043)))+~P1(f317(f28(x68043),x68042))+~P1(f317(x68041,f178(f906(x68043,a894)))) % 169.26/169.10 [6872]P147(x68721,x68722,x68723)+~P1(f317(x68721,x68723))+~P1(f317(x68721,f834(x68723,x68722,x68721)))+P1(f317(f317(f225(a1),f2(a1)),x68722)) % 169.26/169.10 [6902]P148(x69021,x69022,x69023)+~P1(f317(x69021,f846(x69023,x69022,x69021)))+~P1(f317(x69021,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x69022)) % 169.26/169.10 [7012]~P95(x70123)+~P111(x70123)+~P1(f317(f317(f224(x70123),f317(f94(x70123),x70121)),f317(f94(x70123),x70122)))+P1(f317(f317(f224(a1),x70121),x70122)) % 169.26/169.10 [7013]~P95(x70133)+~P111(x70133)+~P1(f317(f317(f225(x70133),f317(f94(x70133),x70131)),f317(f94(x70133),x70132)))+P1(f317(f317(f225(a1),x70131),x70132)) % 169.26/169.10 [7041]~P4(x70411)+~P16(x70411,x70413)+P16(x70411,f317(f317(f141(x70411),x70412),x70413))+~P1(f317(f317(f224(x70411),x70412),f689(x70413,x70412,x70411))) % 169.26/169.10 [7042]~P4(x70421)+~P16(x70421,x70423)+P16(x70421,f317(f317(f141(x70421),x70422),x70423))+~P1(f317(f317(f224(x70421),x70422),f691(x70423,x70422,x70421))) % 169.26/169.10 [7043]~P4(x70431)+~P16(x70431,x70433)+P16(x70431,f317(f317(f141(x70431),x70432),x70433))+~P1(f317(f317(f224(x70431),x70432),f732(x70432,x70433,x70431))) % 169.26/169.10 [7130]P147(x71302,x71301,x71303)+E(x71301,f2(a1))+P1(f317(f317(f225(a1),x71301),f2(a1)))+P1(f317(f317(f225(a1),f835(x71303,x71301,x71302)),x71301)) % 169.26/169.10 [7131]P148(x71312,x71311,x71313)+E(x71311,f2(a1))+P1(f317(f317(f225(a1),x71311),f2(a1)))+P1(f317(f317(f225(a1),f843(x71313,x71311,x71312)),x71311)) % 169.26/169.10 [7167]P147(x71672,x71671,x71673)+E(x71671,f2(a1))+P1(f317(f317(f224(a1),f834(x71673,x71671,x71672)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x71671)) % 169.26/169.10 [7168]P148(x71682,x71681,x71683)+E(x71681,f2(a1))+P1(f317(f317(f224(a1),f842(x71683,x71681,x71682)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x71681)) % 169.26/169.10 [7193]~P4(x71931)+~P16(x71931,x71933)+E(f317(f317(f138(x71931,x71931,f5(x71931)),x71932),f160(x71931,x71932,x71933)),x71933)+~P1(f317(f317(f319(x71931),x71932),f317(f162(x71931),x71933))) % 169.26/169.10 [7240]P147(x72401,x72402,x72403)+~P1(f317(x72401,x72403))+P1(f317(f317(f225(a1),x72402),f2(a1)))+P1(f317(f317(f225(a1),f835(x72403,x72402,x72401)),x72402)) % 169.26/169.10 [7246]~P3(x72461)+~P96(x72461)+E(f317(f317(f228(x72461),f317(f94(x72461),x72462)),f317(f94(x72461),x72463)),f317(f94(x72461),x72462))+~P1(f317(f317(f224(x72461),f317(f94(x72461),x72462)),f317(f94(x72461),x72463))) % 169.26/169.10 [7247]~P3(x72471)+~P96(x72471)+E(f317(f317(f223(x72471),f317(f94(x72471),x72472)),f317(f94(x72471),x72473)),f317(f94(x72471),x72473))+~P1(f317(f317(f224(x72471),f317(f94(x72471),x72472)),f317(f94(x72471),x72473))) % 169.26/169.10 [7261]P148(x72611,x72612,x72613)+~P1(f317(x72611,f2(a1)))+P1(f317(f317(f225(a1),x72612),f2(a1)))+P1(f317(f317(f225(a1),f843(x72613,x72612,x72611)),x72612)) % 169.26/169.10 [7271]P147(x72711,x72712,x72713)+~P1(f317(x72711,x72713))+P1(f317(f317(f224(a1),f834(x72713,x72712,x72711)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x72712)) % 169.26/169.10 [7295]P148(x72951,x72952,x72953)+~P1(f317(x72951,f2(a1)))+P1(f317(f317(f224(a1),f842(x72953,x72952,x72951)),f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x72952)) % 169.26/169.10 [7321]~P1(f317(x73211,x73212))+P1(f317(x73211,f2(a897)))+~P1(f317(f317(f225(a897),x73212),x73213))+P1(f317(f317(f225(a897),f540(x73212,x73211,x73213)),x73213)) % 169.26/169.10 [7338]~P4(x73381)+~P16(x73381,x73383)+P16(x73381,f317(f317(f141(x73381),x73382),x73383))+P1(f317(f317(f319(x73381),f689(x73383,x73382,x73381)),f317(f162(x73381),x73383))) % 169.26/169.10 [7339]~P4(x73391)+~P16(x73391,x73393)+P16(x73391,f317(f317(f141(x73391),x73392),x73393))+P1(f317(f317(f319(x73391),f691(x73393,x73392,x73391)),f317(f162(x73391),x73393))) % 169.26/169.10 [7340]~P4(x73401)+~P16(x73401,x73403)+P16(x73401,f317(f317(f141(x73401),x73402),x73403))+P1(f317(f317(f319(x73401),f732(x73402,x73403,x73401)),f317(f162(x73401),x73403))) % 169.26/169.10 [7456]~P4(x74561)+~P8(x74561)+~P1(f317(f317(f225(x74561),x74563),f31(x74561,x74562)))+P1(f317(f317(f319(x74561),f591(x74562,x74563,x74561)),x74562)) % 169.26/169.10 [7611]~P4(x76111)+~P8(x76111)+~P1(f317(f317(f225(x76111),f32(x76111,x76113)),x76112))+P1(f317(f317(f319(x76111),f593(x76112,x76113,x76111)),x76113)) % 169.26/169.10 [7612]~P4(x76121)+~P8(x76121)+~P1(f317(f317(f225(x76121),f32(x76121,x76123)),x76122))+P1(f317(f317(f225(x76121),f593(x76122,x76123,x76121)),x76122)) % 169.26/169.10 [7625]P147(x76252,x76251,x76253)+E(x76251,f2(a1))+P1(f317(f317(f225(a1),x76251),f834(x76253,x76251,x76252)))+P1(f317(f317(f225(a1),f835(x76253,x76251,x76252)),x76251)) % 169.26/169.10 [7626]P148(x76262,x76261,x76263)+E(x76261,f2(a1))+P1(f317(f317(f225(a1),x76261),f842(x76263,x76261,x76262)))+P1(f317(f317(f225(a1),f843(x76263,x76261,x76262)),x76261)) % 169.26/169.10 [7720]P147(x77203,x77201,x77202)+E(x77201,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77201),f841(x77202,x77201,x77203))),f834(x77202,x77201,x77203)),x77202)+P1(f317(f317(f225(a1),f2(a1)),x77201)) % 169.26/169.10 [7721]P148(x77213,x77211,x77212)+E(x77211,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x77211),f846(x77212,x77211,x77213))),f842(x77212,x77211,x77213)),x77212)+P1(f317(f317(f225(a1),f2(a1)),x77211)) % 169.26/169.10 [7724]~P136(x77241)+~P1(f317(f317(f224(x77241),x77243),f2(x77241)))+P1(f317(f317(f224(x77241),f317(f317(f75(x77241),x77242),x77243)),f2(x77241)))+~P1(f317(f317(f224(x77241),f2(x77241)),x77242)) % 169.26/169.10 [7726]~P136(x77261)+~P1(f317(f317(f224(x77261),x77262),f2(x77261)))+P1(f317(f317(f224(x77261),f317(f317(f75(x77261),x77262),x77263)),f2(x77261)))+~P1(f317(f317(f224(x77261),f2(x77261)),x77263)) % 169.26/169.10 [7727]~P125(x77271)+~P1(f317(f317(f224(x77271),x77273),f2(x77271)))+P1(f317(f317(f224(x77271),f317(f317(f75(x77271),x77272),x77273)),f2(x77271)))+~P1(f317(f317(f224(x77271),f2(x77271)),x77272)) % 169.26/169.10 [7728]~P125(x77281)+~P1(f317(f317(f224(x77281),x77282),f2(x77281)))+P1(f317(f317(f224(x77281),f317(f317(f75(x77281),x77282),x77283)),f2(x77281)))+~P1(f317(f317(f224(x77281),f2(x77281)),x77283)) % 169.26/169.10 [7729]~P66(x77291)+~P1(f317(f317(f224(x77291),x77293),f2(x77291)))+P1(f317(f317(f224(x77291),f317(f317(f281(x77291),x77292),x77293)),f2(x77291)))+~P1(f317(f317(f224(x77291),f2(x77291)),x77292)) % 169.26/169.10 [7730]~P66(x77301)+~P1(f317(f317(f224(x77301),x77302),f2(x77301)))+P1(f317(f317(f224(x77301),f317(f317(f281(x77301),x77302),x77303)),f2(x77301)))+~P1(f317(f317(f224(x77301),f2(x77301)),x77303)) % 169.26/169.10 [7731]~P67(x77311)+~P1(f317(f317(f224(x77311),x77312),f2(x77311)))+P1(f317(f317(f224(x77311),f317(f317(f281(x77311),x77312),x77313)),f2(x77311)))+~P1(f317(f317(f225(x77311),f2(x77311)),x77313)) % 169.26/169.10 [7732]~P67(x77321)+~P1(f317(f317(f225(x77321),x77323),f2(x77321)))+P1(f317(f317(f224(x77321),f317(f317(f281(x77321),x77322),x77323)),f2(x77321)))+~P1(f317(f317(f224(x77321),f2(x77321)),x77322)) % 169.26/169.10 [7734]~P135(x77341)+~P1(f317(f317(f225(x77341),x77343),f2(x77341)))+P1(f317(f317(f225(x77341),f317(f317(f75(x77341),x77342),x77343)),f2(x77341)))+~P1(f317(f317(f225(x77341),f2(x77341)),x77342)) % 169.26/169.10 [7735]~P135(x77351)+~P1(f317(f317(f225(x77351),x77352),f2(x77351)))+P1(f317(f317(f225(x77351),f317(f317(f75(x77351),x77352),x77353)),f2(x77351)))+~P1(f317(f317(f225(x77351),f2(x77351)),x77353)) % 169.26/169.10 [7736]~P66(x77361)+~P1(f317(f317(f225(x77361),x77363),f2(x77361)))+P1(f317(f317(f225(x77361),f317(f317(f281(x77361),x77362),x77363)),f2(x77361)))+~P1(f317(f317(f225(x77361),f2(x77361)),x77362)) % 169.26/169.10 [7737]~P66(x77371)+~P1(f317(f317(f225(x77371),x77372),f2(x77371)))+P1(f317(f317(f225(x77371),f317(f317(f281(x77371),x77372),x77373)),f2(x77371)))+~P1(f317(f317(f225(x77371),f2(x77371)),x77373)) % 169.26/169.10 [7738]~P67(x77381)+~P1(f317(f317(f225(x77381),x77383),f2(x77381)))+P1(f317(f317(f225(x77381),f317(f317(f281(x77381),x77382),x77383)),f2(x77381)))+~P1(f317(f317(f225(x77381),f2(x77381)),x77382)) % 169.26/169.10 [7739]~P67(x77391)+~P1(f317(f317(f225(x77391),x77392),f2(x77391)))+P1(f317(f317(f225(x77391),f317(f317(f281(x77391),x77392),x77393)),f2(x77391)))+~P1(f317(f317(f225(x77391),f2(x77391)),x77393)) % 169.26/169.10 [7754]P147(x77541,x77542,x77543)+~P1(f317(x77541,x77543))+P1(f317(f317(f225(a1),x77542),f834(x77543,x77542,x77541)))+P1(f317(f317(f225(a1),f835(x77543,x77542,x77541)),x77542)) % 169.26/169.10 [7767]P148(x77671,x77672,x77673)+P1(f317(f317(f225(a1),x77672),f842(x77673,x77672,x77671)))+~P1(f317(x77671,f2(a1)))+P1(f317(f317(f225(a1),f843(x77673,x77672,x77671)),x77672)) % 169.26/169.10 [7819]P147(x78192,x78191,x78193)+E(x78191,f2(a1))+~P1(f317(x78192,f834(x78193,x78191,x78192)))+P1(f317(f317(f225(a1),f835(x78193,x78191,x78192)),x78191)) % 169.26/169.10 [7820]P148(x78202,x78201,x78203)+E(x78201,f2(a1))+~P1(f317(x78202,f846(x78203,x78201,x78202)))+P1(f317(f317(f225(a1),f843(x78203,x78201,x78202)),x78201)) % 169.26/169.10 [7830]P147(x78303,x78301,x78302)+~P1(f317(x78303,x78302))+E(f317(f317(f74(a1),f317(f317(f75(a1),x78301),f841(x78302,x78301,x78303))),f834(x78302,x78301,x78303)),x78302)+P1(f317(f317(f225(a1),f2(a1)),x78301)) % 169.26/169.10 [7845]P148(x78453,x78451,x78452)+E(f317(f317(f74(a1),f317(f317(f75(a1),x78451),f846(x78452,x78451,x78453))),f842(x78452,x78451,x78453)),x78452)+~P1(f317(x78453,f2(a1)))+P1(f317(f317(f225(a1),f2(a1)),x78451)) % 169.26/169.10 [7873]~P1(f317(x78731,x78733))+~P1(f317(f28(x78732),x78733))+P1(f317(f317(f319(x78732),f461(x78731,x78733,x78732)),f471(x78731,x78733,x78732)))+P1(f317(x78731,f178(f906(x78732,a894)))) % 169.26/169.10 [7885]P147(x78851,x78852,x78853)+~P1(f317(x78851,x78853))+~P1(f317(x78851,f834(x78853,x78852,x78851)))+P1(f317(f317(f225(a1),f835(x78853,x78852,x78851)),x78852)) % 169.26/169.10 [7891]P148(x78911,x78912,x78913)+~P1(f317(x78911,f846(x78913,x78912,x78911)))+~P1(f317(x78911,f2(a1)))+P1(f317(f317(f225(a1),f843(x78913,x78912,x78911)),x78912)) % 169.26/169.10 [7993]~P125(x79931)+~P1(f317(f317(f224(x79931),f317(f317(f75(x79931),x79933),x79932)),f2(x79931)))+P1(f317(f317(f224(x79931),x79932),f2(x79931)))+P1(f317(f317(f224(x79931),f2(x79931)),x79932)) % 169.26/169.10 [7994]~P125(x79941)+~P1(f317(f317(f224(x79941),f317(f317(f75(x79941),x79942),x79943)),f2(x79941)))+P1(f317(f317(f224(x79941),x79942),f2(x79941)))+P1(f317(f317(f224(x79941),f2(x79941)),x79942)) % 169.26/169.10 [7995]~P66(x79951)+~P1(f317(f317(f224(x79951),f317(f317(f281(x79951),x79953),x79952)),f2(x79951)))+P1(f317(f317(f224(x79951),x79952),f2(x79951)))+P1(f317(f317(f224(x79951),f2(x79951)),x79952)) % 169.26/169.10 [7996]~P66(x79961)+~P1(f317(f317(f224(x79961),f317(f317(f281(x79961),x79962),x79963)),f2(x79961)))+P1(f317(f317(f224(x79961),x79962),f2(x79961)))+P1(f317(f317(f224(x79961),f2(x79961)),x79962)) % 169.26/169.10 [7997]~P66(x79971)+~P1(f317(f317(f225(x79971),f317(f317(f281(x79971),x79973),x79972)),f2(x79971)))+P1(f317(f317(f225(x79971),x79972),f2(x79971)))+P1(f317(f317(f225(x79971),f2(x79971)),x79972)) % 169.26/169.10 [7998]~P66(x79981)+~P1(f317(f317(f225(x79981),f317(f317(f281(x79981),x79982),x79983)),f2(x79981)))+P1(f317(f317(f225(x79981),x79982),f2(x79981)))+P1(f317(f317(f225(x79981),f2(x79981)),x79982)) % 169.26/169.10 [8022]~P125(x80221)+~P1(f317(f317(f224(x80221),f317(f317(f75(x80221),x80222),x80223)),f2(x80221)))+P1(f317(f317(f224(x80221),f2(x80221)),x80222))+P1(f317(f317(f224(x80221),f2(x80221)),x80223)) % 169.26/169.10 [8023]~P66(x80231)+~P1(f317(f317(f224(x80231),f317(f317(f281(x80231),x80232),x80233)),f2(x80231)))+P1(f317(f317(f224(x80231),f2(x80231)),x80232))+P1(f317(f317(f224(x80231),f2(x80231)),x80233)) % 169.26/169.10 [8024]~P66(x80241)+~P1(f317(f317(f225(x80241),f317(f317(f281(x80241),x80242),x80243)),f2(x80241)))+P1(f317(f317(f225(x80241),f2(x80241)),x80242))+P1(f317(f317(f225(x80241),f2(x80241)),x80243)) % 169.26/169.10 [8046]P147(x80462,x80461,x80463)+E(x80461,f2(a1))+P1(f317(f317(f224(a1),f834(x80463,x80461,x80462)),f2(a1)))+P1(f317(f317(f225(a1),f835(x80463,x80461,x80462)),x80461)) % 169.26/169.10 [8047]P148(x80472,x80471,x80473)+E(x80471,f2(a1))+P1(f317(f317(f224(a1),f842(x80473,x80471,x80472)),f2(a1)))+P1(f317(f317(f225(a1),f843(x80473,x80471,x80472)),x80471)) % 169.26/169.10 [8054]~P110(x80541)+~P1(f317(f317(f225(x80541),x80542),f72(x80541)))+P1(f317(f317(f225(x80541),f317(f317(f234(x80541),x80542),f317(a102,x80543))),f72(x80541)))+~P1(f317(f317(f225(x80541),f2(x80541)),x80542)) % 169.26/169.10 [8107]~P4(x81071)+~E(x81073,f103(x81071))+~P16(x81071,f317(f158(x81071),x81073))+E(f317(f132(x81071,x81071,f317(f7(x81071,x81071,x81071),f223(x81071)),x81072),f317(f158(x81071),x81073)),x81072) % 169.26/169.10 [8110]P147(x81101,x81102,x81103)+~P1(f317(x81101,x81103))+P1(f317(f317(f224(a1),f834(x81103,x81102,x81101)),f2(a1)))+P1(f317(f317(f225(a1),f835(x81103,x81102,x81101)),x81102)) % 169.26/169.10 [8117]P148(x81171,x81172,x81173)+~P1(f317(x81171,f2(a1)))+P1(f317(f317(f224(a1),f842(x81173,x81172,x81171)),f2(a1)))+P1(f317(f317(f225(a1),f843(x81173,x81172,x81171)),x81172)) % 169.26/169.10 [8335]P147(x83353,x83351,x83352)+E(x83351,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83351),f841(x83352,x83351,x83353))),f834(x83352,x83351,x83353)),x83352)+P1(f317(f317(f225(a1),f835(x83352,x83351,x83353)),x83351)) % 169.26/169.10 [8336]P148(x83363,x83361,x83362)+E(x83361,f2(a1))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83361),f846(x83362,x83361,x83363))),f842(x83362,x83361,x83363)),x83362)+P1(f317(f317(f225(a1),f843(x83362,x83361,x83363)),x83361)) % 169.26/169.10 [8372]P147(x83723,x83721,x83722)+~P1(f317(x83723,x83722))+E(f317(f317(f74(a1),f317(f317(f75(a1),x83721),f841(x83722,x83721,x83723))),f834(x83722,x83721,x83723)),x83722)+P1(f317(f317(f225(a1),f835(x83722,x83721,x83723)),x83721)) % 169.26/169.10 [8373]~P76(x83731)+~P79(x83731)+~P42(x83733)+E(f317(f317(f9(a897,x83731),f317(f317(f8(a1,x83731,a897),x83732),f90(a1))),f317(f300(a1,a897,a95),x83733)),f317(f317(f9(a1,x83731),x83732),x83733)) % 169.26/169.10 [8374]~P76(x83741)+~P79(x83741)+~P42(x83743)+E(f317(f317(f6(a897,x83741),f317(f317(f8(a1,x83741,a897),x83742),f90(a1))),f317(f300(a1,a897,a95),x83743)),f317(f317(f6(a1,x83741),x83742),x83743)) % 169.26/169.10 [8383]P148(x83833,x83831,x83832)+E(f317(f317(f74(a1),f317(f317(f75(a1),x83831),f846(x83832,x83831,x83833))),f842(x83832,x83831,x83833)),x83832)+~P1(f317(x83833,f2(a1)))+P1(f317(f317(f225(a1),f843(x83832,x83831,x83833)),x83831)) % 169.26/169.10 [8405]~E(x84052,f2(a897))+~E(f317(f241(a897,a897),x84053),f2(a897))+~E(x84051,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x84053)),x84052)),f317(f246(a897,a897),x84053)))+P1(f317(f43(x84051,x84052),x84053)) % 169.26/169.10 [8462]P1(f317(x84621,x84622))+~P1(f317(f317(f319(x84623),f402(x84621,x84622,x84623)),f412(x84621,x84622,x84623)))+~P1(f317(f28(x84623),x84622))+~P1(f317(x84621,f178(f906(x84623,a894)))) % 169.26/169.10 [9086]P1(f317(x90861,x90862))+~P1(f317(f28(x90863),x90862))+~P1(f317(x90861,f317(f317(f299(x90863),f402(x90861,x90862,x90863)),f412(x90861,x90862,x90863))))+~P1(f317(x90861,f178(f906(x90863,a894)))) % 169.26/169.10 [9318]P1(f317(f317(f224(a1),x93181),f2(a1)))+~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x93183),x93181)),x93182)),f2(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x93182))+~P1(f317(f317(f225(a1),f2(a1)),x93183)) % 169.26/169.10 [5875]~P4(x58752)+E(x58751,f178(f906(x58752,a894)))+~P1(f317(f28(x58752),x58751))+E(f14(x58752,f317(f317(f299(x58752),x58753),x58751)),f317(f317(f228(x58752),x58753),f14(x58752,x58751))) % 169.26/169.10 [5876]~P4(x58762)+E(x58761,f178(f906(x58762,a894)))+~P1(f317(f28(x58762),x58761))+E(f15(x58762,f317(f317(f299(x58762),x58763),x58761)),f317(f317(f223(x58762),x58763),f15(x58762,x58761))) % 169.26/169.10 [5877]~P101(x58772)+E(x58771,f178(f906(x58772,a894)))+~P1(f317(f28(x58772),x58771))+E(f13(x58772,f317(f317(f299(x58772),x58773),x58771)),f317(f317(f91(x58772),x58773),f13(x58772,x58771))) % 169.26/169.10 [5878]~P101(x58782)+E(x58781,f178(f906(x58782,a894)))+~P1(f317(f28(x58782),x58781))+E(f10(x58782,f317(f317(f299(x58782),x58783),x58781)),f317(f317(f92(x58782),x58783),f10(x58782,x58781))) % 169.26/169.10 [6209]~P125(x62091)+~E(x62093,f2(x62091))+~E(x62092,f2(x62091))+E(f317(f317(f74(x62091),f317(f317(f75(x62091),x62092),x62092)),f317(f317(f75(x62091),x62093),x62093)),f2(x62091)) % 169.26/169.10 [6283]~P99(x62832)+E(x62831,f178(f906(x62832,a894)))+~P1(f317(f28(x62832),x62831))+E(f317(f57(x62832,f75(x62832)),f317(f317(f299(x62832),x62833),x62831)),f317(f317(f75(x62832),x62833),f317(f57(x62832,f75(x62832)),x62831))) % 169.26/169.10 [6414]~P4(x64142)+E(x64141,f178(f906(x64142,a894)))+~P1(f317(f28(x64142),x64141))+E(f11(x64142,f228(x64142),f317(f317(f299(x64142),x64143),x64141)),f317(f317(f228(x64142),x64143),f11(x64142,f228(x64142),x64141))) % 169.26/169.10 [6415]~P4(x64152)+E(x64151,f178(f906(x64152,a894)))+~P1(f317(f28(x64152),x64151))+E(f12(x64152,f223(x64152),f317(f317(f299(x64152),x64153),x64151)),f317(f317(f223(x64152),x64153),f12(x64152,f223(x64152),x64151))) % 169.26/169.10 [6936]~P74(x69361)+~P1(f317(f28(x69361),x69363))+E(f317(f57(x69361,f75(x69361)),f317(f317(f299(x69361),x69362),x69363)),f317(f317(f58(x69361,x69361,f75(x69361)),x69362),x69363))+P1(f317(f317(f319(x69361),x69362),x69363)) % 169.26/169.10 [7019]~E(f317(f317(f74(a1),x70192),f317(f317(f75(a1),x70193),x70191)),x70193)+~P1(f317(f317(f225(a1),f2(a1)),x70193))+P1(f317(f317(f224(a1),f72(a1)),x70191))+~P1(f317(f317(f225(a1),x70192),x70193)) % 169.26/169.10 [7048]~E(f317(f317(f74(a1),x70482),f317(f317(f75(a1),x70483),x70481)),x70483)+P1(f317(f317(f224(a1),x70481),f72(a1)))+~P1(f317(f317(f224(a1),f2(a1)),x70482))+~P1(f317(f317(f225(a1),f2(a1)),x70483)) % 169.26/169.10 [7066]E(x70661,f2(a897))+~P1(f317(f43(x70663,x70661),x70662))+~P1(f317(f317(f225(a897),f2(a897)),x70661))+P1(f317(f317(f225(a897),f317(f246(a897,a897),x70662)),x70661)) % 169.26/169.10 [7097]~P140(x70971)+~P1(f317(f317(f224(x70971),x70972),f2(x70971)))+~P1(f317(f317(f224(x70971),x70973),f2(x70971)))+E(f317(f317(f75(x70971),f317(f70(x70971),x70972)),f317(f70(x70971),x70973)),f317(f70(x70971),f317(f317(f75(x70971),x70972),x70973))) % 169.26/169.10 [7144]~P140(x71441)+~P1(f317(f317(f224(x71441),x71442),f2(x71441)))+E(f317(f317(f75(x71441),f317(f70(x71441),x71442)),f317(f70(x71441),x71443)),f317(f70(x71441),f317(f317(f75(x71441),x71442),x71443)))+~P1(f317(f317(f224(x71441),f2(x71441)),x71443)) % 169.26/169.10 [7145]~P140(x71451)+~P1(f317(f317(f224(x71451),x71453),f2(x71451)))+E(f317(f317(f75(x71451),f317(f70(x71451),x71452)),f317(f70(x71451),x71453)),f317(f70(x71451),f317(f317(f75(x71451),x71452),x71453)))+~P1(f317(f317(f224(x71451),f2(x71451)),x71452)) % 169.26/169.10 [7201]~P140(x72011)+E(f317(f317(f75(x72011),f317(f70(x72011),x72012)),f317(f70(x72011),x72013)),f317(f70(x72011),f317(f317(f75(x72011),x72012),x72013)))+~P1(f317(f317(f224(x72011),f2(x72011)),x72012))+~P1(f317(f317(f224(x72011),f2(x72011)),x72013)) % 169.26/169.10 [7218]~P137(x72181)+~P1(f317(f317(f224(x72181),x72183),f2(x72181)))+~P1(f317(f317(f224(x72181),x72182),f2(x72181)))+P1(f317(f317(f224(x72181),f2(x72181)),f317(f317(f75(x72181),x72182),x72183))) % 169.26/169.10 [7219]~P125(x72191)+~P1(f317(f317(f224(x72191),x72193),f2(x72191)))+~P1(f317(f317(f224(x72191),x72192),f2(x72191)))+P1(f317(f317(f224(x72191),f2(x72191)),f317(f317(f75(x72191),x72192),x72193))) % 169.26/169.10 [7220]~P66(x72201)+~P1(f317(f317(f224(x72201),x72203),f2(x72201)))+~P1(f317(f317(f224(x72201),x72202),f2(x72201)))+P1(f317(f317(f224(x72201),f2(x72201)),f317(f317(f281(x72201),x72202),x72203))) % 169.26/169.10 [7221]~P67(x72211)+~P1(f317(f317(f225(x72211),x72213),f2(x72211)))+~P1(f317(f317(f224(x72211),x72212),f2(x72211)))+P1(f317(f317(f224(x72211),f2(x72211)),f317(f317(f281(x72211),x72212),x72213))) % 169.26/169.10 [7222]~P125(x72221)+~P1(f317(f317(f225(x72221),x72223),f2(x72221)))+~P1(f317(f317(f225(x72221),x72222),f2(x72221)))+P1(f317(f317(f225(x72221),f2(x72221)),f317(f317(f75(x72221),x72222),x72223))) % 169.26/169.10 [7223]~P66(x72231)+~P1(f317(f317(f225(x72231),x72233),f2(x72231)))+~P1(f317(f317(f225(x72231),x72232),f2(x72231)))+P1(f317(f317(f225(x72231),f2(x72231)),f317(f317(f281(x72231),x72232),x72233))) % 169.26/169.10 [7224]~P67(x72241)+~P1(f317(f317(f225(x72241),x72243),f2(x72241)))+~P1(f317(f317(f225(x72241),x72242),f2(x72241)))+P1(f317(f317(f225(x72241),f2(x72241)),f317(f317(f281(x72241),x72242),x72243))) % 169.26/169.10 [7225]~P110(x72251)+~P1(f317(f317(f225(a897),f2(a897)),x72253))+~P1(f317(f317(f225(x72251),f72(x72251)),x72252))+P1(f317(f317(f225(x72251),f72(x72251)),f317(f317(f234(x72251),x72252),x72253))) % 169.26/169.10 [7323]~P136(x73231)+~P1(f317(f317(f224(x73231),f2(x73231)),x73233))+~P1(f317(f317(f224(x73231),f2(x73231)),x73232))+P1(f317(f317(f224(x73231),f2(x73231)),f317(f317(f75(x73231),x73232),x73233))) % 169.26/169.10 [7324]~P137(x73241)+~P1(f317(f317(f224(x73241),f2(x73241)),x73243))+~P1(f317(f317(f224(x73241),f2(x73241)),x73242))+P1(f317(f317(f224(x73241),f2(x73241)),f317(f317(f75(x73241),x73242),x73243))) % 169.26/169.10 [7325]~P125(x73251)+~P1(f317(f317(f224(x73251),f2(x73251)),x73253))+~P1(f317(f317(f224(x73251),f2(x73251)),x73252))+P1(f317(f317(f224(x73251),f2(x73251)),f317(f317(f75(x73251),x73252),x73253))) % 169.26/169.10 [7326]~P66(x73261)+~P1(f317(f317(f224(x73261),f2(x73261)),x73263))+~P1(f317(f317(f224(x73261),f2(x73261)),x73262))+P1(f317(f317(f224(x73261),f2(x73261)),f317(f317(f281(x73261),x73262),x73263))) % 169.26/169.10 [7327]~P67(x73271)+~P1(f317(f317(f225(x73271),f2(x73271)),x73273))+~P1(f317(f317(f224(x73271),f2(x73271)),x73272))+P1(f317(f317(f224(x73271),f2(x73271)),f317(f317(f281(x73271),x73272),x73273))) % 169.26/169.10 [7328]~P110(x73281)+~P1(f317(f317(f225(x73281),f72(x73281)),x73283))+~P1(f317(f317(f225(x73281),f72(x73281)),x73282))+P1(f317(f317(f225(x73281),f72(x73281)),f317(f317(f75(x73281),x73282),x73283))) % 169.26/169.10 [7331]~P86(x73311)+~P1(f317(f317(f225(x73311),f2(x73311)),x73313))+~P1(f317(f317(f225(x73311),f2(x73311)),x73312))+P1(f317(f317(f225(x73311),f2(x73311)),f317(f317(f74(x73311),x73312),x73313))) % 169.26/169.10 [7332]~P135(x73321)+~P1(f317(f317(f225(x73321),f2(x73321)),x73323))+~P1(f317(f317(f225(x73321),f2(x73321)),x73322))+P1(f317(f317(f225(x73321),f2(x73321)),f317(f317(f75(x73321),x73322),x73323))) % 169.26/169.10 [7333]~P66(x73331)+~P1(f317(f317(f225(x73331),f2(x73331)),x73333))+~P1(f317(f317(f225(x73331),f2(x73331)),x73332))+P1(f317(f317(f225(x73331),f2(x73331)),f317(f317(f281(x73331),x73332),x73333))) % 169.26/169.10 [7334]~P67(x73341)+~P1(f317(f317(f225(x73341),f2(x73341)),x73343))+~P1(f317(f317(f225(x73341),f2(x73341)),x73342))+P1(f317(f317(f225(x73341),f2(x73341)),f317(f317(f281(x73341),x73342),x73343))) % 169.26/169.10 [7413]~P4(x74131)+~P1(f317(f28(x74131),x74133))+E(f14(x74131,f317(f317(f299(x74131),x74132),x74133)),x74132)+~E(f317(f317(f23(f906(x74131,a894)),x74133),f317(f317(f299(x74131),x74132),f178(f906(x74131,a894)))),f178(f906(x74131,a894))) % 169.26/169.10 [7414]~P4(x74141)+~P1(f317(f28(x74141),x74143))+E(f15(x74141,f317(f317(f299(x74141),x74142),x74143)),x74142)+~E(f317(f317(f23(f906(x74141,a894)),x74143),f317(f317(f299(x74141),x74142),f178(f906(x74141,a894)))),f178(f906(x74141,a894))) % 169.26/169.10 [7415]~P101(x74151)+~P1(f317(f28(x74151),x74153))+E(f13(x74151,f317(f317(f299(x74151),x74152),x74153)),x74152)+~E(f317(f317(f23(f906(x74151,a894)),x74153),f317(f317(f299(x74151),x74152),f178(f906(x74151,a894)))),f178(f906(x74151,a894))) % 169.26/169.10 [7416]~P101(x74161)+~P1(f317(f28(x74161),x74163))+E(f10(x74161,f317(f317(f299(x74161),x74162),x74163)),x74162)+~E(f317(f317(f23(f906(x74161,a894)),x74163),f317(f317(f299(x74161),x74162),f178(f906(x74161,a894)))),f178(f906(x74161,a894))) % 169.26/169.10 [7418]~P125(x74181)+P1(f317(f317(f224(x74181),x74182),f2(x74181)))+P1(f317(f317(f224(x74181),f2(x74181)),x74183))+~P1(f317(f317(f224(x74181),f2(x74181)),f317(f317(f75(x74181),x74183),x74182))) % 169.26/169.10 [7419]~P125(x74191)+P1(f317(f317(f224(x74191),x74192),f2(x74191)))+P1(f317(f317(f224(x74191),f2(x74191)),x74193))+~P1(f317(f317(f224(x74191),f2(x74191)),f317(f317(f75(x74191),x74192),x74193))) % 169.26/169.10 [7420]~P66(x74201)+P1(f317(f317(f224(x74201),x74202),f2(x74201)))+P1(f317(f317(f224(x74201),f2(x74201)),x74203))+~P1(f317(f317(f224(x74201),f2(x74201)),f317(f317(f281(x74201),x74203),x74202))) % 169.26/169.10 [7421]~P66(x74211)+P1(f317(f317(f224(x74211),x74212),f2(x74211)))+P1(f317(f317(f224(x74211),f2(x74211)),x74213))+~P1(f317(f317(f224(x74211),f2(x74211)),f317(f317(f281(x74211),x74212),x74213))) % 169.26/169.10 [7422]~P125(x74221)+P1(f317(f317(f224(x74221),x74222),f2(x74221)))+P1(f317(f317(f224(x74221),f2(x74221)),x74222))+~P1(f317(f317(f224(x74221),f2(x74221)),f317(f317(f75(x74221),x74223),x74222))) % 169.26/169.10 [7423]~P125(x74231)+P1(f317(f317(f224(x74231),x74232),f2(x74231)))+P1(f317(f317(f224(x74231),f2(x74231)),x74232))+~P1(f317(f317(f224(x74231),f2(x74231)),f317(f317(f75(x74231),x74232),x74233))) % 169.26/169.10 [7424]~P66(x74241)+P1(f317(f317(f224(x74241),x74242),f2(x74241)))+P1(f317(f317(f224(x74241),f2(x74241)),x74242))+~P1(f317(f317(f224(x74241),f2(x74241)),f317(f317(f281(x74241),x74243),x74242))) % 169.26/169.10 [7425]~P66(x74251)+P1(f317(f317(f224(x74251),x74252),f2(x74251)))+P1(f317(f317(f224(x74251),f2(x74251)),x74252))+~P1(f317(f317(f224(x74251),f2(x74251)),f317(f317(f281(x74251),x74252),x74253))) % 169.26/169.10 [7426]~P66(x74261)+P1(f317(f317(f225(x74261),x74262),f2(x74261)))+P1(f317(f317(f225(x74261),f2(x74261)),x74263))+~P1(f317(f317(f225(x74261),f2(x74261)),f317(f317(f281(x74261),x74263),x74262))) % 169.26/169.10 [7427]~P66(x74271)+P1(f317(f317(f225(x74271),x74272),f2(x74271)))+P1(f317(f317(f225(x74271),f2(x74271)),x74273))+~P1(f317(f317(f225(x74271),f2(x74271)),f317(f317(f281(x74271),x74272),x74273))) % 169.26/169.10 [7428]~P66(x74281)+P1(f317(f317(f225(x74281),x74282),f2(x74281)))+P1(f317(f317(f225(x74281),f2(x74281)),x74282))+~P1(f317(f317(f225(x74281),f2(x74281)),f317(f317(f281(x74281),x74283),x74282))) % 169.26/169.10 [7429]~P66(x74291)+P1(f317(f317(f225(x74291),x74292),f2(x74291)))+P1(f317(f317(f225(x74291),f2(x74291)),x74292))+~P1(f317(f317(f225(x74291),f2(x74291)),f317(f317(f281(x74291),x74292),x74293))) % 169.26/169.10 [7502]~P1(f317(f317(f277(a897),x75021),x75023))+P1(f317(f317(f277(a897),x75021),x75022))+~P1(f317(f317(f224(a897),x75022),x75023))+~P1(f317(f317(f277(a897),x75021),f317(f317(f23(a897),x75023),x75022))) % 169.26/169.10 [7503]~P1(f317(f317(f277(a897),x75031),x75033))+P1(f317(f317(f277(a897),x75031),x75032))+~P1(f317(f317(f224(a897),x75033),x75032))+~P1(f317(f317(f277(a897),x75031),f317(f317(f23(a897),x75032),x75033))) % 169.26/169.10 [7518]~E(f317(f317(f92(f906(x75181,a894)),f317(f162(x75181),x75182)),f317(f162(x75181),x75183)),f178(f906(x75181,a894)))+~P1(f317(f127(x75181),x75183))+~P1(f317(f127(x75181),x75182))+P1(f317(f127(x75181),f317(f317(f124(x75181),x75182),x75183))) % 169.26/169.10 [7519]~P4(x75191)+~P1(f317(f28(x75191),x75193))+E(f11(x75191,f228(x75191),f317(f317(f299(x75191),x75192),x75193)),x75192)+~E(f317(f317(f23(f906(x75191,a894)),x75193),f317(f317(f299(x75191),x75192),f178(f906(x75191,a894)))),f178(f906(x75191,a894))) % 169.26/169.10 [7520]~P4(x75201)+~P1(f317(f28(x75201),x75203))+E(f12(x75201,f223(x75201),f317(f317(f299(x75201),x75202),x75203)),x75202)+~E(f317(f317(f23(f906(x75201,a894)),x75203),f317(f317(f299(x75201),x75202),f178(f906(x75201,a894)))),f178(f906(x75201,a894))) % 169.26/169.10 [7533]~P89(x75331)+~P1(f317(f317(f224(x75331),x75332),x75333))+~P1(f317(f317(f224(x75331),f317(f73(x75331),x75332)),x75333))+P1(f317(f317(f224(x75331),f317(f70(x75331),x75332)),x75333)) % 169.26/169.10 [7534]~P111(x75341)+~P1(f317(f317(f225(x75341),x75342),x75343))+~P1(f317(f317(f225(x75341),f317(f73(x75341),x75342)),x75343))+P1(f317(f317(f225(x75341),f317(f70(x75341),x75342)),x75343)) % 169.26/169.10 [7600]~P135(x76001)+P1(f317(f317(f225(x76001),f2(x76001)),x76002))+~P1(f317(f317(f225(x76001),f2(x76001)),x76003))+~P1(f317(f317(f225(x76001),f2(x76001)),f317(f317(f75(x76001),x76003),x76002))) % 169.26/169.10 [7601]~P135(x76011)+P1(f317(f317(f225(x76011),f2(x76011)),x76012))+~P1(f317(f317(f225(x76011),f2(x76011)),x76013))+~P1(f317(f317(f225(x76011),f2(x76011)),f317(f317(f75(x76011),x76012),x76013))) % 169.26/169.10 [7905]E(x79051,x79052)+~P1(f317(f28(x79053),x79051))+~P1(f317(f317(f224(a897),f317(f29(x79053),x79051)),f317(f29(x79053),x79052)))+~P1(f317(f317(f224(f906(x79053,a894)),x79052),x79051)) % 169.26/169.10 [8051]~P1(f317(f317(f225(a1),x80511),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x80512))+~P1(f317(f317(f224(a1),x80512),x80513))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x80511),x80512)),f317(f317(f30(a1),x80511),x80513))) % 169.26/169.10 [8061]~P1(f317(f317(f224(a1),f2(a1)),x80611))+~P1(f317(f317(f225(a1),f2(a1)),x80613))+~P1(f317(f317(f224(a1),x80613),x80612))+P1(f317(f317(f224(a1),f317(f317(f30(a1),x80611),x80612)),f317(f317(f30(a1),x80611),x80613))) % 169.26/169.10 [8195]E(f317(x81951,f466(x81952,x81951,x81953)),x81952)+~P1(f317(f317(f224(a1),x81952),f317(x81951,x81953)))+P1(f317(f317(f225(a897),f467(x81952,x81951,x81953)),x81953))+~P1(f317(f317(f224(a1),f317(x81951,f2(a897))),x81952)) % 169.26/169.10 [8196]E(f317(x81961,f468(x81962,x81961,x81963)),x81962)+~P1(f317(f317(f224(a1),x81962),f317(x81961,x81963)))+P1(f317(f317(f225(a897),f469(x81962,x81961,x81963)),x81963))+~P1(f317(f317(f224(a1),f317(x81961,f2(a897))),x81962)) % 169.26/169.10 [8298]~P1(f317(f28(x82981),x82983))+~P1(f317(f317(f225(a897),f317(f29(x82981),x82982)),f317(f29(x82981),x82983)))+~P1(f317(f317(f224(f906(x82981,a894)),x82982),x82983))+P1(f317(f317(f225(f906(x82981,a894)),x82982),x82983)) % 169.26/169.10 [8325]E(f317(f317(f74(a1),f367(x83253,x83251,x83252)),f368(x83253,x83251,x83252)),x83251)+E(f317(f317(f23(a1),x83251),x83252),x83251)+~P1(f317(f317(f225(a1),f2(a1)),x83252))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x83251),f72(a1))),x83253)) % 169.26/169.10 [8326]E(f317(f317(f23(a1),f370(x83263,x83261,x83262)),f371(x83263,x83261,x83262)),x83261)+E(f317(f317(f74(a1),x83261),x83262),x83261)+~P1(f317(f317(f225(a1),f2(a1)),x83262))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x83261),f72(a1))),x83263)) % 169.26/169.10 [8378]~P1(f317(f317(f224(a897),x83783),x83781))+P1(f317(f317(f224(a897),x83781),x83782))+~P1(f317(f317(f224(a897),x83783),x83782))+~P1(f317(f317(f224(a897),f317(f317(f23(a897),x83781),x83783)),f317(f317(f23(a897),x83782),x83783))) % 169.26/169.10 [8379]~P1(f317(f317(f224(a897),x83793),x83791))+P1(f317(f317(f225(a897),x83791),x83792))+~P1(f317(f317(f224(a897),x83793),x83792))+~P1(f317(f317(f225(a897),f317(f317(f23(a897),x83791),x83793)),f317(f317(f23(a897),x83792),x83793))) % 169.26/169.10 [8398]~P4(x83982)+E(x83981,f103(x83982))+~P16(x83982,f317(f158(x83982),x83981))+E(f317(f132(x83982,x83982,f317(f7(x83982,x83982,x83982),f223(x83982)),x83983),f317(f158(x83982),x83981)),f317(f317(f223(x83982),f317(f317(f154(x83982),x83981),f2(a897))),x83983)) % 169.26/169.10 [8467]E(f317(f317(f23(a1),x84671),x84672),x84671)+~P1(f317(f317(f225(a1),f2(a1)),x84672))+P1(f317(f317(f319(a1),f367(x84673,x84671,x84672)),x84673))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x84671),f72(a1))),x84673)) % 169.26/169.10 [8468]E(f317(f317(f74(a1),x84681),x84682),x84681)+~P1(f317(f317(f225(a1),f2(a1)),x84682))+P1(f317(f317(f319(a1),f370(x84683,x84681,x84682)),x84683))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x84681),f72(a1))),x84683)) % 169.26/169.10 [8540]~P1(f317(f317(f224(a1),x85401),f317(x85402,x85403)))+P1(f317(f317(f225(a897),f467(x85401,x85402,x85403)),x85403))+P1(f317(f317(f224(a897),f466(x85401,x85402,x85403)),x85403))+~P1(f317(f317(f224(a1),f317(x85402,f2(a897))),x85401)) % 169.26/169.10 [8541]~P1(f317(f317(f224(a1),x85411),f317(x85412,x85413)))+P1(f317(f317(f225(a897),f469(x85411,x85412,x85413)),x85413))+P1(f317(f317(f224(a897),f468(x85411,x85412,x85413)),x85413))+~P1(f317(f317(f224(a1),f317(x85412,f2(a897))),x85411)) % 169.26/169.10 [8613]E(f317(f317(f23(a1),x86131),x86132),x86131)+~P1(f317(f317(f225(a1),f2(a1)),x86132))+P1(f317(f317(f319(a1),f368(x86133,x86131,x86132)),f293(a1,f72(a1),x86132)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x86131),f72(a1))),x86133)) % 169.26/169.10 [8614]E(f317(f317(f74(a1),x86141),x86142),x86141)+~P1(f317(f317(f225(a1),f2(a1)),x86142))+P1(f317(f317(f319(a1),f371(x86143,x86141,x86142)),f293(a1,f72(a1),x86142)))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x86141),f72(a1))),x86143)) % 169.26/169.10 [8747]~P110(x87471)+~P1(f317(f317(f225(x87471),x87472),f72(x87471)))+~P1(f317(f317(f225(x87471),f2(x87471)),x87472))+P1(f317(f317(f225(x87471),f317(f317(f75(x87471),x87472),f317(f317(f234(x87471),x87472),x87473))),f317(f317(f234(x87471),x87472),x87473))) % 169.26/169.10 [8840]~P1(f317(x88401,x88402))+P1(f317(x88401,f2(a897)))+~P1(f317(f317(f225(a897),x88402),x88403))+~P1(f317(x88401,f40(a897,f317(a102,f540(x88402,x88401,x88403)),x88403))) % 169.26/169.10 [8992]E(f431(x89921,x89922,x89923),f2(a897))+P1(f317(f317(x89921,x89923),x89922))+P1(f317(f317(x89921,f431(x89921,x89922,x89923)),f40(a897,f429(x89921,x89922,x89923),f431(x89921,x89922,x89923))))+~P1(f317(f305(f905(a897,a897),a209),f317(f317(f242(a897,a897),x89923),x89922))) % 169.26/169.10 [9028]~P27(x90281,x90281,x90282,x90283)+E(f317(f300(x90281,x90281,x90282),x90283),x90283)+~P1(f317(f28(x90281),x90283))+~P1(f317(f317(f224(f906(x90281,a894)),f317(f300(x90281,x90281,x90282),x90283)),x90283)) % 169.26/169.10 [9244]P1(f317(f317(x92441,x92442),x92443))+P1(f317(f317(f225(a1),f752(x92441,x92443,x92442)),f753(x92441,x92443,x92442)))+P1(f317(f317(x92441,f752(x92441,x92443,x92442)),f317(f317(f74(a1),f753(x92441,x92443,x92442)),f72(a1))))+~P1(f317(f305(f905(a1,a1),a123),f317(f317(f242(a1,a1),x92442),x92443))) % 169.26/169.10 [9261]P1(f317(f317(x92611,x92612),x92613))+~P1(f317(f317(f225(a1),f890(x92611,x92613,x92612)),f2(a1)))+P1(f317(f317(x92611,f317(f73(a1),f889(x92611,x92613,x92612))),f317(f73(a1),f890(x92611,x92613,x92612))))+~P1(f317(f305(f905(a1,a1),a211),f317(f317(f242(a1,a1),x92612),x92613))) % 169.26/169.10 [9454]P1(f317(f317(x94541,x94542),x94543))+P1(f317(f317(x94541,f317(f317(f74(a1),f654(x94541,x94543,x94542)),f72(a1))),f656(x94541,x94543,x94542)))+~P1(f317(f317(f224(a1),f654(x94541,x94543,x94542)),f656(x94541,x94543,x94542)))+~P1(f317(f305(f905(a1,a1),a172),f317(f317(f242(a1,a1),x94542),x94543))) % 169.26/169.10 [9898]~P63(x98982)+~P63(x98981)+~P1(f317(f51(f905(x98981,x98982)),x98983))+P1(f317(f51(x98981),f317(f317(f8(f906(x98982,a894),a894,x98981),f51(x98982)),f317(f317(f8(f906(x98982,f905(x98981,x98982)),f906(x98982,a894),x98981),f317(f8(f905(x98981,x98982),a894,x98982),x98983)),f242(x98981,x98982))))) % 169.26/169.10 [9899]~P63(x98992)+~P63(x98991)+~P1(f317(f52(f905(x98991,x98992)),x98993))+P1(f317(f52(x98991),f317(f317(f8(f906(x98992,a894),a894,x98991),f52(x98992)),f317(f317(f8(f906(x98992,f905(x98991,x98992)),f906(x98992,a894),x98991),f317(f8(f905(x98991,x98992),a894,x98992),x98993)),f242(x98991,x98992))))) % 169.26/169.10 [9993]~P63(x99932)+~P63(x99931)+P1(f317(f51(f905(x99931,x99932)),x99933))+~P1(f317(f51(x99931),f317(f317(f8(f906(x99932,a894),a894,x99931),f51(x99932)),f317(f317(f8(f906(x99932,f905(x99931,x99932)),f906(x99932,a894),x99931),f317(f8(f905(x99931,x99932),a894,x99932),x99933)),f242(x99931,x99932))))) % 169.26/169.10 [9994]~P63(x99942)+~P63(x99941)+P1(f317(f52(f905(x99941,x99942)),x99943))+~P1(f317(f52(x99941),f317(f317(f8(f906(x99942,a894),a894,x99941),f52(x99942)),f317(f317(f8(f906(x99942,f905(x99941,x99942)),f906(x99942,a894),x99941),f317(f8(f905(x99941,x99942),a894,x99942),x99943)),f242(x99941,x99942))))) % 169.26/169.10 [10167]E(f317(x101671,f466(x101672,x101671,x101673)),x101672)+~P1(f317(f317(f224(a1),x101672),f317(x101671,x101673)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101671,f317(f317(f74(a897),f467(x101672,x101671,x101673)),f72(a897)))),f317(x101671,f467(x101672,x101671,x101673))))),f72(a1)))+~P1(f317(f317(f224(a1),f317(x101671,f2(a897))),x101672)) % 169.26/169.10 [10168]E(f317(x101681,f468(x101682,x101681,x101683)),x101682)+~P1(f317(f317(f224(a1),x101682),f317(x101681,x101683)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101681,f317(f317(f74(a897),f469(x101682,x101681,x101683)),f72(a897)))),f317(x101681,f469(x101682,x101681,x101683))))),f72(a1)))+~P1(f317(f317(f224(a1),f317(x101681,f2(a897))),x101682)) % 169.26/169.10 [10171]~P1(f317(f317(f224(a1),x101711),f317(x101712,x101713)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101712,f317(f317(f74(a897),f467(x101711,x101712,x101713)),f72(a897)))),f317(x101712,f467(x101711,x101712,x101713))))),f72(a1)))+P1(f317(f317(f224(a897),f466(x101711,x101712,x101713)),x101713))+~P1(f317(f317(f224(a1),f317(x101712,f2(a897))),x101711)) % 169.26/169.10 [10172]~P1(f317(f317(f224(a1),x101721),f317(x101722,x101723)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x101722,f317(f317(f74(a897),f469(x101721,x101722,x101723)),f72(a897)))),f317(x101722,f469(x101721,x101722,x101723))))),f72(a1)))+P1(f317(f317(f224(a897),f468(x101721,x101722,x101723)),x101723))+~P1(f317(f317(f224(a1),f317(x101722,f2(a897))),x101721)) % 169.26/169.10 [10229]E(x102291,x102292)+~E(f317(f132(f898(x102293),f898(x102293),f124(x102293),f103(x102293)),x102291),f317(f132(f898(x102293),f898(x102293),f124(x102293),f103(x102293)),x102292))+~E(f317(f179(f898(f898(x102293))),x102291),f317(f179(f898(f898(x102293))),x102292))+~P1(f317(f317(f247(f898(x102293),f898(x102293),a894),f317(f317(f7(f898(x102293),f906(f898(x102293),a897),f906(f898(x102293),a894)),f317(f317(f8(f906(a897,a894),f906(f906(f898(x102293),a897),f906(f898(x102293),a894)),f898(x102293)),f8(a897,a894,f898(x102293))),f317(f317(f8(a897,f906(a897,a894),f898(x102293)),a314),f179(f898(x102293))))),f179(f898(x102293)))),f682(x102291,x102292,x102293))) % 169.26/169.10 [10230]E(x102301,x102302)+~E(f317(f132(f898(x102303),f898(x102303),f124(x102303),f103(x102303)),x102301),f317(f132(f898(x102303),f898(x102303),f124(x102303),f103(x102303)),x102302))+~E(f317(f179(f898(f898(x102303))),x102301),f317(f179(f898(f898(x102303))),x102302))+~P1(f317(f317(f247(f898(x102303),f898(x102303),a894),f317(f317(f7(f898(x102303),f906(f898(x102303),a897),f906(f898(x102303),a894)),f317(f317(f8(f906(a897,a894),f906(f906(f898(x102303),a897),f906(f898(x102303),a894)),f898(x102303)),f8(a897,a894,f898(x102303))),f317(f317(f8(a897,f906(a897,a894),f898(x102303)),a314),f179(f898(x102303))))),f179(f898(x102303)))),f683(x102302,x102301,x102303))) % 169.26/169.10 [6924]~E(f72(a897),f2(a897))+~P1(f317(f28(x69241),x69243))+~P1(f317(f28(x69241),x69242))+E(f317(f317(f74(a897),f317(f29(x69241),x69242)),f317(f29(x69241),x69243)),f317(f29(x69241),f317(f317(f91(f906(x69241,a894)),x69242),x69243))) % 169.26/169.10 [7341]~P4(x73411)+~P1(f317(f28(x73411),x73412))+~P1(f317(f317(f319(x73411),x73413),x73412))+P1(f317(f317(f224(x73411),f317(f57(x73411,f228(x73411)),x73412)),x73413)) % 169.26/169.10 [7342]~P106(x73421)+~P1(f317(f28(x73421),x73422))+~P1(f317(f317(f319(x73421),x73423),x73422))+P1(f317(f317(f224(x73421),f317(f57(x73421,f92(x73421)),x73422)),x73423)) % 169.26/169.10 [7594]~P1(f317(f28(x75941),x75943))+~P1(f317(f28(x75941),x75942))+~E(f317(f317(f92(f906(x75941,a894)),x75942),x75943),f178(f906(x75941,a894)))+E(f317(f317(f74(a897),f317(f29(x75941),x75942)),f317(f29(x75941),x75943)),f317(f29(x75941),f317(f317(f91(f906(x75941,a894)),x75942),x75943))) % 169.26/169.10 [8384]~P39(x83841,x83843)+~P39(x83841,x83842)+~E(f317(f317(f92(f906(x83841,a894)),f317(f254(x83841,x83841),x83842)),f317(f274(x83841,x83841),x83843)),f178(f906(x83841,a894)))+P39(x83841,f317(f317(f91(f906(f905(x83841,x83841),a894)),x83842),x83843)) % 169.26/169.10 [8479]E(x84791,f317(f317(f30(a897),x84792),x84793))+~P1(f317(f317(f225(a897),f2(a897)),x84793))+~P1(f317(f317(f225(a897),x84792),f317(f317(f75(a897),x84793),f317(a102,x84791))))+~P1(f317(f317(f224(a897),f317(f317(f75(a897),x84793),x84791)),x84792)) % 169.26/169.10 [8611]~P1(f317(f28(x86111),x86112))+~P1(f317(f28(x86111),x86113))+E(f317(f317(f74(a897),f317(f29(x86111),x86112)),f317(f29(x86111),x86113)),f317(f29(x86111),f317(f317(f91(f906(x86111,a894)),x86112),x86113)))+P1(f317(f317(f319(x86111),f403(x86113,x86112,x86111)),f317(f317(f92(f906(x86111,a894)),x86112),x86113))) % 169.26/169.10 [9004]~P125(x90042)+~E(x90041,f2(x90042))+~E(x90043,f2(x90042))+~P1(f317(f317(f225(x90042),f2(x90042)),f317(f317(f74(x90042),f317(f317(f75(x90042),x90043),x90043)),f317(f317(f75(x90042),x90041),x90041)))) % 169.26/169.10 [9535]~P39(x95351,x95353)+~P39(x95351,x95352)+P39(x95351,f317(f317(f91(f906(f905(x95351,x95351),a894)),x95352),x95353))+~P1(f317(f317(f224(f906(f905(x95351,x95351),a894)),f317(f317(f279(x95351,x95351,x95351),x95352),x95353)),x95352)) % 169.26/169.10 [9673]~P1(f317(x96731,x96733))+~P1(f317(f28(x96732),x96733))+P1(f317(x96731,f178(f906(x96732,a894))))+~P1(f317(x96731,f317(f317(f23(f906(x96732,a894)),f471(x96731,x96733,x96732)),f317(f317(f299(x96732),f461(x96731,x96733,x96732)),f178(f906(x96732,a894)))))) % 169.26/169.10 [8787]~P1(f317(f317(f225(a1),f2(a1)),x87873))+P1(f317(f317(f224(a1),f2(a1)),x87871))+~P1(f317(f317(f225(a1),x87872),x87873))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x87873),x87871)),x87872))) % 169.26/169.10 [8811]~P4(x88111)+~P1(f317(f28(x88111),x88112))+E(f317(f317(f23(f906(x88111,a894)),x88112),f317(f317(f299(x88111),x88113),f178(f906(x88111,a894)))),f178(f906(x88111,a894)))+E(f317(f317(f228(x88111),x88113),f14(x88111,f317(f317(f23(f906(x88111,a894)),x88112),f317(f317(f299(x88111),x88113),f178(f906(x88111,a894)))))),f14(x88111,f317(f317(f299(x88111),x88113),x88112))) % 169.26/169.10 [8812]~P4(x88121)+~P1(f317(f28(x88121),x88122))+E(f317(f317(f23(f906(x88121,a894)),x88122),f317(f317(f299(x88121),x88123),f178(f906(x88121,a894)))),f178(f906(x88121,a894)))+E(f317(f317(f223(x88121),x88123),f15(x88121,f317(f317(f23(f906(x88121,a894)),x88122),f317(f317(f299(x88121),x88123),f178(f906(x88121,a894)))))),f15(x88121,f317(f317(f299(x88121),x88123),x88122))) % 169.26/169.10 [8813]~P101(x88131)+~P1(f317(f28(x88131),x88132))+E(f317(f317(f23(f906(x88131,a894)),x88132),f317(f317(f299(x88131),x88133),f178(f906(x88131,a894)))),f178(f906(x88131,a894)))+E(f317(f317(f91(x88131),x88133),f13(x88131,f317(f317(f23(f906(x88131,a894)),x88132),f317(f317(f299(x88131),x88133),f178(f906(x88131,a894)))))),f13(x88131,f317(f317(f299(x88131),x88133),x88132))) % 169.26/169.10 [8814]~P101(x88141)+~P1(f317(f28(x88141),x88142))+E(f317(f317(f23(f906(x88141,a894)),x88142),f317(f317(f299(x88141),x88143),f178(f906(x88141,a894)))),f178(f906(x88141,a894)))+E(f317(f317(f92(x88141),x88143),f10(x88141,f317(f317(f23(f906(x88141,a894)),x88142),f317(f317(f299(x88141),x88143),f178(f906(x88141,a894)))))),f10(x88141,f317(f317(f299(x88141),x88143),x88142))) % 169.26/169.10 [8886]~P4(x88861)+~P1(f317(f28(x88861),x88862))+E(f317(f317(f23(f906(x88861,a894)),x88862),f317(f317(f299(x88861),x88863),f178(f906(x88861,a894)))),f178(f906(x88861,a894)))+E(f317(f317(f228(x88861),x88863),f11(x88861,f228(x88861),f317(f317(f23(f906(x88861,a894)),x88862),f317(f317(f299(x88861),x88863),f178(f906(x88861,a894)))))),f11(x88861,f228(x88861),f317(f317(f299(x88861),x88863),x88862))) % 169.26/169.10 [8887]~P4(x88871)+~P1(f317(f28(x88871),x88872))+E(f317(f317(f23(f906(x88871,a894)),x88872),f317(f317(f299(x88871),x88873),f178(f906(x88871,a894)))),f178(f906(x88871,a894)))+E(f317(f317(f223(x88871),x88873),f12(x88871,f223(x88871),f317(f317(f23(f906(x88871,a894)),x88872),f317(f317(f299(x88871),x88873),f178(f906(x88871,a894)))))),f12(x88871,f223(x88871),f317(f317(f299(x88871),x88873),x88872))) % 169.26/169.10 [9473]E(x94731,x94732)+~E(f317(f132(f898(x94733),f898(x94733),f124(x94733),f103(x94733)),x94731),f317(f132(f898(x94733),f898(x94733),f124(x94733),f103(x94733)),x94732))+~E(f317(f179(f898(f898(x94733))),x94731),f317(f179(f898(f898(x94733))),x94732))+P1(f317(f317(f319(f905(f898(x94733),f898(x94733))),f682(x94731,x94732,x94733)),f317(f162(f905(f898(x94733),f898(x94733))),f317(f317(f171(f898(x94733),f898(x94733)),x94732),x94731)))) % 169.26/169.10 [9474]E(x94741,x94742)+~E(f317(f132(f898(x94743),f898(x94743),f124(x94743),f103(x94743)),x94741),f317(f132(f898(x94743),f898(x94743),f124(x94743),f103(x94743)),x94742))+~E(f317(f179(f898(f898(x94743))),x94741),f317(f179(f898(f898(x94743))),x94742))+P1(f317(f317(f319(f905(f898(x94743),f898(x94743))),f683(x94742,x94741,x94743)),f317(f162(f905(f898(x94743),f898(x94743))),f317(f317(f171(f898(x94743),f898(x94743)),x94741),x94742)))) % 169.26/169.10 [10338]~P80(x103382)+E(x103381,f178(f906(x103382,a894)))+~P1(f317(f28(x103382),x103381))+E(f14(x103382,f317(f252(x103382),f317(f317(f8(f906(x103382,a894),a894,x103382),f81(x103382)),f317(f317(f7(x103382,f906(x103382,a894),f906(x103382,a894)),f317(f317(f8(f906(x103382,f906(a894,a894)),f906(f906(x103382,a894),f906(x103382,a894)),x103382),f18(x103382,a894,a894)),f317(f317(f8(f906(x103382,a894),f906(x103382,f906(a894,a894)),x103382),f317(f8(a894,f906(a894,a894),x103382),a315)),f317(f317(f7(x103382,f906(x103382,x103382),f906(x103382,a894)),f317(f317(f8(f906(x103382,a894),f906(f906(x103382,x103382),f906(x103382,a894)),x103382),f8(x103382,a894,x103382)),a314)),f317(f74(x103382),x103383))))),f317(f317(f7(x103382,f906(x103382,a894),a894),f319(x103382)),x103381))))),f317(f317(f74(x103382),x103383),f14(x103382,x103381))) % 169.26/169.10 [10339]~P80(x103392)+E(x103391,f178(f906(x103392,a894)))+~P1(f317(f28(x103392),x103391))+E(f15(x103392,f317(f252(x103392),f317(f317(f8(f906(x103392,a894),a894,x103392),f81(x103392)),f317(f317(f7(x103392,f906(x103392,a894),f906(x103392,a894)),f317(f317(f8(f906(x103392,f906(a894,a894)),f906(f906(x103392,a894),f906(x103392,a894)),x103392),f18(x103392,a894,a894)),f317(f317(f8(f906(x103392,a894),f906(x103392,f906(a894,a894)),x103392),f317(f8(a894,f906(a894,a894),x103392),a315)),f317(f317(f7(x103392,f906(x103392,x103392),f906(x103392,a894)),f317(f317(f8(f906(x103392,a894),f906(f906(x103392,x103392),f906(x103392,a894)),x103392),f8(x103392,a894,x103392)),a314)),f317(f74(x103392),x103393))))),f317(f317(f7(x103392,f906(x103392,a894),a894),f319(x103392)),x103391))))),f317(f317(f74(x103392),x103393),f15(x103392,x103391))) % 169.26/169.10 [10340]~P104(x103402)+E(x103401,f178(f906(x103402,a894)))+~P1(f317(f28(x103402),x103401))+E(f10(x103402,f317(f252(x103402),f317(f317(f8(f906(x103402,a894),a894,x103402),f81(x103402)),f317(f317(f7(x103402,f906(x103402,a894),f906(x103402,a894)),f317(f317(f8(f906(x103402,f906(a894,a894)),f906(f906(x103402,a894),f906(x103402,a894)),x103402),f18(x103402,a894,a894)),f317(f317(f8(f906(x103402,a894),f906(x103402,f906(a894,a894)),x103402),f317(f8(a894,f906(a894,a894),x103402),a315)),f317(f317(f7(x103402,f906(x103402,x103402),f906(x103402,a894)),f317(f317(f8(f906(x103402,a894),f906(f906(x103402,x103402),f906(x103402,a894)),x103402),f8(x103402,a894,x103402)),a314)),f317(f91(x103402),x103403))))),f317(f317(f7(x103402,f906(x103402,a894),a894),f319(x103402)),x103401))))),f317(f317(f91(x103402),x103403),f10(x103402,x103401))) % 169.26/169.10 [10341]~P104(x103412)+E(x103411,f178(f906(x103412,a894)))+~P1(f317(f28(x103412),x103411))+E(f13(x103412,f317(f252(x103412),f317(f317(f8(f906(x103412,a894),a894,x103412),f81(x103412)),f317(f317(f7(x103412,f906(x103412,a894),f906(x103412,a894)),f317(f317(f8(f906(x103412,f906(a894,a894)),f906(f906(x103412,a894),f906(x103412,a894)),x103412),f18(x103412,a894,a894)),f317(f317(f8(f906(x103412,a894),f906(x103412,f906(a894,a894)),x103412),f317(f8(a894,f906(a894,a894),x103412),a315)),f317(f317(f7(x103412,f906(x103412,x103412),f906(x103412,a894)),f317(f317(f8(f906(x103412,a894),f906(f906(x103412,x103412),f906(x103412,a894)),x103412),f8(x103412,a894,x103412)),a314)),f317(f92(x103412),x103413))))),f317(f317(f7(x103412,f906(x103412,a894),a894),f319(x103412)),x103411))))),f317(f317(f92(x103412),x103413),f13(x103412,x103411))) % 169.26/169.10 [10342]~P4(x103422)+E(x103421,f178(f906(x103422,a894)))+~P1(f317(f28(x103422),x103421))+E(f12(x103422,f223(x103422),f317(f252(x103422),f317(f317(f8(f906(x103422,a894),a894,x103422),f81(x103422)),f317(f317(f7(x103422,f906(x103422,a894),f906(x103422,a894)),f317(f317(f8(f906(x103422,f906(a894,a894)),f906(f906(x103422,a894),f906(x103422,a894)),x103422),f18(x103422,a894,a894)),f317(f317(f8(f906(x103422,a894),f906(x103422,f906(a894,a894)),x103422),f317(f8(a894,f906(a894,a894),x103422),a315)),f317(f317(f7(x103422,f906(x103422,x103422),f906(x103422,a894)),f317(f317(f8(f906(x103422,a894),f906(f906(x103422,x103422),f906(x103422,a894)),x103422),f8(x103422,a894,x103422)),a314)),f317(f228(x103422),x103423))))),f317(f317(f7(x103422,f906(x103422,a894),a894),f319(x103422)),x103421))))),f317(f317(f228(x103422),x103423),f12(x103422,f223(x103422),x103421))) % 169.26/169.10 [10343]~P4(x103432)+E(x103431,f178(f906(x103432,a894)))+~P1(f317(f28(x103432),x103431))+E(f11(x103432,f228(x103432),f317(f252(x103432),f317(f317(f8(f906(x103432,a894),a894,x103432),f81(x103432)),f317(f317(f7(x103432,f906(x103432,a894),f906(x103432,a894)),f317(f317(f8(f906(x103432,f906(a894,a894)),f906(f906(x103432,a894),f906(x103432,a894)),x103432),f18(x103432,a894,a894)),f317(f317(f8(f906(x103432,a894),f906(x103432,f906(a894,a894)),x103432),f317(f8(a894,f906(a894,a894),x103432),a315)),f317(f317(f7(x103432,f906(x103432,x103432),f906(x103432,a894)),f317(f317(f8(f906(x103432,a894),f906(f906(x103432,x103432),f906(x103432,a894)),x103432),f8(x103432,a894,x103432)),a314)),f317(f223(x103432),x103433))))),f317(f317(f7(x103432,f906(x103432,a894),a894),f319(x103432)),x103431))))),f317(f317(f223(x103432),x103433),f11(x103432,f228(x103432),x103431))) % 169.26/169.10 [10057]~P111(x100571)+~E(x100573,f2(x100571))+~E(x100572,f2(x100571))+E(f317(f317(f74(x100571),f317(f317(f234(x100571),x100572),f317(f94(a897),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(x100571),x100573),f317(f94(a897),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(x100571)) % 169.26/169.10 [10210]~P110(x102101)+~P1(f317(f317(f224(x102101),f2(x102101)),x102103))+P1(f317(f317(f224(x102101),x102102),x102103))+~P1(f317(f317(f224(x102101),f317(f317(f234(x102101),x102102),f317(f94(a897),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(x102101),x102103),f317(f94(a897),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)))))) % 169.26/169.10 [10267]~P111(x102672)+~E(x102671,f2(x102672))+~E(x102673,f2(x102672))+~P1(f317(f317(f225(x102672),f2(x102672)),f317(f317(f74(x102672),f317(f317(f234(x102672),x102673),f317(f94(a897),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(x102672),x102671),f317(f94(a897),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))))))) % 169.26/169.10 [6802]~P10(x68023,x68022)+~P1(f317(x68021,x68024))+~P1(f317(f317(f319(x68023),x68024),f260(x68023,x68022)))+P1(f317(x68021,f801(x68021,x68022,x68023))) % 169.26/169.10 [8722]P28(x87221,x87222,f805(x87223,x87222,x87224,x87221),x87224,x87223)+~E(f317(f29(x87221),x87224),f317(f29(x87222),x87223))+~P1(f317(f28(x87222),x87223))+~P1(f317(f28(x87221),x87224)) % 169.26/169.10 [9436]E(x94361,x94362)+~E(f629(x94361,x94362,x94364,x94363),f631(x94361,x94362,x94364,x94363))+P1(f317(f317(f319(f905(f898(x94363),f898(x94363))),f317(f317(f242(f898(x94363),f898(x94363)),x94362),x94361)),f137(x94363,x94364)))+P1(f317(f317(f319(f905(f898(x94363),f898(x94363))),f317(f317(f242(f898(x94363),f898(x94363)),x94361),x94362)),f137(x94363,x94364))) % 169.26/169.10 [4915]~P64(x49152)+~E(x49154,f2(x49152))+~E(x49151,f2(x49152))+E(x49151,f317(f317(f281(x49152),x49153),x49154)) % 169.26/169.10 [4916]~P64(x49161)+~E(x49163,f2(x49161))+~E(x49164,f2(x49161))+E(f317(f317(f281(x49161),x49162),x49163),x49164) % 169.26/169.10 [5036]~P64(x50362)+E(x50361,f2(x50362))+~E(x50363,f2(x50362))+~E(x50361,f317(f317(f281(x50362),x50364),x50363)) % 169.26/169.10 [5037]~P64(x50372)+E(x50371,f2(x50372))+~E(x50373,f2(x50372))+~E(f317(f317(f281(x50372),x50374),x50373),x50371) % 169.26/169.10 [5220]~P122(x52202)+E(x52201,f2(x52202))+~E(f317(f317(f281(x52202),x52203),x52201),x52204)+E(x52203,f317(f317(f75(x52202),x52204),x52201)) % 169.26/169.10 [5222]~P122(x52222)+E(x52221,f2(x52222))+~E(f317(f317(f75(x52222),x52223),x52221),x52224)+E(x52223,f317(f317(f281(x52222),x52224),x52221)) % 169.26/169.10 [5223]~P64(x52232)+E(x52231,f2(x52232))+~E(f317(f317(f281(x52232),x52233),x52231),x52234)+E(x52233,f317(f317(f75(x52232),x52234),x52231)) % 169.26/169.10 [5224]~P64(x52242)+E(x52241,f2(x52242))+~E(f317(f317(f75(x52242),x52243),x52241),x52244)+E(x52243,f317(f317(f281(x52242),x52244),x52241)) % 169.26/169.10 [5225]~P122(x52252)+E(x52251,f2(x52252))+~E(x52253,f317(f317(f281(x52252),x52254),x52251))+E(f317(f317(f75(x52252),x52253),x52251),x52254) % 169.26/169.10 [5227]~P122(x52272)+E(x52271,f2(x52272))+~E(x52273,f317(f317(f75(x52272),x52274),x52271))+E(f317(f317(f281(x52272),x52273),x52271),x52274) % 169.26/169.10 [5228]~P64(x52282)+E(x52281,f2(x52282))+~E(x52283,f317(f317(f281(x52282),x52284),x52281))+E(f317(f317(f75(x52282),x52283),x52281),x52284) % 169.26/169.10 [5229]~P64(x52292)+E(x52291,f2(x52292))+~E(x52293,f317(f317(f75(x52292),x52294),x52291))+E(f317(f317(f281(x52292),x52293),x52291),x52294) % 169.26/169.10 [5253]~P64(x52532)+~E(x52531,f2(x52532))+~E(f317(f317(f75(x52532),x52531),x52534),x52533)+E(x52531,f317(f317(f281(x52532),x52533),x52534)) % 169.26/169.10 [5254]~P64(x52541)+~E(x52544,f2(x52541))+~E(x52542,f317(f317(f75(x52541),x52544),x52543))+E(f317(f317(f281(x52541),x52542),x52543),x52544) % 169.26/169.10 [5328]~E(x53283,x53284)+~E(x53282,x53283)+~P109(x53281)+E(f293(x53281,x53282,x53283),f317(f317(f299(x53281),x53284),f178(f906(x53281,a894)))) % 169.26/169.10 [5532]~E(f104(x55322,x55321),x55323)+~E(f134(x55322,x55321),x55324)+E(x55321,f103(x55322))+E(f317(f317(f124(x55322),x55323),f317(f317(f141(x55322),x55324),f103(x55322))),x55321) % 169.26/169.10 [6175]~P110(x61753)+E(x61751,x61752)+~E(f317(f317(f234(x61753),x61754),x61751),f317(f317(f234(x61753),x61754),x61752))+~P1(f317(f317(f225(x61753),f72(x61753)),x61754)) % 169.26/169.10 [6176]E(x61761,x61762)+~E(f317(f317(f299(x61763),x61764),x61761),f317(f317(f299(x61763),x61764),x61762))+P1(f317(f317(f319(x61763),x61764),x61762))+P1(f317(f317(f319(x61763),x61764),x61761)) % 169.26/169.10 [6219]E(f317(x62191,x62192),f72(a897))+~E(f317(f317(f9(x62193,a897),x62191),x62194),f72(a897))+~P1(f317(f28(x62193),x62194))+~P1(f317(f317(f319(x62193),x62192),x62194)) % 169.26/169.10 [6220]E(f317(x62201,x62202),f2(a897))+~E(f317(f317(f6(x62203,a897),x62201),x62204),f2(a897))+~P1(f317(f28(x62203),x62204))+~P1(f317(f317(f319(x62203),x62202),x62204)) % 169.26/169.10 [6448]~P109(x64481)+~P1(f317(f317(f224(x64481),x64484),x64483))+P1(f317(f317(f224(x64481),x64482),x64483))+~P1(f317(f317(f224(x64481),x64482),x64484)) % 169.26/169.10 [6449]~P2(x64491)+~P1(f317(f317(f224(x64491),x64492),x64494))+P1(f317(f317(f224(x64491),x64492),x64493))+~P1(f317(f317(f224(x64491),x64494),x64493)) % 169.26/169.10 [6450]~P109(x64501)+~P1(f317(f317(f225(x64501),x64504),x64503))+P1(f317(f317(f225(x64501),x64502),x64503))+~P1(f317(f317(f224(x64501),x64502),x64504)) % 169.26/169.10 [6451]~P109(x64511)+~P1(f317(f317(f225(x64511),x64512),x64514))+P1(f317(f317(f225(x64511),x64512),x64513))+~P1(f317(f317(f224(x64511),x64514),x64513)) % 169.26/169.10 [6452]~P109(x64521)+~P1(f317(f317(f225(x64521),x64524),x64523))+P1(f317(f317(f225(x64521),x64522),x64523))+~P1(f317(f317(f225(x64521),x64522),x64524)) % 169.26/169.10 [6453]~P2(x64531)+~P1(f317(f317(f225(x64531),x64532),x64534))+P1(f317(f317(f225(x64531),x64532),x64533))+~P1(f317(f317(f224(x64531),x64534),x64533)) % 169.26/169.10 [6454]~P2(x64541)+~P1(f317(f317(f225(x64541),x64544),x64543))+P1(f317(f317(f225(x64541),x64542),x64543))+~P1(f317(f317(f224(x64541),x64542),x64544)) % 169.26/169.10 [6455]~P2(x64551)+~P1(f317(f317(f225(x64551),x64552),x64554))+P1(f317(f317(f225(x64551),x64552),x64553))+~P1(f317(f317(f225(x64551),x64554),x64553)) % 169.26/169.10 [6456]~P112(x64561)+~P1(f317(f317(f277(x64561),x64562),x64564))+P1(f317(f317(f277(x64561),x64562),x64563))+~P1(f317(f317(f277(x64561),x64564),x64563)) % 169.26/169.10 [6538]~P37(x65384,x65383,x65382)+E(x65381,f737(x65382,x65383,x65384))+~P1(f317(x65383,x65381))+~P1(f317(f317(f319(x65384),x65381),f317(f162(x65384),x65382))) % 169.26/169.10 [6539]~P37(x65394,x65393,x65392)+E(x65391,f746(x65392,x65393,x65394))+~P1(f317(x65393,x65391))+~P1(f317(f317(f319(x65394),x65391),f317(f162(x65394),x65392))) % 169.26/169.10 [6693]~P8(x66931)+~P1(f317(f317(f224(x66931),x66932),f32(x66931,x66934)))+P1(f317(f317(f224(x66931),x66932),x66933))+~P1(f317(f317(f319(x66931),x66933),x66934)) % 169.26/169.10 [6844]~P4(x68441)+~P16(x68441,f317(f317(f141(x68441),x68442),x68444))+~P1(f317(f317(f319(x68441),x68443),f317(f162(x68441),x68444)))+P1(f317(f317(f224(x68441),x68442),x68443)) % 169.26/169.10 [6934]~P8(x69341)+~P1(f317(f317(f224(x69341),f31(x69341,x69344)),x69343))+P1(f317(f317(f224(x69341),x69342),x69343))+~P1(f317(f317(f319(x69341),x69342),x69344)) % 169.26/169.10 [7080]~P6(x70801)+P1(f317(f317(f277(x70801),x70802),f40(x70801,x70803,x70804)))+~P1(f317(f317(f277(x70801),x70802),x70804))+~P1(f317(f317(f277(x70801),x70802),x70803)) % 169.26/169.10 [7344]~P4(x73441)+E(f317(f317(f91(f906(x73441,a894)),f317(f292(x73441,x73442),x73443)),f317(f292(x73441,x73443),x73444)),f317(f292(x73441,x73442),x73444))+~P1(f317(f317(f224(x73441),x73443),x73444))+~P1(f317(f317(f224(x73441),x73442),x73443)) % 169.26/169.10 [7388]P37(x73881,x73882,x73883)+~E(f749(x73883,x73882,x73881,x73884),x73884)+~P1(f317(x73882,x73884))+~P1(f317(f317(f319(x73881),x73884),f317(f162(x73881),x73883))) % 169.26/169.10 [7389]P37(x73891,x73892,x73893)+~E(f755(x73893,x73892,x73891,x73894),x73894)+~P1(f317(x73892,x73894))+~P1(f317(f317(f319(x73891),x73894),f317(f162(x73891),x73893))) % 169.26/169.10 [7432]~P6(x74321)+~P1(f317(f317(f277(x74321),x74322),f40(x74321,x74323,x74324)))+P1(f317(f317(f277(x74321),x74322),x74323))+~P1(f317(f317(f277(x74321),x74322),x74324)) % 169.26/169.10 [7466]~P4(x74661)+E(f317(f317(f91(f906(x74661,a894)),f317(f292(x74661,x74662),x74663)),f293(x74661,x74663,x74664)),f293(x74661,x74662,x74664))+~P1(f317(f317(f224(x74661),x74663),x74664))+~P1(f317(f317(f224(x74661),x74662),x74663)) % 169.26/169.10 [7528]~P4(x75281)+E(f317(f317(f91(f906(x75281,a894)),f296(x75281,x75282,x75283)),f317(f292(x75281,x75283),x75284)),f296(x75281,x75282,x75284))+~P1(f317(f317(f224(x75281),x75283),x75284))+~P1(f317(f317(f225(x75281),x75282),x75283)) % 169.26/169.10 [7545]~P4(x75451)+E(f317(f317(f91(f906(x75451,a894)),f293(x75451,x75452,x75453)),f296(x75451,x75453,x75454)),f317(f292(x75451,x75452),x75454))+~P1(f317(f317(f224(x75451),x75452),x75453))+~P1(f317(f317(f225(x75451),x75453),x75454)) % 169.26/169.10 [7575]~P4(x75751)+E(f317(f317(f91(f906(x75751,a894)),f296(x75751,x75752,x75753)),f293(x75751,x75753,x75754)),f295(x75751,x75752,x75754))+~P1(f317(f317(f224(x75751),x75753),x75754))+~P1(f317(f317(f225(x75751),x75752),x75753)) % 169.26/169.10 [7576]~P4(x75761)+E(f317(f317(f91(f906(x75761,a894)),f295(x75761,x75762,x75763)),f296(x75761,x75763,x75764)),f296(x75761,x75762,x75764))+~P1(f317(f317(f224(x75761),x75762),x75763))+~P1(f317(f317(f225(x75761),x75763),x75764)) % 169.26/169.10 [7577]~P4(x75771)+E(f317(f317(f91(f906(x75771,a894)),f295(x75771,x75772,x75773)),f295(x75771,x75773,x75774)),f295(x75771,x75772,x75774))+~P1(f317(f317(f224(x75771),x75773),x75774))+~P1(f317(f317(f224(x75771),x75772),x75773)) % 169.26/169.10 [7578]~P4(x75781)+E(f317(f317(f91(f906(x75781,a894)),f293(x75781,x75782,x75783)),f295(x75781,x75783,x75784)),f293(x75781,x75782,x75784))+~P1(f317(f317(f224(x75781),x75783),x75784))+~P1(f317(f317(f224(x75781),x75782),x75783)) % 169.26/169.10 [8368]P27(x83681,x83682,f331(x83683,x83682,x83684,x83681),x83684)+~P1(f317(f28(x83682),x83683))+~P1(f317(f28(x83681),x83684))+~P1(f317(f317(f224(a897),f317(f29(x83681),x83684)),f317(f29(x83682),x83683))) % 169.26/169.10 [8389]P37(x83891,x83892,x83893)+~P1(f317(x83892,x83894))+P1(f317(x83892,f749(x83893,x83892,x83891,x83894)))+~P1(f317(f317(f319(x83891),x83894),f317(f162(x83891),x83893))) % 169.26/169.10 [8390]P37(x83901,x83902,x83903)+~P1(f317(x83902,x83904))+P1(f317(x83902,f755(x83903,x83902,x83901,x83904)))+~P1(f317(f317(f319(x83901),x83904),f317(f162(x83901),x83903))) % 169.26/169.10 [8444]~P79(x84441)+~E(f317(x84443,f787(x84443,x84444,x84442,x84441)),f72(x84441))+E(f317(f317(f317(f59(x84441,x84442,f75(x84441)),x84443),f72(x84441)),x84444),f72(x84441))+~P1(f317(f28(x84442),x84444)) % 169.26/169.10 [8711]~P110(x87111)+~P1(f317(f317(f224(x87111),f2(x87111)),x87113))+P1(f317(f317(f224(x87111),x87112),x87113))+~P1(f317(f317(f224(x87111),f317(f317(f234(x87111),x87112),f317(a102,x87114))),f317(f317(f234(x87111),x87113),f317(a102,x87114)))) % 169.26/169.10 [9029]P37(x90291,x90292,x90293)+~P1(f317(x90292,x90294))+~P1(f317(f317(f319(x90291),x90294),f317(f162(x90291),x90293)))+P1(f317(f317(f319(x90291),f749(x90293,x90292,x90291,x90294)),f317(f162(x90291),x90293))) % 169.26/169.10 [9030]P37(x90301,x90302,x90303)+~P1(f317(x90302,x90304))+~P1(f317(f317(f319(x90301),x90304),f317(f162(x90301),x90303)))+P1(f317(f317(f319(x90301),f755(x90303,x90302,x90301,x90304)),f317(f162(x90301),x90303))) % 169.26/169.10 [9106]~P79(x91061)+E(f317(f317(f317(f59(x91061,x91062,f75(x91061)),x91063),f72(x91061)),x91064),f72(x91061))+~P1(f317(f28(x91062),x91064))+P1(f317(f317(f319(x91062),f787(x91063,x91064,x91062,x91061)),x91064)) % 169.26/169.10 [9370]~P11(x93702,x93703,x93704)+~P1(f317(f28(x93702),x93703))+~P1(f317(f317(f277(a897),x93701),f317(f29(x93702),f840(x93701,x93704,x93703,x93702))))+P1(f317(f317(f277(a897),x93701),f317(f29(x93702),x93703))) % 169.26/169.10 [9610]~P1(f317(f317(f277(a897),x96101),x96103))+~P1(f317(f317(f277(a897),x96101),x96102))+~P1(f317(f317(f277(a897),x96104),x96103))+~P1(f317(f317(f225(f906(a897,a894)),f280(a897,f277(a897),x96101,x96103)),f280(a897,f277(a897),x96102,x96104))) % 169.26/169.10 [9615]~P1(f317(f317(f224(a1),x96154),f2(a1)))+P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x96151),f40(a1,x96152,x96153))),x96154)),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x96153))+~P1(f317(f317(f225(a1),x96151),x96154)) % 169.26/169.10 [10050]~P1(f317(f28(x100501),x100502))+~P1(f317(f317(f319(x100501),x100504),x100502))+~P1(f317(f317(f319(x100501),x100503),x100502))+P1(f317(f317(f225(a897),f317(f29(x100501),f317(f317(f23(f906(x100501,a894)),f317(f317(f23(f906(x100501,a894)),x100502),f317(f317(f299(x100501),x100503),f178(f906(x100501,a894))))),f317(f317(f299(x100501),x100504),f178(f906(x100501,a894)))))),f317(f29(x100501),x100502))) % 169.26/169.10 [6992]~P145(x69923)+~P121(x69923)+P1(f317(x69921,f836(x69922,x69921,x69923)))+~P1(f317(x69921,f317(f317(f75(x69923),x69922),x69924))) % 169.26/169.10 [7052]~P4(x70521)+~P1(f317(f317(f224(x70521),x70522),x70524))+~P1(f317(f317(f224(x70521),x70522),x70523))+P1(f317(f317(f224(x70521),x70522),f317(f317(f228(x70521),x70523),x70524))) % 169.26/169.10 [7055]~P106(x70551)+~P1(f317(f317(f224(x70551),x70552),x70554))+~P1(f317(f317(f224(x70551),x70552),x70553))+P1(f317(f317(f224(x70551),x70552),f317(f317(f92(x70551),x70553),x70554))) % 169.26/169.10 [7056]~P4(x70561)+~P1(f317(f317(f225(x70561),x70562),x70564))+~P1(f317(f317(f225(x70561),x70562),x70563))+P1(f317(f317(f225(x70561),x70562),f317(f317(f228(x70561),x70563),x70564))) % 169.26/169.10 [7057]~P114(x70571)+~P1(f317(f317(f277(x70571),x70572),x70574))+~P1(f317(f317(f277(x70571),x70572),x70573))+P1(f317(f317(f277(x70571),x70572),f317(f317(f23(x70571),x70573),x70574))) % 169.26/169.10 [7058]~P112(x70581)+~P1(f317(f317(f277(x70581),x70582),x70584))+~P1(f317(f317(f277(x70581),x70582),x70583))+P1(f317(f317(f277(x70581),x70582),f317(f317(f74(x70581),x70583),x70584))) % 169.26/169.10 [7078]~P65(x70782)+E(x70781,f2(x70782))+E(f317(f317(f281(x70782),f317(f317(f234(x70782),x70781),x70783)),f317(f317(f234(x70782),x70781),x70784)),f317(f317(f234(x70782),x70781),f317(f317(f23(a897),x70783),x70784)))+~P1(f317(f317(f224(a897),x70784),x70783)) % 169.26/169.10 [7124]~P4(x71241)+~P16(x71241,f317(f317(f141(x71241),x71243),x71244))+P16(x71241,f317(f317(f141(x71241),x71242),f317(f317(f141(x71241),x71243),x71244)))+~P1(f317(f317(f224(x71241),x71242),x71243)) % 169.26/169.10 [7160]~P86(x71601)+~P1(f317(f317(f224(x71601),f2(x71601)),x71604))+~P1(f317(f317(f224(x71601),x71602),x71603))+P1(f317(f317(f224(x71601),x71602),f317(f317(f74(x71601),x71603),x71604))) % 169.26/169.10 [7161]~P86(x71611)+~P1(f317(f317(f224(x71611),f2(x71611)),x71613))+~P1(f317(f317(f224(x71611),x71612),x71614))+P1(f317(f317(f224(x71611),x71612),f317(f317(f74(x71611),x71613),x71614))) % 169.26/169.10 [7162]~P86(x71621)+~P1(f317(f317(f224(x71621),x71622),x71624))+~P1(f317(f317(f225(x71621),f2(x71621)),x71623))+P1(f317(f317(f225(x71621),x71622),f317(f317(f74(x71621),x71623),x71624))) % 169.26/169.10 [7163]~P86(x71631)+~P1(f317(f317(f224(x71631),f2(x71631)),x71633))+~P1(f317(f317(f225(x71631),x71632),x71634))+P1(f317(f317(f225(x71631),x71632),f317(f317(f74(x71631),x71633),x71634))) % 169.26/169.10 [7164]~P110(x71641)+~P1(f317(f317(f225(x71641),f2(x71641)),x71643))+~P1(f317(f317(f225(x71641),x71642),x71644))+P1(f317(f317(f225(x71641),x71642),f317(f317(f74(x71641),x71643),x71644))) % 169.26/169.10 [7205]~P4(x72051)+P1(f317(f317(f224(x72051),x72052),x72053))+P1(f317(f317(f224(x72051),x72052),x72054))+~P1(f317(f317(f224(x72051),x72052),f317(f317(f223(x72051),x72054),x72053))) % 169.26/169.10 [7206]~P4(x72061)+P1(f317(f317(f225(x72061),x72062),x72063))+P1(f317(f317(f225(x72061),x72062),x72064))+~P1(f317(f317(f225(x72061),x72062),f317(f317(f223(x72061),x72064),x72063))) % 169.26/169.10 [7500]~P109(x75002)+~P63(x75001)+~P1(f317(f317(f225(f906(x75001,x75002)),x75003),x75004))+P1(f317(f317(f224(f906(x75001,x75002)),x75003),x75004)) % 169.26/169.10 [7866]~P67(x78661)+~P1(f317(f317(f225(x78661),x78664),f2(x78661)))+~P1(f317(f317(f224(x78661),x78663),f317(f317(f281(x78661),x78662),x78664)))+P1(f317(f317(f224(x78661),x78662),f317(f317(f75(x78661),x78663),x78664))) % 169.26/169.10 [7867]~P67(x78671)+~P1(f317(f317(f225(x78671),x78674),f2(x78671)))+~P1(f317(f317(f224(x78671),x78673),f317(f317(f75(x78671),x78672),x78674)))+P1(f317(f317(f224(x78671),x78672),f317(f317(f281(x78671),x78673),x78674))) % 169.26/169.10 [7868]~P67(x78681)+~P1(f317(f317(f225(x78681),x78684),f2(x78681)))+~P1(f317(f317(f225(x78681),x78683),f317(f317(f281(x78681),x78682),x78684)))+P1(f317(f317(f225(x78681),x78682),f317(f317(f75(x78681),x78683),x78684))) % 169.26/169.10 [7869]~P67(x78691)+~P1(f317(f317(f225(x78691),x78694),f2(x78691)))+~P1(f317(f317(f225(x78691),x78693),f317(f317(f75(x78691),x78692),x78694)))+P1(f317(f317(f225(x78691),x78692),f317(f317(f281(x78691),x78693),x78694))) % 169.26/169.10 [7976]~P137(x79761)+~P1(f317(f317(f224(x79761),x79762),f2(x79761)))+~P1(f317(f317(f224(x79761),x79764),x79763))+P1(f317(f317(f224(x79761),f317(f317(f75(x79761),x79762),x79763)),f317(f317(f75(x79761),x79762),x79764))) % 169.26/169.10 [7977]~P125(x79771)+~P1(f317(f317(f225(x79771),x79772),f2(x79771)))+~P1(f317(f317(f224(x79771),x79774),x79773))+P1(f317(f317(f224(x79771),f317(f317(f75(x79771),x79772),x79773)),f317(f317(f75(x79771),x79772),x79774))) % 169.26/169.10 [7978]~P137(x79781)+~P1(f317(f317(f224(x79781),x79783),f2(x79781)))+~P1(f317(f317(f224(x79781),x79784),x79782))+P1(f317(f317(f224(x79781),f317(f317(f75(x79781),x79782),x79783)),f317(f317(f75(x79781),x79784),x79783))) % 169.26/169.10 [7979]~P66(x79791)+~P1(f317(f317(f224(x79791),x79793),f2(x79791)))+~P1(f317(f317(f224(x79791),x79794),x79792))+P1(f317(f317(f224(x79791),f317(f317(f281(x79791),x79792),x79793)),f317(f317(f281(x79791),x79794),x79793))) % 169.26/169.10 [7983]~P125(x79831)+~P1(f317(f317(f225(x79831),x79833),f2(x79831)))+~P1(f317(f317(f225(x79831),x79834),x79832))+P1(f317(f317(f225(x79831),f317(f317(f75(x79831),x79832),x79833)),f317(f317(f75(x79831),x79834),x79833))) % 169.26/169.10 [7984]~P125(x79841)+~P1(f317(f317(f225(x79841),x79842),f2(x79841)))+~P1(f317(f317(f225(x79841),x79844),x79843))+P1(f317(f317(f225(x79841),f317(f317(f75(x79841),x79842),x79843)),f317(f317(f75(x79841),x79842),x79844))) % 169.26/169.10 [7985]~P67(x79851)+~P1(f317(f317(f225(x79851),x79853),f2(x79851)))+~P1(f317(f317(f225(x79851),x79854),x79852))+P1(f317(f317(f225(x79851),f317(f317(f281(x79851),x79852),x79853)),f317(f317(f281(x79851),x79854),x79853))) % 169.26/169.10 [7986]~P110(x79861)+~P1(f317(f317(f225(x79861),f72(x79861)),x79862))+~P1(f317(f317(f224(a897),x79863),x79864))+P1(f317(f317(f224(x79861),f317(f317(f234(x79861),x79862),x79863)),f317(f317(f234(x79861),x79862),x79864))) % 169.26/169.10 [7987]~P110(x79871)+~P1(f317(f317(f224(x79871),f72(x79871)),x79872))+~P1(f317(f317(f224(a897),x79873),x79874))+P1(f317(f317(f224(x79871),f317(f317(f234(x79871),x79872),x79873)),f317(f317(f234(x79871),x79872),x79874))) % 169.26/169.10 [7989]~P110(x79891)+~P1(f317(f317(f225(x79891),f72(x79891)),x79892))+~P1(f317(f317(f225(a897),x79893),x79894))+P1(f317(f317(f225(x79891),f317(f317(f234(x79891),x79892),x79893)),f317(f317(f234(x79891),x79892),x79894))) % 169.26/169.10 [8016]P1(f317(f317(f225(a897),f2(a897)),f317(x80161,x80162)))+~P1(f317(f28(x80163),x80164))+~P1(f317(f317(f319(x80163),x80162),x80164))+~P1(f317(f317(f225(a897),f2(a897)),f317(f317(f9(x80163,a897),x80161),x80164))) % 169.26/169.10 [8025]~P139(x80251)+~P1(f317(f317(f224(x80251),x80253),x80254))+~P1(f317(f317(f224(x80251),f2(x80251)),x80252))+P1(f317(f317(f224(x80251),f317(f317(f75(x80251),x80252),x80253)),f317(f317(f75(x80251),x80252),x80254))) % 169.26/169.10 [8026]~P138(x80261)+~P1(f317(f317(f224(x80261),x80263),x80264))+~P1(f317(f317(f224(x80261),f2(x80261)),x80262))+P1(f317(f317(f224(x80261),f317(f317(f75(x80261),x80262),x80263)),f317(f317(f75(x80261),x80262),x80264))) % 169.26/169.10 [8027]~P125(x80271)+~P1(f317(f317(f225(x80271),f2(x80271)),x80272))+~P1(f317(f317(f224(x80271),x80273),x80274))+P1(f317(f317(f224(x80271),f317(f317(f75(x80271),x80272),x80273)),f317(f317(f75(x80271),x80272),x80274))) % 169.26/169.10 [8028]~P139(x80281)+~P1(f317(f317(f224(x80281),x80282),x80284))+~P1(f317(f317(f224(x80281),f2(x80281)),x80283))+P1(f317(f317(f224(x80281),f317(f317(f75(x80281),x80282),x80283)),f317(f317(f75(x80281),x80284),x80283))) % 169.26/169.10 [8029]~P110(x80291)+~P1(f317(f317(f224(x80291),x80292),x80294))+~P1(f317(f317(f224(x80291),f2(x80291)),x80292))+P1(f317(f317(f224(x80291),f317(f317(f234(x80291),x80292),x80293)),f317(f317(f234(x80291),x80294),x80293))) % 169.26/169.10 [8030]~P66(x80301)+~P1(f317(f317(f224(x80301),x80302),x80304))+~P1(f317(f317(f224(x80301),f2(x80301)),x80303))+P1(f317(f317(f224(x80301),f317(f317(f281(x80301),x80302),x80303)),f317(f317(f281(x80301),x80304),x80303))) % 169.26/169.10 [8032]~P119(x80321)+~P1(f317(f317(f225(x80321),x80323),x80324))+~P1(f317(f317(f225(x80321),f2(x80321)),x80322))+P1(f317(f317(f225(x80321),f317(f317(f75(x80321),x80322),x80323)),f317(f317(f75(x80321),x80322),x80324))) % 169.26/169.10 [8033]~P135(x80331)+~P1(f317(f317(f225(x80331),x80333),x80334))+~P1(f317(f317(f225(x80331),f2(x80331)),x80332))+P1(f317(f317(f225(x80331),f317(f317(f75(x80331),x80332),x80333)),f317(f317(f75(x80331),x80332),x80334))) % 169.26/169.10 [8034]~P125(x80341)+~P1(f317(f317(f225(x80341),x80342),x80344))+~P1(f317(f317(f225(x80341),f2(x80341)),x80343))+P1(f317(f317(f225(x80341),f317(f317(f75(x80341),x80342),x80343)),f317(f317(f75(x80341),x80344),x80343))) % 169.26/169.10 [8035]~P135(x80351)+~P1(f317(f317(f225(x80351),x80352),x80354))+~P1(f317(f317(f225(x80351),f2(x80351)),x80353))+P1(f317(f317(f225(x80351),f317(f317(f75(x80351),x80352),x80353)),f317(f317(f75(x80351),x80354),x80353))) % 169.26/169.10 [8036]~P125(x80361)+~P1(f317(f317(f225(x80361),x80363),x80364))+~P1(f317(f317(f225(x80361),f2(x80361)),x80362))+P1(f317(f317(f225(x80361),f317(f317(f75(x80361),x80362),x80363)),f317(f317(f75(x80361),x80362),x80364))) % 169.26/169.10 [8037]~P67(x80371)+~P1(f317(f317(f225(x80371),x80372),x80374))+~P1(f317(f317(f225(x80371),f2(x80371)),x80373))+P1(f317(f317(f225(x80371),f317(f317(f281(x80371),x80372),x80373)),f317(f317(f281(x80371),x80374),x80373))) % 169.26/169.10 [8079]~P3(x80792)+P1(f317(f317(f225(f906(x80791,x80792)),x80794),x80793))+~P1(f317(f317(f224(f906(x80791,x80792)),x80794),x80793))+P1(f317(f317(f224(f906(x80791,x80792)),x80793),x80794)) % 169.26/169.10 [8119]P1(f317(f317(f319(x81191),x81192),x81193))+P1(f317(f317(f319(x81191),x81192),x81194))+~P1(f317(f317(f224(f906(x81191,a894)),x81194),x81193))+P1(f317(f317(f225(f906(x81191,a894)),x81194),f317(f317(f299(x81191),x81192),x81193))) % 169.26/169.10 [8230]~P120(x82302)+E(x82301,f2(x82302))+P1(f317(f317(f277(x82302),x82303),x82304))+~P1(f317(f317(f277(x82302),f317(f317(f75(x82302),x82303),x82301)),f317(f317(f75(x82302),x82304),x82301))) % 169.26/169.10 [8231]~P120(x82312)+E(x82311,f2(x82312))+P1(f317(f317(f277(x82312),x82313),x82314))+~P1(f317(f317(f277(x82312),f317(f317(f75(x82312),x82311),x82313)),f317(f317(f75(x82312),x82311),x82314))) % 169.26/169.10 [8280]P1(f317(f317(f319(x82801),x82802),x82803))+P1(f317(f317(f319(x82801),x82802),x82804))+~P1(f317(f317(f225(f906(x82801,a894)),x82804),f317(f317(f299(x82801),x82802),x82803)))+P1(f317(f317(f224(f906(x82801,a894)),x82804),x82803)) % 169.26/169.10 [8345]~P125(x83451)+P1(f317(f317(f225(x83451),x83453),x83452))+P1(f317(f317(f225(x83451),x83452),x83453))+~P1(f317(f317(f225(x83451),f317(f317(f75(x83451),x83454),x83452)),f317(f317(f75(x83451),x83454),x83453))) % 169.26/169.10 [8346]~P125(x83461)+P1(f317(f317(f225(x83461),x83463),x83462))+P1(f317(f317(f225(x83461),x83462),x83463))+~P1(f317(f317(f225(x83461),f317(f317(f75(x83461),x83462),x83464)),f317(f317(f75(x83461),x83463),x83464))) % 169.26/169.10 [8358]~P125(x83581)+P1(f317(f317(f225(x83581),x83584),f2(x83581)))+P1(f317(f317(f225(x83581),x83582),x83583))+~P1(f317(f317(f225(x83581),f317(f317(f75(x83581),x83582),x83584)),f317(f317(f75(x83581),x83583),x83584))) % 169.26/169.10 [8359]~P125(x83591)+P1(f317(f317(f225(x83591),x83594),f2(x83591)))+P1(f317(f317(f225(x83591),x83592),x83593))+~P1(f317(f317(f225(x83591),f317(f317(f75(x83591),x83594),x83592)),f317(f317(f75(x83591),x83594),x83593))) % 169.26/169.10 [8362]~P125(x83621)+P1(f317(f317(f225(x83621),x83622),x83623))+P1(f317(f317(f225(x83621),f2(x83621)),x83624))+~P1(f317(f317(f225(x83621),f317(f317(f75(x83621),x83624),x83623)),f317(f317(f75(x83621),x83624),x83622))) % 169.26/169.10 [8363]~P125(x83631)+P1(f317(f317(f225(x83631),x83632),x83633))+P1(f317(f317(f225(x83631),f2(x83631)),x83634))+~P1(f317(f317(f225(x83631),f317(f317(f75(x83631),x83633),x83634)),f317(f317(f75(x83631),x83632),x83634))) % 169.26/169.10 [8376]~P125(x83761)+P1(f317(f317(f225(x83761),x83762),f2(x83761)))+P1(f317(f317(f225(x83761),f2(x83761)),x83762))+~P1(f317(f317(f225(x83761),f317(f317(f75(x83761),x83763),x83762)),f317(f317(f75(x83761),x83764),x83762))) % 169.26/169.10 [8377]~P125(x83771)+P1(f317(f317(f225(x83771),x83772),f2(x83771)))+P1(f317(f317(f225(x83771),f2(x83771)),x83772))+~P1(f317(f317(f225(x83771),f317(f317(f75(x83771),x83772),x83773)),f317(f317(f75(x83771),x83772),x83774))) % 169.26/169.10 [8406]~P125(x84061)+~P1(f317(f317(f225(x84061),x84064),f2(x84061)))+P1(f317(f317(f224(x84061),x84062),x84063))+~P1(f317(f317(f224(x84061),f317(f317(f75(x84061),x84064),x84063)),f317(f317(f75(x84061),x84064),x84062))) % 169.26/169.10 [8407]~P125(x84071)+~P1(f317(f317(f225(x84071),x84074),f2(x84071)))+P1(f317(f317(f225(x84071),x84072),x84073))+~P1(f317(f317(f225(x84071),f317(f317(f75(x84071),x84074),x84073)),f317(f317(f75(x84071),x84074),x84072))) % 169.26/169.10 [8418]~P110(x84183)+~P1(f317(f317(f225(x84183),f72(x84183)),x84184))+P1(f317(f317(f224(a897),x84181),x84182))+~P1(f317(f317(f224(x84183),f317(f317(f234(x84183),x84184),x84181)),f317(f317(f234(x84183),x84184),x84182))) % 169.26/169.10 [8420]~P110(x84203)+~P1(f317(f317(f225(x84203),f72(x84203)),x84204))+P1(f317(f317(f225(a897),x84201),x84202))+~P1(f317(f317(f225(x84203),f317(f317(f234(x84203),x84204),x84201)),f317(f317(f234(x84203),x84204),x84202))) % 169.26/169.10 [8430]~P125(x84301)+P1(f317(f317(f224(x84301),x84302),x84303))+~P1(f317(f317(f225(x84301),f2(x84301)),x84304))+~P1(f317(f317(f224(x84301),f317(f317(f75(x84301),x84304),x84302)),f317(f317(f75(x84301),x84304),x84303))) % 169.26/169.10 [8431]~P135(x84311)+P1(f317(f317(f224(x84311),x84312),x84313))+~P1(f317(f317(f225(x84311),f2(x84311)),x84314))+~P1(f317(f317(f224(x84311),f317(f317(f75(x84311),x84314),x84312)),f317(f317(f75(x84311),x84314),x84313))) % 169.26/169.10 [8432]~P135(x84321)+P1(f317(f317(f224(x84321),x84322),x84323))+~P1(f317(f317(f225(x84321),f2(x84321)),x84324))+~P1(f317(f317(f224(x84321),f317(f317(f75(x84321),x84322),x84324)),f317(f317(f75(x84321),x84323),x84324))) % 169.26/169.10 [8433]~P125(x84331)+P1(f317(f317(f225(x84331),x84332),x84333))+~P1(f317(f317(f225(x84331),f2(x84331)),x84334))+~P1(f317(f317(f225(x84331),f317(f317(f75(x84331),x84334),x84332)),f317(f317(f75(x84331),x84334),x84333))) % 169.26/169.10 [8434]~P135(x84341)+P1(f317(f317(f225(x84341),x84342),x84343))+~P1(f317(f317(f224(x84341),f2(x84341)),x84344))+~P1(f317(f317(f225(x84341),f317(f317(f75(x84341),x84344),x84342)),f317(f317(f75(x84341),x84344),x84343))) % 169.26/169.10 [8435]~P130(x84351)+P1(f317(f317(f225(x84351),x84352),x84353))+~P1(f317(f317(f224(x84351),f2(x84351)),x84354))+~P1(f317(f317(f225(x84351),f317(f317(f75(x84351),x84354),x84352)),f317(f317(f75(x84351),x84354),x84353))) % 169.26/169.10 [8436]~P110(x84361)+~P1(f317(f317(f224(x84361),f2(x84361)),x84363))+P1(f317(f317(f225(x84361),x84362),x84363))+~P1(f317(f317(f225(x84361),f317(f317(f234(x84361),x84362),x84364)),f317(f317(f234(x84361),x84363),x84364))) % 169.26/169.10 [8437]~P135(x84371)+P1(f317(f317(f225(x84371),x84372),x84373))+~P1(f317(f317(f224(x84371),f2(x84371)),x84374))+~P1(f317(f317(f225(x84371),f317(f317(f75(x84371),x84372),x84374)),f317(f317(f75(x84371),x84373),x84374))) % 169.26/169.10 [8438]~P130(x84381)+P1(f317(f317(f225(x84381),x84382),x84383))+~P1(f317(f317(f224(x84381),f2(x84381)),x84384))+~P1(f317(f317(f225(x84381),f317(f317(f75(x84381),x84382),x84384)),f317(f317(f75(x84381),x84383),x84384))) % 169.26/169.10 [8482]P1(f317(f317(f319(x84821),x84822),x84823))+~P1(f317(f317(f224(f906(x84821,a894)),x84823),x84824))+~P1(f317(f317(f225(f906(x84821,a894)),x84823),x84824))+P1(f317(f317(f225(f906(x84821,a894)),x84823),f317(f317(f299(x84821),x84822),x84824))) % 169.26/169.10 [8514]~P145(x85141)+~P121(x85141)+P1(f317(f317(f277(x85141),x85142),f317(f317(f74(x85141),f836(x85142,x85143,x85141)),f2(x85141))))+~P1(f317(x85143,f317(f317(f75(x85141),x85142),x85144))) % 169.26/169.10 [8861]E(f317(f317(f23(a1),f372(x88611,x88612,x88613,x88614)),f373(x88611,x88612,x88613,x88614)),x88614)+~P1(f317(f317(f225(a1),f2(a1)),x88613))+~P1(f317(f317(f224(a1),x88611),x88614))+P1(f317(f317(f224(a1),x88611),f317(f317(f74(a1),x88614),x88613))) % 169.26/169.10 [8862]E(f317(f317(f23(a1),f391(x88621,x88622,x88623,x88624)),f388(x88621,x88622,x88623,x88624)),x88624)+~P1(f317(f317(f225(a1),f2(a1)),x88623))+~P1(f317(f317(f225(a1),x88621),x88624))+P1(f317(f317(f225(a1),x88621),f317(f317(f74(a1),x88624),x88623))) % 169.26/169.10 [9012]~E(f317(f317(f154(x90121),x90123),f655(x90124,x90123,x90121,x90122)),f317(f317(f154(x90121),x90124),f655(x90124,x90123,x90121,x90122)))+E(f317(f317(f165(x90121),x90122),x90123),f317(f317(f165(x90121),x90122),x90124))+~P1(f317(f317(f224(a897),x90122),f317(f179(f898(x90121)),x90123)))+~P1(f317(f317(f224(a897),x90122),f317(f179(f898(x90121)),x90124))) % 169.26/169.10 [9074]~P1(f317(f317(f225(a1),f2(a1)),x90743))+~P1(f317(f317(f224(a1),x90741),x90744))+P1(f317(f317(f319(a1),f372(x90741,x90742,x90743,x90744)),x90742))+P1(f317(f317(f224(a1),x90741),f317(f317(f74(a1),x90744),x90743))) % 169.26/169.10 [9075]~P1(f317(f317(f225(a1),f2(a1)),x90753))+~P1(f317(f317(f225(a1),x90751),x90754))+P1(f317(f317(f319(a1),f391(x90751,x90752,x90753,x90754)),x90752))+P1(f317(f317(f225(a1),x90751),f317(f317(f74(a1),x90754),x90753))) % 169.26/169.10 [9115]~P4(x91151)+~P1(f317(f28(x91151),x91153))+~P1(f317(f317(f319(x91151),x91154),x91153))+P1(f317(f317(f224(x91151),f317(f317(f58(x91151,x91151,f228(x91151)),x91152),x91153)),f317(f317(f228(x91151),x91154),x91152))) % 169.26/169.10 [9116]~P106(x91161)+~P1(f317(f28(x91161),x91163))+~P1(f317(f317(f319(x91161),x91164),x91163))+P1(f317(f317(f224(x91161),f317(f317(f58(x91161,x91161,f92(x91161)),x91162),x91163)),f317(f317(f92(x91161),x91164),x91162))) % 169.26/169.10 [9123]~P11(x91232,x91233,x91234)+~P1(f317(f28(x91232),x91233))+P1(f317(f317(f277(a897),x91231),f317(f29(x91232),x91233)))+P1(f317(f317(f319(f906(x91232,a894)),f840(x91231,x91234,x91233,x91232)),f317(f317(f55(x91232),x91233),x91234))) % 169.26/169.10 [9161]E(f317(f317(f165(x91611),x91612),x91613),f317(f317(f165(x91611),x91612),x91614))+P1(f317(f317(f225(a897),f655(x91613,x91614,x91611,x91612)),x91612))+~P1(f317(f317(f224(a897),x91612),f317(f179(f898(x91611)),x91613)))+~P1(f317(f317(f224(a897),x91612),f317(f179(f898(x91611)),x91614))) % 169.26/169.10 [9166]~P1(f317(f317(f225(a1),f2(a1)),x91663))+~P1(f317(f317(f224(a1),x91661),x91662))+P1(f317(f317(f319(a1),f373(x91661,x91664,x91663,x91662)),f293(a1,f72(a1),x91663)))+P1(f317(f317(f224(a1),x91661),f317(f317(f74(a1),x91662),x91663))) % 169.26/169.10 [9167]~P1(f317(f317(f225(a1),f2(a1)),x91673))+~P1(f317(f317(f225(a1),x91671),x91672))+P1(f317(f317(f319(a1),f388(x91671,x91674,x91673,x91672)),f293(a1,f72(a1),x91673)))+P1(f317(f317(f225(a1),x91671),f317(f317(f74(a1),x91672),x91673))) % 169.26/169.10 [9494]~P4(x94941)+~P1(f317(f28(x94941),x94944))+P1(f317(f317(f319(x94941),f605(x94942,x94943,x94944,x94941)),x94944))+P1(f317(f317(f224(x94941),f317(f317(f58(x94941,x94941,f223(x94941)),x94942),x94944)),f317(f317(f223(x94941),x94943),x94942))) % 169.26/169.10 [9495]~P100(x94951)+~P1(f317(f28(x94951),x94954))+P1(f317(f317(f319(x94951),f609(x94952,x94953,x94954,x94951)),x94954))+P1(f317(f317(f224(x94951),f317(f317(f58(x94951,x94951,f91(x94951)),x94952),x94954)),f317(f317(f91(x94951),x94953),x94952))) % 169.26/169.10 [9631]~P4(x96311)+~P1(f317(f28(x96311),x96313))+~P1(f317(f317(f224(x96311),f605(x96312,x96314,x96313,x96311)),x96314))+P1(f317(f317(f224(x96311),f317(f317(f58(x96311,x96311,f223(x96311)),x96312),x96313)),f317(f317(f223(x96311),x96314),x96312))) % 169.26/169.10 [9632]~P100(x96321)+~P1(f317(f28(x96321),x96323))+~P1(f317(f317(f224(x96321),f609(x96322,x96324,x96323,x96321)),x96324))+P1(f317(f317(f224(x96321),f317(f317(f58(x96321,x96321,f91(x96321)),x96322),x96323)),f317(f317(f91(x96321),x96324),x96322))) % 169.26/169.10 [9634]~P1(f317(f317(f224(a1),f2(a1)),x96344))+~P1(f317(f317(f225(a1),f2(a1)),x96343))+~P1(f317(f317(f225(a1),x96344),x96341))+P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x96341),f40(a1,x96342,x96343))),x96344)),f317(f317(f75(a1),x96341),x96343))) % 169.26/169.10 [10022]E(x100221,x100222)+P1(f317(f317(f319(f905(f898(x100223),f898(x100223))),f317(f317(f242(f898(x100223),f898(x100223)),x100222),x100221)),f137(x100223,x100224)))+P1(f317(f317(f319(f905(f898(x100223),f898(x100223))),f317(f317(f242(f898(x100223),f898(x100223)),x100221),x100222)),f137(x100223,x100224)))+~P1(f317(f317(f319(f905(x100223,x100223)),f317(f317(f242(x100223,x100223),f629(x100221,x100222,x100224,x100223)),f631(x100221,x100222,x100224,x100223))),x100224)) % 169.26/169.10 [10023]E(x100231,x100232)+P1(f317(f317(f319(f905(f898(x100233),f898(x100233))),f317(f317(f242(f898(x100233),f898(x100233)),x100232),x100231)),f137(x100233,x100234)))+P1(f317(f317(f319(f905(f898(x100233),f898(x100233))),f317(f317(f242(f898(x100233),f898(x100233)),x100231),x100232)),f137(x100233,x100234)))+~P1(f317(f317(f319(f905(x100233,x100233)),f317(f317(f242(x100233,x100233),f631(x100231,x100232,x100234,x100233)),f629(x100231,x100232,x100234,x100233))),x100234)) % 169.26/169.10 [7566]~P4(x75661)+~P1(f317(f317(f224(x75661),x75663),x75664))+~P1(f317(f317(f224(x75661),x75662),x75664))+P1(f317(f317(f224(x75661),f317(f317(f223(x75661),x75662),x75663)),x75664)) % 169.26/169.10 [7569]~P100(x75691)+~P1(f317(f317(f224(x75691),x75693),x75694))+~P1(f317(f317(f224(x75691),x75692),x75694))+P1(f317(f317(f224(x75691),f317(f317(f91(x75691),x75692),x75693)),x75694)) % 169.26/169.10 [7570]~P4(x75701)+~P1(f317(f317(f225(x75701),x75703),x75704))+~P1(f317(f317(f225(x75701),x75702),x75704))+P1(f317(f317(f225(x75701),f317(f317(f223(x75701),x75702),x75703)),x75704)) % 169.26/169.10 [7809]~P6(x78091)+E(f317(f317(f74(x78091),f317(f317(f30(x78091),x78092),x78093)),f317(f317(f30(x78091),x78094),x78093)),f317(f317(f30(x78091),f317(f317(f74(x78091),x78092),x78094)),x78093))+~P1(f317(f317(f277(x78091),x78093),x78094))+~P1(f317(f317(f277(x78091),x78093),x78092)) % 169.26/169.10 [7892]~E(x78921,x78923)+E(f129(a897,f317(f292(a897,x78921),x78922)),f317(f317(f141(a897),x78923),x78924))+~E(f129(a897,f317(f292(a897,f317(f317(f74(a897),x78921),f72(a897))),x78922)),x78924)+~P1(f317(f317(f225(a897),x78921),x78922)) % 169.26/169.10 [7900]~P4(x79001)+P1(f317(f317(f224(x79001),x79002),x79003))+P1(f317(f317(f224(x79001),x79004),x79003))+~P1(f317(f317(f224(x79001),f317(f317(f228(x79001),x79004),x79002)),x79003)) % 169.26/169.10 [7901]~P4(x79011)+P1(f317(f317(f225(x79011),x79012),x79013))+P1(f317(f317(f225(x79011),x79014),x79013))+~P1(f317(f317(f225(x79011),f317(f317(f228(x79011),x79014),x79012)),x79013)) % 169.26/169.10 [8177]~P66(x81771)+~P1(f317(f317(f225(x81771),f2(x81771)),x81773))+~P1(f317(f317(f224(x81771),x81772),f317(f317(f281(x81771),x81774),x81773)))+P1(f317(f317(f224(x81771),f317(f317(f75(x81771),x81772),x81773)),x81774)) % 169.26/169.10 [8178]~P67(x81781)+~P1(f317(f317(f225(x81781),f2(x81781)),x81783))+~P1(f317(f317(f224(x81781),x81782),f317(f317(f281(x81781),x81784),x81783)))+P1(f317(f317(f224(x81781),f317(f317(f75(x81781),x81782),x81783)),x81784)) % 169.26/169.10 [8179]~P66(x81791)+~P1(f317(f317(f225(x81791),f2(x81791)),x81793))+~P1(f317(f317(f224(x81791),x81792),f317(f317(f75(x81791),x81794),x81793)))+P1(f317(f317(f224(x81791),f317(f317(f281(x81791),x81792),x81793)),x81794)) % 169.26/169.10 [8181]~P67(x81811)+~P1(f317(f317(f225(x81811),f2(x81811)),x81813))+~P1(f317(f317(f224(x81811),x81812),f317(f317(f75(x81811),x81814),x81813)))+P1(f317(f317(f224(x81811),f317(f317(f281(x81811),x81812),x81813)),x81814)) % 169.26/169.10 [8182]~P66(x81821)+~P1(f317(f317(f225(x81821),f2(x81821)),x81823))+~P1(f317(f317(f225(x81821),x81822),f317(f317(f281(x81821),x81824),x81823)))+P1(f317(f317(f225(x81821),f317(f317(f75(x81821),x81822),x81823)),x81824)) % 169.26/169.10 [8183]~P67(x81831)+~P1(f317(f317(f225(x81831),f2(x81831)),x81833))+~P1(f317(f317(f225(x81831),x81832),f317(f317(f281(x81831),x81834),x81833)))+P1(f317(f317(f225(x81831),f317(f317(f75(x81831),x81832),x81833)),x81834)) % 169.26/169.10 [8184]~P66(x81841)+~P1(f317(f317(f225(x81841),f2(x81841)),x81843))+~P1(f317(f317(f225(x81841),x81842),f317(f317(f75(x81841),x81844),x81843)))+P1(f317(f317(f225(x81841),f317(f317(f281(x81841),x81842),x81843)),x81844)) % 169.26/169.10 [8186]~P67(x81861)+~P1(f317(f317(f225(x81861),f2(x81861)),x81863))+~P1(f317(f317(f225(x81861),x81862),f317(f317(f75(x81861),x81864),x81863)))+P1(f317(f317(f225(x81861),f317(f317(f281(x81861),x81862),x81863)),x81864)) % 169.26/169.10 [8315]~P66(x83151)+~P1(f317(f317(f225(x83151),f2(x83151)),x83154))+P1(f317(f317(f224(x83151),x83152),f317(f317(f75(x83151),x83153),x83154)))+~P1(f317(f317(f224(x83151),f317(f317(f281(x83151),x83152),x83154)),x83153)) % 169.26/169.10 [8316]~P66(x83161)+~P1(f317(f317(f225(x83161),f2(x83161)),x83164))+P1(f317(f317(f224(x83161),x83162),f317(f317(f281(x83161),x83163),x83164)))+~P1(f317(f317(f224(x83161),f317(f317(f75(x83161),x83162),x83164)),x83163)) % 169.26/169.10 [8318]~P67(x83181)+~P1(f317(f317(f225(x83181),f2(x83181)),x83184))+P1(f317(f317(f224(x83181),x83182),f317(f317(f75(x83181),x83183),x83184)))+~P1(f317(f317(f224(x83181),f317(f317(f281(x83181),x83182),x83184)),x83183)) % 169.26/169.10 [8319]~P67(x83191)+~P1(f317(f317(f225(x83191),f2(x83191)),x83194))+P1(f317(f317(f224(x83191),x83192),f317(f317(f281(x83191),x83193),x83194)))+~P1(f317(f317(f224(x83191),f317(f317(f75(x83191),x83192),x83194)),x83193)) % 169.26/169.10 [8320]~P66(x83201)+~P1(f317(f317(f225(x83201),f2(x83201)),x83204))+P1(f317(f317(f225(x83201),x83202),f317(f317(f75(x83201),x83203),x83204)))+~P1(f317(f317(f225(x83201),f317(f317(f281(x83201),x83202),x83204)),x83203)) % 169.26/169.10 [8321]~P66(x83211)+~P1(f317(f317(f225(x83211),f2(x83211)),x83214))+P1(f317(f317(f225(x83211),x83212),f317(f317(f281(x83211),x83213),x83214)))+~P1(f317(f317(f225(x83211),f317(f317(f75(x83211),x83212),x83214)),x83213)) % 169.26/169.10 [8323]~P67(x83231)+~P1(f317(f317(f225(x83231),f2(x83231)),x83234))+P1(f317(f317(f225(x83231),x83232),f317(f317(f75(x83231),x83233),x83234)))+~P1(f317(f317(f225(x83231),f317(f317(f281(x83231),x83232),x83234)),x83233)) % 169.26/169.10 [8324]~P67(x83241)+~P1(f317(f317(f225(x83241),f2(x83241)),x83244))+P1(f317(f317(f225(x83241),x83242),f317(f317(f281(x83241),x83243),x83244)))+~P1(f317(f317(f225(x83241),f317(f317(f75(x83241),x83242),x83244)),x83243)) % 169.26/169.10 [8485]~P67(x84851)+~P1(f317(f317(f225(x84851),x84853),f2(x84851)))+~P1(f317(f317(f224(x84851),f317(f317(f281(x84851),x84854),x84853)),x84852))+P1(f317(f317(f224(x84851),f317(f317(f75(x84851),x84852),x84853)),x84854)) % 169.26/169.10 [8486]~P67(x84861)+~P1(f317(f317(f225(x84861),x84863),f2(x84861)))+~P1(f317(f317(f224(x84861),f317(f317(f75(x84861),x84864),x84863)),x84862))+P1(f317(f317(f224(x84861),f317(f317(f281(x84861),x84862),x84863)),x84864)) % 169.26/169.10 [8487]~P67(x84871)+~P1(f317(f317(f225(x84871),x84873),f2(x84871)))+~P1(f317(f317(f225(x84871),f317(f317(f281(x84871),x84874),x84873)),x84872))+P1(f317(f317(f225(x84871),f317(f317(f75(x84871),x84872),x84873)),x84874)) % 169.26/169.10 [8488]~P67(x84881)+~P1(f317(f317(f225(x84881),x84883),f2(x84881)))+~P1(f317(f317(f225(x84881),f317(f317(f75(x84881),x84884),x84883)),x84882))+P1(f317(f317(f225(x84881),f317(f317(f281(x84881),x84882),x84883)),x84884)) % 169.26/169.10 [8500]~P1(f317(x85001,x85004))+~P1(f317(f317(f225(a897),x85002),f317(f317(f75(a897),x85003),f317(a102,x85004))))+P1(f317(x85001,f317(f317(f30(a897),x85002),x85003)))+~P1(f317(f317(f224(a897),f317(f317(f75(a897),x85003),x85004)),x85002)) % 169.26/169.10 [8709]~P4(x87091)+~P1(f317(f28(x87091),x87094))+~P1(f317(f317(f319(x87091),x87092),x87094))+P1(f317(f317(f224(x87091),f317(f317(f223(x87091),x87092),x87093)),f317(f317(f58(x87091,x87091,f223(x87091)),x87093),x87094))) % 169.26/169.10 [8710]~P100(x87101)+~P1(f317(f28(x87101),x87104))+~P1(f317(f317(f319(x87101),x87102),x87104))+P1(f317(f317(f224(x87101),f317(f317(f91(x87101),x87102),x87103)),f317(f317(f58(x87101,x87101,f91(x87101)),x87103),x87104))) % 169.26/169.10 [8863]~P1(f317(f28(x88631),x88632))+E(f317(f29(x88631),f317(f317(f23(f906(x88631,a894)),x88632),f317(f317(f299(x88631),x88633),x88634))),f317(f317(f23(a897),f317(f29(x88631),f317(f317(f23(f906(x88631,a894)),x88632),x88634))),f72(a897)))+P1(f317(f317(f319(x88631),x88633),x88634))+~P1(f317(f317(f319(x88631),x88633),x88632)) % 169.26/169.10 [8940]E(f317(f317(f74(a1),f376(x89401,x89402,x89403,x89404)),f377(x89401,x89402,x89403,x89404)),x89404)+~P1(f317(f317(f225(a1),f2(a1)),x89403))+~P1(f317(f317(f224(a1),x89404),x89401))+P1(f317(f317(f224(a1),f317(f317(f23(a1),x89404),x89403)),x89401)) % 169.26/169.10 [8941]E(f317(f317(f74(a1),f389(x89411,x89412,x89413,x89414)),f390(x89411,x89412,x89413,x89414)),x89414)+~P1(f317(f317(f225(a1),f2(a1)),x89413))+~P1(f317(f317(f225(a1),x89414),x89411))+P1(f317(f317(f225(a1),f317(f317(f23(a1),x89414),x89413)),x89411)) % 169.26/169.10 [9146]~P1(f317(f317(f225(a1),f2(a1)),x91463))+~P1(f317(f317(f224(a1),x91464),x91461))+P1(f317(f317(f319(a1),f376(x91461,x91462,x91463,x91464)),x91462))+P1(f317(f317(f224(a1),f317(f317(f23(a1),x91464),x91463)),x91461)) % 169.26/169.10 [9147]~P1(f317(f317(f225(a1),f2(a1)),x91473))+~P1(f317(f317(f225(a1),x91474),x91471))+P1(f317(f317(f319(a1),f389(x91471,x91472,x91473,x91474)),x91472))+P1(f317(f317(f225(a1),f317(f317(f23(a1),x91474),x91473)),x91471)) % 169.26/169.10 [9233]~P1(f317(f317(f225(a1),f2(a1)),x92332))+~P1(f317(f317(f224(a1),x92331),x92333))+P1(f317(f317(f319(a1),f377(x92333,x92334,x92332,x92331)),f293(a1,f72(a1),x92332)))+P1(f317(f317(f224(a1),f317(f317(f23(a1),x92331),x92332)),x92333)) % 169.26/169.10 [9234]~P1(f317(f317(f225(a1),f2(a1)),x92342))+~P1(f317(f317(f225(a1),x92341),x92343))+P1(f317(f317(f319(a1),f390(x92343,x92344,x92342,x92341)),f293(a1,f72(a1),x92342)))+P1(f317(f317(f225(a1),f317(f317(f23(a1),x92341),x92342)),x92343)) % 169.26/169.10 [9252]~P1(f317(f317(f224(a1),f2(a1)),x92524))+~P1(f317(f317(f225(a1),f2(a1)),x92523))+~P1(f317(f317(f225(a1),x92524),x92521))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x92521),f40(a1,x92522,x92523))),x92524))) % 169.26/169.10 [9281]E(x92811,x92812)+~P41(x92813,x92814)+~P1(f317(f317(f319(f905(x92813,x92813)),f317(f317(f242(x92813,x92813),x92812),x92811)),x92814))+~P1(f317(f317(f319(f905(x92813,x92813)),f317(f317(f242(x92813,x92813),x92811),x92812)),x92814)) % 169.26/169.10 [9314]~P4(x93141)+~P1(f317(f28(x93141),x93144))+~P1(f317(f317(f224(x93141),x93142),f604(x93143,x93142,x93144,x93141)))+P1(f317(f317(f224(x93141),f317(f317(f228(x93141),x93142),x93143)),f317(f317(f58(x93141,x93141,f228(x93141)),x93143),x93144))) % 169.26/169.10 [9315]~P106(x93151)+~P1(f317(f28(x93151),x93154))+~P1(f317(f317(f224(x93151),x93152),f608(x93153,x93152,x93154,x93151)))+P1(f317(f317(f224(x93151),f317(f317(f92(x93151),x93152),x93153)),f317(f317(f58(x93151,x93151,f92(x93151)),x93153),x93154))) % 169.26/169.10 [9332]~P1(f317(f317(f224(a1),x93324),f2(a1)))+~P1(f317(f317(f225(a1),f2(a1)),x93322))+~P1(f317(f317(f225(a1),x93321),x93324))+P1(f317(f317(f225(a1),f317(f317(f75(a1),x93321),x93322)),f317(f317(f74(a1),f317(f317(f75(a1),x93321),f40(a1,x93323,x93322))),x93324))) % 169.26/169.10 [9358]P1(f317(f28(x93581),x93582))+~P1(f317(f28(x93581),x93583))+~P1(f317(f317(f319(f906(x93581,a894)),x93582),f317(f317(f55(x93581),x93583),x93584)))+~P1(f317(f317(f224(f906(f905(x93581,x93581),a894)),x93584),f317(f317(f244(x93581,x93581),x93583),f317(f16(f906(x93581,a894),x93581),x93583)))) % 169.26/169.10 [9383]~P4(x93831)+~P1(f317(f28(x93831),x93834))+P1(f317(f317(f319(x93831),f604(x93832,x93833,x93834,x93831)),x93834))+P1(f317(f317(f224(x93831),f317(f317(f228(x93831),x93833),x93832)),f317(f317(f58(x93831,x93831,f228(x93831)),x93832),x93834))) % 169.26/169.10 [9384]~P106(x93841)+~P1(f317(f28(x93841),x93844))+P1(f317(f317(f319(x93841),f608(x93842,x93843,x93844,x93841)),x93844))+P1(f317(f317(f224(x93841),f317(f317(f92(x93841),x93843),x93842)),f317(f317(f58(x93841,x93841,f92(x93841)),x93842),x93844))) % 169.26/169.10 [9799]~P1(f317(f28(x97992),x97994))+~P1(f317(f28(x97991),x97993))+~P1(f317(f317(f224(a897),f317(f29(x97992),x97994)),f317(f29(x97991),x97993)))+P1(f317(f317(f224(f906(x97991,a894)),f317(f300(x97992,x97991,f331(x97993,x97991,x97994,x97992)),x97994)),x97993)) % 169.26/169.10 [9435]~P1(f317(f317(f319(x94351),x94352),x94354))+P1(f317(f317(f319(x94351),x94352),x94353))+~P1(f317(f317(f225(f906(x94351,a894)),x94354),f317(f317(f299(x94351),x94352),x94353)))+P1(f317(f317(f225(f906(x94351,a894)),f317(f317(f23(f906(x94351,a894)),x94354),f317(f317(f299(x94351),x94352),f178(f906(x94351,a894))))),x94353)) % 169.26/169.10 [9612]~P1(f317(f317(f319(x96121),x96122),x96124))+P1(f317(f317(f319(x96121),x96122),x96123))+P1(f317(f317(f225(f906(x96121,a894)),x96124),f317(f317(f299(x96121),x96122),x96123)))+~P1(f317(f317(f225(f906(x96121,a894)),f317(f317(f23(f906(x96121,a894)),x96124),f317(f317(f299(x96121),x96122),f178(f906(x96121,a894))))),x96123)) % 169.26/169.10 [9637]P1(f317(f317(f319(x96371),x96372),x96373))+~P1(f317(f317(f224(f906(x96371,a894)),x96374),x96373))+P1(f317(f317(f225(f906(x96371,a894)),x96374),f317(f317(f299(x96371),x96372),x96373)))+~P1(f317(f317(f225(f906(x96371,a894)),f317(f317(f23(f906(x96371,a894)),x96374),f317(f317(f299(x96371),x96372),f178(f906(x96371,a894))))),x96373)) % 169.26/169.10 [9642]~P1(f317(f317(f319(x96421),x96423),x96422))+~P1(f317(f317(f225(f906(x96421,a894)),x96422),x96424))+P1(f317(f317(f225(f906(x96421,a894)),x96422),f317(f317(f299(x96421),x96423),x96424)))+~P1(f317(f317(f225(f906(x96421,a894)),f317(f317(f23(f906(x96421,a894)),x96422),f317(f317(f299(x96421),x96423),f178(f906(x96421,a894))))),x96424)) % 169.26/169.10 [9659]~P1(f317(f317(f224(f906(x96591,a894)),x96592),x96594))+~P1(f317(f317(f225(f906(x96591,a894)),x96592),x96594))+P1(f317(f317(f225(f906(x96591,a894)),x96592),f317(f317(f299(x96591),x96593),x96594)))+~P1(f317(f317(f225(f906(x96591,a894)),f317(f317(f23(f906(x96591,a894)),x96592),f317(f317(f299(x96591),x96593),f178(f906(x96591,a894))))),x96594)) % 169.26/169.10 [9704]~P109(x97042)+~P63(x97041)+~P1(f317(f317(f224(f906(x97041,x97042)),x97043),x97044))+P1(f317(f52(x97041),f317(f317(f18(x97041,x97042,a894),f317(f317(f8(x97042,f906(x97042,a894),x97041),f224(x97042)),x97043)),x97044))) % 169.26/169.10 [9847]~P109(x98472)+~P63(x98471)+P1(f317(f317(f224(f906(x98471,x98472)),x98473),x98474))+~P1(f317(f52(x98471),f317(f317(f18(x98471,x98472,a894),f317(f317(f8(x98472,f906(x98472,a894),x98471),f224(x98472)),x98473)),x98474))) % 169.26/169.10 [10013]E(f317(f317(f154(x100131),f317(f317(f154(f898(x100131)),f169(x100131,x100132)),x100133)),x100134),f317(f317(f154(x100131),f317(f317(f154(f898(x100131)),x100132),x100134)),x100133))+~P1(f317(f317(f225(a897),x100133),f317(f179(f898(f898(x100131))),f169(x100131,x100132))))+~P16(a897,f317(f158(a897),f317(f317(f144(f898(x100131),a897),f179(f898(x100131))),x100132)))+~P1(f317(f317(f225(a897),x100134),f317(f179(f898(f898(x100131))),f317(f126(f898(x100131),f317(f317(f8(a897,a894,f898(x100131)),f317(f225(a897),x100133)),f179(f898(x100131)))),x100132)))) % 169.26/169.10 [10034]~P1(f317(f317(f319(f905(a897,a897)),x100344),x100341))+~P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),x100344),x100342)),a26))+~P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),x100341),x100343)),a63))+P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),x100341),f317(f317(f299(f905(a897,a897)),x100342),x100343))),a63)) % 169.26/169.10 [10035]~P1(f317(f317(f319(f905(a897,a897)),x100354),x100351))+~P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),x100354),x100352)),a65))+~P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),x100351),x100353)),a66))+P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),x100351),f317(f317(f299(f905(a897,a897)),x100352),x100353))),a66)) % 169.26/169.10 [9925]~P109(x99252)+~P63(x99251)+~P1(f317(f317(f225(f906(x99251,x99252)),x99253),x99254))+P1(f317(f51(x99251),f317(f317(f8(a894,a894,x99251),a312),f317(f317(f18(x99251,x99252,a894),f317(f317(f8(x99252,f906(x99252,a894),x99251),a314),x99253)),x99254)))) % 169.26/169.10 [10046]~P1(f317(f317(f319(f905(a897,a897)),x100464),x100463))+~P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),x100461),x100464)),a26))+~P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),x100462),x100463)),a27))+P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),f317(f317(f299(f905(a897,a897)),x100461),x100462)),x100463)),a27)) % 169.26/169.10 [10047]~P1(f317(f317(f319(f905(a897,a897)),x100474),x100473))+~P1(f317(f317(f319(f905(f905(a897,a897),f905(a897,a897))),f317(f317(f242(f905(a897,a897),f905(a897,a897)),x100471),x100474)),a65))+~P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),x100472),x100473)),a64))+P1(f317(f317(f319(f905(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894))),f317(f317(f242(f906(f905(a897,a897),a894),f906(f905(a897,a897),a894)),f317(f317(f299(f905(a897,a897)),x100471),x100472)),x100473)),a64)) % 169.26/169.10 [6126]~P10(x61264,x61261)+~P1(f317(f317(x61261,x61262),x61265))+P1(f317(f317(x61261,x61262),x61263))+~P1(f317(f317(x61261,x61265),x61263)) % 169.26/169.10 [6127]~P52(x61274,x61271)+~P1(f317(f317(x61271,x61272),x61275))+P1(f317(f317(x61271,x61272),x61273))+~P1(f317(f317(x61271,x61275),x61273)) % 169.26/169.10 [6128]~P18(x61284,x61281)+~P1(f317(f317(x61281,x61282),x61285))+P1(f317(f317(x61281,x61282),x61283))+~P1(f317(f317(x61281,x61285),x61283)) % 169.26/169.10 [8848]~P10(x88484,x88483)+~P1(f317(x88481,x88485))+P1(f317(x88482,f811(x88482,x88481,x88483,x88484)))+P1(f317(x88481,f810(x88482,x88481,x88483,x88484))) % 169.26/169.10 [9082]~P10(x90824,x90823)+~P1(f317(x90822,x90825))+~P1(f317(x90821,f810(x90821,x90822,x90823,x90824)))+P1(f317(x90821,f811(x90821,x90822,x90823,x90824))) % 169.26/169.10 [9265]~P10(x92654,x92653)+~P1(f317(x92651,x92655))+P1(f317(f317(f319(x92654),f811(x92652,x92651,x92653,x92654)),f260(x92654,x92653)))+P1(f317(x92651,f810(x92652,x92651,x92653,x92654))) % 169.26/169.10 [9392]~P10(x93921,x93924)+~P1(f317(x93923,x93925))+~P1(f317(x93922,f810(x93922,x93923,x93924,x93921)))+P1(f317(f317(f319(x93921),f811(x93922,x93923,x93924,x93921)),f260(x93921,x93924))) % 169.26/169.10 [9693]~P40(x96931,x96934)+P1(f317(f317(f319(f905(f898(x96931),f898(x96931))),f317(f317(f242(f898(x96931),f898(x96931)),x96932),x96933)),f137(x96931,x96934)))+~P1(f317(f317(f319(f905(f898(x96931),f898(x96931))),f317(f317(f242(f898(x96931),f898(x96931)),x96932),x96935)),f137(x96931,x96934)))+~P1(f317(f317(f319(f905(f898(x96931),f898(x96931))),f317(f317(f242(f898(x96931),f898(x96931)),x96935),x96933)),f137(x96931,x96934))) % 169.26/169.10 [5351]~P70(x53515)+E(x53511,x53512)+~E(x53513,x53514)+~E(f317(f317(f23(x53515),x53513),x53514),f317(f317(f23(x53515),x53511),x53512)) % 169.26/169.10 [6242]~P20(x62425,x62421,x62423)+E(f317(f317(x62421,x62422),f317(x62423,x62424)),f317(x62423,x62424))+~P1(f317(f28(x62425),x62424))+~P1(f317(f317(f319(x62425),x62422),x62424)) % 169.26/169.10 [6439]~P81(x64391)+~E(f317(f317(f23(x64391),x64394),x64395),f317(f317(f23(x64391),x64392),x64393))+~P1(f317(f317(f224(x64391),x64394),x64395))+P1(f317(f317(f224(x64391),x64392),x64393)) % 169.26/169.10 [6441]~P81(x64411)+~E(f317(f317(f23(x64411),x64414),x64415),f317(f317(f23(x64411),x64412),x64413))+~P1(f317(f317(f225(x64411),x64414),x64415))+P1(f317(f317(f225(x64411),x64412),x64413)) % 169.26/169.10 [7433]~E(x74332,f317(f317(f141(x74331),x74334),x74335))+P1(f317(f317(f319(f898(x74331)),x74332),f151(x74331,x74333)))+~P1(f317(f317(f319(f898(x74331)),x74335),f151(x74331,x74333)))+~P1(f317(f317(f319(x74331),x74334),x74333)) % 169.26/169.10 [7840]~E(f317(f179(f898(x78401)),x78403),f317(f179(f898(x78402)),x78404))+~E(f317(f317(f144(f905(x78401,x78402),x78402),f246(x78401,x78402)),x78405),x78404)+~E(f317(f317(f144(f905(x78401,x78402),x78401),f241(x78401,x78402)),x78405),x78403)+E(f317(f317(f171(x78401,x78402),x78403),x78404),x78405) % 169.26/169.10 [8173]~P109(x81731)+P1(f317(f317(f225(f906(x81731,a894)),f293(x81731,x81732,x81733)),f293(x81731,x81734,x81735)))+~P1(f317(f317(f224(x81731),x81734),x81735))+P1(f317(f317(f224(x81731),x81732),x81733)) % 169.26/169.10 [8273]~P109(x82731)+P1(f317(f317(f224(f906(x82731,a894)),f293(x82731,x82732,x82733)),f293(x82731,x82734,x82735)))+~P1(f317(f317(f224(x82731),x82733),x82735))+~P1(f317(f317(f224(x82731),x82734),x82732)) % 169.26/169.10 [8392]~P4(x83921)+P1(f317(f317(f224(x83921),x83922),x83923))+P1(f317(f317(f224(x83921),x83924),x83923))+~P1(f317(f317(f224(f906(x83921,a894)),f317(f292(x83921,x83923),x83922)),f317(f292(x83921,x83924),x83925))) % 169.26/169.10 [8393]~P4(x83931)+P1(f317(f317(f224(x83931),x83932),x83933))+P1(f317(f317(f224(x83931),x83932),x83934))+~P1(f317(f317(f224(f906(x83931,a894)),f317(f292(x83931,x83933),x83932)),f317(f292(x83931,x83935),x83934))) % 169.26/169.10 [8626]~P109(x86261)+~P1(f317(f317(f224(f906(x86261,a894)),f293(x86261,x86264,x86262)),f293(x86261,x86265,x86263)))+P1(f317(f317(f224(x86261),x86262),x86263))+~P1(f317(f317(f224(x86261),x86264),x86262)) % 169.26/169.10 [8627]~P109(x86271)+~P1(f317(f317(f225(f906(x86271,a894)),f293(x86271,x86274,x86272)),f293(x86271,x86275,x86273)))+P1(f317(f317(f224(x86271),x86272),x86273))+~P1(f317(f317(f224(x86271),x86274),x86272)) % 169.26/169.10 [8628]~P109(x86281)+~P1(f317(f317(f224(f906(x86281,a894)),f293(x86281,x86283,x86284)),f293(x86281,x86282,x86285)))+P1(f317(f317(f224(x86281),x86282),x86283))+~P1(f317(f317(f224(x86281),x86283),x86284)) % 169.26/169.10 [8629]~P109(x86291)+~P1(f317(f317(f225(f906(x86291,a894)),f293(x86291,x86293,x86294)),f293(x86291,x86292,x86295)))+P1(f317(f317(f224(x86291),x86292),x86293))+~P1(f317(f317(f224(x86291),x86293),x86294)) % 169.26/169.10 [6125]~P20(x61252,x61255,x61253)+E(x61251,f178(f906(x61252,a894)))+~P1(f317(f28(x61252),x61251))+E(f317(x61253,f317(f317(f299(x61252),x61254),x61251)),f317(f317(x61255,x61254),f317(x61253,x61251))) % 169.26/169.10 [6922]~E(x69221,x69222)+~E(f317(f317(f92(f906(x69223,a894)),x69224),x69225),f178(f906(x69223,a894)))+~P1(f317(f317(f319(x69223),x69222),x69225))+~P1(f317(f317(f319(x69223),x69221),x69224)) % 169.26/169.10 [7005]~P21(x70052,x70055,x70051)+~P1(f317(f28(x70052),x70054))+E(f317(x70051,f317(f317(f299(x70052),x70053),x70054)),f317(f317(f58(x70052,x70052,x70055),x70053),x70054))+P1(f317(f317(f319(x70052),x70053),x70054)) % 169.26/169.10 [7074]~P79(x70742)+~P1(f317(f28(x70741),x70745))+E(f317(f317(f9(x70741,x70742),x70743),f317(f317(f299(x70741),x70744),x70745)),f317(f317(f75(x70742),f317(x70743,x70744)),f317(f317(f9(x70741,x70742),x70743),x70745)))+P1(f317(f317(f319(x70741),x70744),x70745)) % 169.26/169.10 [7076]~P76(x70762)+~P1(f317(f28(x70761),x70765))+E(f317(f317(f6(x70761,x70762),x70763),f317(f317(f299(x70761),x70764),x70765)),f317(f317(f74(x70762),f317(x70763,x70764)),f317(f317(f6(x70761,x70762),x70763),x70765)))+P1(f317(f317(f319(x70761),x70764),x70765)) % 169.26/169.10 [7480]~P112(x74801)+~P1(f317(f28(x74804),x74805))+~P1(f317(f317(f319(x74804),x74803),x74805))+P1(f317(f317(f277(x74801),f317(x74802,x74803)),f317(f317(f9(x74804,x74801),x74802),x74805))) % 169.26/169.10 [7579]~P21(x75792,x75795,x75791)+~P1(f317(f28(x75792),x75794))+E(f317(x75791,f317(f317(f299(x75792),x75793),x75794)),x75793)+~E(f317(f317(f23(f906(x75792,a894)),x75794),f317(f317(f299(x75792),x75793),f178(f906(x75792,a894)))),f178(f906(x75792,a894))) % 169.26/169.10 [7913]~P112(x79131)+~P1(f317(f317(f277(x79131),x79132),x79134))+~P1(f317(f317(f224(a897),x79133),x79135))+P1(f317(f317(f277(x79131),f317(f317(f234(x79131),x79132),x79133)),f317(f317(f234(x79131),x79134),x79135))) % 169.26/169.10 [7941]~P6(x79411)+E(f317(f317(f30(x79411),f317(f317(f75(x79411),x79412),x79413)),f317(f317(f75(x79411),x79414),x79415)),f317(f317(f75(x79411),f317(f317(f30(x79411),x79412),x79414)),f317(f317(f30(x79411),x79413),x79415)))+~P1(f317(f317(f277(x79411),x79415),x79413))+~P1(f317(f317(f277(x79411),x79414),x79412)) % 169.26/169.10 [7945]~P88(x79451)+~P1(f317(f317(f224(x79451),x79453),x79455))+~P1(f317(f317(f224(x79451),x79452),x79454))+P1(f317(f317(f224(x79451),f317(f317(f74(x79451),x79452),x79453)),f317(f317(f74(x79451),x79454),x79455))) % 169.26/169.10 [7946]~P4(x79461)+~P1(f317(f317(f224(x79461),x79463),x79465))+~P1(f317(f317(f224(x79461),x79462),x79464))+P1(f317(f317(f224(x79461),f317(f317(f228(x79461),x79462),x79463)),f317(f317(f228(x79461),x79464),x79465))) % 169.26/169.10 [7947]~P4(x79471)+~P1(f317(f317(f224(x79471),x79473),x79475))+~P1(f317(f317(f224(x79471),x79472),x79474))+P1(f317(f317(f224(x79471),f317(f317(f223(x79471),x79472),x79473)),f317(f317(f223(x79471),x79474),x79475))) % 169.26/169.10 [7948]~P100(x79481)+~P1(f317(f317(f224(x79481),x79483),x79485))+~P1(f317(f317(f224(x79481),x79482),x79484))+P1(f317(f317(f224(x79481),f317(f317(f91(x79481),x79482),x79483)),f317(f317(f91(x79481),x79484),x79485))) % 169.26/169.10 [7949]~P106(x79491)+~P1(f317(f317(f224(x79491),x79493),x79495))+~P1(f317(f317(f224(x79491),x79492),x79494))+P1(f317(f317(f224(x79491),f317(f317(f92(x79491),x79492),x79493)),f317(f317(f92(x79491),x79494),x79495))) % 169.26/169.10 [7950]~P90(x79501)+~P1(f317(f317(f224(x79501),x79503),x79505))+~P1(f317(f317(f225(x79501),x79502),x79504))+P1(f317(f317(f225(x79501),f317(f317(f74(x79501),x79502),x79503)),f317(f317(f74(x79501),x79504),x79505))) % 169.26/169.10 [7951]~P90(x79511)+~P1(f317(f317(f224(x79511),x79512),x79514))+~P1(f317(f317(f225(x79511),x79513),x79515))+P1(f317(f317(f225(x79511),f317(f317(f74(x79511),x79512),x79513)),f317(f317(f74(x79511),x79514),x79515))) % 169.26/169.10 [7952]~P90(x79521)+~P1(f317(f317(f225(x79521),x79523),x79525))+~P1(f317(f317(f225(x79521),x79522),x79524))+P1(f317(f317(f225(x79521),f317(f317(f74(x79521),x79522),x79523)),f317(f317(f74(x79521),x79524),x79525))) % 169.26/169.10 [7953]~P112(x79531)+~P1(f317(f317(f277(x79531),x79533),x79535))+~P1(f317(f317(f277(x79531),x79532),x79534))+P1(f317(f317(f277(x79531),f317(f317(f75(x79531),x79532),x79533)),f317(f317(f75(x79531),x79534),x79535))) % 169.26/169.10 [8089]~P146(x80895)+E(x80891,x80892)+E(x80893,x80894)+~E(f317(f317(f74(x80895),f317(f317(f75(x80895),x80893),x80891)),f317(f317(f75(x80895),x80894),x80892)),f317(f317(f74(x80895),f317(f317(f75(x80895),x80893),x80892)),f317(f317(f75(x80895),x80894),x80891))) % 169.26/169.10 [8293]~P4(x82934)+~P1(f317(f127(x82931),x82933))+P1(f317(f317(f319(x82931),x82932),f317(f162(x82931),x82933)))+P1(f317(f127(x82931),f317(f317(f138(x82931,x82934,x82935),x82932),x82933))) % 169.26/169.10 [8439]~P70(x84391)+E(f317(f317(f23(x84391),f317(f317(f6(a897,x84391),x84392),f317(f292(a897,x84393),x84394))),f317(f317(f6(a897,x84391),x84392),f317(f292(a897,x84393),x84395))),f317(f317(f6(a897,x84391),x84392),f317(f292(a897,x84395),x84394)))+~P1(f317(f317(f224(a897),x84395),x84394))+~P1(f317(f317(f224(a897),x84393),x84395)) % 169.26/169.10 [8440]~P76(x84401)+E(f317(f317(f74(x84401),f317(f317(f6(a897,x84401),x84402),f317(f292(a897,x84403),x84404))),f317(f317(f6(a897,x84401),x84402),f317(f292(a897,x84404),x84405))),f317(f317(f6(a897,x84401),x84402),f317(f292(a897,x84403),x84405)))+~P1(f317(f317(f224(a897),x84404),x84405))+~P1(f317(f317(f224(a897),x84403),x84404)) % 169.26/169.10 [8769]~P65(x87692)+E(x87691,f2(x87692))+E(x87693,f2(x87692))+E(f317(f317(f281(x87692),f317(f317(f23(x87692),f317(f317(f75(x87692),x87694),x87691)),f317(f317(f75(x87692),x87695),x87693))),f317(f317(f75(x87692),x87693),x87691)),f317(f317(f23(x87692),f317(f317(f281(x87692),x87694),x87693)),f317(f317(f281(x87692),x87695),x87691))) % 169.26/169.10 [8770]~P65(x87702)+E(x87701,f2(x87702))+E(x87703,f2(x87702))+E(f317(f317(f281(x87702),f317(f317(f74(x87702),f317(f317(f75(x87702),x87704),x87701)),f317(f317(f75(x87702),x87705),x87703))),f317(f317(f75(x87702),x87703),x87701)),f317(f317(f74(x87702),f317(f317(f281(x87702),x87704),x87703)),f317(f317(f281(x87702),x87705),x87701))) % 169.26/169.10 [8779]~E(x87792,f317(x87793,x87791))+E(x87791,f453(x87792,x87793,x87794,x87795))+~P27(x87795,x87794,x87793,f232(f906(x87795,a894)))+~P1(f317(f317(f319(x87794),x87792),f317(f300(x87795,x87794,x87793),f232(f906(x87795,a894))))) % 169.26/169.10 [8996]~P111(x89961)+~P1(f317(f317(f225(x89961),f317(f70(x89961),x89962)),x89964))+P1(f317(f317(f225(x89961),f317(f317(f75(x89961),f317(f70(x89961),x89962)),f317(f70(x89961),x89963))),f317(f317(f75(x89961),x89964),x89965)))+~P1(f317(f317(f225(x89961),f317(f70(x89961),x89963)),x89965)) % 169.26/169.10 [9107]~P27(x91071,x91073,x91075,x91072)+~P1(f317(f28(x91073),x91074))+P1(f317(f317(f224(a897),f317(f29(x91071),x91072)),f317(f29(x91073),x91074)))+~P1(f317(f317(f224(f906(x91073,a894)),f317(f300(x91071,x91073,x91075),x91072)),x91074)) % 169.26/169.10 [9175]~P79(x91752)+~P27(x91751,x91751,x91754,x91755)+~P1(f317(f28(x91751),x91755))+E(f317(f317(f9(x91751,x91752),f317(f67(x91751,x91752,x91751,x91753),x91754)),x91755),f317(f317(f9(x91751,x91752),x91753),f317(f300(x91751,x91751,x91754),x91755))) % 169.26/169.10 [9176]~P76(x91762)+~P27(x91761,x91761,x91764,x91765)+~P1(f317(f28(x91761),x91765))+E(f317(f317(f6(x91761,x91762),f317(f67(x91761,x91762,x91761,x91763),x91764)),x91765),f317(f317(f6(x91761,x91762),x91763),f317(f300(x91761,x91761,x91764),x91765))) % 169.26/169.10 [9294]~P39(x92941,x92942)+~P1(f317(f317(f319(x92941),x92943),x92944))+~P1(f317(f317(f319(x92941),x92945),x92944))+~P1(f317(f317(f319(f905(x92941,x92941)),f317(f317(f242(x92941,x92941),x92945),f612(x92942,x92941,x92944))),x92942)) % 169.26/169.10 [9331]~P27(x93312,x93313,x93315,x93311)+E(x93311,f178(f906(x93312,a894)))+E(f317(f300(x93313,x93312,f356(x93314,x93313,x93312,x93311)),x93314),x93311)+~P1(f317(f317(f224(f906(x93313,a894)),f317(f300(x93312,x93313,x93315),x93311)),x93314)) % 169.26/169.10 [9828]~P4(x98285)+~P8(x98285)+P1(f317(f317(f319(x98281),f441(x98282,x98283,x98281,x98284,x98285)),x98283))+~P1(f317(f317(f225(x98285),x98284),f317(f317(f34(x98281,x98285),x98283),x98282))) % 169.26/169.10 [9833]~P4(x98331)+~P8(x98331)+P1(f317(f317(f225(x98331),x98332),f317(x98333,f441(x98333,x98334,x98335,x98332,x98331))))+~P1(f317(f317(f225(x98331),x98332),f317(f317(f34(x98335,x98331),x98334),x98333))) % 169.26/169.10 [9912]~P74(x99121)+~P1(f317(f60(x99121,x99121,f75(x99121),x99122,x99123),x99125))+P1(f317(f317(f319(x99121),x99122),x99123))+P1(f317(f60(x99121,x99121,f75(x99121),x99124,f317(f317(f299(x99121),x99122),x99123)),f317(f317(f75(x99121),x99124),x99125))) % 169.26/169.10 [10124]~P79(x101242)+~P1(f317(f28(x101241),x101245))+E(f317(f317(f9(x101241,x101242),f317(f317(f7(x101241,x101242,x101242),f317(f317(f18(x101241,x101242,f906(x101242,x101242)),f317(f317(f8(a894,f906(x101242,f906(x101242,x101242)),x101241),f86(x101242)),f317(a314,x101243))),x101244)),f72(x101242))),x101245),f72(x101242))+P1(f317(f317(f319(x101241),x101243),x101245)) % 169.26/169.10 [10125]~P76(x101252)+~P1(f317(f28(x101251),x101255))+E(f317(f317(f6(x101251,x101252),f317(f317(f7(x101251,x101252,x101252),f317(f317(f18(x101251,x101252,f906(x101252,x101252)),f317(f317(f8(a894,f906(x101252,f906(x101252,x101252)),x101251),f86(x101252)),f317(a314,x101253))),x101254)),f2(x101252))),x101255),f2(x101252))+P1(f317(f317(f319(x101251),x101253),x101255)) % 169.26/169.10 [10126]~P79(x101262)+~P1(f317(f28(x101261),x101265))+E(f317(f317(f9(x101261,x101262),f317(f317(f7(x101261,x101262,x101262),f317(f317(f18(x101261,x101262,f906(x101262,x101262)),f317(f317(f8(a894,f906(x101262,f906(x101262,x101262)),x101261),f86(x101262)),f317(a314,x101263))),x101264)),f72(x101262))),x101265),f317(x101264,x101263))+~P1(f317(f317(f319(x101261),x101263),x101265)) % 169.26/169.10 [10127]~P76(x101272)+~P1(f317(f28(x101271),x101275))+E(f317(f317(f6(x101271,x101272),f317(f317(f7(x101271,x101272,x101272),f317(f317(f18(x101271,x101272,f906(x101272,x101272)),f317(f317(f8(a894,f906(x101272,f906(x101272,x101272)),x101271),f86(x101272)),f317(a314,x101273))),x101274)),f2(x101272))),x101275),f317(x101274,x101273))+~P1(f317(f317(f319(x101271),x101273),x101275)) % 169.26/169.10 [10185]~P79(x101852)+~P1(f317(f28(x101851),x101855))+E(f317(f317(f9(x101851,x101852),f317(f317(f7(x101851,x101852,x101852),f317(f317(f18(x101851,x101852,f906(x101852,x101852)),f317(f317(f8(a894,f906(x101852,f906(x101852,x101852)),x101851),f86(x101852)),f317(f317(f7(x101851,x101851,a894),a314),x101853))),x101854)),f72(x101852))),x101855),f72(x101852))+P1(f317(f317(f319(x101851),x101853),x101855)) % 169.26/169.10 [10186]~P76(x101862)+~P1(f317(f28(x101861),x101865))+E(f317(f317(f6(x101861,x101862),f317(f317(f7(x101861,x101862,x101862),f317(f317(f18(x101861,x101862,f906(x101862,x101862)),f317(f317(f8(a894,f906(x101862,f906(x101862,x101862)),x101861),f86(x101862)),f317(f317(f7(x101861,x101861,a894),a314),x101863))),x101864)),f2(x101862))),x101865),f2(x101862))+P1(f317(f317(f319(x101861),x101863),x101865)) % 169.26/169.10 [10188]~P79(x101882)+~P1(f317(f28(x101881),x101885))+E(f317(f317(f9(x101881,x101882),f317(f317(f7(x101881,x101882,x101882),f317(f317(f18(x101881,x101882,f906(x101882,x101882)),f317(f317(f8(a894,f906(x101882,f906(x101882,x101882)),x101881),f86(x101882)),f317(f317(f7(x101881,x101881,a894),a314),x101883))),x101884)),f72(x101882))),x101885),f317(x101884,x101883))+~P1(f317(f317(f319(x101881),x101883),x101885)) % 169.26/169.10 [10189]~P76(x101892)+~P1(f317(f28(x101891),x101895))+E(f317(f317(f6(x101891,x101892),f317(f317(f7(x101891,x101892,x101892),f317(f317(f18(x101891,x101892,f906(x101892,x101892)),f317(f317(f8(a894,f906(x101892,f906(x101892,x101892)),x101891),f86(x101892)),f317(f317(f7(x101891,x101891,a894),a314),x101893))),x101894)),f2(x101892))),x101895),f317(x101894,x101893))+~P1(f317(f317(f319(x101891),x101893),x101895)) % 169.26/169.10 [7944]~P70(x79442)+~P1(f317(f28(x79441),x79444))+E(f317(f317(f6(x79441,x79442),x79443),f317(f317(f23(f906(x79441,a894)),x79444),f317(f317(f299(x79441),x79445),f178(f906(x79441,a894))))),f317(f317(f6(x79441,x79442),x79443),x79444))+P1(f317(f317(f319(x79441),x79445),x79444)) % 169.26/169.10 [8447]~P132(x84472)+~P1(f317(f28(x84471),x84474))+E(f317(f317(f6(x84471,x84472),x84473),f317(f317(f23(f906(x84471,a894)),x84474),f317(f317(f299(x84471),x84475),f178(f906(x84471,a894))))),f317(f317(f23(x84472),f317(f317(f6(x84471,x84472),x84473),x84474)),f317(x84473,x84475)))+~P1(f317(f317(f319(x84471),x84475),x84474)) % 169.26/169.10 [8448]~P70(x84482)+~P1(f317(f28(x84481),x84484))+E(f317(f317(f6(x84481,x84482),x84483),f317(f317(f23(f906(x84481,a894)),x84484),f317(f317(f299(x84481),x84485),f178(f906(x84481,a894))))),f317(f317(f23(x84482),f317(f317(f6(x84481,x84482),x84483),x84484)),f317(x84483,x84485)))+~P1(f317(f317(f319(x84481),x84485),x84484)) % 169.26/169.10 [8460]~P112(x84601)+~P1(f317(f317(f224(a897),x84603),x84605))+~P1(f317(f317(f277(x84601),f317(f317(f234(x84601),x84602),x84605)),x84604))+P1(f317(f317(f277(x84601),f317(f317(f234(x84601),x84602),x84603)),x84604)) % 169.26/169.10 [8478]~P70(x84781)+~P1(f317(f28(x84782),x84784))+E(f317(f317(f23(x84781),f317(f317(f6(x84782,x84781),x84783),x84784)),f317(f317(f6(x84782,x84781),x84783),x84785)),f317(f317(f6(x84782,x84781),x84783),f317(f317(f23(f906(x84782,a894)),x84784),x84785)))+~P1(f317(f317(f224(f906(x84782,a894)),x84785),x84784)) % 169.26/169.10 [8497]P1(f317(f28(x84971),f317(x84972,x84973)))+~P1(f317(f28(x84974),x84975))+~P1(f317(f317(f319(x84974),x84973),x84975))+~P1(f317(f28(x84971),f317(f317(f34(x84974,f906(x84971,a894)),x84975),x84972))) % 169.26/169.10 [8952]~P11(x89521,x89525,x89524)+~E(f317(f275(x89521,x89521,x89524),f317(f317(f299(x89521),x89522),f178(f906(x89521,a894)))),f317(f275(x89521,x89521,x89524),f317(f317(f299(x89521),x89523),f178(f906(x89521,a894)))))+~P1(f317(f317(f319(x89521),x89523),x89525))+P1(f317(f317(f319(f905(x89521,x89521)),f317(f317(f242(x89521,x89521),x89522),x89523)),x89524)) % 169.26/169.10 [9250]~P1(f317(x92501,x92505))+P1(f317(x92501,f330(x92501,x92502,x92503,x92504)))+P1(f317(x92501,f327(x92501,x92502,x92503,x92504)))+~P1(f317(f317(f319(x92504),x92505),f317(f317(f91(f906(x92504,a894)),x92503),x92502))) % 169.26/169.10 [9440]~P1(f317(x94401,x94405))+P1(f317(x94401,f327(x94401,x94402,x94403,x94404)))+P1(f317(f317(f319(x94404),f330(x94401,x94402,x94403,x94404)),x94402))+~P1(f317(f317(f319(x94404),x94405),f317(f317(f91(f906(x94404,a894)),x94403),x94402))) % 169.26/169.10 [9441]~P1(f317(x94411,x94415))+P1(f317(x94411,f330(x94411,x94412,x94413,x94414)))+P1(f317(f317(f319(x94414),f327(x94411,x94412,x94413,x94414)),x94413))+~P1(f317(f317(f319(x94414),x94415),f317(f317(f91(f906(x94414,a894)),x94413),x94412))) % 169.26/169.10 [9445]P1(f317(x94451,x94452))+~P1(f317(x94451,f329(x94451,x94453,x94454,x94455)))+~P1(f317(x94451,f328(x94451,x94453,x94454,x94455)))+~P1(f317(f317(f319(x94455),x94452),f317(f317(f91(f906(x94455,a894)),x94454),x94453))) % 169.26/169.10 [9450]~P40(x94501,x94504)+~P1(f317(f317(f319(f905(x94501,x94501)),f317(f317(f242(x94501,x94501),x94502),x94505)),x94504))+P1(f317(f317(f319(f905(x94501,x94501)),f317(f317(f242(x94501,x94501),x94502),x94503)),x94504))+~P1(f317(f317(f319(f905(x94501,x94501)),f317(f317(f242(x94501,x94501),x94505),x94503)),x94504)) % 169.26/169.10 [9489]E(x94891,x94892)+~P1(f317(f317(f319(f905(x94893,x94893)),f317(f317(f242(x94893,x94893),x94891),x94892)),f297(x94893,x94895)))+P1(f317(f317(f319(x94893),x94891),x94894))+~P1(f317(f317(f224(f906(f905(x94893,x94893),a894)),x94895),f317(f317(f244(x94893,x94893),x94894),f317(f16(f906(x94893,a894),x94893),x94894)))) % 169.26/169.10 [9507]P1(f317(x95071,x95072))+~P1(f317(x95071,f328(x95071,x95074,x95075,x95073)))+P1(f317(f317(f319(x95073),f329(x95071,x95074,x95075,x95073)),x95074))+~P1(f317(f317(f319(x95073),x95072),f317(f317(f91(f906(x95073,a894)),x95075),x95074))) % 169.26/169.10 [9508]P1(f317(x95081,x95082))+~P1(f317(x95081,f329(x95081,x95084,x95085,x95083)))+P1(f317(f317(f319(x95083),f328(x95081,x95084,x95085,x95083)),x95085))+~P1(f317(f317(f319(x95083),x95082),f317(f317(f91(f906(x95083,a894)),x95085),x95084))) % 169.26/169.10 [9576]P1(f317(x95761,x95762))+P1(f317(f317(f319(x95763),f329(x95761,x95764,x95765,x95763)),x95764))+P1(f317(f317(f319(x95763),f328(x95761,x95764,x95765,x95763)),x95765))+~P1(f317(f317(f319(x95763),x95762),f317(f317(f91(f906(x95763,a894)),x95765),x95764))) % 169.26/169.10 [9578]~P1(f317(x95782,x95785))+P1(f317(f317(f319(x95781),f330(x95782,x95783,x95784,x95781)),x95783))+P1(f317(f317(f319(x95781),f327(x95782,x95783,x95784,x95781)),x95784))+~P1(f317(f317(f319(x95781),x95785),f317(f317(f91(f906(x95781,a894)),x95784),x95783))) % 169.26/169.10 [9735]~P11(x97351,x97355,x97354)+~P1(f317(f317(f319(x97351),x97353),x97355))+P1(f317(f317(f319(f905(x97351,x97351)),f317(f317(f242(x97351,x97351),x97352),x97353)),x97354))+~P1(f317(f317(f224(f906(x97351,a894)),f317(f275(x97351,x97351,x97354),f317(f317(f299(x97351),x97353),f178(f906(x97351,a894))))),f317(f275(x97351,x97351,x97354),f317(f317(f299(x97351),x97352),f178(f906(x97351,a894)))))) % 169.26/169.10 [9862]~P4(x98625)+~P8(x98625)+P1(f317(f317(f319(x98621),f583(x98622,x98623,x98624,x98621,x98625)),x98624))+~P1(f317(f317(f225(x98625),f317(f317(f35(x98621,x98625),x98624),x98623)),x98622)) % 169.26/169.10 [9895]~P83(x98955)+~P88(x98955)+P1(f317(f317(f319(x98951),f674(x98952,x98953,x98954,x98951,x98955)),f317(f162(x98951),x98954)))+P1(f317(f317(f224(x98955),f317(f155(x98955),f317(f317(f144(x98951,x98955),x98953),x98954))),f317(f155(x98955),f317(f317(f144(x98951,x98955),x98952),x98954)))) % 169.26/169.10 [10003]~P4(x100031)+~P8(x100031)+P1(f317(f317(f225(x100031),f317(x100032,f583(x100033,x100032,x100034,x100035,x100031))),x100033))+~P1(f317(f317(f225(x100031),f317(f317(f35(x100035,x100031),x100034),x100032)),x100033)) % 169.26/169.10 [10142]~P83(x101421)+~P88(x101421)+~P1(f317(f317(f224(x101421),f317(x101423,f674(x101425,x101423,x101424,x101422,x101421))),f317(x101425,f674(x101425,x101423,x101424,x101422,x101421))))+P1(f317(f317(f224(x101421),f317(f155(x101421),f317(f317(f144(x101422,x101421),x101423),x101424))),f317(f155(x101421),f317(f317(f144(x101422,x101421),x101425),x101424)))) % 169.26/169.10 [8791]~P79(x87911)+~P1(f317(f28(x87914),x87915))+~P1(f317(f317(f319(x87914),x87913),x87915))+E(f317(f317(f75(x87911),f317(x87912,x87913)),f317(f317(f9(x87914,x87911),x87912),f317(f317(f23(f906(x87914,a894)),x87915),f317(f317(f299(x87914),x87913),f178(f906(x87914,a894)))))),f317(f317(f9(x87914,x87911),x87912),x87915)) % 169.26/169.10 [8793]~P76(x87931)+~P1(f317(f28(x87934),x87935))+~P1(f317(f317(f319(x87934),x87933),x87935))+E(f317(f317(f74(x87931),f317(x87932,x87933)),f317(f317(f6(x87934,x87931),x87932),f317(f317(f23(f906(x87934,a894)),x87935),f317(f317(f299(x87934),x87933),f178(f906(x87934,a894)))))),f317(f317(f6(x87934,x87931),x87932),x87935)) % 169.26/169.10 [8853]~P21(x88531,x88534,x88535)+~P1(f317(f28(x88531),x88532))+E(f317(f317(f23(f906(x88531,a894)),x88532),f317(f317(f299(x88531),x88533),f178(f906(x88531,a894)))),f178(f906(x88531,a894)))+E(f317(f317(x88534,x88533),f317(x88535,f317(f317(f23(f906(x88531,a894)),x88532),f317(f317(f299(x88531),x88533),f178(f906(x88531,a894)))))),f317(x88535,f317(f317(f299(x88531),x88533),x88532))) % 169.26/169.10 [9228]~P76(x92281)+~P1(f317(f28(x92282),x92285))+~P1(f317(f28(x92282),x92284))+E(f317(f317(f74(x92281),f317(f317(f6(x92282,x92281),x92283),f317(f317(f91(f906(x92282,a894)),x92284),x92285))),f317(f317(f6(x92282,x92281),x92283),f317(f317(f92(f906(x92282,a894)),x92284),x92285))),f317(f317(f74(x92281),f317(f317(f6(x92282,x92281),x92283),x92284)),f317(f317(f6(x92282,x92281),x92283),x92285))) % 169.26/169.10 [9230]~P79(x92301)+~P1(f317(f28(x92302),x92305))+~P1(f317(f28(x92302),x92304))+E(f317(f317(f75(x92301),f317(f317(f9(x92302,x92301),x92303),f317(f317(f91(f906(x92302,a894)),x92304),x92305))),f317(f317(f9(x92302,x92301),x92303),f317(f317(f92(f906(x92302,a894)),x92304),x92305))),f317(f317(f75(x92301),f317(f317(f9(x92302,x92301),x92303),x92304)),f317(f317(f9(x92302,x92301),x92303),x92305))) % 169.26/169.10 [9372]~P70(x93721)+~P1(f317(f28(x93722),x93725))+~P1(f317(f28(x93722),x93724))+E(f317(f317(f23(x93721),f317(f317(f74(x93721),f317(f317(f6(x93722,x93721),x93723),x93724)),f317(f317(f6(x93722,x93721),x93723),x93725))),f317(f317(f6(x93722,x93721),x93723),f317(f317(f92(f906(x93722,a894)),x93724),x93725))),f317(f317(f6(x93722,x93721),x93723),f317(f317(f91(f906(x93722,a894)),x93724),x93725))) % 169.26/169.10 [9592]~P27(x95921,x95922,x95923,x95925)+~P27(x95921,x95922,x95923,x95924)+P27(x95921,x95922,x95923,f317(f317(f91(f906(x95921,a894)),x95924),x95925))+~E(f317(f317(f92(f906(x95922,a894)),f317(f300(x95921,x95922,x95923),f317(f317(f23(f906(x95921,a894)),x95924),x95925))),f317(f300(x95921,x95922,x95923),f317(f317(f23(f906(x95921,a894)),x95925),x95924))),f178(f906(x95922,a894))) % 169.26/169.10 [9710]E(x97101,f2(a1))+~P1(f317(f317(f225(a1),f2(a1)),x97103))+~P1(f317(f44(x97102,x97101),f317(f317(f242(a1,a1),x97104),x97105)))+P1(f317(f44(x97102,f317(f317(f75(a1),x97101),x97103)),f317(f317(f242(a1,a1),f317(f317(f30(a1),x97104),x97103)),f317(f317(f74(a1),f317(f317(f75(a1),x97101),f40(a1,x97104,x97103))),x97105)))) % 169.26/169.10 [9718]~P1(f317(f317(f225(a897),f2(a897)),x97183))+~P1(f317(f317(f225(a897),f2(a897)),x97182))+~P1(f317(f43(x97181,x97182),f317(f317(f242(a897,a897),x97184),x97185)))+P1(f317(f43(x97181,f317(f317(f75(a897),x97182),x97183)),f317(f317(f242(a897,a897),f317(f317(f30(a897),x97184),x97183)),f317(f317(f74(a897),f317(f317(f75(a897),x97182),f40(a897,x97184,x97183))),x97185)))) % 169.26/169.10 [9767]~P79(x97671)+~P1(f317(f28(x97672),x97675))+~P1(f317(f28(x97672),x97674))+E(f317(f317(f75(x97671),f317(f317(f317(f59(x97671,x97672,f75(x97671)),x97673),f72(x97671)),f317(f317(f91(f906(x97672,a894)),x97674),x97675))),f317(f317(f317(f59(x97671,x97672,f75(x97671)),x97673),f72(x97671)),f317(f317(f92(f906(x97672,a894)),x97674),x97675))),f317(f317(f75(x97671),f317(f317(f317(f59(x97671,x97672,f75(x97671)),x97673),f72(x97671)),x97674)),f317(f317(f317(f59(x97671,x97672,f75(x97671)),x97673),f72(x97671)),x97675))) % 169.26/169.10 [9769]~E(f317(f317(f165(x97691),x97695),x97692),f317(f317(f165(x97691),x97695),x97693))+P1(f317(f317(f319(f905(f898(x97691),f898(x97691))),f317(f317(f242(f898(x97691),f898(x97691)),x97692),x97693)),f137(x97691,x97694)))+~P1(f317(f317(f225(a897),x97695),f317(f317(f228(a897),f317(f179(f898(x97691)),x97692)),f317(f179(f898(x97691)),x97693))))+~P1(f317(f317(f319(f905(x97691,x97691)),f317(f317(f242(x97691,x97691),f317(f317(f154(x97691),x97692),x97695)),f317(f317(f154(x97691),x97693),x97695))),x97694)) % 169.26/169.10 [9884]~P88(x98845)+~P144(x98845)+P1(f317(f317(f319(x98841),f409(x98842,x98843,x98844,x98841,x98845)),x98844))+P1(f317(f317(f224(x98845),f317(f317(f6(x98841,x98845),x98843),x98844)),f317(f317(f75(x98845),f317(f90(x98845),f317(f29(x98841),x98844))),x98842))) % 169.26/169.10 [10060]~P88(x100601)+~P144(x100601)+~P1(f317(f317(f224(x100601),f317(x100603,f409(x100605,x100603,x100604,x100602,x100601))),x100605))+P1(f317(f317(f224(x100601),f317(f317(f6(x100602,x100601),x100603),x100604)),f317(f317(f75(x100601),f317(f90(x100601),f317(f29(x100602),x100604))),x100605))) % 169.26/169.10 [8821]E(f317(f317(f124(x88211),x88212),x88213),f317(f317(f124(x88211),x88214),x88215))+~E(f317(f317(f165(x88211),f317(f179(f898(x88211)),x88212)),x88214),x88212)+~E(f317(f317(f124(x88211),f317(f317(f128(x88211),f317(f179(f898(x88211)),x88212)),x88214)),x88215),x88213)+P1(f317(f317(f224(a897),f317(f179(f898(x88211)),x88214)),f317(f179(f898(x88211)),x88212))) % 169.26/169.10 [8951]E(f317(f317(f124(x89511),x89512),x89513),f317(f317(f124(x89511),x89514),x89515))+~E(f317(f317(f165(x89511),f317(f179(f898(x89511)),x89512)),x89514),x89512)+~E(x89513,f317(f317(f124(x89511),f317(f317(f128(x89511),f317(f179(f898(x89511)),x89512)),x89514)),x89515))+~P1(f317(f317(f224(a897),f317(f179(f898(x89511)),x89512)),f317(f179(f898(x89511)),x89514))) % 169.26/169.10 [10206]~P1(f317(x102065,x102064))+~P1(f317(f28(x102062),f317(f252(x102062),x102065)))+P1(f317(f28(x102061),f317(f252(x102061),f317(f317(f7(x102061,x102062,a894),x102063),x102064))))+~P1(f317(f28(x102061),f317(f252(x102061),f317(f317(f8(f906(x102062,a894),a894,x102061),f81(x102062)),f317(f317(f8(f906(x102062,a894),f906(x102062,a894),x102061),f317(f18(x102062,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102062),a315),x102065))),x102063))))) % 169.26/169.10 [10282]~P1(f317(f28(x102822),x102825))+~P1(f317(f317(f319(x102822),x102824),x102825))+P1(f317(f28(x102821),f317(f252(x102821),f317(f317(f7(x102821,x102822,a894),x102823),x102824))))+~P1(f317(f28(x102821),f317(f252(x102821),f317(f317(f8(f906(x102822,a894),a894,x102821),f81(x102822)),f317(f317(f8(f906(x102822,a894),f906(x102822,a894),x102821),f317(f18(x102822,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102822),a315),f317(f317(f7(x102822,f906(x102822,a894),a894),f319(x102822)),x102825)))),x102823))))) % 169.26/169.10 [8607]~P22(x86075,x86071,x86076,x86072)+E(f317(f67(x86071,x86071,x86071,f317(x86072,x86073)),f317(x86072,x86074)),f317(f67(x86071,x86071,x86071,f317(x86072,x86074)),f317(x86072,x86073)))+~P1(f317(f28(x86075),x86074))+~P1(f317(f28(x86075),x86073)) % 169.26/169.10 [8000]~P27(x80001,x80002,x80004,x80003)+~E(f317(x80004,x80006),x80005)+E(f317(f71(x80001,x80002,x80003,x80004),x80005),x80006)+~P1(f317(f317(f319(x80001),x80006),x80003)) % 169.26/169.10 [8001]~P27(x80011,x80012,x80014,x80013)+~E(f317(x80014,x80016),x80015)+E(f317(f85(x80011,x80012,x80013,x80014),x80015),x80016)+~P1(f317(f317(f319(x80011),x80016),x80013)) % 169.26/169.10 [8194]~P23(x81946,x81941,x81944,x81942)+E(f317(f67(x81941,x81941,x81941,f317(x81942,x81943)),f317(x81944,x81945)),f317(x81942,x81943))+~P1(f317(f28(x81946),x81943))+~P1(f317(f317(f319(x81946),x81945),x81943)) % 169.26/169.10 [9322]E(x93221,x93222)+~E(f317(f85(x93223,x93224,x93225,x93226),x93221),f317(f85(x93223,x93224,x93225,x93226),x93222))+~P1(f317(f317(f319(x93224),x93222),f317(f300(x93223,x93224,x93226),x93225)))+~P1(f317(f317(f319(x93224),x93221),f317(f300(x93223,x93224,x93226),x93225))) % 169.26/169.10 [9424]~P22(x94243,x94241,x94246,x94242)+E(f317(f67(x94241,x94241,x94241,f317(x94242,f317(f317(f23(f906(x94243,a894)),x94244),f317(f317(f299(x94243),x94245),f178(f906(x94243,a894)))))),f317(x94246,x94245)),f317(x94242,x94244))+~P1(f317(f28(x94243),x94244))+~P1(f317(f317(f319(x94243),x94245),x94244)) % 169.26/169.10 [7081]~P7(x70811)+~E(f40(x70811,x70813,x70814),f40(x70811,x70816,x70814))+~E(f40(x70811,x70812,x70814),f40(x70811,x70815,x70814))+E(f40(x70811,f317(f317(f23(x70811),x70812),x70813),x70814),f40(x70811,f317(f317(f23(x70811),x70815),x70816),x70814)) % 169.26/169.10 [7082]~P6(x70821)+~E(f40(x70821,x70823,x70824),f40(x70821,x70826,x70824))+~E(f40(x70821,x70822,x70824),f40(x70821,x70825,x70824))+E(f40(x70821,f317(f317(f74(x70821),x70822),x70823),x70824),f40(x70821,f317(f317(f74(x70821),x70825),x70826),x70824)) % 169.26/169.10 [7083]~P6(x70831)+~E(f40(x70831,x70833,x70834),f40(x70831,x70836,x70834))+~E(f40(x70831,x70832,x70834),f40(x70831,x70835,x70834))+E(f40(x70831,f317(f317(f75(x70831),x70832),x70833),x70834),f40(x70831,f317(f317(f75(x70831),x70835),x70836),x70834)) % 169.26/169.10 [7895]~P19(x78951,x78952,x78953)+~P1(f317(f28(x78951),x78956))+E(f317(f317(f58(x78951,x78952,x78953),x78954),f317(f317(f299(x78951),x78955),x78956)),f317(f317(f58(x78951,x78952,x78953),f317(f317(x78953,x78955),x78954)),x78956))+P1(f317(f317(f319(x78951),x78955),x78956)) % 169.26/169.10 [7959]~P8(x79591)+P1(f317(f317(f224(x79591),x79592),f317(x79593,x79594)))+~P1(f317(f317(f319(x79595),x79594),x79596))+~P1(f317(f317(f224(x79591),x79592),f317(f317(f35(x79595,x79591),x79596),x79593))) % 169.26/169.10 [8116]~P19(x81161,x81162,x81163)+~P1(f317(f28(x81161),x81166))+E(f317(f317(f58(x81161,x81162,x81163),x81164),f317(f317(f299(x81161),x81165),x81166)),f317(f317(x81163,x81165),f317(f317(f58(x81161,x81162,x81163),x81164),x81166)))+P1(f317(f317(f319(x81161),x81165),x81166)) % 169.26/169.10 [8212]~P4(x82123)+~P1(f317(x82122,x82125))+~P16(x82123,f317(f317(f144(x82121,x82123),x82124),x82126))+E(f317(f126(x82121,x82122),f317(f317(f138(x82121,x82123,x82124),x82125),x82126)),f317(f317(f138(x82121,x82123,x82124),x82125),f317(f126(x82121,x82122),x82126))) % 169.26/169.10 [8235]E(x82351,x82352)+E(x82353,f2(a1))+~P1(f317(f44(x82354,x82353),f317(f317(f242(a1,a1),x82355),x82352)))+~P1(f317(f44(x82354,x82353),f317(f317(f242(a1,a1),x82356),x82351))) % 169.26/169.10 [8236]E(x82361,x82362)+E(x82363,f2(a1))+~P1(f317(f44(x82364,x82363),f317(f317(f242(a1,a1),x82362),x82365)))+~P1(f317(f44(x82364,x82363),f317(f317(f242(a1,a1),x82361),x82366))) % 169.26/169.10 [8259]~P22(x82592,x82595,x82596,x82591)+~P1(f317(f28(x82592),x82594))+E(f317(x82591,f317(f317(f299(x82592),x82593),x82594)),f317(f67(x82595,x82595,x82595,f317(x82591,x82594)),f317(x82596,x82593)))+P1(f317(f317(f319(x82592),x82593),x82594)) % 169.26/169.10 [8481]~P23(x84815,x84811,x84816,x84812)+E(f317(f67(x84811,x84811,x84811,f317(x84812,x84813)),f317(x84812,x84814)),f317(x84812,x84813))+~P1(f317(f28(x84815),x84813))+~P1(f317(f317(f224(f906(x84815,a894)),x84814),x84813)) % 169.26/169.10 [9639]~P27(x96391,x96392,x96394,x96393)+~P1(f317(f317(f319(x96392),x96395),f317(f300(x96391,x96392,x96394),x96393)))+P1(f317(f317(f319(x96391),f317(f71(x96391,x96392,x96393,x96394),x96395)),x96396))+~P1(f317(f317(f224(f906(x96391,a894)),x96393),x96396)) % 169.26/169.10 [10014]~P76(x100142)+~E(f530(x100141,x100143,x100145,x100146,x100144,x100142),f531(x100141,x100143,x100145,x100146,x100144,x100142))+~P1(f317(f28(x100144),x100146))+E(f317(f317(f6(x100141,x100142),x100143),f317(f300(x100144,x100141,x100145),x100146)),f317(f317(f6(x100144,x100142),f317(f67(x100141,x100142,x100144,x100143),x100145)),x100146)) % 169.26/169.10 [10042]~P76(x100426)+E(f317(x100421,f530(x100422,x100423,x100421,x100424,x100425,x100426)),f317(x100421,f531(x100422,x100423,x100421,x100424,x100425,x100426)))+E(f317(f317(f6(x100422,x100426),x100423),f317(f300(x100425,x100422,x100421),x100424)),f317(f317(f6(x100425,x100426),f317(f67(x100422,x100426,x100425,x100423),x100421)),x100424))+~P1(f317(f28(x100425),x100424)) % 169.26/169.10 [10092]~P76(x100922)+~E(f317(x100923,f317(x100925,f531(x100921,x100923,x100925,x100926,x100924,x100922))),f2(x100922))+~P1(f317(f28(x100924),x100926))+E(f317(f317(f6(x100921,x100922),x100923),f317(f300(x100924,x100921,x100925),x100926)),f317(f317(f6(x100924,x100922),f317(f67(x100921,x100922,x100924,x100923),x100925)),x100926)) % 169.26/169.10 [10150]~P76(x101502)+~P1(f317(f28(x101504),x101506))+E(f317(f317(f6(x101501,x101502),x101503),f317(f300(x101504,x101501,x101505),x101506)),f317(f317(f6(x101504,x101502),f317(f67(x101501,x101502,x101504,x101503),x101505)),x101506))+P1(f317(f317(f319(x101504),f531(x101501,x101503,x101505,x101506,x101504,x101502)),x101506)) % 169.26/169.10 [10151]~P76(x101512)+~P1(f317(f28(x101514),x101516))+E(f317(f317(f6(x101511,x101512),x101513),f317(f300(x101514,x101511,x101515),x101516)),f317(f317(f6(x101514,x101512),f317(f67(x101511,x101512,x101514,x101513),x101515)),x101516))+P1(f317(f317(f319(x101514),f530(x101511,x101513,x101515,x101516,x101514,x101512)),x101516)) % 169.26/169.10 [10281]~P79(x102811)+~P1(f317(f28(x102812),x102816))+E(f317(f317(f317(f59(x102811,x102812,f75(x102811)),f317(f317(f18(x102812,f906(x102813,a894),x102811),f317(f317(f7(x102812,x102811,f906(f906(x102813,a894),x102811)),f317(f317(f8(f906(x102813,x102811),f906(x102811,f906(f906(x102813,a894),x102811)),x102812),f59(x102811,x102813,f75(x102811))),x102814)),f72(x102811))),x102815)),f72(x102811)),x102816),f317(f317(f317(f59(x102811,f905(x102812,x102813),f75(x102811)),f317(f247(x102812,x102813,x102811),x102814)),f72(x102811)),f317(f317(f244(x102812,x102813),x102816),x102815)))+P1(f317(f317(f319(x102812),f473(x102814,x102815,x102813,x102816,x102812,x102811)),x102816)) % 169.26/169.10 [10303]~P79(x103031)+~P1(f317(f28(x103032),x103036))+E(f317(f317(f317(f59(x103031,x103032,f75(x103031)),f317(f317(f18(x103032,f906(x103033,a894),x103031),f317(f317(f7(x103032,x103031,f906(f906(x103033,a894),x103031)),f317(f317(f8(f906(x103033,x103031),f906(x103031,f906(f906(x103033,a894),x103031)),x103032),f59(x103031,x103033,f75(x103031))),x103034)),f72(x103031))),x103035)),f72(x103031)),x103036),f317(f317(f317(f59(x103031,f905(x103032,x103033),f75(x103031)),f317(f247(x103032,x103033,x103031),x103034)),f72(x103031)),f317(f317(f244(x103032,x103033),x103036),x103035)))+~P1(f317(f28(x103033),f317(x103035,f473(x103034,x103035,x103033,x103036,x103032,x103031)))) % 169.26/169.10 [8391]~P23(x83912,x83915,x83916,x83911)+~P1(f317(f28(x83912),x83914))+~P1(f317(f28(x83912),x83913))+E(f317(x83911,f317(f317(f91(f906(x83912,a894)),x83913),x83914)),f317(f67(x83915,x83915,x83915,f317(x83911,x83913)),f317(x83911,x83914))) % 169.26/169.10 [8608]~P8(x86081)+P1(f317(f317(f224(x86081),f317(x86082,x86083)),x86084))+~P1(f317(f317(f319(x86085),x86083),x86086))+~P1(f317(f317(f224(x86081),f317(f317(f34(x86085,x86081),x86086),x86082)),x86084)) % 169.26/169.10 [9037]~P27(x90372,x90371,x90373,x90376)+E(f317(f317(f23(f906(x90371,a894)),f317(f300(x90372,x90371,x90373),x90374)),f317(f300(x90372,x90371,x90373),x90375)),f317(f300(x90372,x90371,x90373),f317(f317(f23(f906(x90372,a894)),x90374),x90375)))+~P1(f317(f317(f224(f906(x90372,a894)),x90375),x90376))+~P1(f317(f317(f224(f906(x90372,a894)),x90374),x90376)) % 169.26/169.10 [9038]~P27(x90382,x90381,x90383,x90386)+E(f317(f317(f92(f906(x90381,a894)),f317(f300(x90382,x90381,x90383),x90384)),f317(f300(x90382,x90381,x90383),x90385)),f317(f300(x90382,x90381,x90383),f317(f317(f92(f906(x90382,a894)),x90384),x90385)))+~P1(f317(f317(f224(f906(x90382,a894)),x90385),x90386))+~P1(f317(f317(f224(f906(x90382,a894)),x90384),x90386)) % 169.26/169.10 [9296]E(x92961,x92962)+~P57(x92963,x92964,x92965)+~P1(f317(f317(f319(f905(x92963,x92964)),f317(f317(f242(x92963,x92964),x92966),x92962)),x92965))+~P1(f317(f317(f319(f905(x92963,x92964)),f317(f317(f242(x92963,x92964),x92966),x92961)),x92965)) % 169.26/169.10 [10088]~P74(x100881)+~E(f317(x100883,f547(x100884,x100886,x100883,x100885,x100882,x100881)),f317(x100886,f547(x100884,x100886,x100883,x100885,x100882,x100881)))+~P1(f317(f28(x100882),x100885))+E(f317(f317(f317(f59(x100881,x100882,f75(x100881)),x100883),x100884),x100885),f317(f317(f317(f59(x100881,x100882,f75(x100881)),x100886),x100884),x100885)) % 169.26/169.10 [10148]~P74(x101481)+~P1(f317(f28(x101482),x101485))+E(f317(f317(f317(f59(x101481,x101482,f75(x101481)),x101483),x101484),x101485),f317(f317(f317(f59(x101481,x101482,f75(x101481)),x101486),x101484),x101485))+P1(f317(f317(f319(x101482),f547(x101484,x101483,x101486,x101485,x101482,x101481)),x101485)) % 169.26/169.10 [8835]~P74(x88351)+~P1(f317(f28(x88352),x88356))+P1(f317(f317(f319(x88352),x88355),x88356))+E(f317(f317(f317(f59(x88351,x88352,f75(x88351)),x88353),x88354),f317(f317(f299(x88352),x88355),x88356)),f317(f317(f75(x88351),f317(x88353,x88355)),f317(f317(f317(f59(x88351,x88352,f75(x88351)),x88353),x88354),x88356))) % 169.26/169.10 [8888]~P11(x88881,x88886,x88883)+~P14(x88881,f906(x88882,a894),x88883,x88885)+~P1(f317(f317(f319(x88881),x88884),x88886))+E(f317(f317(f34(x88881,f906(x88882,a894)),f317(f275(x88881,x88881,x88883),f317(f317(f299(x88881),x88884),f178(f906(x88881,a894))))),x88885),f317(x88885,x88884)) % 169.26/169.10 [9014]~P19(x90143,x90144,x90141)+~P1(f317(f28(x90143),x90146))+~P1(f317(f317(f319(x90143),x90142),x90146))+E(f317(f317(x90141,x90142),f317(f317(f58(x90143,x90144,x90141),x90145),f317(f317(f23(f906(x90143,a894)),x90146),f317(f317(f299(x90143),x90142),f178(f906(x90143,a894)))))),f317(f317(f58(x90143,x90144,x90141),x90145),x90146)) % 169.26/169.10 [9306]~P22(x93063,x93061,x93066,x93062)+~P1(f317(f28(x93063),x93065))+~P1(f317(f28(x93063),x93064))+E(f317(f67(x93061,x93061,x93061,f317(x93062,f317(f317(f91(f906(x93063,a894)),x93064),x93065))),f317(x93062,f317(f317(f92(f906(x93063,a894)),x93064),x93065))),f317(f67(x93061,x93061,x93061,f317(x93062,x93064)),f317(x93062,x93065))) % 169.26/169.10 [9663]~E(x96633,f317(f317(f149(x96631,x96632),x96635),x96636))+P1(f317(f317(f319(f905(f898(x96631),f898(x96631))),f317(f317(f242(f898(x96631),f898(x96631)),x96632),x96633)),f147(x96631,x96634)))+~P1(f317(f317(f225(a897),x96635),f317(f179(f898(x96631)),x96632)))+~P1(f317(f317(f319(f905(x96631,x96631)),f317(f317(f242(x96631,x96631),f317(f317(f154(x96631),x96632),x96635)),x96636)),x96634)) % 169.26/169.10 [10165]~P79(x101652)+~P1(f317(f28(x101651),x101656))+P1(f317(f317(f319(x101651),f475(x101654,x101655,x101653,x101656,x101651,x101652)),x101656))+E(f317(f317(f9(x101651,x101652),f317(f317(f18(x101651,f906(x101653,a894),x101652),f317(f317(f8(f906(x101653,x101652),f906(f906(x101653,a894),x101652),x101651),f9(x101653,x101652)),x101654)),x101655)),x101656),f317(f317(f9(f905(x101651,x101653),x101652),f317(f247(x101651,x101653,x101652),x101654)),f317(f317(f244(x101651,x101653),x101656),x101655))) % 169.26/169.10 [10166]~P76(x101662)+~P1(f317(f28(x101661),x101666))+P1(f317(f317(f319(x101661),f476(x101664,x101665,x101663,x101666,x101661,x101662)),x101666))+E(f317(f317(f6(x101661,x101662),f317(f317(f18(x101661,f906(x101663,a894),x101662),f317(f317(f8(f906(x101663,x101662),f906(f906(x101663,a894),x101662),x101661),f6(x101663,x101662)),x101664)),x101665)),x101666),f317(f317(f6(f905(x101661,x101663),x101662),f317(f247(x101661,x101663,x101662),x101664)),f317(f317(f244(x101661,x101663),x101666),x101665))) % 169.26/169.10 [10204]~P79(x102042)+~P1(f317(f28(x102041),x102046))+~P1(f317(f28(x102043),f317(x102045,f475(x102044,x102045,x102043,x102046,x102041,x102042))))+E(f317(f317(f9(x102041,x102042),f317(f317(f18(x102041,f906(x102043,a894),x102042),f317(f317(f8(f906(x102043,x102042),f906(f906(x102043,a894),x102042),x102041),f9(x102043,x102042)),x102044)),x102045)),x102046),f317(f317(f9(f905(x102041,x102043),x102042),f317(f247(x102041,x102043,x102042),x102044)),f317(f317(f244(x102041,x102043),x102046),x102045))) % 169.26/169.10 [10205]~P76(x102052)+~P1(f317(f28(x102051),x102056))+~P1(f317(f28(x102053),f317(x102055,f476(x102054,x102055,x102053,x102056,x102051,x102052))))+E(f317(f317(f6(x102051,x102052),f317(f317(f18(x102051,f906(x102053,a894),x102052),f317(f317(f8(f906(x102053,x102052),f906(f906(x102053,a894),x102052),x102051),f6(x102053,x102052)),x102054)),x102055)),x102056),f317(f317(f6(f905(x102051,x102053),x102052),f317(f247(x102051,x102053,x102052),x102054)),f317(f317(f244(x102051,x102053),x102056),x102055))) % 169.26/169.10 [10187]~P79(x101872)+~P1(f317(f28(x101871),x101876))+P1(f317(f317(f319(x101871),x101873),x101876))+E(f317(f317(f9(x101871,x101872),f317(f317(f7(x101871,x101872,x101872),f317(f317(f18(x101871,x101872,f906(x101872,x101872)),f317(f317(f8(a894,f906(x101872,f906(x101872,x101872)),x101871),f86(x101872)),f317(f317(f7(x101871,x101871,a894),a314),x101873))),x101874)),x101875)),x101876),f317(f317(f234(x101872),x101875),f317(f29(x101871),x101876))) % 169.26/169.10 [10190]~P79(x101902)+~P1(f317(f28(x101901),x101906))+~P1(f317(f317(f319(x101901),x101903),x101906))+E(f317(f317(f9(x101901,x101902),f317(f317(f7(x101901,x101902,x101902),f317(f317(f18(x101901,x101902,f906(x101902,x101902)),f317(f317(f8(a894,f906(x101902,f906(x101902,x101902)),x101901),f86(x101902)),f317(f317(f7(x101901,x101901,a894),a314),x101903))),x101904)),x101905)),x101906),f317(f317(f75(x101902),f317(x101904,x101903)),f317(f317(f234(x101902),x101905),f317(f317(f23(a897),f317(f29(x101901),x101906)),f72(a897))))) % 169.26/169.10 [10268]~P1(f317(f28(x102681),x102685))+~P1(f317(f28(x102682),x102683))+P1(f317(f317(f319(x102682),f496(x102686,x102684,x102683,x102682,x102685,x102681)),x102683))+E(f317(f317(f6(x102681,a897),f317(f317(f8(f906(x102682,a894),a897,x102681),f29(x102682)),f317(f317(f8(f906(x102682,a894),f906(x102682,a894),x102681),f252(x102682)),f317(f317(f8(f906(x102682,a894),f906(x102682,a894),x102681),f317(f18(x102682,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102682),a315),f317(f317(f7(x102682,f906(x102682,a894),a894),f319(x102682)),x102683)))),x102684)))),x102685),f317(f317(f75(a897),x102686),f317(f29(x102682),x102683))) % 169.26/169.10 [10269]~P1(f317(f28(x102691),x102695))+~P1(f317(f28(x102692),x102693))+P1(f317(f317(f319(x102692),f497(x102696,x102694,x102693,x102692,x102695,x102691)),x102693))+E(f317(f317(f6(x102691,a897),f317(f317(f8(f906(x102692,a894),a897,x102691),f29(x102692)),f317(f317(f8(f906(x102692,a894),f906(x102692,a894),x102691),f252(x102692)),f317(f317(f8(f906(x102692,a894),f906(x102692,a894),x102691),f317(f18(x102692,a894,a894),f317(f317(f8(a894,f906(a894,a894),x102692),a315),f317(f317(f7(x102692,f906(x102692,a894),a894),f319(x102692)),x102693)))),x102694)))),x102695),f317(f317(f6(x102692,a897),x102696),x102693)) % 169.26/169.10 [10316]~P1(f317(f28(x103162),x103163))+~P1(f317(f28(x103161),x103165))+~E(f317(f29(x103161),f317(f252(x103161),f317(f317(f18(x103161,a894,a894),f317(f317(f8(a894,f906(a894,a894),x103161),a315),f317(f317(f7(x103161,f906(x103161,a894),a894),f319(x103161)),x103165))),f317(f317(f7(x103161,x103162,a894),x103164),f496(x103166,x103164,x103163,x103162,x103165,x103161))))),x103166)+E(f317(f317(f6(x103161,a897),f317(f317(f8(f906(x103162,a894),a897,x103161),f29(x103162)),f317(f317(f8(f906(x103162,a894),f906(x103162,a894),x103161),f252(x103162)),f317(f317(f8(f906(x103162,a894),f906(x103162,a894),x103161),f317(f18(x103162,a894,a894),f317(f317(f8(a894,f906(a894,a894),x103162),a315),f317(f317(f7(x103162,f906(x103162,a894),a894),f319(x103162)),x103163)))),x103164)))),x103165),f317(f317(f75(a897),x103166),f317(f29(x103162),x103163))) % 169.26/169.10 [10318]~P1(f317(f28(x103182),x103183))+~P1(f317(f28(x103181),x103185))+~E(f317(f29(x103181),f317(f252(x103181),f317(f317(f18(x103181,a894,a894),f317(f317(f8(a894,f906(a894,a894),x103181),a315),f317(f317(f7(x103181,f906(x103181,a894),a894),f319(x103181)),x103185))),f317(f317(f7(x103181,x103182,a894),x103184),f497(x103186,x103184,x103183,x103182,x103185,x103181))))),f317(x103186,f497(x103186,x103184,x103183,x103182,x103185,x103181)))+E(f317(f317(f6(x103181,a897),f317(f317(f8(f906(x103182,a894),a897,x103181),f29(x103182)),f317(f317(f8(f906(x103182,a894),f906(x103182,a894),x103181),f252(x103182)),f317(f317(f8(f906(x103182,a894),f906(x103182,a894),x103181),f317(f18(x103182,a894,a894),f317(f317(f8(a894,f906(a894,a894),x103182),a315),f317(f317(f7(x103182,f906(x103182,a894),a894),f319(x103182)),x103183)))),x103184)))),x103185),f317(f317(f6(x103182,a897),x103186),x103183)) % 169.26/169.10 [9940]E(x99401,x99402)+~P19(x99403,x99404,x99405)+~P1(f317(f60(x99403,x99404,x99405,x99406,x99407),x99402))+~P1(f317(f60(x99403,x99404,x99405,x99406,x99407),x99401)) % 169.26/169.10 [9739]P1(f317(x97391,x97392))+~P1(f317(f317(f319(x97397),x97392),f317(x97396,x97394)))+~P1(f317(x97391,f437(x97391,x97396,x97395,x97393,x97397)))+~P1(f317(f317(f319(x97393),x97394),x97395)) % 169.26/169.10 [10179]~P19(x101797,x101796,x101791)+E(f317(f317(x101791,x101792),f587(x101792,x101793,x101794,x101795,x101791,x101796,x101797)),x101793)+~P1(f317(f60(x101797,x101796,x101791,x101795,x101794),x101793))+~P1(f317(f317(f319(x101797),x101792),x101794)) % 169.26/169.10 [10246]~P19(x102461,x102462,x102463)+~P1(f317(f60(x102461,x102462,x102463,x102464,x102465),x102467))+P1(f317(f60(x102461,x102462,x102463,x102464,f317(f317(f23(f906(x102461,a894)),x102465),f317(f317(f299(x102461),x102466),f178(f906(x102461,a894))))),f587(x102466,x102467,x102465,x102464,x102463,x102462,x102461)))+~P1(f317(f317(f319(x102461),x102466),x102465)) % 169.26/169.10 [9379]P28(x93791,x93792,x93793,x93794,x93795)+~P28(x93791,x93792,x93793,x93796,x93797)+~E(f317(f300(x93791,x93792,x93793),x93794),x93795)+~P1(f317(f317(f224(f906(x93791,a894)),x93794),x93796)) % 169.26/169.10 [9630]~P28(x96301,x96302,x96303,x96305,x96307)+~P28(x96301,x96302,x96303,x96304,x96306)+P28(x96301,x96302,x96303,f317(f317(f91(f906(x96301,a894)),x96304),x96305),f317(f317(f91(f906(x96302,a894)),x96306),x96307))+~E(f317(f317(f92(f906(x96302,a894)),x96306),x96307),f178(f906(x96302,a894))) % 169.26/169.10 [9635]~P74(x96351)+~P27(x96355,x96352,x96356,x96357)+~P1(f317(f28(x96355),x96357))+E(f317(f317(f317(f59(x96351,x96352,f75(x96351)),x96353),x96354),f317(f300(x96355,x96352,x96356),x96357)),f317(f317(f317(f59(x96351,x96355,f75(x96351)),f317(f67(x96352,x96351,x96355,x96353),x96356)),x96354),x96357)) % 169.26/169.10 [9762]~E(f317(f317(f299(x97621),x97625),x97626),f317(f317(f299(x97621),x97622),x97623))+~P1(f317(f60(x97621,x97621,x97624,x97622,x97623),x97627))+P1(f317(f317(f319(x97621),x97622),x97623))+P1(f317(f56(x97621,x97624,f317(f317(f299(x97621),x97625),x97626)),x97627)) % 169.26/169.10 [9846]P1(f317(x98461,x98462))+~P1(f317(f317(f319(x98463),x98462),f317(x98464,x98467)))+~P1(f317(f317(f319(x98466),x98467),x98465))+P1(f317(f317(f319(x98463),f437(x98461,x98464,x98465,x98466,x98463)),f317(f317(f34(x98466,f906(x98463,a894)),x98465),x98464))) % 169.26/169.10 [9863]~P27(x98632,x98631,x98635,x98634)+~P27(x98631,x98633,x98636,f317(f300(x98632,x98631,x98635),x98634))+E(f317(f317(f67(x98631,x98632,x98633,f71(x98632,x98631,x98634,x98635)),f71(x98631,x98633,f317(f300(x98632,x98631,x98635),x98634),x98636)),x98637),f317(f71(x98632,x98633,x98634,f317(f67(x98631,x98633,x98632,x98636),x98635)),x98637))+~P1(f317(f317(f319(x98633),x98637),f317(f300(x98631,x98633,x98636),f317(f300(x98632,x98631,x98635),x98634)))) % 169.26/169.10 [9864]~P27(x98642,x98641,x98645,x98644)+~P27(x98641,x98643,x98646,f317(f300(x98642,x98641,x98645),x98644))+E(f317(f317(f67(x98641,x98642,x98643,f85(x98642,x98641,x98644,x98645)),f85(x98641,x98643,f317(f300(x98642,x98641,x98645),x98644),x98646)),x98647),f317(f85(x98642,x98643,x98644,f317(f67(x98641,x98643,x98642,x98646),x98645)),x98647))+~P1(f317(f317(f319(x98643),x98647),f317(f300(x98641,x98643,x98646),f317(f300(x98642,x98641,x98645),x98644)))) % 169.26/169.10 [10180]~P19(x101807,x101806,x101801)+E(f317(f317(x101801,x101802),f607(x101803,x101804,x101802,x101805,x101801,x101806,x101807)),x101803)+P1(f317(f317(f319(x101807),x101802),x101804))+~P1(f317(f60(x101807,x101806,x101801,x101805,f317(f317(f299(x101807),x101802),x101804)),x101803)) % 169.26/169.10 [10245]~P19(x102451,x102454,x102455)+P1(f317(f60(x102451,x102454,x102455,x102456,x102453),f607(x102457,x102453,x102452,x102456,x102455,x102454,x102451)))+P1(f317(f317(f319(x102451),x102452),x102453))+~P1(f317(f60(x102451,x102454,x102455,x102456,f317(f317(f299(x102451),x102452),x102453)),x102457)) % 169.26/169.10 [9922]E(x99221,f2(a1))+~P1(f317(f44(x99223,x99221),f317(f317(f242(a1,a1),x99225),x99227)))+~P1(f317(f44(x99222,x99221),f317(f317(f242(a1,a1),x99224),x99226)))+P1(f317(f44(f317(f317(f74(a1),x99222),x99223),x99221),f317(f317(f242(a1,a1),f317(f317(f74(a1),f317(f317(f74(a1),x99224),x99225)),f317(f317(f30(a1),f317(f317(f74(a1),x99226),x99227)),x99221))),f40(a1,f317(f317(f74(a1),x99226),x99227),x99221)))) % 169.26/169.10 [9924]~P1(f317(f317(f225(a897),f2(a897)),x99243))+~P1(f317(f43(x99242,x99243),f317(f317(f242(a897,a897),x99245),x99247)))+~P1(f317(f43(x99241,x99243),f317(f317(f242(a897,a897),x99244),x99246)))+P1(f317(f43(f317(f317(f74(a897),x99241),x99242),x99243),f317(f317(f242(a897,a897),f317(f317(f74(a897),f317(f317(f74(a897),x99244),x99245)),f317(f317(f30(a897),f317(f317(f74(a897),x99246),x99247)),x99243))),f40(a897,f317(f317(f74(a897),x99246),x99247),x99243)))) % 169.26/169.10 [10315]~P76(x103152)+~P1(f317(f28(x103153),x103155))+~P1(f317(f28(x103151),x103157))+E(f317(f317(f6(x103151,x103152),f317(f317(f18(x103151,f906(x103153,a894),x103152),f317(f317(f8(f906(x103153,x103152),f906(f906(x103153,a894),x103152),x103151),f6(x103153,x103152)),x103154)),f317(f317(f8(f906(x103153,a894),f906(x103153,a894),x103151),f252(x103153)),f317(f317(f8(f906(x103153,a894),f906(x103153,a894),x103151),f317(f18(x103153,a894,a894),f317(f317(f8(a894,f906(a894,a894),x103153),a315),f317(f317(f7(x103153,f906(x103153,a894),a894),f319(x103153)),x103155)))),x103156)))),x103157),f317(f317(f6(x103153,x103152),f317(f317(f18(x103153,f906(x103151,a894),x103152),f317(f317(f8(f906(x103151,x103152),f906(f906(x103151,a894),x103152),x103153),f6(x103151,x103152)),f317(f7(x103151,x103153,x103152),x103154))),f317(f317(f8(f906(x103151,a894),f906(x103151,a894),x103153),f252(x103151)),f317(f317(f8(f906(x103151,a894),f906(x103151,a894),x103153),f317(f18(x103151,a894,a894),f317(f317(f8(a894,f906(a894,a894),x103151),a315),f317(f317(f7(x103151,f906(x103151,a894),a894),f319(x103151)),x103157)))),f317(f7(x103151,x103153,a894),x103156))))),x103155)) % 169.26/169.10 [10266]~P24(x102668,x102667,x102666,x102665,x102661)+~E(f317(x102662,f837(x102664,x102662,x102663,x102661,x102665,x102666,x102667)),f317(x102664,f837(x102664,x102662,x102663,x102661,x102665,x102666,x102667)))+E(f317(f317(x102661,x102662),x102663),f317(f317(x102661,x102664),x102663))+~P1(f317(f28(x102667),x102663)) % 169.26/169.10 [9798]~P25(x97987,x97986,x97981,x97988,x97982,x97984)+E(f317(f317(x97981,f317(x97982,x97983)),f317(x97984,x97985)),f317(x97984,x97985))+~P1(f317(f28(x97986),x97985))+~P1(f317(f317(f319(x97986),x97983),x97985)) % 169.26/169.10 [9802]~P15(x98026,x98021,x98022,x98028,x98023,x98024)+~P11(x98026,x98027,x98028)+P14(x98021,x98022,x98023,f317(x98024,x98025))+~P1(f317(f317(f319(x98026),x98025),x98027)) % 169.26/169.10 [10288]~P24(x102888,x102885,x102887,x102886,x102881)+E(f317(f317(x102881,x102882),x102883),f317(f317(x102881,x102884),x102883))+~P1(f317(f28(x102885),x102883))+P1(f317(f317(f319(x102885),f837(x102882,x102884,x102883,x102881,x102886,x102887,x102885)),x102883)) % 169.26/169.10 [10365]~P1(f317(f317(x103651,x103656),x103655))+P1(f317(f317(x103651,f826(x103651,x103654,x103655,x103656,x103653,x103652,x103657,x103658)),f830(x103651,x103654,x103655,x103656,x103653,x103652,x103657,x103658)))+P1(f317(f317(x103651,x103652),x103653))+~P1(f317(f317(f319(f905(f905(x103658,x103657),f905(x103658,x103657))),f317(f317(f242(f905(x103658,x103657),f905(x103658,x103657)),f317(f317(f242(x103658,x103657),x103652),x103653)),f317(f317(f242(x103658,x103657),x103656),x103655))),f297(f905(x103658,x103657),x103654))) % 169.26/169.10 [10366]~P1(f317(f317(x103661,x103666),x103665))+P1(f317(f317(x103661,f817(x103661,x103664,x103663,x103662,x103665,x103666,x103667,x103668)),f818(x103661,x103664,x103663,x103662,x103665,x103666,x103667,x103668)))+P1(f317(f317(x103661,x103662),x103663))+~P1(f317(f317(f319(f905(f905(x103668,x103667),f905(x103668,x103667))),f317(f317(f242(f905(x103668,x103667),f905(x103668,x103667)),f317(f317(f242(x103668,x103667),x103666),x103665)),f317(f317(f242(x103668,x103667),x103662),x103663))),f297(f905(x103668,x103667),x103664))) % 169.26/169.10 [10376]~P1(f317(f317(x103761,f827(x103761,x103766,x103765,x103764,x103763,x103762,x103767,x103768)),f829(x103761,x103766,x103765,x103764,x103763,x103762,x103767,x103768)))+P1(f317(f317(x103761,x103762),x103763))+~P1(f317(f317(x103761,x103764),x103765))+~P1(f317(f317(f319(f905(f905(x103768,x103767),f905(x103768,x103767))),f317(f317(f242(f905(x103768,x103767),f905(x103768,x103767)),f317(f317(f242(x103768,x103767),x103762),x103763)),f317(f317(f242(x103768,x103767),x103764),x103765))),f297(f905(x103768,x103767),x103766))) % 169.26/169.10 [10377]~P1(f317(f317(x103771,f819(x103771,x103776,x103773,x103772,x103775,x103774,x103777,x103778)),f820(x103771,x103776,x103773,x103772,x103775,x103774,x103777,x103778)))+P1(f317(f317(x103771,x103772),x103773))+~P1(f317(f317(x103771,x103774),x103775))+~P1(f317(f317(f319(f905(f905(x103778,x103777),f905(x103778,x103777))),f317(f317(f242(f905(x103778,x103777),f905(x103778,x103777)),f317(f317(f242(x103778,x103777),x103774),x103775)),f317(f317(f242(x103778,x103777),x103772),x103773))),f297(f905(x103778,x103777),x103776))) % 169.26/169.10 [10390]~P1(f317(f317(x103901,x103906),x103907))+P1(f317(f317(x103901,x103902),x103903))+P1(f317(f317(f319(f905(f905(x103904,x103905),f905(x103904,x103905))),f317(f317(f242(f905(x103904,x103905),f905(x103904,x103905)),f317(f317(f242(x103904,x103905),x103906),x103907)),f317(f317(f242(x103904,x103905),f817(x103901,x103908,x103903,x103902,x103907,x103906,x103905,x103904)),f818(x103901,x103908,x103903,x103902,x103907,x103906,x103905,x103904)))),f297(f905(x103904,x103905),x103908)))+~P1(f317(f317(f319(f905(f905(x103904,x103905),f905(x103904,x103905))),f317(f317(f242(f905(x103904,x103905),f905(x103904,x103905)),f317(f317(f242(x103904,x103905),x103906),x103907)),f317(f317(f242(x103904,x103905),x103902),x103903))),f297(f905(x103904,x103905),x103908))) % 169.26/169.10 [10392]~P1(f317(f317(x103921,x103928),x103927))+P1(f317(f317(x103921,x103922),x103923))+P1(f317(f317(f319(f905(f905(x103924,x103925),f905(x103924,x103925))),f317(f317(f242(f905(x103924,x103925),f905(x103924,x103925)),f317(f317(f242(x103924,x103925),f826(x103921,x103926,x103927,x103928,x103923,x103922,x103925,x103924)),f830(x103921,x103926,x103927,x103928,x103923,x103922,x103925,x103924))),f317(f317(f242(x103924,x103925),x103928),x103927))),f297(f905(x103924,x103925),x103926)))+~P1(f317(f317(f319(f905(f905(x103924,x103925),f905(x103924,x103925))),f317(f317(f242(f905(x103924,x103925),f905(x103924,x103925)),f317(f317(f242(x103924,x103925),x103922),x103923)),f317(f317(f242(x103924,x103925),x103928),x103927))),f297(f905(x103924,x103925),x103926))) % 169.26/169.10 [9407]~P22(x94077,x94071,x94078,x94073)+~P1(f317(f28(x94077),x94075))+~P1(f317(f28(x94077),x94074))+E(f317(f67(x94071,x94071,x94072,f317(x94073,x94074)),f317(f67(x94071,x94071,x94072,f317(x94073,x94075)),x94076)),f317(f67(x94071,x94071,x94072,f317(x94073,x94075)),f317(f67(x94071,x94071,x94072,f317(x94073,x94074)),x94076))) % 169.26/169.10 [9416]~P36(x94161,x94162,x94163,x94164,x94167)+P36(x94161,x94162,x94163,f317(f317(f149(x94161,x94164),x94165),x94166),f317(f317(f149(x94162,x94167),x94165),x94168))+~P1(f317(f317(x94163,x94166),x94168))+~P1(f317(f317(f225(a897),x94165),f317(f179(f898(x94161)),x94164))) % 169.26/169.10 [9417]~P36(x94171,x94172,x94173,x94174,x94177)+P36(x94171,x94172,x94173,f317(f317(f149(x94171,x94174),x94175),x94176),f317(f317(f149(x94172,x94177),x94175),x94178))+~P1(f317(f317(x94173,x94176),x94178))+~P1(f317(f317(f225(a897),x94175),f317(f179(f898(x94172)),x94177))) % 169.26/169.10 [9496]~P27(x94962,x94962,x94965,x94966)+~P24(x94963,x94962,x94967,x94968,x94961)+~P1(f317(f28(x94962),x94966))+E(f317(f317(x94961,f317(f67(x94962,x94963,x94962,x94964),x94965)),x94966),f317(f317(x94961,x94964),f317(f300(x94962,x94962,x94965),x94966))) % 169.26/169.10 [9763]P28(x97631,x97632,x97633,x97634,x97635)+~P28(x97632,x97636,x97637,x97635,x97638)+~P28(x97631,x97636,f317(f67(x97632,x97636,x97631,x97637),x97633),x97634,x97638)+~P1(f317(f317(f224(f906(x97632,a894)),f317(f300(x97631,x97632,x97633),x97634)),x97635)) % 169.26/169.10 [9800]~P26(x98007,x98002,x98005,x98008,x98006,x98001)+~P1(f317(f28(x98002),x98004))+E(f317(x98001,f317(f317(f299(x98002),x98003),x98004)),f317(f317(x98005,f317(x98006,x98003)),f317(x98001,x98004)))+P1(f317(f317(f319(x98002),x98003),x98004)) % 169.26/169.10 [9811]~P25(x98116,x98115,x98111,x98117,x98118,x98112)+E(f317(f317(x98111,f317(x98112,x98113)),f317(x98112,x98114)),f317(x98112,x98114))+~P1(f317(f28(x98115),x98114))+~P1(f317(f317(f224(f906(x98115,a894)),x98113),x98114)) % 169.26/169.10 [9394]P1(f317(f317(f319(f905(f898(x93941),f898(x93941))),f317(f317(f242(f898(x93941),f898(x93941)),x93942),x93943)),f147(x93941,x93944)))+~E(x93943,f317(f317(f124(x93941),x93945),f317(f317(f141(x93941),x93946),x93947)))+~E(x93942,f317(f317(f124(x93941),x93945),f317(f317(f141(x93941),x93948),x93947)))+~P1(f317(f317(f319(f905(x93941,x93941)),f317(f317(f242(x93941,x93941),x93948),x93946)),x93944)) % 169.26/169.10 [9805]~P25(x98056,x98052,x98055,x98057,x98058,x98051)+~P1(f317(f28(x98052),x98054))+~P1(f317(f28(x98052),x98053))+E(f317(x98051,f317(f317(f91(f906(x98052,a894)),x98053),x98054)),f317(f317(x98055,f317(x98051,x98053)),f317(x98051,x98054))) % 169.26/169.10 [10355]~P27(x103554,x103552,x103555,x103558)+E(f317(f317(f35(x103551,f906(x103552,a894)),x103553),f317(f317(f8(f906(x103554,a894),f906(x103552,a894),x103551),f300(x103554,x103552,x103555)),x103556)),f317(f300(x103554,x103552,x103555),f317(f317(f35(x103551,f906(x103554,a894)),x103553),x103556)))+~P1(f317(f317(f319(x103551),x103557),x103553))+P1(f317(f317(f319(x103551),f598(x103557,x103556,x103553,x103551,x103558,x103555,x103552,x103554)),x103553)) % 169.26/169.10 [10381]~P27(x103814,x103812,x103815,x103817)+E(f317(f317(f35(x103811,f906(x103812,a894)),x103813),f317(f317(f8(f906(x103814,a894),f906(x103812,a894),x103811),f300(x103814,x103812,x103815)),x103816)),f317(f300(x103814,x103812,x103815),f317(f317(f35(x103811,f906(x103814,a894)),x103813),x103816)))+~P1(f317(f317(f319(x103811),x103818),x103813))+~P1(f317(f317(f224(f906(x103814,a894)),f317(x103816,f598(x103818,x103816,x103813,x103811,x103817,x103815,x103812,x103814))),x103817)) % 169.26/169.10 [10393]~P1(f317(f317(x103931,x103938),x103937))+P1(f317(f317(x103931,x103932),x103933))+~P1(f317(f317(f319(f905(f905(x103934,x103935),f905(x103934,x103935))),f317(f317(f242(f905(x103934,x103935),f905(x103934,x103935)),f317(f317(f242(x103934,x103935),x103932),x103933)),f317(f317(f242(x103934,x103935),x103938),x103937))),f297(f905(x103934,x103935),x103936)))+P1(f317(f317(f319(f905(f905(x103934,x103935),f905(x103934,x103935))),f317(f317(f242(f905(x103934,x103935),f905(x103934,x103935)),f317(f317(f242(x103934,x103935),f827(x103931,x103936,x103937,x103938,x103933,x103932,x103935,x103934)),f829(x103931,x103936,x103937,x103938,x103933,x103932,x103935,x103934))),f317(f317(f242(x103934,x103935),f826(x103931,x103936,x103937,x103938,x103933,x103932,x103935,x103934)),f830(x103931,x103936,x103937,x103938,x103933,x103932,x103935,x103934)))),x103936)) % 169.26/169.10 [10394]~P1(f317(f317(x103941,x103948),x103947))+P1(f317(f317(x103941,x103942),x103943))+~P1(f317(f317(f319(f905(f905(x103944,x103945),f905(x103944,x103945))),f317(f317(f242(f905(x103944,x103945),f905(x103944,x103945)),f317(f317(f242(x103944,x103945),x103948),x103947)),f317(f317(f242(x103944,x103945),x103942),x103943))),f297(f905(x103944,x103945),x103946)))+P1(f317(f317(f319(f905(f905(x103944,x103945),f905(x103944,x103945))),f317(f317(f242(f905(x103944,x103945),f905(x103944,x103945)),f317(f317(f242(x103944,x103945),f817(x103941,x103946,x103943,x103942,x103947,x103948,x103945,x103944)),f818(x103941,x103946,x103943,x103942,x103947,x103948,x103945,x103944))),f317(f317(f242(x103944,x103945),f819(x103941,x103946,x103943,x103942,x103947,x103948,x103945,x103944)),f820(x103941,x103946,x103943,x103942,x103947,x103948,x103945,x103944)))),x103946)) % 169.26/169.10 [9873]~P26(x98737,x98735,x98731,x98738,x98732,x98734)+~P1(f317(f28(x98735),x98736))+~P1(f317(f317(f319(x98735),x98733),x98736))+E(f317(f317(x98731,f317(x98732,x98733)),f317(x98734,f317(f317(f23(f906(x98735,a894)),x98736),f317(f317(f299(x98735),x98733),f178(f906(x98735,a894)))))),f317(x98734,x98736)) % 169.26/169.10 [9882]~P26(x98826,x98823,x98821,x98827,x98828,x98822)+~P1(f317(f28(x98823),x98825))+~P1(f317(f28(x98823),x98824))+E(f317(f317(x98821,f317(x98822,f317(f317(f91(f906(x98823,a894)),x98824),x98825))),f317(x98822,f317(f317(f92(f906(x98823,a894)),x98824),x98825))),f317(f317(x98821,f317(x98822,x98824)),f317(x98822,x98825))) % 169.26/169.10 [9964]P44(x99641,x99642,x99643,x99644,x99645,f317(f317(x99643,x99646),x99647))+~P44(x99641,x99642,x99643,x99644,f317(f317(f23(f906(x99641,a894)),x99645),f317(f317(f299(x99641),x99648),f178(f906(x99641,a894)))),x99649)+~E(f317(f317(x99643,x99646),x99647),f317(f317(x99643,x99648),x99649))+~P1(f317(f317(f319(x99641),x99648),x99645)) % 169.26/169.10 [9906]~P15(x99066,x99067,x99068,x99069,x990610,x99061)+E(f317(f317(x99061,x99062),x99063),f317(f317(x99061,x99064),x99065))+~P1(f317(f317(f319(f905(x99067,x99067)),f317(f317(f242(x99067,x99067),x99063),x99065)),x990610))+~P1(f317(f317(f319(f905(x99066,x99066)),f317(f317(f242(x99066,x99066),x99062),x99064)),x99069)) % 169.26/169.10 [9500]~P101(x95002)+E(x95001,f178(f906(x95002,a894)))+~P1(f317(f28(x95002),x95001))+P1(f317(f317(f319(x95002),f13(x95002,x95001)),x95001))+~P1(f317(f317(f319(x95002),f317(f317(f91(x95002),f336(x95001,x95002)),f341(x95001,x95002))),f317(f317(f299(x95002),f336(x95001,x95002)),f317(f317(f299(x95002),f341(x95001,x95002)),f178(f906(x95002,a894)))))) % 169.26/169.10 [9501]~P101(x95012)+E(x95011,f178(f906(x95012,a894)))+~P1(f317(f28(x95012),x95011))+P1(f317(f317(f319(x95012),f10(x95012,x95011)),x95011))+~P1(f317(f317(f319(x95012),f317(f317(f92(x95012),f415(x95011,x95012)),f422(x95011,x95012))),f317(f317(f299(x95012),f415(x95011,x95012)),f317(f317(f299(x95012),f422(x95011,x95012)),f178(f906(x95012,a894)))))) % 169.26/169.10 [9532]~P74(x95322)+E(x95321,f178(f906(x95322,a894)))+~P1(f317(f28(x95322),x95321))+P1(f317(f317(f319(x95322),f317(f57(x95322,f75(x95322)),x95321)),x95321))+~P1(f317(f317(f319(x95322),f317(f317(f75(x95322),f797(x95321,x95322)),f812(x95321,x95322))),f317(f317(f299(x95322),f797(x95321,x95322)),f317(f317(f299(x95322),f812(x95321,x95322)),f178(f906(x95322,a894)))))) % 169.26/169.10 [9537]~P4(x95372)+E(x95371,f178(f906(x95372,a894)))+~P1(f317(f28(x95372),x95371))+P1(f317(f317(f319(x95372),f11(x95372,f228(x95372),x95371)),x95371))+~P1(f317(f317(f319(x95372),f317(f317(f228(x95372),f876(x95371,x95372)),f877(x95371,x95372))),f317(f317(f299(x95372),f876(x95371,x95372)),f317(f317(f299(x95372),f877(x95371,x95372)),f178(f906(x95372,a894)))))) % 169.26/169.10 [9538]~P4(x95382)+E(x95381,f178(f906(x95382,a894)))+~P1(f317(f28(x95382),x95381))+P1(f317(f317(f319(x95382),f12(x95382,f223(x95382),x95381)),x95381))+~P1(f317(f317(f319(x95382),f317(f317(f223(x95382),f334(x95381,x95382)),f335(x95381,x95382))),f317(f317(f299(x95382),f334(x95381,x95382)),f317(f317(f299(x95382),f335(x95381,x95382)),f178(f906(x95382,a894)))))) % 169.26/169.10 [6634]~P86(x66342)+E(x66341,f2(x66342))+~E(f317(f317(f74(x66342),x66343),x66341),f2(x66342))+~P1(f317(f317(f224(x66342),f2(x66342)),x66343))+~P1(f317(f317(f224(x66342),f2(x66342)),x66341)) % 169.26/169.10 [6635]~P86(x66352)+E(x66351,f2(x66352))+~E(f317(f317(f74(x66352),x66351),x66353),f2(x66352))+~P1(f317(f317(f224(x66352),f2(x66352)),x66353))+~P1(f317(f317(f224(x66352),f2(x66352)),x66351)) % 169.26/169.10 [7180]~P4(x71802)+~P16(x71802,x71801)+E(x71801,f103(x71802))+~P1(f317(f317(f319(x71802),x71803),f317(f162(x71802),f686(x71801,x71802))))+P1(f317(f317(f224(x71802),f706(x71801,x71802)),x71803)) % 169.26/169.10 [7349]~P4(x73491)+E(f14(x73491,x73492),x73493)+~P1(f317(f28(x73491),x73492))+~P1(f317(f317(f224(x73491),x73493),f548(x73493,x73492,x73491)))+~P1(f317(f317(f319(x73491),x73493),x73492)) % 169.26/169.10 [7382]~P4(x73821)+~P16(x73821,x73822)+~P16(x73821,x73823)+P16(x73821,f317(f317(f124(x73821),x73822),x73823))+P1(f317(f317(f319(x73821),f692(x73823,x73822,x73821)),f317(f162(x73821),x73822))) % 169.26/169.10 [7383]~P4(x73831)+~P16(x73831,x73832)+~P16(x73831,x73833)+P16(x73831,f317(f317(f124(x73831),x73832),x73833))+P1(f317(f317(f319(x73831),f694(x73833,x73832,x73831)),f317(f162(x73831),x73833))) % 169.26/169.10 [7446]~P4(x74461)+E(f14(x74461,x74462),x74463)+~P1(f317(f28(x74461),x74462))+P1(f317(f317(f319(x74461),f548(x74463,x74462,x74461)),x74462))+~P1(f317(f317(f319(x74461),x74463),x74462)) % 169.26/169.10 [7447]~P4(x74471)+E(f15(x74471,x74472),x74473)+~P1(f317(f28(x74471),x74472))+P1(f317(f317(f319(x74471),f546(x74473,x74472,x74471)),x74472))+~P1(f317(f317(f319(x74471),x74473),x74472)) % 169.26/169.10 [8020]~P4(x80201)+E(f15(x80201,x80202),x80203)+~P1(f317(f28(x80201),x80202))+~P1(f317(f317(f319(x80201),x80203),x80202))+~P1(f317(f317(f224(x80201),f546(x80203,x80202,x80201)),x80203)) % 169.26/169.10 [8338]~P4(x83381)+~P16(x83381,x83382)+~P16(x83381,x83383)+P16(x83381,f317(f317(f124(x83381),x83382),x83383))+~P1(f317(f317(f224(x83381),f692(x83383,x83382,x83381)),f694(x83383,x83382,x83381))) % 169.26/169.10 [9131]~P4(x91312)+E(x91311,f178(f906(x91312,a894)))+~E(f317(f317(f228(x91312),f317(x91313,f337(x91311,x91313,x91312))),f317(x91313,f345(x91311,x91313,x91312))),f317(x91313,f317(f317(f228(x91312),f337(x91311,x91313,x91312)),f345(x91311,x91313,x91312))))+E(f14(x91312,f317(f300(x91312,x91312,x91313),x91311)),f317(x91313,f14(x91312,x91311)))+~P1(f317(f28(x91312),x91311)) % 169.26/169.10 [9132]~P4(x91322)+E(x91321,f178(f906(x91322,a894)))+~E(f317(f317(f223(x91322),f317(x91323,f338(x91321,x91323,x91322))),f317(x91323,f344(x91321,x91323,x91322))),f317(x91323,f317(f317(f223(x91322),f338(x91321,x91323,x91322)),f344(x91321,x91323,x91322))))+E(f15(x91322,f317(f300(x91322,x91322,x91323),x91321)),f317(x91323,f15(x91322,x91321)))+~P1(f317(f28(x91322),x91321)) % 169.26/169.10 [9133]~P101(x91332)+E(x91331,f178(f906(x91332,a894)))+~E(f317(f317(f91(x91332),f317(x91333,f346(x91331,x91333,x91332))),f317(x91333,f347(x91331,x91333,x91332))),f317(x91333,f317(f317(f91(x91332),f346(x91331,x91333,x91332)),f347(x91331,x91333,x91332))))+E(f13(x91332,f317(f300(x91332,x91332,x91333),x91331)),f317(x91333,f13(x91332,x91331)))+~P1(f317(f28(x91332),x91331)) % 169.26/169.10 [9134]~P101(x91342)+E(x91341,f178(f906(x91342,a894)))+~E(f317(f317(f92(x91342),f317(x91343,f424(x91341,x91343,x91342))),f317(x91343,f425(x91341,x91343,x91342))),f317(x91343,f317(f317(f92(x91342),f424(x91341,x91343,x91342)),f425(x91341,x91343,x91342))))+E(f10(x91342,f317(f300(x91342,x91342,x91343),x91341)),f317(x91343,f10(x91342,x91341)))+~P1(f317(f28(x91342),x91341)) % 169.26/169.10 [9202]~P4(x92022)+E(x92021,f178(f906(x92022,a894)))+~E(f317(f317(f228(x92022),f317(x92023,f339(x92021,x92023,x92022))),f317(x92023,f343(x92021,x92023,x92022))),f317(x92023,f317(f317(f228(x92022),f339(x92021,x92023,x92022)),f343(x92021,x92023,x92022))))+E(f11(x92022,f228(x92022),f317(f300(x92022,x92022,x92023),x92021)),f317(x92023,f11(x92022,f228(x92022),x92021)))+~P1(f317(f28(x92022),x92021)) % 169.26/169.10 [9203]~P4(x92032)+E(x92031,f178(f906(x92032,a894)))+~E(f317(f317(f223(x92032),f317(x92033,f340(x92031,x92033,x92032))),f317(x92033,f342(x92031,x92033,x92032))),f317(x92033,f317(f317(f223(x92032),f340(x92031,x92033,x92032)),f342(x92031,x92033,x92032))))+E(f12(x92032,f223(x92032),f317(f300(x92032,x92032,x92033),x92031)),f317(x92033,f12(x92032,f223(x92032),x92031)))+~P1(f317(f28(x92032),x92031)) % 169.26/169.10 [6651]~P74(x66512)+E(x66511,f178(f906(x66512,a894)))+~P1(f317(f28(x66512),x66511))+E(f317(f57(x66512,f75(x66512)),f317(f317(f299(x66512),x66513),x66511)),f317(f317(f75(x66512),x66513),f317(f57(x66512,f75(x66512)),x66511)))+P1(f317(f317(f319(x66512),x66513),x66511)) % 169.26/169.10 [7186]~P4(x71862)+E(f317(f317(f228(x71862),f14(x71862,x71861)),f14(x71862,x71863)),f14(x71862,x71863))+E(x71861,f178(f906(x71862,a894)))+~P1(f317(f28(x71862),x71863))+~P1(f317(f317(f224(f906(x71862,a894)),x71861),x71863)) % 169.26/169.10 [7187]~P4(x71872)+E(f317(f317(f223(x71872),f15(x71872,x71871)),f15(x71872,x71873)),f15(x71872,x71873))+E(x71871,f178(f906(x71872,a894)))+~P1(f317(f28(x71872),x71873))+~P1(f317(f317(f224(f906(x71872,a894)),x71871),x71873)) % 169.26/169.10 [7188]~P101(x71882)+E(f317(f317(f91(x71882),f13(x71882,x71881)),f13(x71882,x71883)),f13(x71882,x71883))+E(x71881,f178(f906(x71882,a894)))+~P1(f317(f28(x71882),x71883))+~P1(f317(f317(f224(f906(x71882,a894)),x71881),x71883)) % 169.26/169.10 [7189]~P101(x71892)+E(f317(f317(f92(x71892),f10(x71892,x71891)),f10(x71892,x71893)),f10(x71892,x71893))+E(x71891,f178(f906(x71892,a894)))+~P1(f317(f28(x71892),x71893))+~P1(f317(f317(f224(f906(x71892,a894)),x71891),x71893)) % 169.26/169.10 [7494]~P4(x74942)+E(x74941,f178(f906(x74942,a894)))+~P1(f317(f28(x74942),x74943))+P1(f317(f317(f224(x74942),f14(x74942,x74943)),f14(x74942,x74941)))+~P1(f317(f317(f224(f906(x74942,a894)),x74941),x74943)) % 169.26/169.10 [7495]~P4(x74952)+E(x74951,f178(f906(x74952,a894)))+~P1(f317(f28(x74952),x74953))+P1(f317(f317(f224(x74952),f15(x74952,x74951)),f15(x74952,x74953)))+~P1(f317(f317(f224(f906(x74952,a894)),x74951),x74953)) % 169.26/169.10 [7549]~P4(x75491)+E(f14(x75491,x75492),x75493)+~P1(f317(f28(x75491),x75492))+~E(f317(f317(f23(f906(x75491,a894)),x75492),f317(f317(f299(x75491),x75493),f178(f906(x75491,a894)))),f178(f906(x75491,a894)))+~P1(f317(f317(f319(x75491),x75493),x75492)) % 169.26/169.10 [7550]~P4(x75501)+E(f15(x75501,x75502),x75503)+~P1(f317(f28(x75501),x75502))+~E(f317(f317(f23(f906(x75501,a894)),x75502),f317(f317(f299(x75501),x75503),f178(f906(x75501,a894)))),f178(f906(x75501,a894)))+~P1(f317(f317(f319(x75501),x75503),x75502)) % 169.26/169.10 [7551]~P101(x75511)+E(f13(x75511,x75512),x75513)+~P1(f317(f28(x75511),x75512))+~E(f317(f317(f23(f906(x75511,a894)),x75512),f317(f317(f299(x75511),x75513),f178(f906(x75511,a894)))),f178(f906(x75511,a894)))+~P1(f317(f317(f319(x75511),x75513),x75512)) % 169.26/169.10 [7552]~P101(x75521)+E(f10(x75521,x75522),x75523)+~P1(f317(f28(x75521),x75522))+~E(f317(f317(f23(f906(x75521,a894)),x75522),f317(f317(f299(x75521),x75523),f178(f906(x75521,a894)))),f178(f906(x75521,a894)))+~P1(f317(f317(f319(x75521),x75523),x75522)) % 169.26/169.10 [7648]~P4(x76481)+E(f11(x76481,f228(x76481),x76482),x76483)+~P1(f317(f28(x76481),x76482))+~E(f317(f317(f23(f906(x76481,a894)),x76482),f317(f317(f299(x76481),x76483),f178(f906(x76481,a894)))),f178(f906(x76481,a894)))+~P1(f317(f317(f319(x76481),x76483),x76482)) % 169.26/169.10 [7649]~P4(x76491)+E(f12(x76491,f223(x76491),x76492),x76493)+~P1(f317(f28(x76491),x76492))+~E(f317(f317(f23(f906(x76491,a894)),x76492),f317(f317(f299(x76491),x76493),f178(f906(x76491,a894)))),f178(f906(x76491,a894)))+~P1(f317(f317(f319(x76491),x76493),x76492)) % 169.26/169.10 [7684]~P4(x76842)+E(x76841,f178(f906(x76842,a894)))+~P1(f317(f28(x76842),x76841))+~P1(f317(f317(f224(x76842),x76843),f854(x76843,x76841,x76842)))+P1(f317(f317(f224(x76842),x76843),f317(f57(x76842,f228(x76842)),x76841))) % 169.26/169.10 [7685]~P106(x76852)+E(x76851,f178(f906(x76852,a894)))+~P1(f317(f28(x76852),x76851))+~P1(f317(f317(f224(x76852),x76853),f401(x76853,x76851,x76852)))+P1(f317(f317(f224(x76852),x76853),f317(f57(x76852,f92(x76852)),x76851))) % 169.26/169.10 [7686]~P4(x76862)+E(x76861,f178(f906(x76862,a894)))+~P1(f317(f28(x76862),x76861))+~P1(f317(f317(f225(x76862),x76863),f855(x76863,x76861,x76862)))+P1(f317(f317(f225(x76862),x76863),f317(f57(x76862,f228(x76862)),x76861))) % 169.26/169.10 [7773]~P4(x77732)+E(x77731,f178(f906(x77732,a894)))+~P1(f317(f28(x77732),x77731))+P1(f317(f317(f319(x77732),f855(x77733,x77731,x77732)),x77731))+P1(f317(f317(f225(x77732),x77733),f317(f57(x77732,f228(x77732)),x77731))) % 169.26/169.10 [7774]~P4(x77742)+E(x77741,f178(f906(x77742,a894)))+~P1(f317(f28(x77742),x77741))+P1(f317(f317(f319(x77742),f854(x77743,x77741,x77742)),x77741))+P1(f317(f317(f224(x77742),x77743),f317(f57(x77742,f228(x77742)),x77741))) % 169.26/169.10 [7775]~P106(x77752)+E(x77751,f178(f906(x77752,a894)))+~P1(f317(f28(x77752),x77751))+P1(f317(f317(f319(x77752),f401(x77753,x77751,x77752)),x77751))+P1(f317(f317(f224(x77752),x77753),f317(f57(x77752,f92(x77752)),x77751))) % 169.26/169.10 [7897]~P4(x78972)+E(x78971,f178(f906(x78972,a894)))+E(f317(f317(f228(x78972),f11(x78972,f228(x78972),x78971)),f11(x78972,f228(x78972),x78973)),f11(x78972,f228(x78972),x78973))+~P1(f317(f28(x78972),x78973))+~P1(f317(f317(f224(f906(x78972,a894)),x78971),x78973)) % 169.26/169.10 [7898]~P4(x78982)+E(x78981,f178(f906(x78982,a894)))+E(f317(f317(f223(x78982),f12(x78982,f223(x78982),x78981)),f12(x78982,f223(x78982),x78983)),f12(x78982,f223(x78982),x78983))+~P1(f317(f28(x78982),x78983))+~P1(f317(f317(f224(f906(x78982,a894)),x78981),x78983)) % 169.26/169.10 [8097]~E(f595(x80971,x80973,x80972),f596(x80971,x80973,x80972))+~E(f317(f29(x80972),f597(x80971,x80973,x80972)),x80971)+E(f317(f317(f75(a897),x80971),f317(f29(f906(x80972,a894)),x80973)),f317(f29(x80972),f31(f906(x80972,a894),x80973)))+~P1(f317(f28(x80972),f31(f906(x80972,a894),x80973)))+~P1(f317(f28(f906(x80972,a894)),x80973)) % 169.26/169.10 [8278]~P4(x82782)+E(x82781,f178(f906(x82782,a894)))+~P1(f317(f28(x82782),x82783))+P1(f317(f317(f224(x82782),f317(f57(x82782,f228(x82782)),x82783)),f317(f57(x82782,f228(x82782)),x82781)))+~P1(f317(f317(f224(f906(x82782,a894)),x82781),x82783)) % 169.26/169.10 [8578]~E(f595(x85781,x85783,x85782),f596(x85781,x85783,x85782))+E(f317(f317(f75(a897),x85781),f317(f29(f906(x85782,a894)),x85783)),f317(f29(x85782),f31(f906(x85782,a894),x85783)))+P1(f317(f317(f319(f906(x85782,a894)),f597(x85781,x85783,x85782)),x85783))+~P1(f317(f28(x85782),f31(f906(x85782,a894),x85783)))+~P1(f317(f28(f906(x85782,a894)),x85783)) % 169.26/169.10 [8604]~E(f317(f29(x86042),f597(x86041,x86043,x86042)),x86041)+E(f317(f317(f75(a897),x86041),f317(f29(f906(x86042,a894)),x86043)),f317(f29(x86042),f31(f906(x86042,a894),x86043)))+P1(f317(f317(f319(f906(x86042,a894)),f596(x86041,x86043,x86042)),x86043))+~P1(f317(f28(x86042),f31(f906(x86042,a894),x86043)))+~P1(f317(f28(f906(x86042,a894)),x86043)) % 169.26/169.10 [8605]~E(f317(f29(x86052),f597(x86051,x86053,x86052)),x86051)+E(f317(f317(f75(a897),x86051),f317(f29(f906(x86052,a894)),x86053)),f317(f29(x86052),f31(f906(x86052,a894),x86053)))+P1(f317(f317(f319(f906(x86052,a894)),f595(x86051,x86053,x86052)),x86053))+~P1(f317(f28(x86052),f31(f906(x86052,a894),x86053)))+~P1(f317(f28(f906(x86052,a894)),x86053)) % 169.26/169.10 [8630]~E(f317(f29(x86302),f597(x86301,x86303,x86302)),x86301)+~E(f317(f317(f92(f906(x86302,a894)),f596(x86301,x86303,x86302)),f595(x86301,x86303,x86302)),f178(f906(x86302,a894)))+E(f317(f317(f75(a897),x86301),f317(f29(f906(x86302,a894)),x86303)),f317(f29(x86302),f31(f906(x86302,a894),x86303)))+~P1(f317(f28(f906(x86302,a894)),x86303))+~P1(f317(f28(x86302),f31(f906(x86302,a894),x86303))) % 169.26/169.10 [8894]E(f317(f317(f75(a897),x88941),f317(f29(f906(x88942,a894)),x88943)),f317(f29(x88942),f31(f906(x88942,a894),x88943)))+P1(f317(f317(f319(f906(x88942,a894)),f597(x88941,x88943,x88942)),x88943))+P1(f317(f317(f319(f906(x88942,a894)),f596(x88941,x88943,x88942)),x88943))+~P1(f317(f28(f906(x88942,a894)),x88943))+~P1(f317(f28(x88942),f31(f906(x88942,a894),x88943))) % 169.26/169.10 [8895]E(f317(f317(f75(a897),x88951),f317(f29(f906(x88952,a894)),x88953)),f317(f29(x88952),f31(f906(x88952,a894),x88953)))+P1(f317(f317(f319(f906(x88952,a894)),f597(x88951,x88953,x88952)),x88953))+P1(f317(f317(f319(f906(x88952,a894)),f595(x88951,x88953,x88952)),x88953))+~P1(f317(f28(f906(x88952,a894)),x88953))+~P1(f317(f28(x88952),f31(f906(x88952,a894),x88953))) % 169.26/169.10 [8921]~E(f317(f317(f92(f906(x89212,a894)),f596(x89211,x89213,x89212)),f595(x89211,x89213,x89212)),f178(f906(x89212,a894)))+E(f317(f317(f75(a897),x89211),f317(f29(f906(x89212,a894)),x89213)),f317(f29(x89212),f31(f906(x89212,a894),x89213)))+~P1(f317(f28(f906(x89212,a894)),x89213))+P1(f317(f317(f319(f906(x89212,a894)),f597(x89211,x89213,x89212)),x89213))+~P1(f317(f28(x89212),f31(f906(x89212,a894),x89213))) % 169.26/169.10 [9177]~P99(x91772)+E(x91771,f178(f906(x91772,a894)))+~E(f317(f317(f75(x91772),f317(x91773,f833(x91771,x91773,x91772))),f317(x91773,f845(x91771,x91773,x91772))),f317(x91773,f317(f317(f75(x91772),f833(x91771,x91773,x91772)),f845(x91771,x91773,x91772))))+~P1(f317(f28(x91772),x91771))+E(f317(f57(x91772,f75(x91772)),f317(f300(x91772,x91772,x91773),x91771)),f317(x91773,f317(f57(x91772,f75(x91772)),x91771))) % 169.26/169.10 [10122]P1(f317(f317(x101221,x101222),x101223))+P1(f317(f317(f225(a1),f887(x101221,x101223,x101222)),f888(x101221,x101223,x101222)))+P1(f317(f317(f224(a1),f888(x101221,x101223,x101222)),f2(a1)))+P1(f317(f317(x101221,f887(x101221,x101223,x101222)),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(x101221,x101223,x101222))))+~P1(f317(f305(f905(a1,a1),a53),f317(f317(f242(a1,a1),x101222),x101223))) % 169.26/169.10 [10128]P1(f317(f317(x101281,x101282),x101283))+P1(f317(f317(f224(a1),f884(x101281,x101283,x101282)),f2(a1)))+P1(f317(f317(x101281,f883(x101281,x101283,x101282)),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)))),f884(x101281,x101283,x101282))))+P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f883(x101281,x101283,x101282)),f884(x101281,x101283,x101282))))+~P1(f317(f305(f905(a1,a1),a47),f317(f317(f242(a1,a1),x101282),x101283))) % 169.26/169.10 [8069]~P111(x80691)+~P1(f317(f317(f224(x80691),x80692),f72(x80691)))+~P1(f317(f317(f224(x80691),f2(x80691)),x80692))+~P1(f317(f317(f224(x80691),f2(x80691)),x80693))+P1(f317(f317(f224(x80691),f317(f317(f75(x80691),x80692),x80693)),x80693)) % 169.26/169.10 [8070]~P111(x80701)+~P1(f317(f317(f224(x80701),x80703),f72(x80701)))+~P1(f317(f317(f224(x80701),f2(x80701)),x80703))+~P1(f317(f317(f224(x80701),f2(x80701)),x80702))+P1(f317(f317(f224(x80701),f317(f317(f75(x80701),x80702),x80703)),x80702)) % 169.26/169.10 [8424]~P4(x84242)+E(x84241,f178(f906(x84242,a894)))+~P1(f317(f28(x84242),x84241))+P1(f317(f317(f224(x84242),f857(x84243,x84241,x84242)),x84243))+~P1(f317(f317(f224(x84242),f317(f57(x84242,f228(x84242)),x84241)),x84243)) % 169.26/169.10 [8425]~P4(x84252)+E(x84251,f178(f906(x84252,a894)))+~P1(f317(f28(x84252),x84251))+P1(f317(f317(f319(x84252),f856(x84253,x84251,x84252)),x84251))+~P1(f317(f317(f225(x84252),f317(f57(x84252,f228(x84252)),x84251)),x84253)) % 169.26/169.10 [8426]~P4(x84262)+E(x84261,f178(f906(x84262,a894)))+~P1(f317(f28(x84262),x84261))+P1(f317(f317(f319(x84262),f857(x84263,x84261,x84262)),x84261))+~P1(f317(f317(f224(x84262),f317(f57(x84262,f228(x84262)),x84261)),x84263)) % 169.26/169.10 [8427]~P4(x84272)+E(x84271,f178(f906(x84272,a894)))+~P1(f317(f28(x84272),x84271))+P1(f317(f317(f225(x84272),f856(x84273,x84271,x84272)),x84273))+~P1(f317(f317(f225(x84272),f317(f57(x84272,f228(x84272)),x84271)),x84273)) % 169.26/169.10 [8513]~P1(f317(x85131,x85133))+P1(f317(x85131,f384(x85131,x85132)))+P1(f317(x85131,f383(x85131,x85132)))+~P1(f317(f317(f225(a1),f2(a1)),x85132))+P1(f317(x85131,f317(f317(f23(a1),f383(x85131,x85132)),f317(f317(f75(a1),f385(x85131,x85132)),x85132)))) % 169.26/169.10 [8731]~P1(f317(x87311,x87313))+P1(f317(x87311,f383(x87311,x87312)))+~P1(f317(f317(f225(a1),f2(a1)),x87312))+P1(f317(f317(f319(a1),f384(x87311,x87312)),f293(a1,f72(a1),x87312)))+P1(f317(x87311,f317(f317(f23(a1),f383(x87311,x87312)),f317(f317(f75(a1),f385(x87311,x87312)),x87312)))) % 169.26/169.10 [8943]~P1(f317(x89431,x89433))+~P1(f317(x89431,f383(x89431,x89432)))+P1(f317(x89431,f384(x89431,x89432)))+~P1(f317(f317(f225(a1),f2(a1)),x89432))+~P1(f317(x89431,f317(f317(f23(a1),f383(x89431,x89432)),f317(f317(f75(a1),f385(x89431,x89432)),x89432)))) % 169.26/169.10 [9067]~P1(f317(x90671,x90673))+~P1(f317(x90671,f383(x90671,x90672)))+~P1(f317(f317(f225(a1),f2(a1)),x90672))+P1(f317(f317(f319(a1),f384(x90671,x90672)),f293(a1,f72(a1),x90672)))+~P1(f317(x90671,f317(f317(f23(a1),f383(x90671,x90672)),f317(f317(f75(a1),f385(x90671,x90672)),x90672)))) % 169.26/169.10 [8849]~P4(x88491)+~P1(f317(f28(x88491),x88492))+E(f317(f317(f23(f906(x88491,a894)),x88492),f317(f317(f299(x88491),x88493),f178(f906(x88491,a894)))),f178(f906(x88491,a894)))+~P1(f317(f317(f319(x88491),x88493),x88492))+E(f317(f317(f228(x88491),x88493),f14(x88491,f317(f317(f23(f906(x88491,a894)),x88492),f317(f317(f299(x88491),x88493),f178(f906(x88491,a894)))))),f14(x88491,x88492)) % 169.26/169.10 [8850]~P4(x88501)+~P1(f317(f28(x88501),x88502))+E(f317(f317(f23(f906(x88501,a894)),x88502),f317(f317(f299(x88501),x88503),f178(f906(x88501,a894)))),f178(f906(x88501,a894)))+~P1(f317(f317(f319(x88501),x88503),x88502))+E(f317(f317(f223(x88501),x88503),f15(x88501,f317(f317(f23(f906(x88501,a894)),x88502),f317(f317(f299(x88501),x88503),f178(f906(x88501,a894)))))),f15(x88501,x88502)) % 169.26/169.10 [8851]~P101(x88511)+~P1(f317(f28(x88511),x88512))+E(f317(f317(f23(f906(x88511,a894)),x88512),f317(f317(f299(x88511),x88513),f178(f906(x88511,a894)))),f178(f906(x88511,a894)))+~P1(f317(f317(f319(x88511),x88513),x88512))+E(f317(f317(f91(x88511),x88513),f13(x88511,f317(f317(f23(f906(x88511,a894)),x88512),f317(f317(f299(x88511),x88513),f178(f906(x88511,a894)))))),f13(x88511,x88512)) % 169.26/169.10 [8852]~P101(x88521)+~P1(f317(f28(x88521),x88522))+E(f317(f317(f23(f906(x88521,a894)),x88522),f317(f317(f299(x88521),x88523),f178(f906(x88521,a894)))),f178(f906(x88521,a894)))+~P1(f317(f317(f319(x88521),x88523),x88522))+E(f317(f317(f92(x88521),x88523),f10(x88521,f317(f317(f23(f906(x88521,a894)),x88522),f317(f317(f299(x88521),x88523),f178(f906(x88521,a894)))))),f10(x88521,x88522)) % 169.26/169.10 [8914]~P4(x89141)+~P1(f317(f28(x89141),x89142))+E(f317(f317(f23(f906(x89141,a894)),x89142),f317(f317(f299(x89141),x89143),f178(f906(x89141,a894)))),f178(f906(x89141,a894)))+~P1(f317(f317(f319(x89141),x89143),x89142))+E(f317(f317(f228(x89141),x89143),f11(x89141,f228(x89141),f317(f317(f23(f906(x89141,a894)),x89142),f317(f317(f299(x89141),x89143),f178(f906(x89141,a894)))))),f11(x89141,f228(x89141),x89142)) % 169.26/169.10 [8915]~P4(x89151)+~P1(f317(f28(x89151),x89152))+E(f317(f317(f23(f906(x89151,a894)),x89152),f317(f317(f299(x89151),x89153),f178(f906(x89151,a894)))),f178(f906(x89151,a894)))+~P1(f317(f317(f319(x89151),x89153),x89152))+E(f317(f317(f223(x89151),x89153),f12(x89151,f223(x89151),f317(f317(f23(f906(x89151,a894)),x89152),f317(f317(f299(x89151),x89153),f178(f906(x89151,a894)))))),f12(x89151,f223(x89151),x89152)) % 169.26/169.10 [8930]~P4(x89301)+~P1(f317(f28(x89301),x89303))+~P1(f317(f28(x89301),x89302))+E(f317(f317(f92(f906(x89301,a894)),x89302),x89303),f178(f906(x89301,a894)))+E(f317(f317(f228(x89301),f14(x89301,f317(f317(f91(f906(x89301,a894)),x89302),x89303))),f14(x89301,f317(f317(f92(f906(x89301,a894)),x89302),x89303))),f317(f317(f228(x89301),f14(x89301,x89302)),f14(x89301,x89303))) % 169.26/169.10 [8931]~P4(x89311)+~P1(f317(f28(x89311),x89313))+~P1(f317(f28(x89311),x89312))+E(f317(f317(f92(f906(x89311,a894)),x89312),x89313),f178(f906(x89311,a894)))+E(f317(f317(f223(x89311),f15(x89311,f317(f317(f91(f906(x89311,a894)),x89312),x89313))),f15(x89311,f317(f317(f92(f906(x89311,a894)),x89312),x89313))),f317(f317(f223(x89311),f15(x89311,x89312)),f15(x89311,x89313))) % 169.26/169.10 [8932]~P101(x89321)+~P1(f317(f28(x89321),x89323))+~P1(f317(f28(x89321),x89322))+E(f317(f317(f92(f906(x89321,a894)),x89322),x89323),f178(f906(x89321,a894)))+E(f317(f317(f91(x89321),f13(x89321,f317(f317(f91(f906(x89321,a894)),x89322),x89323))),f13(x89321,f317(f317(f92(f906(x89321,a894)),x89322),x89323))),f317(f317(f91(x89321),f13(x89321,x89322)),f13(x89321,x89323))) % 169.26/169.10 [8933]~P101(x89331)+~P1(f317(f28(x89331),x89333))+~P1(f317(f28(x89331),x89332))+E(f317(f317(f92(f906(x89331,a894)),x89332),x89333),f178(f906(x89331,a894)))+E(f317(f317(f92(x89331),f10(x89331,f317(f317(f91(f906(x89331,a894)),x89332),x89333))),f10(x89331,f317(f317(f92(f906(x89331,a894)),x89332),x89333))),f317(f317(f92(x89331),f10(x89331,x89332)),f10(x89331,x89333))) % 169.26/169.10 [9149]~P4(x91491)+~P1(f317(f28(x91491),x91493))+~P1(f317(f28(x91491),x91492))+E(f317(f317(f92(f906(x91491,a894)),x91492),x91493),f178(f906(x91491,a894)))+E(f317(f317(f228(x91491),f11(x91491,f228(x91491),f317(f317(f91(f906(x91491,a894)),x91492),x91493))),f11(x91491,f228(x91491),f317(f317(f92(f906(x91491,a894)),x91492),x91493))),f317(f317(f228(x91491),f11(x91491,f228(x91491),x91492)),f11(x91491,f228(x91491),x91493))) % 169.26/169.10 [9150]~P4(x91501)+~P1(f317(f28(x91501),x91503))+~P1(f317(f28(x91501),x91502))+E(f317(f317(f92(f906(x91501,a894)),x91502),x91503),f178(f906(x91501,a894)))+E(f317(f317(f223(x91501),f12(x91501,f223(x91501),f317(f317(f91(f906(x91501,a894)),x91502),x91503))),f12(x91501,f223(x91501),f317(f317(f92(f906(x91501,a894)),x91502),x91503))),f317(f317(f223(x91501),f12(x91501,f223(x91501),x91502)),f12(x91501,f223(x91501),x91503))) % 169.26/169.10 [9961]~P110(x99613)+E(x99611,x99612)+~P1(f317(f317(f224(x99613),f2(x99613)),x99612))+~P1(f317(f317(f224(x99613),f2(x99613)),x99611))+~E(f317(f317(f234(x99613),x99611),f317(f94(a897),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(x99613),x99612),f317(f94(a897),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))))) % 169.26/169.10 [5965]~P6(x59652)+E(x59651,f2(x59652))+~E(f317(f317(f30(x59652),x59653),x59651),x59654)+E(x59653,f317(f317(f75(x59652),x59654),x59651))+~P1(f317(f317(f277(x59652),x59651),x59653)) % 169.26/169.10 [5966]~P6(x59662)+E(x59661,f2(x59662))+~E(x59663,f317(f317(f75(x59662),x59664),x59661))+E(f317(f317(f30(x59662),x59663),x59661),x59664)+~P1(f317(f317(f277(x59662),x59661),x59663)) % 169.26/169.10 [6443]E(f399(x64431,x64432,x64433),x64434)+E(f317(x64431,x64434),f2(a897))+~E(f317(f317(f6(x64433,a897),x64431),x64432),f72(a897))+~P1(f317(f28(x64433),x64432))+~P1(f317(f317(f319(x64433),x64434),x64432)) % 169.26/169.10 [6508]E(f410(x65081,x65082,x65083),x65084)+E(f317(x65081,x65084),f2(a897))+~E(f317(f317(f6(x65083,a897),x65081),x65082),f317(a102,f2(a897)))+~P1(f317(f28(x65083),x65082))+~P1(f317(f317(f319(x65083),x65084),x65082)) % 169.26/169.10 [6620]~P4(x66201)+~P8(x66201)+P1(f317(f317(f225(x66201),x66202),f31(x66201,x66203)))+~P1(f317(f317(f225(x66201),x66202),x66204))+~P1(f317(f317(f319(x66201),x66204),x66203)) % 169.26/169.10 [6797]~P4(x67971)+~P8(x67971)+~P1(f317(f317(f225(x67971),x67974),x67973))+P1(f317(f317(f225(x67971),f32(x67971,x67972)),x67973))+~P1(f317(f317(f319(x67971),x67974),x67972)) % 169.26/169.10 [7065]~P110(x70653)+E(x70651,x70652)+~E(f317(f317(f234(x70653),x70651),f317(a102,x70654)),f317(f317(f234(x70653),x70652),f317(a102,x70654)))+~P1(f317(f317(f224(x70653),f2(x70653)),x70652))+~P1(f317(f317(f224(x70653),f2(x70653)),x70651)) % 169.26/169.10 [7277]~E(f413(x72772,x72773,x72771,x72774),x72774)+~E(f317(x72772,x72774),f72(a897))+E(f317(f317(f6(x72771,a897),x72772),x72773),f72(a897))+~P1(f317(f28(x72771),x72773))+~P1(f317(f317(f319(x72771),x72774),x72773)) % 169.26/169.10 [7284]~P112(x72844)+~P133(x72844)+E(f317(x72841,f872(x72841,x72842,x72843,x72844)),f2(x72844))+~E(f317(f317(f9(x72843,x72844),x72841),x72842),f2(x72844))+~P1(f317(f28(x72843),x72842)) % 169.26/169.10 [7372]~E(f411(x73722,x73723,x73721,x73724),x73724)+~E(f317(x73722,x73724),f317(a102,f2(a897)))+E(f317(f317(f6(x73721,a897),x73722),x73723),f317(a102,f2(a897)))+~P1(f317(f28(x73721),x73723))+~P1(f317(f317(f319(x73721),x73724),x73723)) % 169.26/169.10 [8109]~E(f317(x81092,x81094),f72(a897))+~E(f317(x81092,f413(x81092,x81093,x81091,x81094)),f2(a897))+E(f317(f317(f6(x81091,a897),x81092),x81093),f72(a897))+~P1(f317(f28(x81091),x81093))+~P1(f317(f317(f319(x81091),x81094),x81093)) % 169.26/169.10 [8147]~E(f317(x81472,x81474),f317(a102,f2(a897)))+~E(f317(x81472,f411(x81472,x81473,x81471,x81474)),f2(a897))+E(f317(f317(f6(x81471,a897),x81472),x81473),f317(a102,f2(a897)))+~P1(f317(f28(x81471),x81473))+~P1(f317(f317(f319(x81471),x81474),x81473)) % 169.26/169.10 [8233]~P145(x82332)+~P121(x82332)+~P1(f317(x82331,x82334))+~P1(f317(f317(f277(x82332),x82333),f317(f317(f74(x82332),x82334),f2(x82332))))+P1(f317(x82331,f317(f317(f75(x82332),x82333),f839(x82333,x82331,x82332)))) % 169.26/169.10 [8698]~P4(x86981)+~P16(x86981,x86984)+P16(x86981,x86982)+~E(x86982,f317(f317(f141(x86981),x86983),x86984))+~P1(f317(f317(f224(x86981),x86983),f708(x86982,x86981,x86984,x86983))) % 169.26/169.10 [8735]E(x87351,x87352)+E(f317(f317(f23(a1),f358(x87353,x87352,x87354,x87351)),f359(x87353,x87352,x87354,x87351)),x87351)+~E(f317(f317(f74(a1),x87351),x87354),x87352)+~P1(f317(f317(f225(a1),f2(a1)),x87354))+~P1(f317(f317(f319(a1),x87352),x87353)) % 169.26/169.10 [8736]E(x87361,x87362)+E(f317(f317(f74(a1),f364(x87363,x87362,x87364,x87361)),f365(x87363,x87362,x87364,x87361)),x87361)+~E(f317(f317(f23(a1),x87361),x87364),x87362)+~P1(f317(f317(f225(a1),f2(a1)),x87364))+~P1(f317(f317(f319(a1),x87362),x87363)) % 169.26/169.10 [8928]E(f317(x89281,f550(x89282,x89281,x89283,x89284)),x89282)+P1(f317(f317(f224(a897),x89284),f551(x89282,x89281,x89283,x89284)))+~P1(f317(f317(f224(a1),x89282),f317(x89281,x89283)))+~P1(f317(f317(f225(a897),x89284),x89283))+~P1(f317(f317(f224(a1),f317(x89281,x89284)),x89282)) % 169.26/169.10 [8929]~P4(x89291)+~P16(x89291,x89293)+P16(x89291,x89292)+~E(x89292,f317(f317(f141(x89291),x89294),x89293))+P1(f317(f317(f319(x89291),f708(x89292,x89291,x89293,x89294)),f317(f162(x89291),x89293))) % 169.26/169.10 [8947]~P112(x89474)+~P133(x89474)+~E(f317(f317(f9(x89471,x89474),x89472),x89473),f2(x89474))+~P1(f317(f28(x89471),x89473))+P1(f317(f317(f319(x89471),f872(x89472,x89473,x89471,x89474)),x89473)) % 169.26/169.10 [8985]~E(f317(x89852,x89854),f72(a897))+E(f317(f317(f6(x89851,a897),x89852),x89853),f72(a897))+~P1(f317(f28(x89851),x89853))+~P1(f317(f317(f319(x89851),x89854),x89853))+P1(f317(f317(f319(x89851),f413(x89852,x89853,x89851,x89854)),x89853)) % 169.26/169.10 [8997]E(x89971,x89972)+~E(f317(f317(f74(a1),x89972),x89974),x89971)+~P1(f317(f317(f225(a1),f2(a1)),x89974))+~P1(f317(f317(f319(a1),x89971),x89973))+P1(f317(f317(f319(a1),f358(x89973,x89971,x89974,x89972)),x89973)) % 169.26/169.10 [8998]E(x89981,x89982)+~E(f317(f317(f23(a1),x89982),x89984),x89981)+~P1(f317(f317(f225(a1),f2(a1)),x89984))+~P1(f317(f317(f319(a1),x89981),x89983))+P1(f317(f317(f319(a1),f364(x89983,x89981,x89984,x89982)),x89983)) % 169.26/169.10 [9000]~E(f317(x90002,x90004),f317(a102,f2(a897)))+E(f317(f317(f6(x90001,a897),x90002),x90003),f317(a102,f2(a897)))+~P1(f317(f28(x90001),x90003))+~P1(f317(f317(f319(x90001),x90004),x90003))+P1(f317(f317(f319(x90001),f411(x90002,x90003,x90001,x90004)),x90003)) % 169.26/169.10 [9005]P61(x90052,x90053,x90054,x90051)+E(x90051,f178(f906(x90052,a894)))+~P1(f317(f28(x90052),x90054))+~P1(f317(f28(x90052),x90051))+P1(f317(f317(f319(x90052),f777(x90053,x90051,x90054,x90052)),x90054)) % 169.26/169.10 [9006]P61(x90062,x90063,x90064,x90061)+E(x90061,f178(f906(x90062,a894)))+~P1(f317(f28(x90062),x90064))+~P1(f317(f28(x90062),x90061))+P1(f317(f317(f319(x90062),f463(x90061,x90064,x90063,x90062)),x90064)) % 169.26/169.10 [9007]P61(x90072,x90073,x90074,x90071)+E(x90071,f178(f906(x90072,a894)))+~P1(f317(f28(x90072),x90074))+~P1(f317(f28(x90072),x90071))+P1(f317(f317(f319(x90072),f778(x90071,x90074,x90073,x90072)),x90074)) % 169.26/169.10 [9080]E(x90801,x90802)+~E(f317(f317(f74(a1),x90802),x90804),x90801)+~P1(f317(f317(f225(a1),f2(a1)),x90804))+~P1(f317(f317(f319(a1),x90801),x90803))+P1(f317(f317(f319(a1),f359(x90803,x90801,x90804,x90802)),f293(a1,f72(a1),x90804))) % 169.26/169.10 [9081]E(x90811,x90812)+~E(f317(f317(f23(a1),x90812),x90814),x90811)+~P1(f317(f317(f225(a1),f2(a1)),x90814))+~P1(f317(f317(f319(a1),x90811),x90813))+P1(f317(f317(f319(a1),f365(x90813,x90811,x90814,x90812)),f293(a1,f72(a1),x90814))) % 169.26/169.10 [9155]P1(f317(f317(f224(a897),x91551),f550(x91552,x91553,x91554,x91551)))+~P1(f317(f317(f224(a1),x91552),f317(x91553,x91554)))+P1(f317(f317(f224(a897),x91551),f551(x91552,x91553,x91554,x91551)))+~P1(f317(f317(f225(a897),x91551),x91554))+~P1(f317(f317(f224(a1),f317(x91553,x91551)),x91552)) % 169.26/169.10 [9269]E(f317(x92691,f550(x92692,x92691,x92693,x92694)),x92692)+~P1(f317(f317(f224(a1),x92692),f317(x92691,x92693)))+P1(f317(f317(f225(a897),f551(x92692,x92691,x92693,x92694)),x92693))+~P1(f317(f317(f225(a897),x92694),x92693))+~P1(f317(f317(f224(a1),f317(x92691,x92694)),x92692)) % 169.26/169.10 [9385]~P1(f317(f317(f277(a897),x93854),x93851))+~P1(f317(f317(f277(a897),x93854),x93853))+~P1(f317(f317(f277(a897),x93852),x93851))+P1(f317(f317(f277(a897),x93851),x93852))+P1(f317(f317(f225(f906(a897,a894)),f280(a897,f277(a897),x93853,x93852)),f280(a897,f277(a897),x93854,x93851))) % 169.26/169.10 [9386]~P1(f317(f317(f277(a897),x93862),x93861))+~P1(f317(f317(f277(a897),x93863),x93864))+~P1(f317(f317(f277(a897),x93862),x93864))+P1(f317(f317(f277(a897),x93861),x93862))+P1(f317(f317(f225(f906(a897,a894)),f280(a897,f277(a897),x93861,x93863)),f280(a897,f277(a897),x93862,x93864))) % 169.26/169.10 [9404]~P1(f317(f317(f224(a1),x94042),f317(x94043,x94044)))+P1(f317(f317(f224(a897),x94041),f551(x94042,x94043,x94044,x94041)))+P1(f317(f317(f224(a897),f550(x94042,x94043,x94044,x94041)),x94044))+~P1(f317(f317(f225(a897),x94041),x94044))+~P1(f317(f317(f224(a1),f317(x94043,x94041)),x94042)) % 169.26/169.10 [9405]~P1(f317(f317(f224(a1),x94052),f317(x94053,x94054)))+P1(f317(f317(f224(a897),x94051),f550(x94052,x94053,x94054,x94051)))+P1(f317(f317(f225(a897),f551(x94052,x94053,x94054,x94051)),x94054))+~P1(f317(f317(f225(a897),x94051),x94054))+~P1(f317(f317(f224(a1),f317(x94053,x94051)),x94052)) % 169.26/169.10 [9513]~P1(f317(f317(f224(a1),x95131),f317(x95132,x95133)))+P1(f317(f317(f225(a897),f551(x95131,x95132,x95133,x95134)),x95133))+~P1(f317(f317(f225(a897),x95134),x95133))+~P1(f317(f317(f224(a1),f317(x95132,x95134)),x95131))+P1(f317(f317(f224(a897),f550(x95131,x95132,x95133,x95134)),x95133)) % 169.26/169.10 [9607]E(x96071,f178(f906(x96072,a894)))+~P1(f317(f28(x96072),x96074))+~P1(f317(f28(x96072),x96071))+P1(f317(f317(f319(f905(f906(x96072,a894),f906(x96072,a894))),f317(f317(f242(f906(x96072,a894),f906(x96072,a894)),x96074),x96071)),f308(x96072,x96073)))+P1(f317(f317(f319(x96072),f465(x96073,x96071,x96074,x96072)),x96074)) % 169.26/169.10 [9608]E(x96081,f178(f906(x96082,a894)))+~P1(f317(f28(x96082),x96084))+~P1(f317(f28(x96082),x96081))+P1(f317(f317(f319(f905(f906(x96082,a894),f906(x96082,a894))),f317(f317(f242(f906(x96082,a894),f906(x96082,a894)),x96084),x96081)),f308(x96082,x96083)))+P1(f317(f317(f319(x96082),f544(x96083,x96081,x96084,x96082)),x96084)) % 169.26/169.10 [10283]E(f317(x102831,f550(x102832,x102831,x102833,x102834)),x102832)+~P1(f317(f317(f224(a1),x102832),f317(x102831,x102833)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x102831,f317(f317(f74(a897),f551(x102832,x102831,x102833,x102834)),f72(a897)))),f317(x102831,f551(x102832,x102831,x102833,x102834))))),f72(a1)))+~P1(f317(f317(f225(a897),x102834),x102833))+~P1(f317(f317(f224(a1),f317(x102831,x102834)),x102832)) % 169.26/169.10 [10284]~P1(f317(f317(f224(a1),x102842),f317(x102843,x102844)))+P1(f317(f317(f224(a897),x102841),f550(x102842,x102843,x102844,x102841)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x102843,f317(f317(f74(a897),f551(x102842,x102843,x102844,x102841)),f72(a897)))),f317(x102843,f551(x102842,x102843,x102844,x102841))))),f72(a1)))+~P1(f317(f317(f225(a897),x102841),x102844))+~P1(f317(f317(f224(a1),f317(x102843,x102841)),x102842)) % 169.26/169.10 [10285]~P1(f317(f317(f224(a1),x102851),f317(x102852,x102853)))+~P1(f317(f317(f224(a1),f317(f70(a1),f317(f317(f23(a1),f317(x102852,f317(f317(f74(a897),f551(x102851,x102852,x102853,x102854)),f72(a897)))),f317(x102852,f551(x102851,x102852,x102853,x102854))))),f72(a1)))+~P1(f317(f317(f225(a897),x102854),x102853))+~P1(f317(f317(f224(a1),f317(x102852,x102854)),x102851))+P1(f317(f317(f224(a897),f550(x102851,x102852,x102853,x102854)),x102853)) % 169.26/169.10 [7335]~P66(x73351)+P1(f317(f317(f225(x73351),x73352),f2(x73351)))+~P1(f317(f317(f224(x73351),x73353),f2(x73351)))+P1(f317(f317(f225(x73351),f2(x73351)),x73352))+P1(f317(f317(f224(x73351),x73353),f317(f317(f281(x73351),x73354),x73352))) % 169.26/169.10 [7336]~P66(x73361)+P1(f317(f317(f225(x73361),x73362),f2(x73361)))+~P1(f317(f317(f225(x73361),x73363),f2(x73361)))+P1(f317(f317(f225(x73361),f2(x73361)),x73362))+P1(f317(f317(f225(x73361),x73363),f317(f317(f281(x73361),x73364),x73362))) % 169.26/169.10 [7585]~P66(x75851)+P1(f317(f317(f224(x75851),x75852),f2(x75851)))+P1(f317(f317(f225(x75851),x75853),f2(x75851)))+P1(f317(f317(f225(x75851),f2(x75851)),x75853))+~P1(f317(f317(f224(x75851),x75852),f317(f317(f281(x75851),x75854),x75853))) % 169.26/169.10 [7586]~P66(x75861)+P1(f317(f317(f225(x75861),x75862),f2(x75861)))+P1(f317(f317(f225(x75861),x75863),f2(x75861)))+P1(f317(f317(f225(x75861),f2(x75861)),x75863))+~P1(f317(f317(f225(x75861),x75862),f317(f317(f281(x75861),x75864),x75863))) % 169.26/169.10 [7705]E(x77051,x77052)+~E(f317(f317(f154(x77053),x77054),x77051),f317(f317(f154(x77053),x77054),x77052))+~P1(f317(f127(x77053),x77054))+~P1(f317(f317(f225(a897),x77052),f317(f179(f898(x77053)),x77054)))+~P1(f317(f317(f225(a897),x77051),f317(f179(f898(x77053)),x77054))) % 169.26/169.10 [8071]~P66(x80711)+~P1(f317(f317(f224(x80711),x80713),f2(x80711)))+P1(f317(f317(f225(x80711),f2(x80711)),x80712))+~P1(f317(f317(f224(x80711),x80714),f317(f317(f75(x80711),x80713),x80712)))+P1(f317(f317(f224(x80711),x80713),f317(f317(f281(x80711),x80714),x80712))) % 169.26/169.10 [8072]~P66(x80721)+~P1(f317(f317(f225(x80721),x80723),f2(x80721)))+P1(f317(f317(f225(x80721),f2(x80721)),x80722))+~P1(f317(f317(f225(x80721),x80724),f317(f317(f75(x80721),x80723),x80722)))+P1(f317(f317(f225(x80721),x80723),f317(f317(f281(x80721),x80724),x80722))) % 169.26/169.10 [8073]~P66(x80731)+~P1(f317(f317(f225(x80731),x80732),f2(x80731)))+P1(f317(f317(f225(x80731),f2(x80731)),x80732))+~P1(f317(f317(f224(x80731),x80734),f317(f317(f75(x80731),x80733),x80732)))+P1(f317(f317(f224(x80731),x80733),f317(f317(f281(x80731),x80734),x80732))) % 169.26/169.10 [8074]~P66(x80741)+~P1(f317(f317(f225(x80741),x80742),f2(x80741)))+P1(f317(f317(f225(x80741),f2(x80741)),x80742))+~P1(f317(f317(f224(x80741),x80744),f317(f317(f281(x80741),x80743),x80742)))+P1(f317(f317(f224(x80741),x80743),f317(f317(f75(x80741),x80744),x80742))) % 169.26/169.10 [8075]~P66(x80751)+~P1(f317(f317(f225(x80751),x80752),f2(x80751)))+P1(f317(f317(f225(x80751),f2(x80751)),x80752))+~P1(f317(f317(f225(x80751),x80754),f317(f317(f75(x80751),x80753),x80752)))+P1(f317(f317(f225(x80751),x80753),f317(f317(f281(x80751),x80754),x80752))) % 169.26/169.10 [8076]~P66(x80761)+~P1(f317(f317(f225(x80761),x80762),f2(x80761)))+P1(f317(f317(f225(x80761),f2(x80761)),x80762))+~P1(f317(f317(f225(x80761),x80764),f317(f317(f281(x80761),x80763),x80762)))+P1(f317(f317(f225(x80761),x80763),f317(f317(f75(x80761),x80764),x80762))) % 169.26/169.10 [8201]~P6(x82011)+~P1(f317(f317(f277(x82011),x82013),x82014))+~P1(f317(f317(f277(x82011),x82013),x82012))+~P1(f317(f317(f277(x82011),x82012),x82014))+P1(f317(f317(f277(x82011),f317(f317(f30(x82011),x82012),x82013)),f317(f317(f30(x82011),x82014),x82013))) % 169.26/169.10 [8216]~P4(x82161)+~P16(x82161,x82162)+~P1(f317(f317(f224(a897),x82163),x82164))+P1(f317(f317(f224(x82161),f317(f317(f154(x82161),x82162),x82163)),f317(f317(f154(x82161),x82162),x82164)))+~P1(f317(f317(f225(a897),x82164),f317(f179(f898(x82161)),x82162))) % 169.26/169.10 [8269]~P110(x82691)+~P1(f317(f317(f224(x82691),x82692),f72(x82691)))+~P1(f317(f317(f224(x82691),f2(x82691)),x82692))+~P1(f317(f317(f224(a897),x82694),x82693))+P1(f317(f317(f224(x82691),f317(f317(f234(x82691),x82692),x82693)),f317(f317(f234(x82691),x82692),x82694))) % 169.26/169.10 [8270]~P110(x82701)+~P1(f317(f317(f225(x82701),x82702),f72(x82701)))+~P1(f317(f317(f225(x82701),f2(x82701)),x82702))+~P1(f317(f317(f225(a897),x82704),x82703))+P1(f317(f317(f225(x82701),f317(f317(f234(x82701),x82702),x82703)),f317(f317(f234(x82701),x82702),x82704))) % 169.26/169.10 [8271]~P110(x82711)+~P1(f317(f317(f224(x82711),f2(x82711)),x82712))+~P1(f317(f317(f225(a897),f2(a897)),x82713))+~P1(f317(f317(f225(x82711),x82712),x82714))+P1(f317(f317(f225(x82711),f317(f317(f234(x82711),x82712),x82713)),f317(f317(f234(x82711),x82714),x82713))) % 169.26/169.10 [8289]~P4(x82891)+~P16(x82891,f317(f158(x82891),x82892))+~P1(f317(f317(f224(a897),x82894),x82893))+P1(f317(f317(f224(x82891),f317(f317(f154(x82891),x82892),x82893)),f317(f317(f154(x82891),x82892),x82894)))+~P1(f317(f317(f225(a897),x82893),f317(f179(f898(x82891)),x82892))) % 169.26/169.10 [8520]~P6(x85201)+P1(f317(f317(f277(x85201),x85202),x85203))+~P1(f317(f317(f277(x85201),x85204),x85203))+~P1(f317(f317(f277(x85201),x85204),x85202))+~P1(f317(f317(f277(x85201),f317(f317(f30(x85201),x85202),x85204)),f317(f317(f30(x85201),x85203),x85204))) % 169.26/169.10 [8535]~P66(x85351)+~P1(f317(f317(f224(x85351),x85352),f2(x85351)))+~P1(f317(f317(f224(x85351),x85353),x85354))+~P1(f317(f317(f225(x85351),f2(x85351)),f317(f317(f75(x85351),x85353),x85354)))+P1(f317(f317(f224(x85351),f317(f317(f281(x85351),x85352),x85353)),f317(f317(f281(x85351),x85352),x85354))) % 169.26/169.10 [8536]~P67(x85361)+~P1(f317(f317(f225(x85361),x85362),f2(x85361)))+~P1(f317(f317(f225(x85361),x85363),x85364))+~P1(f317(f317(f225(x85361),f2(x85361)),f317(f317(f75(x85361),x85363),x85364)))+P1(f317(f317(f225(x85361),f317(f317(f281(x85361),x85362),x85363)),f317(f317(f281(x85361),x85362),x85364))) % 169.26/169.10 [8545]~P67(x85451)+~P1(f317(f317(f224(x85451),x85454),x85453))+~P1(f317(f317(f224(x85451),f2(x85451)),x85452))+~P1(f317(f317(f225(x85451),f2(x85451)),f317(f317(f75(x85451),x85453),x85454)))+P1(f317(f317(f224(x85451),f317(f317(f281(x85451),x85452),x85453)),f317(f317(f281(x85451),x85452),x85454))) % 169.26/169.10 [8546]~P67(x85461)+~P1(f317(f317(f225(x85461),x85464),x85463))+~P1(f317(f317(f225(x85461),f2(x85461)),x85462))+~P1(f317(f317(f225(x85461),f2(x85461)),f317(f317(f75(x85461),x85463),x85464)))+P1(f317(f317(f225(x85461),f317(f317(f281(x85461),x85462),x85463)),f317(f317(f281(x85461),x85462),x85464))) % 169.26/169.10 [8646]P1(f317(x86461,x86462))+~P1(f317(f28(x86464),x86462))+P1(f317(x86461,f386(x86461,x86463,x86462,x86464)))+~P1(f317(x86461,f178(f906(x86464,a894))))+~P1(f317(f317(f224(f906(x86464,a894)),x86462),x86463)) % 169.26/169.10 [8655]P1(f317(x86551,x86552))+P1(f317(f28(x86553),f386(x86551,x86554,x86552,x86553)))+~P1(f317(f28(x86553),x86552))+~P1(f317(x86551,f178(f906(x86553,a894))))+~P1(f317(f317(f224(f906(x86553,a894)),x86552),x86554)) % 169.26/169.10 [8923]E(f317(f317(f74(a1),f369(x89231,x89232,x89233,x89234)),f366(x89231,x89232,x89233,x89234)),x89234)+~P1(f317(f317(f225(a1),f2(a1)),x89233))+~P1(f317(f317(f225(a1),x89232),x89234))+~P1(f317(f317(f319(a1),x89232),x89231))+P1(f317(f317(f225(a1),x89232),f317(f317(f23(a1),x89234),x89233))) % 169.26/169.10 [9137]~P1(f317(f317(f225(a1),f2(a1)),x91373))+~P1(f317(f317(f225(a1),x91372),x91374))+~P1(f317(f317(f319(a1),x91372),x91371))+P1(f317(f317(f319(a1),f369(x91371,x91372,x91373,x91374)),x91371))+P1(f317(f317(f225(a1),x91372),f317(f317(f23(a1),x91374),x91373))) % 169.26/169.10 [9148]P1(f317(x91481,x91482))+~P1(f317(f28(x91483),x91482))+P1(f317(f317(f319(x91483),f378(x91481,x91484,x91482,x91483)),x91484))+~P1(f317(x91481,f178(f906(x91483,a894))))+~P1(f317(f317(f224(f906(x91483,a894)),x91482),x91484)) % 169.26/169.10 [9165]E(f317(f317(f74(a1),f360(x91651,x91652,x91653,x91654)),f361(x91651,x91652,x91653,x91654)),x91654)+~P1(f317(f317(f225(a1),f2(a1)),x91653))+~P1(f317(f317(f224(a1),x91652),x91654))+P1(f317(f317(f224(a1),x91652),f317(f317(f23(a1),x91654),x91653)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x91652),f72(a1))),x91651)) % 169.26/169.10 [9219]~P1(f317(f317(f225(a1),f2(a1)),x92193))+~P1(f317(f317(f225(a1),x92191),x92192))+~P1(f317(f317(f319(a1),x92191),x92194))+P1(f317(f317(f319(a1),f366(x92194,x92191,x92193,x92192)),f293(a1,f72(a1),x92193)))+P1(f317(f317(f225(a1),x92191),f317(f317(f23(a1),x92192),x92193))) % 169.26/169.10 [9245]~P76(x92452)+~E(f758(x92453,x92454,x92451,x92452),f759(x92453,x92454,x92451,x92452))+~P1(f317(f28(x92451),f756(x92453,x92454,x92451,x92452)))+E(f317(f317(f6(f906(x92451,a894),x92452),f317(f6(x92451,x92452),x92453)),x92454),f317(f317(f6(x92451,x92452),x92453),f31(f906(x92451,a894),x92454)))+~P1(f317(f28(f906(x92451,a894)),x92454)) % 169.26/169.10 [9249]~P76(x92492)+~E(f317(x92493,f760(x92493,x92494,x92491,x92492)),f2(x92492))+~P1(f317(f28(x92491),f756(x92493,x92494,x92491,x92492)))+E(f317(f317(f6(f906(x92491,a894),x92492),f317(f6(x92491,x92492),x92493)),x92494),f317(f317(f6(x92491,x92492),x92493),f31(f906(x92491,a894),x92494)))+~P1(f317(f28(f906(x92491,a894)),x92494)) % 169.26/169.10 [9313]~P1(f317(f317(f225(a1),f2(a1)),x93133))+~P1(f317(f317(f224(a1),x93132),x93134))+P1(f317(f317(f319(a1),f360(x93131,x93132,x93133,x93134)),x93131))+P1(f317(f317(f224(a1),x93132),f317(f317(f23(a1),x93134),x93133)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x93132),f72(a1))),x93131)) % 169.26/169.10 [9359]~P1(f317(f317(f225(a1),f2(a1)),x93593))+~P1(f317(f317(f224(a1),x93591),x93592))+P1(f317(f317(f319(a1),f361(x93594,x93591,x93593,x93592)),f293(a1,f72(a1),x93593)))+P1(f317(f317(f224(a1),x93591),f317(f317(f23(a1),x93592),x93593)))+~P1(f317(f317(f319(a1),f317(f317(f23(a1),x93591),f72(a1))),x93594)) % 169.26/169.10 [9381]~P76(x93812)+~E(f758(x93813,x93814,x93811,x93812),f759(x93813,x93814,x93811,x93812))+E(f317(f317(f6(f906(x93811,a894),x93812),f317(f6(x93811,x93812),x93813)),x93814),f317(f317(f6(x93811,x93812),x93813),f31(f906(x93811,a894),x93814)))+P1(f317(f317(f319(f906(x93811,a894)),f756(x93813,x93814,x93811,x93812)),x93814))+~P1(f317(f28(f906(x93811,a894)),x93814)) % 169.26/169.10 [9388]~P76(x93882)+~E(f317(x93883,f760(x93883,x93884,x93881,x93882)),f2(x93882))+E(f317(f317(f6(f906(x93881,a894),x93882),f317(f6(x93881,x93882),x93883)),x93884),f317(f317(f6(x93881,x93882),x93883),f31(f906(x93881,a894),x93884)))+P1(f317(f317(f319(f906(x93881,a894)),f756(x93883,x93884,x93881,x93882)),x93884))+~P1(f317(f28(f906(x93881,a894)),x93884)) % 169.26/169.10 [9490]~P76(x94902)+~P1(f317(f28(x94901),f756(x94903,x94904,x94901,x94902)))+E(f317(f317(f6(f906(x94901,a894),x94902),f317(f6(x94901,x94902),x94903)),x94904),f317(f317(f6(x94901,x94902),x94903),f31(f906(x94901,a894),x94904)))+P1(f317(f317(f319(f906(x94901,a894)),f759(x94903,x94904,x94901,x94902)),x94904))+~P1(f317(f28(f906(x94901,a894)),x94904)) % 169.26/169.10 [9491]~P76(x94912)+~P1(f317(f28(x94911),f756(x94913,x94914,x94911,x94912)))+E(f317(f317(f6(f906(x94911,a894),x94912),f317(f6(x94911,x94912),x94913)),x94914),f317(f317(f6(x94911,x94912),x94913),f31(f906(x94911,a894),x94914)))+P1(f317(f317(f319(f906(x94911,a894)),f758(x94913,x94914,x94911,x94912)),x94914))+~P1(f317(f28(f906(x94911,a894)),x94914)) % 169.26/169.10 [9571]~P76(x95712)+E(f317(f317(f6(f906(x95711,a894),x95712),f317(f6(x95711,x95712),x95713)),x95714),f317(f317(f6(x95711,x95712),x95713),f31(f906(x95711,a894),x95714)))+P1(f317(f317(f319(f906(x95711,a894)),f756(x95713,x95714,x95711,x95712)),x95714))+P1(f317(f317(f319(f906(x95711,a894)),f759(x95713,x95714,x95711,x95712)),x95714))+~P1(f317(f28(f906(x95711,a894)),x95714)) % 169.26/169.10 [9572]~P76(x95722)+E(f317(f317(f6(f906(x95721,a894),x95722),f317(f6(x95721,x95722),x95723)),x95724),f317(f317(f6(x95721,x95722),x95723),f31(f906(x95721,a894),x95724)))+P1(f317(f317(f319(f906(x95721,a894)),f756(x95723,x95724,x95721,x95722)),x95724))+P1(f317(f317(f319(f906(x95721,a894)),f758(x95723,x95724,x95721,x95722)),x95724))+~P1(f317(f28(f906(x95721,a894)),x95724)) % 169.26/169.10 [9593]~P76(x95932)+P1(f317(f317(f319(x95931),f760(x95933,x95934,x95931,x95932)),f759(x95933,x95934,x95931,x95932)))+~P1(f317(f28(x95931),f756(x95933,x95934,x95931,x95932)))+E(f317(f317(f6(f906(x95931,a894),x95932),f317(f6(x95931,x95932),x95933)),x95934),f317(f317(f6(x95931,x95932),x95933),f31(f906(x95931,a894),x95934)))+~P1(f317(f28(f906(x95931,a894)),x95934)) % 169.26/169.10 [9594]~P76(x95942)+P1(f317(f317(f319(x95941),f760(x95943,x95944,x95941,x95942)),f758(x95943,x95944,x95941,x95942)))+~P1(f317(f28(x95941),f756(x95943,x95944,x95941,x95942)))+E(f317(f317(f6(f906(x95941,a894),x95942),f317(f6(x95941,x95942),x95943)),x95944),f317(f317(f6(x95941,x95942),x95943),f31(f906(x95941,a894),x95944)))+~P1(f317(f28(f906(x95941,a894)),x95944)) % 169.26/169.10 [9611]P1(f317(x96111,x96112))+~P1(f317(f317(f319(x96113),f378(x96111,x96114,x96112,x96113)),f386(x96111,x96114,x96112,x96113)))+~P1(f317(f28(x96113),x96112))+~P1(f317(x96111,f178(f906(x96113,a894))))+~P1(f317(f317(f224(f906(x96113,a894)),x96112),x96114)) % 169.26/169.10 [9648]~P76(x96482)+P1(f317(f317(f319(x96481),f760(x96483,x96484,x96481,x96482)),f759(x96483,x96484,x96481,x96482)))+E(f317(f317(f6(f906(x96481,a894),x96482),f317(f6(x96481,x96482),x96483)),x96484),f317(f317(f6(x96481,x96482),x96483),f31(f906(x96481,a894),x96484)))+P1(f317(f317(f319(f906(x96481,a894)),f756(x96483,x96484,x96481,x96482)),x96484))+~P1(f317(f28(f906(x96481,a894)),x96484)) % 169.26/169.10 [9649]~P76(x96492)+P1(f317(f317(f319(x96491),f760(x96493,x96494,x96491,x96492)),f758(x96493,x96494,x96491,x96492)))+E(f317(f317(f6(f906(x96491,a894),x96492),f317(f6(x96491,x96492),x96493)),x96494),f317(f317(f6(x96491,x96492),x96493),f31(f906(x96491,a894),x96494)))+P1(f317(f317(f319(f906(x96491,a894)),f756(x96493,x96494,x96491,x96492)),x96494))+~P1(f317(f28(f906(x96491,a894)),x96494)) % 169.26/169.10 [9825]P1(f317(x98251,x98252))+~P1(f317(f28(x98253),x98252))+~P1(f317(x98251,f317(f317(f299(x98253),f378(x98251,x98254,x98252,x98253)),f386(x98251,x98254,x98252,x98253))))+~P1(f317(x98251,f178(f906(x98253,a894))))+~P1(f317(f317(f224(f906(x98253,a894)),x98252),x98254)) % 169.26/169.10 [10157]~P109(x101573)+~P51(a897,x101573,f317(f317(f18(a897,f906(a897,a894),f906(a897,a894)),f317(f317(f8(f906(a897,f906(a894,a894)),f906(f906(a897,a894),f906(a897,a894)),a897),f18(a897,a894,a894)),f317(f317(f8(f906(a897,a894),f906(a897,f906(a894,a894)),a897),f317(f8(a894,f906(a894,a894),a897),a315)),f277(a897)))),f317(f317(f8(f906(a897,a894),f906(a897,a894),a897),f317(f8(a894,a894,a897),a312)),f317(f7(a897,a897,a894),f277(a897)))),x101574)+P1(f317(f317(f225(x101573),f317(x101574,x101572)),f317(x101574,x101571)))+~P1(f317(f317(f277(a897),x101572),x101571))+P1(f317(f317(f277(a897),x101571),x101572)) % 169.26/169.10 [7841]~P66(x78411)+P1(f317(f317(f225(x78411),x78412),f2(x78411)))+~P1(f317(f317(f224(x78411),f2(x78411)),x78414))+P1(f317(f317(f225(x78411),f2(x78411)),x78412))+P1(f317(f317(f224(x78411),f317(f317(f281(x78411),x78413),x78412)),x78414)) % 169.26/169.10 [7842]~P66(x78421)+P1(f317(f317(f225(x78421),x78422),f2(x78421)))+P1(f317(f317(f225(x78421),f2(x78421)),x78422))+~P1(f317(f317(f225(x78421),f2(x78421)),x78424))+P1(f317(f317(f225(x78421),f317(f317(f281(x78421),x78423),x78422)),x78424)) % 169.26/169.10 [8122]~P1(f317(f317(f224(a1),x81224),f2(a1)))+~E(x81222,f317(f317(f74(a1),f317(f317(f75(a1),x81221),x81223)),x81224))+P1(f317(f317(f225(a1),f2(a1)),x81221))+~P1(f317(f317(f225(a1),x81221),x81224))+P1(f317(f44(x81222,x81221),f317(f317(f242(a1,a1),x81223),x81224))) % 169.26/169.10 [8156]~P1(f317(x81561,x81564))+P1(f317(x81561,f809(x81562,x81561,x81563)))+~P1(f317(f317(f224(a1),f2(a1)),x81562))+~P1(f317(f317(f225(a1),f2(a1)),x81563))+P1(f317(x81561,f317(f317(f23(a1),x81564),f317(f317(f75(a1),x81562),x81563)))) % 169.26/169.10 [8157]~P1(f317(x81571,x81574))+P1(f317(x81571,f348(x81572,x81571,x81573)))+~P1(f317(f317(f224(a1),f2(a1)),x81572))+~P1(f317(f317(f225(a1),f2(a1)),x81573))+P1(f317(x81571,f317(f317(f74(a1),x81574),f317(f317(f75(a1),x81572),x81573)))) % 169.26/169.10 [8158]~P66(x81581)+P1(f317(f317(f225(x81581),x81582),f2(x81581)))+P1(f317(f317(f225(x81581),f2(x81581)),x81582))+P1(f317(f317(f224(x81581),f2(x81581)),x81583))+~P1(f317(f317(f224(x81581),f317(f317(f281(x81581),x81584),x81582)),x81583)) % 169.26/169.10 [8159]~P66(x81591)+P1(f317(f317(f225(x81591),x81592),f2(x81591)))+P1(f317(f317(f225(x81591),f2(x81591)),x81592))+P1(f317(f317(f225(x81591),f2(x81591)),x81593))+~P1(f317(f317(f225(x81591),f317(f317(f281(x81591),x81594),x81592)),x81593)) % 169.26/169.10 [8211]~E(x82111,f317(f317(f74(a1),f317(f317(f75(a1),x82112),x82113)),x82114))+~P1(f317(f317(f224(a1),f2(a1)),x82114))+~P1(f317(f317(f225(a1),f2(a1)),x82112))+~P1(f317(f317(f225(a1),x82114),x82112))+P1(f317(f44(x82111,x82112),f317(f317(f242(a1,a1),x82113),x82114))) % 169.26/169.10 [8328]~P66(x83281)+P1(f317(f317(f225(x83281),x83282),f2(x83281)))+~P1(f317(f317(f224(x83281),f2(x83281)),x83284))+~P1(f317(f317(f224(x83281),x83283),f317(f317(f75(x83281),x83284),x83282)))+P1(f317(f317(f224(x83281),f317(f317(f281(x83281),x83283),x83282)),x83284)) % 169.26/169.10 [8329]~P66(x83291)+P1(f317(f317(f225(x83291),x83292),f2(x83291)))+~P1(f317(f317(f225(x83291),f2(x83291)),x83294))+~P1(f317(f317(f225(x83291),x83293),f317(f317(f75(x83291),x83294),x83292)))+P1(f317(f317(f225(x83291),f317(f317(f281(x83291),x83293),x83292)),x83294)) % 169.26/169.10 [8414]~P66(x84141)+P1(f317(f317(f225(x84141),x84142),f2(x84141)))+~P1(f317(f317(f224(x84141),x84143),f2(x84141)))+P1(f317(f317(f224(x84141),x84143),f317(f317(f281(x84141),x84144),x84142)))+~P1(f317(f317(f224(x84141),f317(f317(f75(x84141),x84143),x84142)),x84144)) % 169.26/169.10 [8415]~P66(x84151)+P1(f317(f317(f225(x84151),x84152),f2(x84151)))+~P1(f317(f317(f225(x84151),x84153),f2(x84151)))+P1(f317(f317(f225(x84151),x84153),f317(f317(f281(x84151),x84154),x84152)))+~P1(f317(f317(f225(x84151),f317(f317(f75(x84151),x84153),x84152)),x84154)) % 169.26/169.10 [8567]~P66(x85671)+~P1(f317(f317(f225(x85671),x85672),f2(x85671)))+P1(f317(f317(f225(x85671),f2(x85671)),x85672))+~P1(f317(f317(f224(x85671),f317(f317(f281(x85671),x85674),x85672)),x85673))+P1(f317(f317(f224(x85671),f317(f317(f75(x85671),x85673),x85672)),x85674)) % 169.26/169.10 [8568]~P66(x85681)+~P1(f317(f317(f225(x85681),x85682),f2(x85681)))+P1(f317(f317(f225(x85681),f2(x85681)),x85682))+~P1(f317(f317(f224(x85681),f317(f317(f75(x85681),x85684),x85682)),x85683))+P1(f317(f317(f224(x85681),f317(f317(f281(x85681),x85683),x85682)),x85684)) % 169.26/169.10 [8569]~P66(x85691)+~P1(f317(f317(f225(x85691),x85692),f2(x85691)))+P1(f317(f317(f225(x85691),f2(x85691)),x85692))+~P1(f317(f317(f225(x85691),f317(f317(f281(x85691),x85694),x85692)),x85693))+P1(f317(f317(f225(x85691),f317(f317(f75(x85691),x85693),x85692)),x85694)) % 169.26/169.10 [8570]~P66(x85701)+~P1(f317(f317(f225(x85701),x85702),f2(x85701)))+P1(f317(f317(f225(x85701),f2(x85701)),x85702))+~P1(f317(f317(f225(x85701),f317(f317(f75(x85701),x85704),x85702)),x85703))+P1(f317(f317(f225(x85701),f317(f317(f281(x85701),x85703),x85702)),x85704)) % 169.26/169.10 [8586]~P66(x85861)+~P1(f317(f317(f224(x85861),f2(x85861)),x85864))+P1(f317(f317(f225(x85861),f2(x85861)),x85862))+~P1(f317(f317(f224(x85861),f317(f317(f75(x85861),x85864),x85862)),x85863))+P1(f317(f317(f224(x85861),f317(f317(f281(x85861),x85863),x85862)),x85864)) % 169.26/169.10 [8587]~P66(x85871)+~P1(f317(f317(f225(x85871),f2(x85871)),x85874))+P1(f317(f317(f225(x85871),f2(x85871)),x85872))+~P1(f317(f317(f225(x85871),f317(f317(f75(x85871),x85874),x85872)),x85873))+P1(f317(f317(f225(x85871),f317(f317(f281(x85871),x85873),x85872)),x85874)) % 169.26/169.10 [8663]~P66(x86631)+~P1(f317(f317(f225(x86631),x86634),f2(x86631)))+~P1(f317(f317(f224(x86631),x86633),f317(f317(f75(x86631),x86632),x86634)))+P1(f317(f317(f224(x86631),x86632),f317(f317(f281(x86631),x86633),x86634)))+~P1(f317(f317(f224(x86631),f317(f317(f75(x86631),x86632),x86634)),x86633)) % 169.26/169.10 [8664]~P66(x86641)+~P1(f317(f317(f224(x86641),x86642),f2(x86641)))+~P1(f317(f317(f224(x86641),x86643),f317(f317(f75(x86641),x86642),x86644)))+P1(f317(f317(f224(x86641),x86642),f317(f317(f281(x86641),x86643),x86644)))+~P1(f317(f317(f224(x86641),f317(f317(f75(x86641),x86642),x86644)),x86643)) % 169.26/169.10 [8665]~P66(x86651)+~P1(f317(f317(f225(x86651),x86654),f2(x86651)))+~P1(f317(f317(f225(x86651),x86653),f317(f317(f75(x86651),x86652),x86654)))+P1(f317(f317(f225(x86651),x86652),f317(f317(f281(x86651),x86653),x86654)))+~P1(f317(f317(f225(x86651),f317(f317(f75(x86651),x86652),x86654)),x86653)) % 169.26/169.10 [8666]~P66(x86661)+~P1(f317(f317(f225(x86661),x86662),f2(x86661)))+~P1(f317(f317(f225(x86661),x86663),f317(f317(f75(x86661),x86662),x86664)))+P1(f317(f317(f225(x86661),x86662),f317(f317(f281(x86661),x86663),x86664)))+~P1(f317(f317(f225(x86661),f317(f317(f75(x86661),x86662),x86664)),x86663)) % 169.26/169.10 [8788]~P66(x87881)+~P1(f317(f317(f225(x87881),x87883),f2(x87881)))+~P1(f317(f317(f224(x87881),x87882),f317(f317(f75(x87881),x87884),x87883)))+~P1(f317(f317(f224(x87881),f317(f317(f75(x87881),x87884),x87883)),x87882))+P1(f317(f317(f224(x87881),f317(f317(f281(x87881),x87882),x87883)),x87884)) % 169.26/169.10 [8789]~P66(x87891)+~P1(f317(f317(f225(x87891),x87893),f2(x87891)))+~P1(f317(f317(f225(x87891),x87892),f317(f317(f75(x87891),x87894),x87893)))+~P1(f317(f317(f225(x87891),f317(f317(f75(x87891),x87894),x87893)),x87892))+P1(f317(f317(f225(x87891),f317(f317(f281(x87891),x87892),x87893)),x87894)) % 169.26/169.10 [8806]~P66(x88061)+~P1(f317(f317(f224(x88061),f2(x88061)),x88064))+~P1(f317(f317(f224(x88061),x88062),f317(f317(f75(x88061),x88064),x88063)))+~P1(f317(f317(f224(x88061),f317(f317(f75(x88061),x88064),x88063)),x88062))+P1(f317(f317(f224(x88061),f317(f317(f281(x88061),x88062),x88063)),x88064)) % 169.26/169.10 [8807]~P66(x88071)+~P1(f317(f317(f225(x88071),f2(x88071)),x88074))+~P1(f317(f317(f225(x88071),x88072),f317(f317(f75(x88071),x88074),x88073)))+~P1(f317(f317(f225(x88071),f317(f317(f75(x88071),x88074),x88073)),x88072))+P1(f317(f317(f225(x88071),f317(f317(f281(x88071),x88072),x88073)),x88074)) % 169.26/169.10 [8990]E(f317(f317(f23(a1),f374(x89901,x89902,x89903,x89904)),f375(x89901,x89902,x89903,x89904)),x89904)+~P1(f317(f317(f225(a1),f2(a1)),x89903))+~P1(f317(f317(f319(a1),x89902),x89901))+~P1(f317(f317(f225(a1),x89904),x89902))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x89904),x89903)),x89902)) % 169.26/169.10 [9061]~P1(f317(x90611,x90612))+~P1(f317(f317(f224(a1),f2(a1)),x90613))+~P1(f317(f317(f225(a1),f2(a1)),x90614))+~P1(f317(x90611,f317(f317(f23(a1),f809(x90613,x90611,x90614)),x90614)))+P1(f317(x90611,f317(f317(f23(a1),x90612),f317(f317(f75(a1),x90613),x90614)))) % 169.26/169.10 [9062]~P1(f317(x90621,x90622))+~P1(f317(f317(f224(a1),f2(a1)),x90623))+~P1(f317(f317(f225(a1),f2(a1)),x90624))+~P1(f317(x90621,f317(f317(f74(a1),f348(x90623,x90621,x90624)),x90624)))+P1(f317(x90621,f317(f317(f74(a1),x90622),f317(f317(f75(a1),x90623),x90624)))) % 169.26/169.10 [9213]~P1(f317(f317(f225(a1),f2(a1)),x92133))+~P1(f317(f317(f319(a1),x92132),x92131))+~P1(f317(f317(f225(a1),x92134),x92132))+P1(f317(f317(f319(a1),f374(x92131,x92132,x92133,x92134)),x92131))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x92134),x92133)),x92132)) % 169.26/169.10 [9232]E(f317(f317(f23(a1),f362(x92321,x92322,x92323,x92324)),f363(x92321,x92322,x92323,x92324)),x92324)+~P1(f317(f317(f225(a1),f2(a1)),x92323))+~P1(f317(f317(f224(a1),x92324),x92322))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x92322),f72(a1))),x92321))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x92324),x92323)),x92322)) % 169.26/169.10 [9260]~P1(f317(f317(f225(a1),f2(a1)),x92602))+~P1(f317(f317(f319(a1),x92603),x92604))+~P1(f317(f317(f225(a1),x92601),x92603))+P1(f317(f317(f319(a1),f375(x92604,x92603,x92602,x92601)),f293(a1,f72(a1),x92602)))+P1(f317(f317(f225(a1),f317(f317(f74(a1),x92601),x92602)),x92603)) % 169.26/169.10 [9351]~P1(f317(f317(f225(a1),f2(a1)),x93513))+~P1(f317(f317(f224(a1),x93514),x93512))+P1(f317(f317(f319(a1),f362(x93511,x93512,x93513,x93514)),x93511))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x93512),f72(a1))),x93511))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x93514),x93513)),x93512)) % 169.26/169.10 [9400]~P1(f317(f317(f225(a1),f2(a1)),x94002))+~P1(f317(f317(f224(a1),x94001),x94003))+P1(f317(f317(f319(a1),f363(x94004,x94003,x94002,x94001)),f293(a1,f72(a1),x94002)))+~P1(f317(f317(f319(a1),f317(f317(f74(a1),x94003),f72(a1))),x94004))+P1(f317(f317(f224(a1),f317(f317(f74(a1),x94001),x94002)),x94003)) % 169.26/169.10 [9703]~P39(x97031,x97033)+~P29(x97031,x97034)+P39(x97031,f317(f317(f91(f906(f905(x97031,x97031),a894)),x97032),x97033))+~P1(f317(f317(f224(f906(f905(x97031,x97031),a894)),x97032),f317(f241(f906(f905(x97031,x97031),a894),f906(f905(x97031,x97031),a894)),x97034)))+~P1(f317(f317(f224(f906(f905(x97031,x97031),a894)),x97033),f317(f246(f906(f905(x97031,x97031),a894),f906(f905(x97031,x97031),a894)),x97034))) % 169.26/169.10 [10091]~P21(x100912,x100914,x100913)+E(x100911,f178(f906(x100912,a894)))+~P1(f317(f28(x100912),x100911))+P1(f317(f317(f319(x100912),f317(x100913,x100911)),x100911))+~P1(f317(f317(f319(x100912),f317(f317(x100914,f446(x100911,x100913,x100914,x100912)),f456(x100911,x100913,x100914,x100912))),f317(f317(f299(x100912),f446(x100911,x100913,x100914,x100912)),f317(f317(f299(x100912),f456(x100911,x100913,x100914,x100912)),f178(f906(x100912,a894)))))) % 169.26/169.10 [10016]~P109(x100162)+~P63(x100161)+~P1(f317(f317(f224(f906(x100161,x100162)),x100163),x100164))+P1(f317(f317(f225(f906(x100161,x100162)),x100163),x100164))+~P1(f317(f51(x100161),f317(f317(f8(a894,a894,x100161),a312),f317(f317(f18(x100161,x100162,a894),f317(f317(f8(x100162,f906(x100162,a894),x100161),a314),x100163)),x100164)))) % 169.26/169.10 [9617]~P57(x96171,x96171,x96174)+P1(f317(f317(f319(f905(x96171,x96171)),f317(f317(f242(x96171,x96171),x96172),x96173)),f297(x96171,x96174)))+P1(f317(f317(f319(f905(x96171,x96171)),f317(f317(f242(x96171,x96171),x96173),x96172)),f297(x96171,x96174)))+~P1(f317(f317(f319(f905(x96171,x96171)),f317(f317(f242(x96171,x96171),x96175),x96172)),f297(x96171,x96174)))+~P1(f317(f317(f319(f905(x96171,x96171)),f317(f317(f242(x96171,x96171),x96175),x96173)),f297(x96171,x96174))) % 169.26/169.10 [5695]E(x56951,f2(a897))+~E(f317(f29(x56952),x56955),x56951)+E(f317(f29(x56952),x56953),f317(a102,x56951))+~E(x56953,f317(f317(f299(x56952),x56954),x56955))+P1(f317(f317(f319(x56952),x56954),x56955)) % 169.26/169.10 [5817]~P65(x58172)+E(x58171,f2(x58172))+E(x58173,f2(x58172))+~E(f317(f317(f281(x58172),x58174),x58173),f317(f317(f281(x58172),x58175),x58171))+E(f317(f317(f75(x58172),x58174),x58171),f317(f317(f75(x58172),x58175),x58173)) % 169.26/169.10 [5818]~P65(x58182)+E(x58181,f2(x58182))+E(x58183,f2(x58182))+~E(f317(f317(f75(x58182),x58184),x58183),f317(f317(f75(x58182),x58185),x58181))+E(f317(f317(f281(x58182),x58184),x58181),f317(f317(f281(x58182),x58185),x58183)) % 169.26/169.10 [5896]~E(f317(f29(x58961),x58965),x58963)+~E(x58965,f178(f906(x58961,a894)))+E(f317(f29(x58961),x58962),f317(a102,x58963))+~E(x58962,f317(f317(f299(x58961),x58964),x58965))+P1(f317(f317(f319(x58961),x58964),x58965)) % 169.26/169.10 [6137]~P112(x61372)+~E(f317(x61373,x61375),f2(x61372))+E(f317(f317(f9(x61371,x61372),x61373),x61374),f2(x61372))+~P1(f317(f28(x61371),x61374))+~P1(f317(f317(f319(x61371),x61375),x61374)) % 169.26/169.10 [6521]~P4(x65213)+E(x65211,x65212)+~E(f317(f292(x65213,x65214),x65211),f317(f292(x65213,x65215),x65212))+~P1(f317(f317(f225(x65213),x65215),x65212))+~P1(f317(f317(f225(x65213),x65214),x65211)) % 169.26/169.10 [6522]~P4(x65223)+E(x65221,x65222)+~E(f317(f292(x65223,x65221),x65224),f317(f292(x65223,x65222),x65225))+~P1(f317(f317(f225(x65223),x65222),x65225))+~P1(f317(f317(f225(x65223),x65221),x65224)) % 169.26/169.10 [7602]~P4(x76021)+~P16(x76021,f317(f317(f124(x76021),x76024),x76025))+~P1(f317(f317(f319(x76021),x76023),f317(f162(x76021),x76025)))+~P1(f317(f317(f319(x76021),x76022),f317(f162(x76021),x76024)))+P1(f317(f317(f224(x76021),x76022),x76023)) % 169.26/169.10 [8700]~P109(x87001)+~P1(f317(f317(f225(f906(x87001,a894)),f293(x87001,x87005,x87002)),f293(x87001,x87004,x87003)))+~P1(f317(f317(f224(x87001),x87005),x87002))+P1(f317(f317(f225(x87001),x87002),x87003))+P1(f317(f317(f225(x87001),x87004),x87005)) % 169.26/169.10 [10134]~P20(x101342,x101345,x101343)+E(x101341,f178(f906(x101342,a894)))+~E(f317(f317(x101345,f317(x101344,f486(x101341,x101344,x101343,x101345,x101342))),f317(x101344,f501(x101341,x101344,x101343,x101345,x101342))),f317(x101344,f317(f317(x101345,f486(x101341,x101344,x101343,x101345,x101342)),f501(x101341,x101344,x101343,x101345,x101342))))+E(f317(x101343,f317(f300(x101342,x101342,x101344),x101341)),f317(x101344,f317(x101343,x101341)))+~P1(f317(f28(x101342),x101341)) % 169.26/169.10 [6518]~P21(x65182,x65185,x65183)+E(x65181,f178(f906(x65182,a894)))+~P1(f317(f28(x65182),x65181))+E(f317(x65183,f317(f317(f299(x65182),x65184),x65181)),f317(f317(x65185,x65184),f317(x65183,x65181)))+P1(f317(f317(f319(x65182),x65184),x65181)) % 169.26/169.10 [7363]~P20(x73632,x73633,x73634)+E(f317(f317(x73633,f317(x73634,x73631)),f317(x73634,x73635)),f317(x73634,x73635))+E(x73631,f178(f906(x73632,a894)))+~P1(f317(f28(x73632),x73635))+~P1(f317(f317(f224(f906(x73632,a894)),x73631),x73635)) % 169.26/169.10 [7740]~P21(x77404,x77405,x77401)+E(f317(x77401,x77402),x77403)+~P1(f317(f28(x77404),x77402))+~E(f317(f317(f23(f906(x77404,a894)),x77402),f317(f317(f299(x77404),x77403),f178(f906(x77404,a894)))),f178(f906(x77404,a894)))+~P1(f317(f317(f319(x77404),x77403),x77402)) % 169.26/169.10 [8621]~P79(x86211)+~P121(x86211)+~P1(f317(f28(x86212),x86215))+P1(f317(f317(f277(x86211),f317(f317(f9(x86212,x86211),x86213),x86214)),f317(f317(f9(x86212,x86211),x86213),x86215)))+~P1(f317(f317(f224(f906(x86212,a894)),x86214),x86215)) % 169.26/169.10 [8670]E(x86701,x86702)+~P11(x86703,x86704,x86705)+E(f317(f317(f92(f906(x86703,a894)),x86701),x86702),f178(f906(x86703,a894)))+~P1(f317(f317(f319(f906(x86703,a894)),x86702),f317(f317(f55(x86703),x86704),x86705)))+~P1(f317(f317(f319(f906(x86703,a894)),x86701),f317(f317(f55(x86703),x86704),x86705))) % 169.26/169.10 [9483]~P79(x94832)+~E(f317(x94833,f349(x94833,x94834,x94835,x94831,x94832)),f72(x94832))+E(f317(f317(f9(x94831,x94832),x94833),x94834),f317(f317(f9(x94831,x94832),x94833),x94835))+~P1(f317(f28(x94831),x94835))+~P1(f317(f317(f224(f906(x94831,a894)),x94834),x94835)) % 169.26/169.10 [9484]~P79(x94842)+~E(f317(x94843,f350(x94843,x94844,x94845,x94841,x94842)),f72(x94842))+E(f317(f317(f9(x94841,x94842),x94843),x94844),f317(f317(f9(x94841,x94842),x94843),x94845))+~P1(f317(f28(x94841),x94845))+~P1(f317(f317(f224(f906(x94841,a894)),x94844),x94845)) % 169.26/169.10 [9485]~P76(x94852)+~E(f317(x94853,f426(x94853,x94854,x94855,x94851,x94852)),f2(x94852))+E(f317(f317(f6(x94851,x94852),x94853),x94854),f317(f317(f6(x94851,x94852),x94853),x94855))+~P1(f317(f28(x94851),x94855))+~P1(f317(f317(f224(f906(x94851,a894)),x94854),x94855)) % 169.26/169.10 [9486]~P76(x94862)+~E(f317(x94863,f427(x94863,x94864,x94865,x94861,x94862)),f2(x94862))+E(f317(f317(f6(x94861,x94862),x94863),x94864),f317(f317(f6(x94861,x94862),x94863),x94865))+~P1(f317(f28(x94861),x94865))+~P1(f317(f317(f224(f906(x94861,a894)),x94864),x94865)) % 169.26/169.10 [9969]~P86(x99691)+~P1(f317(f28(x99692),x99695))+~P1(f317(f317(f224(x99691),f2(x99691)),f317(x99693,f407(x99693,x99694,x99695,x99692,x99691))))+P1(f317(f317(f224(x99691),f317(f317(f6(x99692,x99691),x99693),x99694)),f317(f317(f6(x99692,x99691),x99693),x99695)))+~P1(f317(f317(f224(f906(x99692,a894)),x99694),x99695)) % 169.26/169.10 [7599]E(x75991,f2(a897))+P1(f317(x75992,x75993))+~E(x75994,f317(f317(f74(a897),f317(f317(f75(a897),x75991),x75993)),x75995))+~P1(f317(f317(f225(a897),x75995),x75991))+~P1(f317(x75992,f317(f317(f30(a897),x75994),x75991))) % 169.26/169.10 [7678]E(x76781,f2(a897))+P1(f317(x76782,x76783))+~P1(f317(x76782,f40(a897,x76784,x76781)))+~E(x76784,f317(f317(f74(a897),f317(f317(f75(a897),x76781),x76785)),x76783))+~P1(f317(f317(f225(a897),x76783),x76781)) % 169.26/169.10 [7972]~P65(x79723)+E(f317(x79721,x79722),f2(x79723))+~P1(f317(f28(x79724),x79725))+E(f317(f317(f9(x79724,x79723),x79721),f317(f317(f23(f906(x79724,a894)),x79725),f317(f317(f299(x79724),x79722),f178(f906(x79724,a894))))),f317(f317(f9(x79724,x79723),x79721),x79725))+P1(f317(f317(f319(x79724),x79722),x79725)) % 169.26/169.10 [8370]~P79(x83701)+~P1(f317(f28(x83702),x83705))+~P1(f317(f28(x83702),x83704))+~E(f317(f317(f92(f906(x83702,a894)),x83704),x83705),f178(f906(x83702,a894)))+E(f317(f317(f75(x83701),f317(f317(f9(x83702,x83701),x83703),x83704)),f317(f317(f9(x83702,x83701),x83703),x83705)),f317(f317(f9(x83702,x83701),x83703),f317(f317(f91(f906(x83702,a894)),x83704),x83705))) % 169.26/169.10 [8371]~P76(x83711)+~P1(f317(f28(x83712),x83715))+~P1(f317(f28(x83712),x83714))+~E(f317(f317(f92(f906(x83712,a894)),x83714),x83715),f178(f906(x83712,a894)))+E(f317(f317(f74(x83711),f317(f317(f6(x83712,x83711),x83713),x83714)),f317(f317(f6(x83712,x83711),x83713),x83715)),f317(f317(f6(x83712,x83711),x83713),f317(f317(f91(f906(x83712,a894)),x83714),x83715))) % 169.26/169.10 [8470]~P65(x84703)+E(f317(x84701,x84702),f2(x84703))+~P1(f317(f28(x84704),x84705))+E(f317(f317(f9(x84704,x84703),x84701),f317(f317(f23(f906(x84704,a894)),x84705),f317(f317(f299(x84704),x84702),f178(f906(x84704,a894))))),f317(f317(f281(x84703),f317(f317(f9(x84704,x84703),x84701),x84705)),f317(x84701,x84702)))+~P1(f317(f317(f319(x84704),x84702),x84705)) % 169.26/169.10 [9190]~P11(x91901,x91905,x91904)+~E(f317(f317(f55(x91901),f317(f317(f299(x91901),x91902),f178(f906(x91901,a894)))),x91904),f317(f317(f55(x91901),f317(f317(f299(x91901),x91903),f178(f906(x91901,a894)))),x91904))+~P1(f317(f317(f319(x91901),x91903),x91905))+~P1(f317(f317(f319(x91901),x91902),x91905))+P1(f317(f317(f319(f905(x91901,x91901)),f317(f317(f242(x91901,x91901),x91902),x91903)),x91904)) % 169.26/169.10 [9212]~P11(x92121,x92125,x92123)+E(f317(f317(f55(x92121),f317(f317(f299(x92121),x92122),f178(f906(x92121,a894)))),x92123),f317(f317(f55(x92121),f317(f317(f299(x92121),x92124),f178(f906(x92121,a894)))),x92123))+~P1(f317(f317(f319(x92121),x92124),x92125))+~P1(f317(f317(f319(x92121),x92122),x92125))+~P1(f317(f317(f319(f905(x92121,x92121)),f317(f317(f242(x92121,x92121),x92122),x92124)),x92123)) % 169.26/169.10 [9512]~P79(x95121)+~P1(f317(f28(x95122),x95125))+~P1(f317(f28(x95122),x95124))+~E(f317(f317(f92(f906(x95122,a894)),x95124),x95125),f178(f906(x95122,a894)))+E(f317(f317(f75(x95121),f317(f317(f317(f59(x95121,x95122,f75(x95121)),x95123),f72(x95121)),x95124)),f317(f317(f317(f59(x95121,x95122,f75(x95121)),x95123),f72(x95121)),x95125)),f317(f317(f317(f59(x95121,x95122,f75(x95121)),x95123),f72(x95121)),f317(f317(f91(f906(x95122,a894)),x95124),x95125))) % 169.26/169.10 [9523]~P79(x95231)+~E(f317(x95233,f404(x95233,x95235,x95234,x95232,x95231)),f72(x95231))+~P1(f317(f28(x95232),x95234))+~P1(f317(f28(x95232),x95235))+E(f317(f317(f75(x95231),f317(f317(f9(x95232,x95231),x95233),x95234)),f317(f317(f9(x95232,x95231),x95233),x95235)),f317(f317(f9(x95232,x95231),x95233),f317(f317(f91(f906(x95232,a894)),x95234),x95235))) % 169.26/169.10 [9524]~P79(x95241)+~E(f317(x95243,f408(x95243,x95245,x95244,x95242,x95241)),f72(x95241))+~P1(f317(f28(x95242),x95244))+~P1(f317(f28(x95242),x95245))+E(f317(f317(f75(x95241),f317(f317(f9(x95242,x95241),x95243),x95244)),f317(f317(f9(x95242,x95241),x95243),x95245)),f317(f317(f9(x95242,x95241),x95243),f317(f317(f91(f906(x95242,a894)),x95244),x95245))) % 169.26/169.10 [9525]~P76(x95251)+~E(f317(x95253,f416(x95253,x95255,x95254,x95252,x95251)),f2(x95251))+~P1(f317(f28(x95252),x95254))+~P1(f317(f28(x95252),x95255))+E(f317(f317(f74(x95251),f317(f317(f6(x95252,x95251),x95253),x95254)),f317(f317(f6(x95252,x95251),x95253),x95255)),f317(f317(f6(x95252,x95251),x95253),f317(f317(f91(f906(x95252,a894)),x95254),x95255))) % 169.26/169.10 [9526]~P76(x95261)+~E(f317(x95263,f417(x95263,x95265,x95264,x95262,x95261)),f2(x95261))+~P1(f317(f28(x95262),x95264))+~P1(f317(f28(x95262),x95265))+E(f317(f317(f74(x95261),f317(f317(f6(x95262,x95261),x95263),x95264)),f317(f317(f6(x95262,x95261),x95263),x95265)),f317(f317(f6(x95262,x95261),x95263),f317(f317(f91(f906(x95262,a894)),x95264),x95265))) % 169.26/169.10 [9746]~P79(x97461)+~E(f317(x97463,f406(x97463,x97465,x97464,x97462,x97461)),f72(x97461))+~P1(f317(f28(x97462),x97464))+~P1(f317(f28(x97462),x97465))+E(f317(f317(f75(x97461),f317(f317(f317(f59(x97461,x97462,f75(x97461)),x97463),f72(x97461)),x97464)),f317(f317(f317(f59(x97461,x97462,f75(x97461)),x97463),f72(x97461)),x97465)),f317(f317(f317(f59(x97461,x97462,f75(x97461)),x97463),f72(x97461)),f317(f317(f91(f906(x97462,a894)),x97464),x97465))) % 169.26/169.10 [9856]~P79(x98562)+E(f317(f317(f9(x98561,x98562),x98563),x98564),f317(f317(f9(x98561,x98562),x98563),x98565))+~P1(f317(f28(x98561),x98565))+~P1(f317(f317(f224(f906(x98561,a894)),x98564),x98565))+P1(f317(f317(f319(x98561),f349(x98563,x98564,x98565,x98561,x98562)),f317(f317(f23(f906(x98561,a894)),x98565),x98564))) % 169.26/169.10 [9857]~P79(x98572)+E(f317(f317(f9(x98571,x98572),x98573),x98574),f317(f317(f9(x98571,x98572),x98573),x98575))+~P1(f317(f28(x98571),x98575))+~P1(f317(f317(f224(f906(x98571,a894)),x98574),x98575))+P1(f317(f317(f319(x98571),f350(x98573,x98574,x98575,x98571,x98572)),f317(f317(f23(f906(x98571,a894)),x98575),x98574))) % 169.26/169.10 [9858]~P76(x98582)+E(f317(f317(f6(x98581,x98582),x98583),x98584),f317(f317(f6(x98581,x98582),x98583),x98585))+~P1(f317(f28(x98581),x98585))+~P1(f317(f317(f224(f906(x98581,a894)),x98584),x98585))+P1(f317(f317(f319(x98581),f426(x98583,x98584,x98585,x98581,x98582)),f317(f317(f23(f906(x98581,a894)),x98585),x98584))) % 169.26/169.10 [9859]~P76(x98592)+E(f317(f317(f6(x98591,x98592),x98593),x98594),f317(f317(f6(x98591,x98592),x98593),x98595))+~P1(f317(f28(x98591),x98595))+~P1(f317(f317(f224(f906(x98591,a894)),x98594),x98595))+P1(f317(f317(f319(x98591),f427(x98593,x98594,x98595,x98591,x98592)),f317(f317(f23(f906(x98591,a894)),x98595),x98594))) % 169.26/169.10 [9878]~P79(x98781)+~P1(f317(f28(x98782),x98784))+~P1(f317(f28(x98782),x98785))+E(f317(f317(f75(x98781),f317(f317(f9(x98782,x98781),x98783),x98784)),f317(f317(f9(x98782,x98781),x98783),x98785)),f317(f317(f9(x98782,x98781),x98783),f317(f317(f91(f906(x98782,a894)),x98784),x98785)))+P1(f317(f317(f319(x98782),f404(x98783,x98785,x98784,x98782,x98781)),f317(f317(f92(f906(x98782,a894)),x98784),x98785))) % 169.26/169.10 [9879]~P79(x98791)+~P1(f317(f28(x98792),x98794))+~P1(f317(f28(x98792),x98795))+E(f317(f317(f75(x98791),f317(f317(f9(x98792,x98791),x98793),x98794)),f317(f317(f9(x98792,x98791),x98793),x98795)),f317(f317(f9(x98792,x98791),x98793),f317(f317(f91(f906(x98792,a894)),x98794),x98795)))+P1(f317(f317(f319(x98792),f408(x98793,x98795,x98794,x98792,x98791)),f317(f317(f92(f906(x98792,a894)),x98794),x98795))) % 169.26/169.10 [9880]~P76(x98801)+~P1(f317(f28(x98802),x98804))+~P1(f317(f28(x98802),x98805))+E(f317(f317(f74(x98801),f317(f317(f6(x98802,x98801),x98803),x98804)),f317(f317(f6(x98802,x98801),x98803),x98805)),f317(f317(f6(x98802,x98801),x98803),f317(f317(f91(f906(x98802,a894)),x98804),x98805)))+P1(f317(f317(f319(x98802),f416(x98803,x98805,x98804,x98802,x98801)),f317(f317(f92(f906(x98802,a894)),x98804),x98805))) % 169.26/169.10 [9881]~P76(x98811)+~P1(f317(f28(x98812),x98814))+~P1(f317(f28(x98812),x98815))+E(f317(f317(f74(x98811),f317(f317(f6(x98812,x98811),x98813),x98814)),f317(f317(f6(x98812,x98811),x98813),x98815)),f317(f317(f6(x98812,x98811),x98813),f317(f317(f91(f906(x98812,a894)),x98814),x98815)))+P1(f317(f317(f319(x98812),f417(x98813,x98815,x98814,x98812,x98811)),f317(f317(f92(f906(x98812,a894)),x98814),x98815))) % 169.26/169.10 [9887]~P86(x98875)+~P1(f317(f28(x98871),x98874))+P1(f317(f317(f224(x98875),f317(f317(f6(x98871,x98875),x98872),x98873)),f317(f317(f6(x98871,x98875),x98872),x98874)))+~P1(f317(f317(f224(f906(x98871,a894)),x98873),x98874))+P1(f317(f317(f319(x98871),f407(x98872,x98873,x98874,x98871,x98875)),f317(f317(f23(f906(x98871,a894)),x98874),x98873))) % 169.26/169.10 [9931]~P79(x99311)+~P1(f317(f28(x99312),x99314))+~P1(f317(f28(x99312),x99315))+E(f317(f317(f75(x99311),f317(f317(f317(f59(x99311,x99312,f75(x99311)),x99313),f72(x99311)),x99314)),f317(f317(f317(f59(x99311,x99312,f75(x99311)),x99313),f72(x99311)),x99315)),f317(f317(f317(f59(x99311,x99312,f75(x99311)),x99313),f72(x99311)),f317(f317(f91(f906(x99312,a894)),x99314),x99315)))+P1(f317(f317(f319(x99312),f406(x99313,x99315,x99314,x99312,x99311)),f317(f317(f92(f906(x99312,a894)),x99314),x99315))) % 169.26/169.10 [8879]~P21(x88791,x88794,x88795)+~P1(f317(f28(x88791),x88792))+E(f317(f317(f23(f906(x88791,a894)),x88792),f317(f317(f299(x88791),x88793),f178(f906(x88791,a894)))),f178(f906(x88791,a894)))+~P1(f317(f317(f319(x88791),x88793),x88792))+E(f317(f317(x88794,x88793),f317(x88795,f317(f317(f23(f906(x88791,a894)),x88792),f317(f317(f299(x88791),x88793),f178(f906(x88791,a894)))))),f317(x88795,x88792)) % 169.26/169.10 [8957]~P21(x89571,x89574,x89575)+~P1(f317(f28(x89571),x89573))+~P1(f317(f28(x89571),x89572))+E(f317(f317(f92(f906(x89571,a894)),x89572),x89573),f178(f906(x89571,a894)))+E(f317(f317(x89574,f317(x89575,f317(f317(f91(f906(x89571,a894)),x89572),x89573))),f317(x89575,f317(f317(f92(f906(x89571,a894)),x89572),x89573))),f317(f317(x89574,f317(x89575,x89572)),f317(x89575,x89573))) % 169.26/169.10 [9528]~P1(f317(f317(f224(a1),x95284),f2(a1)))+~P1(f317(f317(f225(a1),x95283),x95285))+P1(f317(f317(f224(a1),x95281),x95282))+~P1(f317(f317(f225(a1),x95283),x95284))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95283),x95282)),x95285)),f317(f317(f74(a1),f317(f317(f75(a1),x95283),x95281)),x95284))) % 169.26/169.10 [9530]~P1(f317(f317(f224(a1),f2(a1)),x95305))+P1(f317(f317(f224(a1),x95301),x95302))+~P1(f317(f317(f225(a1),x95303),x95304))+~P1(f317(f317(f225(a1),x95305),x95304))+~P1(f317(f317(f224(a1),f317(f317(f74(a1),f317(f317(f75(a1),x95304),x95301)),x95305)),f317(f317(f74(a1),f317(f317(f75(a1),x95304),x95302)),x95303))) % 169.26/169.10 [9655]~P65(x96555)+E(f317(x96551,f405(x96551,x96552,x96553,x96554,x96555)),f2(x96555))+~P1(f317(f28(x96554),x96553))+~P1(f317(f28(x96554),x96552))+E(f317(f317(f281(x96555),f317(f317(f75(x96555),f317(f317(f9(x96554,x96555),x96551),x96553)),f317(f317(f9(x96554,x96555),x96551),x96552))),f317(f317(f9(x96554,x96555),x96551),f317(f317(f92(f906(x96554,a894)),x96553),x96552))),f317(f317(f9(x96554,x96555),x96551),f317(f317(f91(f906(x96554,a894)),x96553),x96552))) % 169.26/169.10 [9923]~P65(x99231)+~P1(f317(f28(x99232),x99234))+~P1(f317(f28(x99232),x99235))+E(f317(f317(f281(x99231),f317(f317(f75(x99231),f317(f317(f9(x99232,x99231),x99233),x99234)),f317(f317(f9(x99232,x99231),x99233),x99235))),f317(f317(f9(x99232,x99231),x99233),f317(f317(f92(f906(x99232,a894)),x99234),x99235))),f317(f317(f9(x99232,x99231),x99233),f317(f317(f91(f906(x99232,a894)),x99234),x99235)))+P1(f317(f317(f319(x99232),f405(x99233,x99235,x99234,x99232,x99231)),f317(f317(f92(f906(x99232,a894)),x99234),x99235))) % 169.26/169.10 [9231]E(f317(f317(f124(x92311),x92312),x92313),f317(f317(f124(x92311),x92314),x92315))+~E(f317(f317(f165(x92311),f317(f179(f898(x92311)),x92314)),x92312),x92314)+~E(f317(f317(f165(x92311),f317(f179(f898(x92311)),x92312)),x92314),x92312)+~E(x92315,f317(f317(f124(x92311),f317(f317(f128(x92311),f317(f179(f898(x92311)),x92314)),x92312)),x92313))+~E(f317(f317(f124(x92311),f317(f317(f128(x92311),f317(f179(f898(x92311)),x92312)),x92314)),x92315),x92313) % 169.26/169.10 [9652]~P4(x96522)+E(f317(f317(f138(x96521,x96522,x96523),x96524),f160(x96521,x96524,x96525)),x96525)+~P16(x96522,f317(f317(f144(x96521,x96522),x96523),x96525))+~P1(f317(f317(f319(x96521),x96524),f317(f162(x96521),x96525)))+~E(f317(f131(x96521),f317(f126(x96521,f317(f317(f8(x96522,a894,x96521),f317(a314,f317(x96523,x96524))),x96523)),x96525)),x96524) % 169.26/169.10 [9987]~P74(x99871)+~P1(f317(f60(x99871,x99871,f75(x99871),x99872,x99873),x99875))+~P1(f317(f317(f319(x99871),x99874),x99873))+P1(f317(f317(f319(x99871),x99872),x99873))+P1(f317(f60(x99871,x99871,f75(x99871),x99874,f317(f317(f299(x99871),x99872),f317(f317(f23(f906(x99871,a894)),x99873),f317(f317(f299(x99871),x99874),f178(f906(x99871,a894)))))),x99875)) % 169.26/169.10 [7371]E(x73711,x73712)+~P27(x73714,x73715,x73713,x73716)+~E(f317(x73713,x73711),f317(x73713,x73712))+~P1(f317(f317(f319(x73714),x73712),x73716))+~P1(f317(f317(f319(x73714),x73711),x73716)) % 169.26/169.10 [6614]~P146(x66144)+E(x66141,x66142)+~E(x66145,x66146)+E(x66143,f2(x66144))+~E(f317(f317(f74(x66144),x66145),f317(f317(f75(x66144),x66143),x66141)),f317(f317(f74(x66144),x66146),f317(f317(f75(x66144),x66143),x66142))) % 169.26/169.10 [7658]~P4(x76581)+~P8(x76581)+~P1(f317(f317(f225(x76581),x76582),f317(x76585,x76586)))+~P1(f317(f317(f319(x76583),x76586),x76584))+P1(f317(f317(f225(x76581),x76582),f317(f317(f34(x76583,x76581),x76584),x76585))) % 169.26/169.10 [9983]~P27(x99832,x99831,x99833,x99834)+~P27(x99831,x99832,x99836,x99835)+P28(x99831,x99832,f806(x99833,x99834,x99835,x99836,x99832,x99831),x99835,x99834)+~P1(f317(f317(f224(f906(x99832,a894)),f317(f300(x99831,x99832,x99836),x99835)),x99834))+~P1(f317(f317(f224(f906(x99831,a894)),f317(f300(x99832,x99831,x99833),x99834)),x99835)) % 169.26/169.10 [8339]~P4(x83391)+~P8(x83391)+~P1(f317(f317(f225(x83391),f317(x83394,x83396)),x83395))+~P1(f317(f317(f319(x83392),x83396),x83393))+P1(f317(f317(f225(x83391),f317(f317(f35(x83392,x83391),x83393),x83394)),x83395)) % 169.26/169.10 [8593]~P22(x85932,x85935,x85936,x85931)+~P1(f317(f28(x85932),x85934))+~P1(f317(f28(x85932),x85933))+~E(f317(f317(f92(f906(x85932,a894)),x85933),x85934),f178(f906(x85932,a894)))+E(f317(x85931,f317(f317(f91(f906(x85932,a894)),x85933),x85934)),f317(f67(x85935,x85935,x85935,f317(x85931,x85933)),f317(x85931,x85934))) % 169.26/169.10 [10194]~P79(x101941)+~E(f794(x101944,x101945,x101943,x101946,x101942,x101941),f795(x101944,x101945,x101943,x101946,x101942,x101941))+~P1(f317(f28(x101942),x101946))+E(f317(f317(f317(f59(x101941,x101942,f75(x101941)),f317(f317(f8(f906(x101943,a894),x101941,x101942),f317(f317(f59(x101941,x101943,f75(x101941)),x101944),f72(x101941))),x101945)),f72(x101941)),x101946),f317(f317(f317(f59(x101941,x101943,f75(x101941)),x101944),f72(x101941)),f317(f317(f34(x101942,f906(x101943,a894)),x101946),x101945)))+P1(f317(f317(f319(x101942),f793(x101944,x101945,x101943,x101946,x101942,x101941)),x101946)) % 169.26/169.10 [10224]~P79(x102241)+~E(f794(x102244,x102245,x102243,x102246,x102242,x102241),f795(x102244,x102245,x102243,x102246,x102242,x102241))+~P1(f317(f28(x102242),x102246))+E(f317(f317(f317(f59(x102241,x102242,f75(x102241)),f317(f317(f8(f906(x102243,a894),x102241,x102242),f317(f317(f59(x102241,x102243,f75(x102241)),x102244),f72(x102241))),x102245)),f72(x102241)),x102246),f317(f317(f317(f59(x102241,x102243,f75(x102241)),x102244),f72(x102241)),f317(f317(f34(x102242,f906(x102243,a894)),x102246),x102245)))+~P1(f317(f28(x102243),f317(x102245,f793(x102244,x102245,x102243,x102246,x102242,x102241)))) % 169.26/169.10 [10227]~P79(x102271)+~P1(f317(f28(x102272),x102276))+E(f317(f317(f317(f59(x102271,x102272,f75(x102271)),f317(f317(f8(f906(x102273,a894),x102271,x102272),f317(f317(f59(x102271,x102273,f75(x102271)),x102274),f72(x102271))),x102275)),f72(x102271)),x102276),f317(f317(f317(f59(x102271,x102273,f75(x102271)),x102274),f72(x102271)),f317(f317(f34(x102272,f906(x102273,a894)),x102276),x102275)))+P1(f317(f317(f319(x102272),f793(x102274,x102275,x102273,x102276,x102272,x102271)),x102276))+P1(f317(f317(f319(x102272),f795(x102274,x102275,x102273,x102276,x102272,x102271)),x102276)) % 169.26/169.10 [10228]~P79(x102281)+~P1(f317(f28(x102282),x102286))+E(f317(f317(f317(f59(x102281,x102282,f75(x102281)),f317(f317(f8(f906(x102283,a894),x102281,x102282),f317(f317(f59(x102281,x102283,f75(x102281)),x102284),f72(x102281))),x102285)),f72(x102281)),x102286),f317(f317(f317(f59(x102281,x102283,f75(x102281)),x102284),f72(x102281)),f317(f317(f34(x102282,f906(x102283,a894)),x102286),x102285)))+P1(f317(f317(f319(x102282),f793(x102284,x102285,x102283,x102286,x102282,x102281)),x102286))+P1(f317(f317(f319(x102282),f794(x102284,x102285,x102283,x102286,x102282,x102281)),x102286)) % 169.26/169.10 [10247]~P79(x102471)+~P1(f317(f28(x102472),x102476))+E(f317(f317(f317(f59(x102471,x102472,f75(x102471)),f317(f317(f8(f906(x102473,a894),x102471,x102472),f317(f317(f59(x102471,x102473,f75(x102471)),x102474),f72(x102471))),x102475)),f72(x102471)),x102476),f317(f317(f317(f59(x102471,x102473,f75(x102471)),x102474),f72(x102471)),f317(f317(f34(x102472,f906(x102473,a894)),x102476),x102475)))+P1(f317(f317(f319(x102472),f795(x102474,x102475,x102473,x102476,x102472,x102471)),x102476))+~P1(f317(f28(x102473),f317(x102475,f793(x102474,x102475,x102473,x102476,x102472,x102471)))) % 169.26/169.10 [10248]~P79(x102481)+~P1(f317(f28(x102482),x102486))+E(f317(f317(f317(f59(x102481,x102482,f75(x102481)),f317(f317(f8(f906(x102483,a894),x102481,x102482),f317(f317(f59(x102481,x102483,f75(x102481)),x102484),f72(x102481))),x102485)),f72(x102481)),x102486),f317(f317(f317(f59(x102481,x102483,f75(x102481)),x102484),f72(x102481)),f317(f317(f34(x102482,f906(x102483,a894)),x102486),x102485)))+P1(f317(f317(f319(x102482),f794(x102484,x102485,x102483,x102486,x102482,x102481)),x102486))+~P1(f317(f28(x102483),f317(x102485,f793(x102484,x102485,x102483,x102486,x102482,x102481)))) % 169.26/169.10 [10259]~P79(x102591)+~E(f317(f317(f92(f906(x102593,a894)),f317(x102595,f795(x102594,x102595,x102593,x102596,x102592,x102591))),f317(x102595,f794(x102594,x102595,x102593,x102596,x102592,x102591))),f178(f906(x102593,a894)))+~P1(f317(f28(x102592),x102596))+E(f317(f317(f317(f59(x102591,x102592,f75(x102591)),f317(f317(f8(f906(x102593,a894),x102591,x102592),f317(f317(f59(x102591,x102593,f75(x102591)),x102594),f72(x102591))),x102595)),f72(x102591)),x102596),f317(f317(f317(f59(x102591,x102593,f75(x102591)),x102594),f72(x102591)),f317(f317(f34(x102592,f906(x102593,a894)),x102596),x102595)))+P1(f317(f317(f319(x102592),f793(x102594,x102595,x102593,x102596,x102592,x102591)),x102596)) % 169.26/169.10 [10270]~P79(x102701)+~E(f317(f317(f92(f906(x102703,a894)),f317(x102705,f795(x102704,x102705,x102703,x102706,x102702,x102701))),f317(x102705,f794(x102704,x102705,x102703,x102706,x102702,x102701))),f178(f906(x102703,a894)))+~P1(f317(f28(x102702),x102706))+E(f317(f317(f317(f59(x102701,x102702,f75(x102701)),f317(f317(f8(f906(x102703,a894),x102701,x102702),f317(f317(f59(x102701,x102703,f75(x102701)),x102704),f72(x102701))),x102705)),f72(x102701)),x102706),f317(f317(f317(f59(x102701,x102703,f75(x102701)),x102704),f72(x102701)),f317(f317(f34(x102702,f906(x102703,a894)),x102706),x102705)))+~P1(f317(f28(x102703),f317(x102705,f793(x102704,x102705,x102703,x102706,x102702,x102701)))) % 169.26/169.10 [9321]~P121(x93211)+~P118(x93211)+~P1(f317(f317(f277(x93211),x93212),x93215))+~P1(f317(f317(f277(x93211),x93212),f317(f317(f74(x93211),x93213),x93216)))+P1(f317(f317(f277(x93211),x93212),f317(f317(f74(x93211),f317(f317(f23(x93211),x93213),f317(f317(f75(x93211),x93214),x93215))),x93216))) % 169.26/169.10 [9517]~P121(x95171)+~P118(x95171)+~P1(f317(f317(f277(x95171),x95172),x95175))+P1(f317(f317(f277(x95171),x95172),f317(f317(f74(x95171),x95173),x95174)))+~P1(f317(f317(f277(x95171),x95172),f317(f317(f74(x95171),f317(f317(f23(x95171),x95173),f317(f317(f75(x95171),x95176),x95175))),x95174))) % 169.26/169.10 [8927]E(x89271,x89272)+~P59(x89274,x89275,x89276,x89273,x89277)+~E(f317(x89273,x89271),f317(x89273,x89272))+~P1(f317(f317(f319(x89275),x89272),x89277))+~P1(f317(f317(f319(x89275),x89271),x89277)) % 169.26/169.10 [10235]~P1(f317(x102352,x102354))+~E(x102355,f317(f126(x102351,x102352),x102357))+E(f317(f126(x102351,x102352),x102353),f317(f317(f141(x102351),x102354),x102355))+~E(x102353,f317(f317(f124(x102351),x102356),f317(f317(f141(x102351),x102354),x102357)))+P1(f317(x102352,f723(x102355,x102354,x102353,x102352,x102351,x102356,x102357))) % 169.26/169.10 [10236]~P1(f317(x102364,x102362))+~E(x102363,f317(f126(x102361,x102364),x102367))+E(f317(f317(f141(x102361),x102362),x102363),f317(f126(x102361,x102364),x102365))+~E(x102365,f317(f317(f124(x102361),x102366),f317(f317(f141(x102361),x102362),x102367)))+P1(f317(x102364,f727(x102365,x102364,x102363,x102362,x102361,x102366,x102367))) % 169.26/169.10 [10286]~P1(f317(x102862,x102864))+~E(x102865,f317(f126(x102861,x102862),x102867))+E(f317(f126(x102861,x102862),x102863),f317(f317(f141(x102861),x102864),x102865))+~E(x102863,f317(f317(f124(x102861),x102866),f317(f317(f141(x102861),x102864),x102867)))+P1(f317(f317(f319(x102861),f723(x102865,x102864,x102863,x102862,x102861,x102866,x102867)),f317(f162(x102861),x102866))) % 169.26/169.10 [10287]~P1(f317(x102874,x102872))+~E(x102873,f317(f126(x102871,x102874),x102877))+E(f317(f317(f141(x102871),x102872),x102873),f317(f126(x102871,x102874),x102875))+~E(x102875,f317(f317(f124(x102871),x102876),f317(f317(f141(x102871),x102872),x102877)))+P1(f317(f317(f319(x102871),f727(x102875,x102874,x102873,x102872,x102871,x102876,x102877)),f317(f162(x102871),x102876))) % 169.26/169.10 [10291]~P11(x102911,x102917,x102916)+~P14(x102911,f906(x102915,a894),x102916,x102914)+P1(f317(f317(f319(x102911),f449(x102912,x102913,x102914,x102915,x102916,x102917,x102911)),x102917))+~P1(f317(f317(f319(f906(x102911,a894)),x102913),f317(f317(f55(x102911),x102917),x102916)))+P1(f317(f317(f319(f906(x102915,a894)),f317(f317(f34(x102911,f906(x102915,a894)),x102913),x102914)),x102912)) % 169.26/169.10 [10346]~P11(x103462,x103466,x103467)+~P14(x103462,f906(x103461,a894),x103467,x103464)+~P1(f317(f317(f319(f906(x103462,a894)),x103463),f317(f317(f55(x103462),x103466),x103467)))+~P1(f317(f317(f319(f906(x103461,a894)),f317(x103464,f449(x103465,x103463,x103464,x103461,x103467,x103466,x103462))),x103465))+P1(f317(f317(f319(f906(x103461,a894)),f317(f317(f34(x103462,f906(x103461,a894)),x103463),x103464)),x103465)) % 169.26/169.10 [8512]~P79(x85122)+~P27(x85121,x85125,x85128,x85124)+~E(x85123,f317(f67(x85125,x85122,x85121,x85126),x85128))+~E(x85127,f317(f300(x85121,x85125,x85128),x85124))+E(f317(f317(f9(x85121,x85122),x85123),x85124),f317(f317(f9(x85125,x85122),x85126),x85127)) % 169.26/169.10 [10350]~P79(x103502)+~P27(x103505,x103501,x103508,x103507)+~E(f317(x103506,f532(x103503,x103506,x103504,x103507,x103508,x103501,x103505,x103502)),f317(f317(f67(x103501,x103502,x103505,x103503),x103508),f532(x103503,x103506,x103504,x103507,x103508,x103501,x103505,x103502)))+~E(x103504,f317(f300(x103505,x103501,x103508),x103507))+E(f317(f317(f9(x103501,x103502),x103503),x103504),f317(f317(f9(x103505,x103502),x103506),x103507)) % 169.26/169.10 [10353]~P79(x103532)+~P27(x103531,x103535,x103538,x103534)+~E(x103537,f317(f300(x103531,x103535,x103538),x103534))+E(f317(f317(f9(x103531,x103532),x103533),x103534),f317(f317(f9(x103535,x103532),x103536),x103537))+P1(f317(f317(f319(x103531),f532(x103536,x103533,x103537,x103534,x103538,x103535,x103531,x103532)),x103534)) % 169.26/169.10 [10354]~P76(x103542)+~P27(x103541,x103545,x103548,x103544)+~E(x103547,f317(f300(x103541,x103545,x103548),x103544))+E(f317(f317(f6(x103541,x103542),x103543),x103544),f317(f317(f6(x103545,x103542),x103546),x103547))+P1(f317(f317(f319(x103541),f554(x103546,x103543,x103547,x103544,x103548,x103545,x103541,x103542)),x103544)) % 169.26/169.10 [10359]~P76(x103592)+~P27(x103595,x103591,x103598,x103597)+~E(x103594,f317(f300(x103595,x103591,x103598),x103597))+~E(f317(x103596,f554(x103593,x103596,x103594,x103597,x103598,x103591,x103595,x103592)),f317(x103593,f317(x103598,f554(x103593,x103596,x103594,x103597,x103598,x103591,x103595,x103592))))+E(f317(f317(f6(x103591,x103592),x103593),x103594),f317(f317(f6(x103595,x103592),x103596),x103597)) % 169.26/169.10 [9819]~P26(x98196,x98192,x98195,x98197,x98198,x98191)+~P1(f317(f28(x98192),x98194))+~P1(f317(f28(x98192),x98193))+~E(f317(f317(f92(f906(x98192,a894)),x98193),x98194),f178(f906(x98192,a894)))+E(f317(x98191,f317(f317(f91(f906(x98192,a894)),x98193),x98194)),f317(f317(x98195,f317(x98191,x98193)),f317(x98191,x98194))) % 169.26/169.10 [10221]~P26(x102218,x102212,x102215,x102217,x102216,x102211)+~E(f317(x102216,f487(x102214,x102213,x102211,x102216,x102217,x102215,x102212)),x102217)+~P1(f317(f28(x102212),x102213))+~P1(f317(f28(x102212),x102214))+E(f317(x102211,f317(f317(f91(f906(x102212,a894)),x102213),x102214)),f317(f317(x102215,f317(x102211,x102213)),f317(x102211,x102214))) % 169.26/169.10 [10298]~P26(x102988,x102982,x102985,x102987,x102986,x102981)+~P1(f317(f28(x102982),x102983))+~P1(f317(f28(x102982),x102984))+E(f317(x102981,f317(f317(f91(f906(x102982,a894)),x102983),x102984)),f317(f317(x102985,f317(x102981,x102983)),f317(x102981,x102984)))+P1(f317(f317(f319(x102982),f487(x102984,x102983,x102981,x102986,x102987,x102985,x102982)),f317(f317(f92(f906(x102982,a894)),x102983),x102984))) % 169.26/169.10 [9974]~P11(x99744,x99748,x99745)+~P11(x99741,x99749,x99743)+~P15(x99741,x99744,f906(x99742,a894),x99743,x99745,x99747)+P14(x99741,f906(x99742,a894),x99743,f317(f317(f8(f906(x99744,f906(x99742,a894)),f906(x99742,a894),x99741),f317(f34(x99744,f906(x99742,a894)),f317(f275(x99744,x99744,x99745),f317(f317(f299(x99744),x99746),f178(f906(x99744,a894)))))),x99747))+~P1(f317(f317(f319(x99744),x99746),x99748)) % 169.26/169.10 [5492]~P4(x54923)+~P16(x54923,x54921)+E(x54921,f704(x54922,x54923))+~E(f317(f162(x54923),x54921),x54922)+~P1(f317(f28(x54923),x54922))+~P1(f317(f127(x54923),x54921)) % 169.26/169.10 [7362]P18(x73621,x73622)+~E(f317(x73622,f785(x73622)),f317(x73622,f786(x73622)))+~P1(f317(f317(x73622,f785(x73622)),f785(x73622)))+~P1(f317(f317(x73622,f785(x73622)),f786(x73622)))+~P1(f317(f317(x73622,f786(x73622)),f786(x73622)))+~P1(f317(f317(x73622,x73623),x73623)) % 169.26/169.10 [5118]~P127(x51182)+~P133(x51182)+~P134(x51182)+~P115(x51182)+E(x51181,f2(x51182))+~E(f317(f317(f234(x51182),x51181),x51183),f2(x51182)) % 169.26/169.10 [5119]~P127(x51192)+~P133(x51192)+~P134(x51192)+~P115(x51192)+~E(x51191,f2(a897))+~E(f317(f317(f234(x51192),x51193),x51191),f2(x51192)) % 169.26/169.10 [6596]~P86(x65961)+~E(x65963,f2(x65961))+~E(x65962,f2(x65961))+E(f317(f317(f74(x65961),x65962),x65963),f2(x65961))+~P1(f317(f317(f224(x65961),f2(x65961)),x65963))+~P1(f317(f317(f224(x65961),f2(x65961)),x65962)) % 169.26/169.10 [8995]~E(f317(f241(a897,a897),x89953),f2(a897))+~E(x89951,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x89953)),x89952)),f317(f246(a897,a897),x89953)))+P1(f317(f43(x89951,x89952),x89953))+~P1(f317(f317(f224(a897),f317(f246(a897,a897),x89953)),f2(a897)))+P1(f317(f317(f225(a897),f2(a897)),x89952))+~P1(f317(f317(f225(a897),x89952),f317(f246(a897,a897),x89953))) % 169.26/169.10 [9003]E(x90031,f2(a897))+~E(x90032,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x90033)),x90031)),f317(f246(a897,a897),x90033)))+P1(f317(f43(x90032,x90031),x90033))+~P1(f317(f317(f225(a897),f2(a897)),x90031))+~P1(f317(f317(f224(a897),f2(a897)),f317(f246(a897,a897),x90033)))+~P1(f317(f317(f225(a897),f317(f246(a897,a897),x90033)),x90031)) % 169.26/169.10 [9021]~E(f317(f241(a897,a897),x90213),f2(a897))+~E(x90211,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x90213)),x90212)),f317(f246(a897,a897),x90213)))+P1(f317(f43(x90211,x90212),x90213))+~P1(f317(f317(f225(a897),f2(a897)),x90212))+~P1(f317(f317(f224(a897),f2(a897)),f317(f246(a897,a897),x90213)))+~P1(f317(f317(f225(a897),f317(f246(a897,a897),x90213)),x90212)) % 169.26/169.10 [6986]~P4(x69862)+E(x69861,f178(f906(x69862,a894)))+E(x69863,f178(f906(x69862,a894)))+~P1(f317(f28(x69862),x69861))+~P1(f317(f28(x69862),x69863))+E(f14(x69862,f317(f317(f91(f906(x69862,a894)),x69863),x69861)),f317(f317(f228(x69862),f14(x69862,x69863)),f14(x69862,x69861))) % 169.26/169.10 [6987]~P4(x69872)+E(x69871,f178(f906(x69872,a894)))+E(x69873,f178(f906(x69872,a894)))+~P1(f317(f28(x69872),x69871))+~P1(f317(f28(x69872),x69873))+E(f15(x69872,f317(f317(f91(f906(x69872,a894)),x69873),x69871)),f317(f317(f223(x69872),f15(x69872,x69873)),f15(x69872,x69871))) % 169.26/169.10 [6988]~P101(x69882)+E(x69881,f178(f906(x69882,a894)))+E(x69883,f178(f906(x69882,a894)))+~P1(f317(f28(x69882),x69881))+~P1(f317(f28(x69882),x69883))+E(f13(x69882,f317(f317(f91(f906(x69882,a894)),x69883),x69881)),f317(f317(f91(x69882),f13(x69882,x69883)),f13(x69882,x69881))) % 169.26/169.10 [6989]~P101(x69892)+E(x69891,f178(f906(x69892,a894)))+E(x69893,f178(f906(x69892,a894)))+~P1(f317(f28(x69892),x69891))+~P1(f317(f28(x69892),x69893))+E(f10(x69892,f317(f317(f91(f906(x69892,a894)),x69893),x69891)),f317(f317(f92(x69892),f10(x69892,x69893)),f10(x69892,x69891))) % 169.26/169.10 [7632]~P99(x76322)+E(x76321,f178(f906(x76322,a894)))+E(x76323,f178(f906(x76322,a894)))+~P1(f317(f28(x76322),x76321))+~P1(f317(f28(x76322),x76323))+E(f317(f317(f75(x76322),f317(f57(x76322,f75(x76322)),x76323)),f317(f57(x76322,f75(x76322)),x76321)),f317(f57(x76322,f75(x76322)),f317(f317(f91(f906(x76322,a894)),x76323),x76321))) % 169.26/169.10 [7794]~P4(x77942)+E(x77941,f178(f906(x77942,a894)))+E(x77943,f178(f906(x77942,a894)))+~P1(f317(f28(x77942),x77941))+~P1(f317(f28(x77942),x77943))+E(f317(f317(f228(x77942),f11(x77942,f228(x77942),x77943)),f11(x77942,f228(x77942),x77941)),f11(x77942,f228(x77942),f317(f317(f91(f906(x77942,a894)),x77943),x77941))) % 169.26/169.10 [7795]~P4(x77952)+E(x77951,f178(f906(x77952,a894)))+E(x77953,f178(f906(x77952,a894)))+~P1(f317(f28(x77952),x77951))+~P1(f317(f28(x77952),x77953))+E(f317(f317(f223(x77952),f12(x77952,f223(x77952),x77953)),f12(x77952,f223(x77952),x77951)),f12(x77952,f223(x77952),f317(f317(f91(f906(x77952,a894)),x77953),x77951))) % 169.26/169.10 [8828]~P1(f317(x88281,x88283))+P1(f317(x88281,f387(x88281,x88282)))+P1(f317(x88281,f383(x88281,x88282)))+~P1(f317(f317(f225(a1),f2(a1)),x88282))+~P1(f317(f317(f319(a1),x88283),f293(a1,f72(a1),x88282)))+P1(f317(x88281,f317(f317(f23(a1),f383(x88281,x88282)),f317(f317(f75(a1),f385(x88281,x88282)),x88282)))) % 169.26/169.10 [9130]~P1(f317(x91301,x91303))+~P1(f317(x91301,f383(x91301,x91302)))+P1(f317(x91301,f387(x91301,x91302)))+~P1(f317(f317(f225(a1),f2(a1)),x91302))+~P1(f317(f317(f319(a1),x91303),f293(a1,f72(a1),x91302)))+~P1(f317(x91301,f317(f317(f23(a1),f383(x91301,x91302)),f317(f317(f75(a1),f385(x91301,x91302)),x91302)))) % 169.26/169.10 [10386]~P104(x103862)+E(x103861,f178(f906(x103862,a894)))+E(x103863,f178(f906(x103862,a894)))+~P1(f317(f28(x103862),x103861))+~P1(f317(f28(x103862),x103863))+E(f10(x103862,f317(f252(x103862),f317(f317(f8(f906(x103862,a894),a894,x103862),f81(x103862)),f317(f317(f8(f906(x103862,f906(x103862,a894)),f906(x103862,a894),x103862),f317(f8(f906(x103862,a894),a894,x103862),f81(x103862))),f317(f317(f7(x103862,f906(x103862,f906(x103862,a894)),f906(x103862,f906(x103862,a894))),f317(f317(f8(f906(x103862,f906(f906(x103862,a894),f906(x103862,a894))),f906(f906(x103862,f906(x103862,a894)),f906(x103862,f906(x103862,a894))),x103862),f18(x103862,f906(x103862,a894),f906(x103862,a894))),f317(f317(f8(f906(x103862,f906(x103862,f906(a894,a894))),f906(x103862,f906(f906(x103862,a894),f906(x103862,a894))),x103862),f317(f8(f906(x103862,f906(a894,a894)),f906(f906(x103862,a894),f906(x103862,a894)),x103862),f18(x103862,a894,a894))),f317(f317(f8(f906(x103862,f906(x103862,a894)),f906(x103862,f906(x103862,f906(a894,a894))),x103862),f317(f8(f906(x103862,a894),f906(x103862,f906(a894,a894)),x103862),f317(f8(a894,f906(a894,a894),x103862),a315))),f317(f317(f7(x103862,f906(x103862,f906(x103862,x103862)),f906(x103862,f906(x103862,a894))),f317(f317(f8(f906(f906(x103862,x103862),f906(x103862,a894)),f906(f906(x103862,f906(x103862,x103862)),f906(x103862,f906(x103862,a894))),x103862),f8(f906(x103862,x103862),f906(x103862,a894),x103862)),f317(f317(f8(f906(x103862,a894),f906(f906(x103862,x103862),f906(x103862,a894)),x103862),f8(x103862,a894,x103862)),a314))),f91(x103862)))))),f317(f317(f7(x103862,f906(x103862,a894),f906(x103862,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x103862,a894),f906(x103862,a894)),x103862),f8(a894,a894,x103862)),f317(f317(f8(a894,f906(a894,a894),x103862),a315),f317(f317(f7(x103862,f906(x103862,a894),a894),f319(x103862)),x103863)))),f317(f317(f7(x103862,f906(x103862,a894),a894),f319(x103862)),x103861))))))),f317(f317(f91(x103862),f10(x103862,x103863)),f10(x103862,x103861))) % 169.26/169.10 [10387]~P104(x103872)+E(x103871,f178(f906(x103872,a894)))+E(x103873,f178(f906(x103872,a894)))+~P1(f317(f28(x103872),x103871))+~P1(f317(f28(x103872),x103873))+E(f13(x103872,f317(f252(x103872),f317(f317(f8(f906(x103872,a894),a894,x103872),f81(x103872)),f317(f317(f8(f906(x103872,f906(x103872,a894)),f906(x103872,a894),x103872),f317(f8(f906(x103872,a894),a894,x103872),f81(x103872))),f317(f317(f7(x103872,f906(x103872,f906(x103872,a894)),f906(x103872,f906(x103872,a894))),f317(f317(f8(f906(x103872,f906(f906(x103872,a894),f906(x103872,a894))),f906(f906(x103872,f906(x103872,a894)),f906(x103872,f906(x103872,a894))),x103872),f18(x103872,f906(x103872,a894),f906(x103872,a894))),f317(f317(f8(f906(x103872,f906(x103872,f906(a894,a894))),f906(x103872,f906(f906(x103872,a894),f906(x103872,a894))),x103872),f317(f8(f906(x103872,f906(a894,a894)),f906(f906(x103872,a894),f906(x103872,a894)),x103872),f18(x103872,a894,a894))),f317(f317(f8(f906(x103872,f906(x103872,a894)),f906(x103872,f906(x103872,f906(a894,a894))),x103872),f317(f8(f906(x103872,a894),f906(x103872,f906(a894,a894)),x103872),f317(f8(a894,f906(a894,a894),x103872),a315))),f317(f317(f7(x103872,f906(x103872,f906(x103872,x103872)),f906(x103872,f906(x103872,a894))),f317(f317(f8(f906(f906(x103872,x103872),f906(x103872,a894)),f906(f906(x103872,f906(x103872,x103872)),f906(x103872,f906(x103872,a894))),x103872),f8(f906(x103872,x103872),f906(x103872,a894),x103872)),f317(f317(f8(f906(x103872,a894),f906(f906(x103872,x103872),f906(x103872,a894)),x103872),f8(x103872,a894,x103872)),a314))),f92(x103872)))))),f317(f317(f7(x103872,f906(x103872,a894),f906(x103872,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x103872,a894),f906(x103872,a894)),x103872),f8(a894,a894,x103872)),f317(f317(f8(a894,f906(a894,a894),x103872),a315),f317(f317(f7(x103872,f906(x103872,a894),a894),f319(x103872)),x103873)))),f317(f317(f7(x103872,f906(x103872,a894),a894),f319(x103872)),x103871))))))),f317(f317(f92(x103872),f13(x103872,x103873)),f13(x103872,x103871))) % 169.26/169.10 [10388]~P4(x103882)+E(x103881,f178(f906(x103882,a894)))+E(x103883,f178(f906(x103882,a894)))+~P1(f317(f28(x103882),x103881))+~P1(f317(f28(x103882),x103883))+E(f12(x103882,f223(x103882),f317(f252(x103882),f317(f317(f8(f906(x103882,a894),a894,x103882),f81(x103882)),f317(f317(f8(f906(x103882,f906(x103882,a894)),f906(x103882,a894),x103882),f317(f8(f906(x103882,a894),a894,x103882),f81(x103882))),f317(f317(f7(x103882,f906(x103882,f906(x103882,a894)),f906(x103882,f906(x103882,a894))),f317(f317(f8(f906(x103882,f906(f906(x103882,a894),f906(x103882,a894))),f906(f906(x103882,f906(x103882,a894)),f906(x103882,f906(x103882,a894))),x103882),f18(x103882,f906(x103882,a894),f906(x103882,a894))),f317(f317(f8(f906(x103882,f906(x103882,f906(a894,a894))),f906(x103882,f906(f906(x103882,a894),f906(x103882,a894))),x103882),f317(f8(f906(x103882,f906(a894,a894)),f906(f906(x103882,a894),f906(x103882,a894)),x103882),f18(x103882,a894,a894))),f317(f317(f8(f906(x103882,f906(x103882,a894)),f906(x103882,f906(x103882,f906(a894,a894))),x103882),f317(f8(f906(x103882,a894),f906(x103882,f906(a894,a894)),x103882),f317(f8(a894,f906(a894,a894),x103882),a315))),f317(f317(f7(x103882,f906(x103882,f906(x103882,x103882)),f906(x103882,f906(x103882,a894))),f317(f317(f8(f906(f906(x103882,x103882),f906(x103882,a894)),f906(f906(x103882,f906(x103882,x103882)),f906(x103882,f906(x103882,a894))),x103882),f8(f906(x103882,x103882),f906(x103882,a894),x103882)),f317(f317(f8(f906(x103882,a894),f906(f906(x103882,x103882),f906(x103882,a894)),x103882),f8(x103882,a894,x103882)),a314))),f228(x103882)))))),f317(f317(f7(x103882,f906(x103882,a894),f906(x103882,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x103882,a894),f906(x103882,a894)),x103882),f8(a894,a894,x103882)),f317(f317(f8(a894,f906(a894,a894),x103882),a315),f317(f317(f7(x103882,f906(x103882,a894),a894),f319(x103882)),x103883)))),f317(f317(f7(x103882,f906(x103882,a894),a894),f319(x103882)),x103881))))))),f317(f317(f228(x103882),f12(x103882,f223(x103882),x103883)),f12(x103882,f223(x103882),x103881))) % 169.26/169.10 [10389]~P4(x103892)+E(x103891,f178(f906(x103892,a894)))+E(x103893,f178(f906(x103892,a894)))+~P1(f317(f28(x103892),x103891))+~P1(f317(f28(x103892),x103893))+E(f11(x103892,f228(x103892),f317(f252(x103892),f317(f317(f8(f906(x103892,a894),a894,x103892),f81(x103892)),f317(f317(f8(f906(x103892,f906(x103892,a894)),f906(x103892,a894),x103892),f317(f8(f906(x103892,a894),a894,x103892),f81(x103892))),f317(f317(f7(x103892,f906(x103892,f906(x103892,a894)),f906(x103892,f906(x103892,a894))),f317(f317(f8(f906(x103892,f906(f906(x103892,a894),f906(x103892,a894))),f906(f906(x103892,f906(x103892,a894)),f906(x103892,f906(x103892,a894))),x103892),f18(x103892,f906(x103892,a894),f906(x103892,a894))),f317(f317(f8(f906(x103892,f906(x103892,f906(a894,a894))),f906(x103892,f906(f906(x103892,a894),f906(x103892,a894))),x103892),f317(f8(f906(x103892,f906(a894,a894)),f906(f906(x103892,a894),f906(x103892,a894)),x103892),f18(x103892,a894,a894))),f317(f317(f8(f906(x103892,f906(x103892,a894)),f906(x103892,f906(x103892,f906(a894,a894))),x103892),f317(f8(f906(x103892,a894),f906(x103892,f906(a894,a894)),x103892),f317(f8(a894,f906(a894,a894),x103892),a315))),f317(f317(f7(x103892,f906(x103892,f906(x103892,x103892)),f906(x103892,f906(x103892,a894))),f317(f317(f8(f906(f906(x103892,x103892),f906(x103892,a894)),f906(f906(x103892,f906(x103892,x103892)),f906(x103892,f906(x103892,a894))),x103892),f8(f906(x103892,x103892),f906(x103892,a894),x103892)),f317(f317(f8(f906(x103892,a894),f906(f906(x103892,x103892),f906(x103892,a894)),x103892),f8(x103892,a894,x103892)),a314))),f223(x103892)))))),f317(f317(f7(x103892,f906(x103892,a894),f906(x103892,a894)),f317(f317(f8(f906(a894,a894),f906(f906(x103892,a894),f906(x103892,a894)),x103892),f8(a894,a894,x103892)),f317(f317(f8(a894,f906(a894,a894),x103892),a315),f317(f317(f7(x103892,f906(x103892,a894),a894),f319(x103892)),x103893)))),f317(f317(f7(x103892,f906(x103892,a894),a894),f319(x103892)),x103891))))))),f317(f317(f223(x103892),f11(x103892,f228(x103892),x103893)),f11(x103892,f228(x103892),x103891))) % 169.26/169.10 [7318]~P110(x73183)+E(x73181,x73182)+~E(f317(f317(f234(x73183),x73181),x73184),f317(f317(f234(x73183),x73182),x73184))+~P1(f317(f317(f224(x73183),f2(x73183)),x73182))+~P1(f317(f317(f224(x73183),f2(x73183)),x73181))+~P1(f317(f317(f225(a897),f2(a897)),x73184)) % 169.26/169.10 [7591]~P4(x75912)+E(x75911,f178(f906(x75912,a894)))+~P1(f317(f28(x75912),x75911))+~P1(f317(f317(f319(x75912),x75914),x75911))+P1(f317(f317(f224(x75912),x75913),x75914))+~P1(f317(f317(f224(x75912),x75913),f317(f57(x75912,f228(x75912)),x75911))) % 169.26/169.10 [7592]~P106(x75922)+E(x75921,f178(f906(x75922,a894)))+~P1(f317(f28(x75922),x75921))+~P1(f317(f317(f319(x75922),x75924),x75921))+P1(f317(f317(f224(x75922),x75923),x75924))+~P1(f317(f317(f224(x75922),x75923),f317(f57(x75922,f92(x75922)),x75921))) % 169.26/169.10 [7593]~P4(x75932)+E(x75931,f178(f906(x75932,a894)))+~P1(f317(f28(x75932),x75931))+~P1(f317(f317(f319(x75932),x75934),x75931))+P1(f317(f317(f225(x75932),x75933),x75934))+~P1(f317(f317(f225(x75932),x75933),f317(f57(x75932,f228(x75932)),x75931))) % 169.26/169.10 [7498]E(x74981,f2(a1))+E(f317(f317(f30(a1),x74982),x74981),x74983)+~P1(f317(f317(f224(a1),x74984),f2(a1)))+~E(x74982,f317(f317(f74(a1),f317(f317(f75(a1),x74981),x74983)),x74984))+P1(f317(f317(f225(a1),f2(a1)),x74981))+~P1(f317(f317(f225(a1),x74981),x74984)) % 169.26/169.10 [7515]E(f40(a1,x75152,x75151),x75153)+E(x75151,f2(a1))+~P1(f317(f317(f224(a1),x75153),f2(a1)))+~E(x75152,f317(f317(f74(a1),f317(f317(f75(a1),x75151),x75154)),x75153))+P1(f317(f317(f225(a1),f2(a1)),x75151))+~P1(f317(f317(f225(a1),x75151),x75153)) % 169.26/169.10 [7631]E(x76311,f2(a1))+E(f317(f317(f30(a1),x76312),x76311),x76313)+~E(x76312,f317(f317(f74(a1),f317(f317(f75(a1),x76311),x76313)),x76314))+~P1(f317(f317(f224(a1),f2(a1)),x76314))+~P1(f317(f317(f225(a1),f2(a1)),x76311))+~P1(f317(f317(f225(a1),x76314),x76311)) % 169.26/169.10 [7654]E(f40(a1,x76542,x76541),x76543)+E(x76541,f2(a1))+~E(x76542,f317(f317(f74(a1),f317(f317(f75(a1),x76541),x76544)),x76543))+~P1(f317(f317(f224(a1),f2(a1)),x76543))+~P1(f317(f317(f225(a1),f2(a1)),x76541))+~P1(f317(f317(f225(a1),x76543),x76541)) % 169.26/169.10 [7798]~P4(x77982)+E(x77981,f178(f906(x77982,a894)))+~P1(f317(f28(x77982),x77981))+~P1(f317(f317(f319(x77982),x77984),x77981))+~P1(f317(f317(f224(x77982),x77984),x77983))+P1(f317(f317(f224(x77982),f317(f57(x77982,f228(x77982)),x77981)),x77983)) % 169.26/169.10 [7799]~P4(x77992)+E(x77991,f178(f906(x77992,a894)))+~P1(f317(f28(x77992),x77991))+~P1(f317(f317(f225(x77992),x77994),x77993))+~P1(f317(f317(f319(x77992),x77994),x77991))+P1(f317(f317(f225(x77992),f317(f57(x77992,f228(x77992)),x77991)),x77993)) % 169.26/169.10 [8364]~P1(f317(f317(f224(a1),x83644),f2(a1)))+~E(x83641,f317(f317(f74(a1),f317(f317(f75(a1),x83642),x83643)),x83644))+~P1(f317(f317(f224(a1),f2(a1)),x83644))+~P1(f317(f317(f225(a1),x83644),x83642))+~P1(f317(f317(f225(a1),x83642),x83644))+P1(f317(f44(x83641,x83642),f317(f317(f242(a1,a1),x83643),x83644))) % 169.26/169.10 [8532]~P109(x85321)+P1(f317(f317(f225(f906(x85321,a894)),f293(x85321,x85322,x85323)),f293(x85321,x85324,x85325)))+~P1(f317(f317(f224(x85321),x85324),x85322))+~P1(f317(f317(f224(x85321),x85324),x85325))+~P1(f317(f317(f224(x85321),x85323),x85325))+~P1(f317(f317(f225(x85321),x85323),x85325)) % 169.26/169.10 [8533]~P109(x85331)+P1(f317(f317(f225(f906(x85331,a894)),f293(x85331,x85332,x85333)),f293(x85331,x85334,x85335)))+~P1(f317(f317(f224(x85331),x85333),x85335))+~P1(f317(f317(f224(x85331),x85334),x85335))+~P1(f317(f317(f224(x85331),x85334),x85332))+~P1(f317(f317(f225(x85331),x85334),x85332)) % 169.26/169.10 [9396]P61(x93962,x93963,x93964,x93961)+E(x93961,f178(f906(x93962,a894)))+~P1(f317(f28(x93962),x93964))+~P1(f317(f28(x93962),x93961))+~P1(f317(f317(x93963,f463(x93961,x93964,x93963,x93962)),x93965))+~P1(f317(f317(f319(x93962),x93965),x93961)) % 169.26/169.10 [9397]P61(x93972,x93973,x93974,x93971)+E(x93971,f178(f906(x93972,a894)))+~P1(f317(f28(x93972),x93974))+~P1(f317(f28(x93972),x93971))+~P1(f317(f317(x93973,f777(x93973,x93971,x93974,x93972)),x93975))+~P1(f317(f317(f319(x93972),x93975),x93971)) % 169.26/169.10 [9398]P61(x93982,x93983,x93984,x93981)+E(x93981,f178(f906(x93982,a894)))+~P1(f317(f28(x93982),x93984))+~P1(f317(f28(x93982),x93981))+~P1(f317(f317(x93983,f778(x93981,x93984,x93983,x93982)),x93985))+~P1(f317(f317(f319(x93982),x93985),x93981)) % 169.26/169.10 [9546]~E(x95463,x95465)+~P76(x95461)+~P79(x95461)+~P42(x95463)+E(f317(f317(f9(a1,x95461),x95462),x95463),f317(f317(f9(a1,x95461),x95464),x95465))+P1(f317(f317(f224(a1),f2(a1)),f430(x95462,x95464,x95463,x95465,x95461))) % 169.26/169.10 [9547]~E(x95473,x95475)+~P76(x95471)+~P79(x95471)+~P42(x95473)+E(f317(f317(f6(a1,x95471),x95472),x95473),f317(f317(f6(a1,x95471),x95474),x95475))+P1(f317(f317(f224(a1),f2(a1)),f454(x95472,x95474,x95473,x95475,x95471))) % 169.26/169.10 [9729]~E(x97295,x97293)+~P76(x97291)+~P79(x97291)+~P42(x97295)+~E(f317(x97292,f430(x97294,x97292,x97295,x97293,x97291)),f317(x97294,f430(x97294,x97292,x97295,x97293,x97291)))+E(f317(f317(f9(a1,x97291),x97292),x97293),f317(f317(f9(a1,x97291),x97294),x97295)) % 169.26/169.10 [9730]~E(x97305,x97303)+~P76(x97301)+~P79(x97301)+~P42(x97305)+~E(f317(x97302,f454(x97304,x97302,x97305,x97303,x97301)),f317(x97304,f454(x97304,x97302,x97305,x97303,x97301)))+E(f317(f317(f6(a1,x97301),x97302),x97303),f317(f317(f6(a1,x97301),x97304),x97305)) % 169.26/169.10 [9817]~P81(x98173)+E(f317(x98171,x98172),f2(x98173))+~E(f317(f317(f6(x98174,x98173),x98171),x98175),f2(x98173))+~P1(f317(f28(x98174),x98175))+P1(f317(f317(f319(x98174),f419(x98172,x98171,x98175,x98174,x98173)),x98175))+~P1(f317(f317(f319(x98174),x98172),x98175)) % 169.26/169.10 [9945]~P81(x99453)+E(f317(x99451,x99452),f2(x99453))+~E(f317(f317(f6(x99454,x99453),x99451),x99455),f2(x99453))+~P1(f317(f28(x99454),x99455))+~P1(f317(f317(f319(x99454),x99452),x99455))+~P1(f317(f317(f224(x99453),f2(x99453)),f317(x99451,f419(x99452,x99451,x99455,x99454,x99453)))) % 169.26/169.10 [8449]~P139(x84491)+~P1(f317(f317(f224(x84491),x84493),x84495))+~P1(f317(f317(f224(x84491),x84492),x84494))+~P1(f317(f317(f224(x84491),f2(x84491)),x84493))+~P1(f317(f317(f224(x84491),f2(x84491)),x84494))+P1(f317(f317(f224(x84491),f317(f317(f75(x84491),x84492),x84493)),f317(f317(f75(x84491),x84494),x84495))) % 169.26/169.10 [8450]~P139(x84501)+~P1(f317(f317(f224(x84501),x84503),x84505))+~P1(f317(f317(f224(x84501),x84502),x84504))+~P1(f317(f317(f224(x84501),f2(x84501)),x84503))+~P1(f317(f317(f224(x84501),f2(x84501)),x84502))+P1(f317(f317(f224(x84501),f317(f317(f75(x84501),x84502),x84503)),f317(f317(f75(x84501),x84504),x84505))) % 169.26/169.10 [8451]~P67(x84511)+~P1(f317(f317(f225(x84511),f2(x84511)),x84515))+~P1(f317(f317(f224(x84511),x84515),x84513))+~P1(f317(f317(f224(x84511),x84512),x84514))+~P1(f317(f317(f224(x84511),f2(x84511)),x84512))+P1(f317(f317(f224(x84511),f317(f317(f281(x84511),x84512),x84513)),f317(f317(f281(x84511),x84514),x84515))) % 169.26/169.10 [8452]~P135(x84521)+~P1(f317(f317(f224(x84521),x84523),x84525))+~P1(f317(f317(f224(x84521),f2(x84521)),x84522))+~P1(f317(f317(f225(x84521),x84522),x84524))+~P1(f317(f317(f225(x84521),f2(x84521)),x84523))+P1(f317(f317(f225(x84521),f317(f317(f75(x84521),x84522),x84523)),f317(f317(f75(x84521),x84524),x84525))) % 169.26/169.10 [8453]~P135(x84531)+~P1(f317(f317(f224(x84531),x84532),x84534))+~P1(f317(f317(f224(x84531),f2(x84531)),x84533))+~P1(f317(f317(f225(x84531),x84533),x84535))+~P1(f317(f317(f225(x84531),f2(x84531)),x84532))+P1(f317(f317(f225(x84531),f317(f317(f75(x84531),x84532),x84533)),f317(f317(f75(x84531),x84534),x84535))) % 169.26/169.10 [8454]~P135(x84541)+~P1(f317(f317(f224(x84541),f2(x84541)),x84543))+~P1(f317(f317(f224(x84541),f2(x84541)),x84542))+~P1(f317(f317(f225(x84541),x84543),x84545))+~P1(f317(f317(f225(x84541),x84542),x84544))+P1(f317(f317(f225(x84541),f317(f317(f75(x84541),x84542),x84543)),f317(f317(f75(x84541),x84544),x84545))) % 169.26/169.10 [8455]~P135(x84551)+~P1(f317(f317(f224(x84551),f2(x84551)),x84553))+~P1(f317(f317(f225(x84551),x84553),x84555))+~P1(f317(f317(f225(x84551),x84552),x84554))+~P1(f317(f317(f225(x84551),f2(x84551)),x84554))+P1(f317(f317(f225(x84551),f317(f317(f75(x84551),x84552),x84553)),f317(f317(f75(x84551),x84554),x84555))) % 169.26/169.10 [8456]~P67(x84561)+~P1(f317(f317(f224(x84561),x84565),x84563))+~P1(f317(f317(f224(x84561),f2(x84561)),x84562))+~P1(f317(f317(f225(x84561),x84562),x84564))+~P1(f317(f317(f225(x84561),f2(x84561)),x84565))+P1(f317(f317(f225(x84561),f317(f317(f281(x84561),x84562),x84563)),f317(f317(f281(x84561),x84564),x84565))) % 169.26/169.10 [8457]~P67(x84571)+~P1(f317(f317(f224(x84571),x84572),x84574))+~P1(f317(f317(f225(x84571),x84575),x84573))+~P1(f317(f317(f225(x84571),f2(x84571)),x84575))+~P1(f317(f317(f225(x84571),f2(x84571)),x84572))+P1(f317(f317(f225(x84571),f317(f317(f281(x84571),x84572),x84573)),f317(f317(f281(x84571),x84574),x84575))) % 169.26/169.10 [9860]~P76(x98605)+~P90(x98605)+E(x98601,f178(f906(x98602,a894)))+~P1(f317(f28(x98602),x98601))+P1(f317(f317(f319(x98602),f428(x98603,x98604,x98601,x98602,x98605)),x98601))+P1(f317(f317(f225(x98605),f317(f317(f6(x98602,x98605),x98604),x98601)),f317(f317(f6(x98602,x98605),x98603),x98601))) % 169.26/169.10 [9970]~P76(x99701)+~P88(x99701)+~P1(f317(f28(x99702),x99705))+~P1(f317(f317(f224(x99701),f2(x99701)),f317(x99703,f420(x99703,x99704,x99705,x99702,x99701))))+P1(f317(f317(f224(x99701),f317(f317(f6(x99702,x99701),x99703),x99704)),f317(f317(f6(x99702,x99701),x99703),x99705)))+~P1(f317(f317(f224(f906(x99702,a894)),x99704),x99705)) % 169.26/169.10 [10139]~P76(x101393)+~P90(x101393)+E(x101391,f178(f906(x101392,a894)))+~P1(f317(f28(x101392),x101391))+~P1(f317(f317(f225(x101393),f317(x101394,f428(x101395,x101394,x101391,x101392,x101393))),f317(x101395,f428(x101395,x101394,x101391,x101392,x101393))))+P1(f317(f317(f225(x101393),f317(f317(f6(x101392,x101393),x101394),x101391)),f317(f317(f6(x101392,x101393),x101395),x101391))) % 169.26/169.10 [7174]~P20(x71742,x71745,x71744)+E(x71741,f178(f906(x71742,a894)))+E(x71743,f178(f906(x71742,a894)))+~P1(f317(f28(x71742),x71741))+~P1(f317(f28(x71742),x71743))+E(f317(x71744,f317(f317(f91(f906(x71742,a894)),x71743),x71741)),f317(f317(x71745,f317(x71744,x71743)),f317(x71744,x71741))) % 169.26/169.10 [7764]~P148(x77641,x77644,x77643)+P1(f317(x77641,x77642))+~P1(f317(f317(f225(a1),x77644),f2(a1)))+~P1(f317(f317(f224(a1),x77645),f2(a1)))+~E(x77643,f317(f317(f74(a1),f317(f317(f75(a1),x77644),x77642)),x77645))+~P1(f317(f317(f225(a1),x77644),x77645)) % 169.26/169.10 [7765]~P147(x77651,x77654,x77653)+P1(f317(x77651,x77652))+~P1(f317(f317(f225(a1),x77654),f2(a1)))+~P1(f317(f317(f224(a1),x77652),f2(a1)))+~E(x77653,f317(f317(f74(a1),f317(f317(f75(a1),x77654),x77655)),x77652))+~P1(f317(f317(f225(a1),x77654),x77652)) % 169.26/169.10 [7807]~P148(x78071,x78074,x78073)+P1(f317(x78071,x78072))+~E(x78073,f317(f317(f74(a1),f317(f317(f75(a1),x78074),x78072)),x78075))+~P1(f317(f317(f224(a1),f2(a1)),x78075))+~P1(f317(f317(f225(a1),f2(a1)),x78074))+~P1(f317(f317(f225(a1),x78075),x78074)) % 169.26/169.10 [7808]~P147(x78081,x78084,x78083)+P1(f317(x78081,x78082))+~E(x78083,f317(f317(f74(a1),f317(f317(f75(a1),x78084),x78085)),x78082))+~P1(f317(f317(f224(a1),f2(a1)),x78082))+~P1(f317(f317(f225(a1),f2(a1)),x78084))+~P1(f317(f317(f225(a1),x78082),x78084)) % 169.26/169.10 [8741]P1(f317(f317(x87411,x87412),x87413))+~P1(f317(f317(x87411,f317(f317(f30(a1),x87414),x87415)),f40(a1,x87414,x87415)))+~P1(f317(f317(f225(a1),x87415),f2(a1)))+~P1(f317(f317(f224(a1),x87413),f2(a1)))+~E(x87414,f317(f317(f74(a1),f317(f317(f75(a1),x87415),x87412)),x87413))+~P1(f317(f317(f225(a1),x87415),x87413)) % 169.26/169.10 [8750]P1(f317(f317(x87501,x87502),x87503))+~P1(f317(f317(x87501,f317(f317(f30(a1),x87504),x87505)),f40(a1,x87504,x87505)))+~E(x87504,f317(f317(f74(a1),f317(f317(f75(a1),x87505),x87502)),x87503))+~P1(f317(f317(f224(a1),f2(a1)),x87503))+~P1(f317(f317(f225(a1),f2(a1)),x87505))+~P1(f317(f317(f225(a1),x87503),x87505)) % 169.26/169.10 [9011]E(x90111,x90112)+~P58(x90113,x90115,x90114)+~P1(f317(f317(f319(x90113),x90112),x90115))+~P1(f317(f317(f319(x90113),x90111),x90115))+P1(f317(f317(f319(f905(x90113,x90113)),f317(f317(f242(x90113,x90113),x90111),x90112)),x90114))+P1(f317(f317(f319(f905(x90113,x90113)),f317(f317(f242(x90113,x90113),x90112),x90111)),x90114)) % 169.26/169.10 [9888]~P76(x98885)+~P88(x98885)+~P1(f317(f28(x98881),x98884))+P1(f317(f317(f224(x98885),f317(f317(f6(x98881,x98885),x98882),x98883)),f317(f317(f6(x98881,x98885),x98882),x98884)))+~P1(f317(f317(f224(f906(x98881,a894)),x98883),x98884))+P1(f317(f317(f319(x98881),f420(x98882,x98883,x98884,x98881,x98885)),f317(f317(f23(f906(x98881,a894)),x98884),x98883))) % 169.26/169.10 [9978]E(x99781,f178(f906(x99782,a894)))+~P1(f317(f28(x99782),x99783))+~P1(f317(f28(x99782),x99781))+P1(f317(f317(f319(f905(f906(x99782,a894),f906(x99782,a894))),f317(f317(f242(f906(x99782,a894),f906(x99782,a894)),x99783),x99781)),f308(x99782,x99784)))+~P1(f317(f317(f319(x99782),x99785),x99781))+~P1(f317(f317(f319(f905(x99782,x99782)),f317(f317(f242(x99782,x99782),f465(x99784,x99781,x99783,x99782)),x99785)),x99784)) % 169.26/169.10 [9979]E(x99791,f178(f906(x99792,a894)))+~P1(f317(f28(x99792),x99793))+~P1(f317(f28(x99792),x99791))+P1(f317(f317(f319(f905(f906(x99792,a894),f906(x99792,a894))),f317(f317(f242(f906(x99792,a894),f906(x99792,a894)),x99793),x99791)),f308(x99792,x99794)))+~P1(f317(f317(f319(x99792),x99795),x99791))+~P1(f317(f317(f319(f905(x99792,x99792)),f317(f317(f242(x99792,x99792),f544(x99794,x99791,x99793,x99792)),x99795)),x99794)) % 169.26/169.10 [10143]~P81(x101431)+~E(f317(f317(f6(x101435,x101431),x101432),x101436),x101434)+~P1(f317(f28(x101435),x101436))+P1(f317(f317(f319(x101435),f421(x101433,x101434,x101432,x101436,x101435,x101431)),x101436))+P1(f317(f317(f224(x101431),f317(x101432,x101433)),x101434))+~P1(f317(f317(f319(x101435),x101433),x101436)) % 169.26/169.10 [10191]~P81(x101911)+~E(f317(f317(f6(x101915,x101911),x101912),x101916),x101914)+~P1(f317(f28(x101915),x101916))+~P1(f317(f317(f319(x101915),x101913),x101916))+~P1(f317(f317(f224(x101911),f2(x101911)),f317(x101912,f421(x101913,x101914,x101912,x101916,x101915,x101911))))+P1(f317(f317(f224(x101911),f317(x101912,x101913)),x101914)) % 169.26/169.10 [10333]~E(x103335,x103338)+~E(x103334,x103337)+~P3(x103331)+~P76(x103332)+E(f317(f317(f6(x103331,x103332),x103333),f317(f292(x103331,x103334),x103335)),f317(f317(f6(x103331,x103332),x103336),f317(f292(x103331,x103337),x103338)))+P1(f317(f317(f224(x103331),x103334),f553(x103333,x103336,x103335,x103338,x103334,x103337,x103331,x103332))) % 169.26/169.10 [10349]~E(x103497,x103494)+~E(x103498,x103495)+~P3(x103491)+~P76(x103492)+~E(f317(x103493,f553(x103496,x103493,x103498,x103495,x103497,x103494,x103491,x103492)),f317(x103496,f553(x103496,x103493,x103498,x103495,x103497,x103494,x103491,x103492)))+E(f317(f317(f6(x103491,x103492),x103493),f317(f292(x103491,x103494),x103495)),f317(f317(f6(x103491,x103492),x103496),f317(f292(x103491,x103497),x103498))) % 169.26/169.10 [10352]~E(x103524,x103527)+~E(x103525,x103528)+~P3(x103521)+~P76(x103522)+E(f317(f317(f6(x103521,x103522),x103523),f317(f292(x103521,x103524),x103525)),f317(f317(f6(x103521,x103522),x103526),f317(f292(x103521,x103527),x103528)))+P1(f317(f317(f225(x103521),f553(x103523,x103526,x103525,x103528,x103524,x103527,x103521,x103522)),x103525)) % 169.26/169.10 [9985]~P11(x99855,x99859,x99856)+~P11(x99851,x998510,x99853)+~P15(x99851,x99855,f906(x99852,a894),x99853,x99856,x99858)+~P1(f317(f317(f319(x99855),x99857),x99859))+~P1(f317(f317(f319(x99851),x99854),x998510))+E(f317(f317(f34(x99851,f906(x99852,a894)),f317(f275(x99851,x99851,x99853),f317(f317(f299(x99851),x99854),f178(f906(x99851,a894))))),f317(f317(f8(f906(x99855,f906(x99852,a894)),f906(x99852,a894),x99851),f317(f34(x99855,f906(x99852,a894)),f317(f275(x99855,x99855,x99856),f317(f317(f299(x99855),x99857),f178(f906(x99855,a894)))))),x99858)),f317(f317(x99858,x99854),x99857)) % 169.26/169.10 [5665]~P4(x56653)+~P16(x56653,x56652)+~P16(x56653,x56651)+E(x56651,x56652)+~E(f317(f162(x56653),x56651),f317(f162(x56653),x56652))+~P1(f317(f127(x56653),x56652))+~P1(f317(f127(x56653),x56651)) % 169.26/169.10 [4992]~P127(x49922)+~P133(x49922)+~P134(x49922)+~P115(x49922)+~E(x49923,f2(x49922))+E(x49921,f2(a897))+E(f317(f317(f234(x49922),x49923),x49921),f2(x49922)) % 169.26/169.10 [9267]E(x92671,f2(a897))+~E(x92672,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x92673)),x92671)),f317(f246(a897,a897),x92673)))+P1(f317(f43(x92672,x92671),x92673))+~P1(f317(f317(f224(a897),f317(f246(a897,a897),x92673)),f2(a897)))+~P1(f317(f317(f224(a897),f2(a897)),f317(f246(a897,a897),x92673)))+~P1(f317(f317(f225(a897),x92671),f317(f246(a897,a897),x92673)))+~P1(f317(f317(f225(a897),f317(f246(a897,a897),x92673)),x92671)) % 169.26/169.10 [9275]~E(f317(f241(a897,a897),x92753),f2(a897))+~E(x92751,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),x92753)),x92752)),f317(f246(a897,a897),x92753)))+P1(f317(f43(x92751,x92752),x92753))+~P1(f317(f317(f224(a897),f317(f246(a897,a897),x92753)),f2(a897)))+~P1(f317(f317(f224(a897),f2(a897)),f317(f246(a897,a897),x92753)))+~P1(f317(f317(f225(a897),x92752),f317(f246(a897,a897),x92753)))+~P1(f317(f317(f225(a897),f317(f246(a897,a897),x92753)),x92752)) % 169.26/169.10 [8118]~P74(x81182)+E(x81181,f178(f906(x81182,a894)))+E(x81183,f178(f906(x81182,a894)))+~P1(f317(f28(x81182),x81181))+~P1(f317(f28(x81182),x81183))+~E(f317(f317(f92(f906(x81182,a894)),x81183),x81181),f178(f906(x81182,a894)))+E(f317(f317(f75(x81182),f317(f57(x81182,f75(x81182)),x81183)),f317(f57(x81182,f75(x81182)),x81181)),f317(f57(x81182,f75(x81182)),f317(f317(f91(f906(x81182,a894)),x81183),x81181))) % 169.26/169.10 [7903]E(x79031,f2(a1))+E(f317(f317(f30(a1),x79032),x79031),x79033)+~P1(f317(f317(f224(a1),x79034),f2(a1)))+~E(x79032,f317(f317(f74(a1),f317(f317(f75(a1),x79031),x79033)),x79034))+~P1(f317(f317(f224(a1),f2(a1)),x79034))+~P1(f317(f317(f225(a1),x79034),x79031))+~P1(f317(f317(f225(a1),x79031),x79034)) % 169.26/169.10 [7911]E(f40(a1,x79112,x79111),x79113)+E(x79111,f2(a1))+~P1(f317(f317(f224(a1),x79113),f2(a1)))+~E(x79112,f317(f317(f74(a1),f317(f317(f75(a1),x79111),x79114)),x79113))+~P1(f317(f317(f224(a1),f2(a1)),x79113))+~P1(f317(f317(f225(a1),x79113),x79111))+~P1(f317(f317(f225(a1),x79111),x79113)) % 169.26/169.10 [6953]~P6(x69532)+E(x69531,f2(x69532))+E(x69533,f2(x69532))+~E(f317(f317(f30(x69532),x69534),x69533),f317(f317(f30(x69532),x69535),x69531))+E(f317(f317(f75(x69532),x69534),x69531),f317(f317(f75(x69532),x69533),x69535))+~P1(f317(f317(f277(x69532),x69531),x69535))+~P1(f317(f317(f277(x69532),x69533),x69534)) % 169.26/169.10 [6954]~P6(x69542)+E(x69541,f2(x69542))+E(x69543,f2(x69542))+~E(f317(f317(f75(x69542),x69544),x69543),f317(f317(f75(x69542),x69541),x69545))+E(f317(f317(f30(x69542),x69544),x69541),f317(f317(f30(x69542),x69545),x69543))+~P1(f317(f317(f277(x69542),x69541),x69544))+~P1(f317(f317(f277(x69542),x69543),x69545)) % 169.26/169.10 [7817]~P21(x78172,x78175,x78174)+E(x78171,f178(f906(x78172,a894)))+E(x78173,f178(f906(x78172,a894)))+~P1(f317(f28(x78172),x78171))+~P1(f317(f28(x78172),x78173))+~E(f317(f317(f92(f906(x78172,a894)),x78173),x78171),f178(f906(x78172,a894)))+E(f317(x78174,f317(f317(f91(f906(x78172,a894)),x78173),x78171)),f317(f317(x78175,f317(x78174,x78173)),f317(x78174,x78171))) % 169.26/169.10 [9519]~P27(x95193,x95191,x95195,x95194)+~P27(x95191,x95193,x95196,x95192)+E(f317(f29(x95191),x95192),f317(f29(x95193),x95194))+~P1(f317(f28(x95193),x95194))+~P1(f317(f28(x95191),x95192))+~P1(f317(f317(f224(f906(x95193,a894)),f317(f300(x95191,x95193,x95196),x95192)),x95194))+~P1(f317(f317(f224(f906(x95191,a894)),f317(f300(x95193,x95191,x95195),x95194)),x95192)) % 169.26/169.10 [9461]~P1(f317(f317(f225(a1),f317(f317(f74(a1),f317(f317(f75(a1),x94615),x94611)),x94616)),f2(a1)))+~E(f317(f317(f74(a1),f317(f317(f75(a1),x94613),x94612)),x94614),f317(f317(f74(a1),f317(f317(f75(a1),x94615),x94611)),x94616))+~P1(f317(f317(f224(a1),f2(a1)),x94616))+~P1(f317(f317(f225(a1),f2(a1)),x94615))+~P1(f317(f317(f224(a1),x94615),x94613))+~P1(f317(f317(f225(a1),x94614),x94613))+P1(f317(f317(f224(a1),x94611),x94612)) % 169.26/169.10 [9218]~E(f317(f317(f74(a1),f317(f317(f75(a1),x92183),x92181)),x92184),f317(f317(f74(a1),f317(f317(f75(a1),x92185),x92182)),x92186))+~P1(f317(f317(f224(a1),f2(a1)),x92184))+~P1(f317(f317(f225(a1),f2(a1)),x92185))+~P1(f317(f317(f224(a1),x92185),x92183))+~P1(f317(f317(f225(a1),x92186),x92185))+P1(f317(f317(f224(a1),x92181),x92182))+~P1(f317(f317(f224(a1),f2(a1)),f317(f317(f74(a1),f317(f317(f75(a1),x92185),x92182)),x92186))) % 169.26/169.10 [9401]~P131(x94011)+~E(f317(f317(f74(x94011),x94012),x94014),f72(x94011))+~P1(f317(f317(f224(x94011),x94015),x94016))+~P1(f317(f317(f224(x94011),x94013),x94016))+~P1(f317(f317(f224(x94011),f2(x94011)),x94014))+~P1(f317(f317(f224(x94011),f2(x94011)),x94012))+P1(f317(f317(f224(x94011),f317(f317(f74(x94011),f317(f317(f75(x94011),x94012),x94013)),f317(f317(f75(x94011),x94014),x94015))),x94016)) % 169.26/169.10 [9402]~P129(x94021)+~E(f317(f317(f74(x94021),x94022),x94024),f72(x94021))+~P1(f317(f317(f224(x94021),f2(x94021)),x94024))+~P1(f317(f317(f224(x94021),f2(x94021)),x94022))+~P1(f317(f317(f225(x94021),x94025),x94026))+~P1(f317(f317(f225(x94021),x94023),x94026))+P1(f317(f317(f225(x94021),f317(f317(f74(x94021),f317(f317(f75(x94021),x94022),x94023)),f317(f317(f75(x94021),x94024),x94025))),x94026)) % 169.26/169.10 [10238]~P11(x102387,x102386,x102385)+E(x102381,x102382)+~P14(x102387,f906(x102384,a894),x102385,x102383)+E(f317(x102383,f447(x102381,x102382,x102383,x102384,x102385,x102386,x102387)),f317(x102383,f448(x102381,x102382,x102383,x102384,x102385,x102386,x102387)))+~E(f317(f317(f34(x102387,f906(x102384,a894)),x102381),x102383),f317(f317(f34(x102387,f906(x102384,a894)),x102382),x102383))+~P1(f317(f317(f319(f906(x102387,a894)),x102382),f317(f317(f55(x102387),x102386),x102385)))+~P1(f317(f317(f319(f906(x102387,a894)),x102381),f317(f317(f55(x102387),x102386),x102385))) % 169.26/169.10 [10289]~P11(x102893,x102897,x102896)+E(x102891,x102892)+~P14(x102893,f906(x102895,a894),x102896,x102894)+~E(f317(f317(f34(x102893,f906(x102895,a894)),x102891),x102894),f317(f317(f34(x102893,f906(x102895,a894)),x102892),x102894))+P1(f317(f317(f319(x102893),f448(x102891,x102892,x102894,x102895,x102896,x102897,x102893)),x102897))+~P1(f317(f317(f319(f906(x102893,a894)),x102892),f317(f317(f55(x102893),x102897),x102896)))+~P1(f317(f317(f319(f906(x102893,a894)),x102891),f317(f317(f55(x102893),x102897),x102896))) % 169.26/169.10 [10290]~P11(x102903,x102907,x102906)+E(x102901,x102902)+~P14(x102903,f906(x102905,a894),x102906,x102904)+~E(f317(f317(f34(x102903,f906(x102905,a894)),x102901),x102904),f317(f317(f34(x102903,f906(x102905,a894)),x102902),x102904))+P1(f317(f317(f319(x102903),f447(x102901,x102902,x102904,x102905,x102906,x102907,x102903)),x102907))+~P1(f317(f317(f319(f906(x102903,a894)),x102902),f317(f317(f55(x102903),x102907),x102906)))+~P1(f317(f317(f319(f906(x102903,a894)),x102901),f317(f317(f55(x102903),x102907),x102906))) % 169.26/169.10 [10368]E(x103681,x103682)+~P11(x103683,x103686,x103687)+~P14(x103683,f906(x103684,a894),x103687,x103685)+~E(f317(f317(f34(x103683,f906(x103684,a894)),x103681),x103685),f317(f317(f34(x103683,f906(x103684,a894)),x103682),x103685))+~P1(f317(f317(f319(f905(x103683,x103683)),f317(f317(f242(x103683,x103683),f448(x103681,x103682,x103685,x103684,x103687,x103686,x103683)),f447(x103681,x103682,x103685,x103684,x103687,x103686,x103683))),x103687))+~P1(f317(f317(f319(f906(x103683,a894)),x103682),f317(f317(f55(x103683),x103686),x103687)))+~P1(f317(f317(f319(f906(x103683,a894)),x103681),f317(f317(f55(x103683),x103686),x103687))) % 169.26/169.10 [9217]~P11(x92171,x92177,x92174)+~E(x92175,x92176)+~P1(f317(f317(f319(x92171),x92173),x92176))+~P1(f317(f317(f319(x92171),x92172),x92175))+~P1(f317(f317(f319(f906(x92171,a894)),x92176),f317(f317(f55(x92171),x92177),x92174)))+~P1(f317(f317(f319(f906(x92171,a894)),x92175),f317(f317(f55(x92171),x92177),x92174)))+P1(f317(f317(f319(f905(x92171,x92171)),f317(f317(f242(x92171,x92171),x92172),x92173)),x92174)) % 169.26/169.10 [9356]E(x93561,x93562)+~P11(x93563,x93564,x93565)+~P1(f317(f317(f319(x93563),x93566),x93562))+~P1(f317(f317(f319(x93563),x93567),x93561))+~P1(f317(f317(f319(f906(x93563,a894)),x93562),f317(f317(f55(x93563),x93564),x93565)))+~P1(f317(f317(f319(f906(x93563,a894)),x93561),f317(f317(f55(x93563),x93564),x93565)))+~P1(f317(f317(f319(f905(x93563,x93563)),f317(f317(f242(x93563,x93563),x93567),x93566)),x93565)) % 169.26/169.10 [10395]~P11(x103959,x103958,x103957)+~P11(x103951,x1039511,x1039510)+~P15(x103951,x103959,f906(x103956,a894),x1039510,x103957,x103955)+P1(f317(f317(f319(x103951),f450(x103952,x103953,x103954,x103955,x103956,x103957,x103958,x103959,x1039510,x1039511,x103951)),x1039511))+~P1(f317(f317(f319(f906(x103959,a894)),x103953),f317(f317(f55(x103959),x103958),x103957)))+~P1(f317(f317(f319(f906(x103951,a894)),x103954),f317(f317(f55(x103951),x1039511),x1039510)))+P1(f317(f317(f319(f906(x103956,a894)),f317(f317(f34(x103951,f906(x103956,a894)),x103954),f317(f317(f8(f906(x103959,f906(x103956,a894)),f906(x103956,a894),x103951),f317(f34(x103959,f906(x103956,a894)),x103953)),x103955))),x103952)) % 169.26/169.10 [10396]~P11(x1039611,x1039610,x103969)+~P11(x103961,x103968,x103967)+~P15(x1039611,x103961,f906(x103966,a894),x103969,x103967,x103965)+P1(f317(f317(f319(x103961),f451(x103962,x103963,x103964,x103965,x103966,x103967,x103968,x103961,x103969,x1039610,x1039611)),x103968))+~P1(f317(f317(f319(f906(x1039611,a894)),x103964),f317(f317(f55(x1039611),x1039610),x103969)))+~P1(f317(f317(f319(f906(x103961,a894)),x103963),f317(f317(f55(x103961),x103968),x103967)))+P1(f317(f317(f319(f906(x103966,a894)),f317(f317(f34(x1039611,f906(x103966,a894)),x103964),f317(f317(f8(f906(x103961,f906(x103966,a894)),f906(x103966,a894),x1039611),f317(f34(x103961,f906(x103966,a894)),x103963)),x103965))),x103962)) % 169.26/169.10 [10397]~P11(x103972,x103978,x103979)+~P11(x103974,x1039710,x1039711)+~P15(x103972,x103974,f906(x103971,a894),x103979,x1039711,x103976)+~P1(f317(f317(f319(f906(x103972,a894)),x103973),f317(f317(f55(x103972),x103978),x103979)))+~P1(f317(f317(f319(f906(x103974,a894)),x103975),f317(f317(f55(x103974),x1039710),x1039711)))+~P1(f317(f317(f319(f906(x103971,a894)),f317(f317(x103976,f450(x103977,x103975,x103973,x103976,x103971,x1039711,x1039710,x103974,x103979,x103978,x103972)),f451(x103977,x103975,x103973,x103976,x103971,x1039711,x1039710,x103974,x103979,x103978,x103972))),x103977))+P1(f317(f317(f319(f906(x103971,a894)),f317(f317(f34(x103972,f906(x103971,a894)),x103973),f317(f317(f8(f906(x103974,f906(x103971,a894)),f906(x103971,a894),x103972),f317(f34(x103974,f906(x103971,a894)),x103975)),x103976))),x103977)) % 169.26/169.10 [9253]E(x92531,x92532)+~P4(x92534)+~P27(x92533,x92534,x92535,f317(f317(f91(f906(x92533,a894)),f317(f162(x92533),x92531)),f317(f162(x92533),x92532)))+~E(f317(f162(x92533),x92531),f317(f162(x92533),x92532))+~P16(x92534,f317(f317(f144(x92533,x92534),x92535),x92532))+~P16(x92534,f317(f317(f144(x92533,x92534),x92535),x92531))+~P1(f317(f127(x92534),f317(f317(f144(x92533,x92534),x92535),x92532)))+~P1(f317(f127(x92534),f317(f317(f144(x92533,x92534),x92535),x92531))) % 169.26/169.10 %EqnAxiom % 169.26/169.10 [1]E(x11,x11) % 169.26/169.10 [2]E(x22,x21)+~E(x21,x22) % 169.26/169.10 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 169.26/169.10 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 169.26/169.10 [5]~E(x51,x52)+E(f90(x51),f90(x52)) % 169.26/169.10 [6]~E(x61,x62)+E(f23(x61),f23(x62)) % 169.26/169.10 [7]~E(x71,x72)+E(f178(x71),f178(x72)) % 169.26/169.10 [8]~E(x81,x82)+E(f317(x81,x83),f317(x82,x83)) % 169.26/169.10 [9]~E(x91,x92)+E(f317(x93,x91),f317(x93,x92)) % 169.26/169.10 [10]~E(x101,x102)+E(f223(x101),f223(x102)) % 169.26/169.10 [11]~E(x111,x112)+E(f91(x111),f91(x112)) % 169.26/169.10 [12]~E(x121,x122)+E(f228(x121),f228(x122)) % 169.26/169.10 [13]~E(x131,x132)+E(f92(x131),f92(x132)) % 169.26/169.10 [14]~E(x141,x142)+E(f93(x141),f93(x142)) % 169.26/169.10 [15]~E(x151,x152)+E(f25(x151),f25(x152)) % 169.26/169.10 [16]~E(x161,x162)+E(f78(x161),f78(x162)) % 169.26/169.10 [17]~E(x171,x172)+E(f906(x171,x173),f906(x172,x173)) % 169.26/169.10 [18]~E(x181,x182)+E(f906(x183,x181),f906(x183,x182)) % 169.26/169.10 [19]~E(x191,x192)+E(f28(x191),f28(x192)) % 169.26/169.10 [20]~E(x201,x202)+E(f18(x201,x203,x204),f18(x202,x203,x204)) % 169.26/169.10 [21]~E(x211,x212)+E(f18(x213,x211,x214),f18(x213,x212,x214)) % 169.26/169.10 [22]~E(x221,x222)+E(f18(x223,x224,x221),f18(x223,x224,x222)) % 169.26/169.10 [23]~E(x231,x232)+E(f72(x231),f72(x232)) % 169.26/169.10 [24]~E(x241,x242)+E(f451(x241,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f451(x242,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412)) % 169.26/169.10 [25]~E(x251,x252)+E(f451(x253,x251,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512),f451(x253,x252,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512)) % 169.26/169.10 [26]~E(x261,x262)+E(f451(x263,x264,x261,x265,x266,x267,x268,x269,x2610,x2611,x2612),f451(x263,x264,x262,x265,x266,x267,x268,x269,x2610,x2611,x2612)) % 169.26/169.10 [27]~E(x271,x272)+E(f451(x273,x274,x275,x271,x276,x277,x278,x279,x2710,x2711,x2712),f451(x273,x274,x275,x272,x276,x277,x278,x279,x2710,x2711,x2712)) % 169.26/169.10 [28]~E(x281,x282)+E(f451(x283,x284,x285,x286,x281,x287,x288,x289,x2810,x2811,x2812),f451(x283,x284,x285,x286,x282,x287,x288,x289,x2810,x2811,x2812)) % 169.26/169.10 [29]~E(x291,x292)+E(f451(x293,x294,x295,x296,x297,x291,x298,x299,x2910,x2911,x2912),f451(x293,x294,x295,x296,x297,x292,x298,x299,x2910,x2911,x2912)) % 169.26/169.10 [30]~E(x301,x302)+E(f451(x303,x304,x305,x306,x307,x308,x301,x309,x3010,x3011,x3012),f451(x303,x304,x305,x306,x307,x308,x302,x309,x3010,x3011,x3012)) % 169.26/169.10 [31]~E(x311,x312)+E(f451(x313,x314,x315,x316,x317,x318,x319,x311,x3110,x3111,x3112),f451(x313,x314,x315,x316,x317,x318,x319,x312,x3110,x3111,x3112)) % 169.26/169.10 [32]~E(x321,x322)+E(f451(x323,x324,x325,x326,x327,x328,x329,x3210,x321,x3211,x3212),f451(x323,x324,x325,x326,x327,x328,x329,x3210,x322,x3211,x3212)) % 169.26/169.10 [33]~E(x331,x332)+E(f451(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x331,x3312),f451(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x332,x3312)) % 169.26/169.10 [34]~E(x341,x342)+E(f451(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x341),f451(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x342)) % 169.26/169.10 [35]~E(x351,x352)+E(f898(x351),f898(x352)) % 169.26/169.10 [36]~E(x361,x362)+E(f4(x361),f4(x362)) % 169.26/169.10 [37]~E(x371,x372)+E(f450(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f450(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712)) % 169.26/169.10 [38]~E(x381,x382)+E(f450(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f450(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812)) % 169.26/169.10 [39]~E(x391,x392)+E(f450(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f450(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912)) % 169.26/169.10 [40]~E(x401,x402)+E(f450(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f450(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012)) % 169.26/169.10 [41]~E(x411,x412)+E(f450(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f450(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112)) % 169.26/169.10 [42]~E(x421,x422)+E(f450(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f450(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212)) % 169.26/169.10 [43]~E(x431,x432)+E(f450(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f450(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312)) % 169.26/169.10 [44]~E(x441,x442)+E(f450(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f450(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412)) % 169.26/169.10 [45]~E(x451,x452)+E(f450(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f450(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512)) % 169.26/169.10 [46]~E(x461,x462)+E(f450(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f450(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612)) % 169.26/169.10 [47]~E(x471,x472)+E(f450(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f450(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472)) % 169.26/169.10 [48]~E(x481,x482)+E(f319(x481),f319(x482)) % 169.26/169.10 [49]~E(x491,x492)+E(f101(x491),f101(x492)) % 169.26/169.10 [50]~E(x501,x502)+E(f242(x501,x503),f242(x502,x503)) % 169.26/169.10 [51]~E(x511,x512)+E(f242(x513,x511),f242(x513,x512)) % 169.26/169.10 [52]~E(x521,x522)+E(f901(x521),f901(x522)) % 169.26/169.10 [53]~E(x531,x532)+E(f150(x531,x533),f150(x532,x533)) % 169.26/169.10 [54]~E(x541,x542)+E(f150(x543,x541),f150(x543,x542)) % 169.26/169.10 [55]~E(x551,x552)+E(f899(x551),f899(x552)) % 169.26/169.10 [56]~E(x561,x562)+E(f73(x561),f73(x562)) % 169.26/169.10 [57]~E(x571,x572)+E(f252(x571),f252(x572)) % 169.26/169.10 [58]~E(x581,x582)+E(f94(x581),f94(x582)) % 169.26/169.10 [59]~E(x591,x592)+E(f154(x591),f154(x592)) % 169.26/169.10 [60]~E(x601,x602)+E(f179(x601),f179(x602)) % 169.26/169.10 [61]~E(x611,x612)+E(f279(x611,x613,x614),f279(x612,x613,x614)) % 169.26/169.10 [62]~E(x621,x622)+E(f279(x623,x621,x624),f279(x623,x622,x624)) % 169.26/169.10 [63]~E(x631,x632)+E(f279(x633,x634,x631),f279(x633,x634,x632)) % 169.26/169.10 [64]~E(x641,x642)+E(f225(x641),f225(x642)) % 169.26/169.10 [65]~E(x651,x652)+E(f297(x651,x653),f297(x652,x653)) % 169.26/169.10 [66]~E(x661,x662)+E(f297(x663,x661),f297(x663,x662)) % 169.26/169.10 [67]~E(x671,x672)+E(f265(x671,x673),f265(x672,x673)) % 169.26/169.10 [68]~E(x681,x682)+E(f265(x683,x681),f265(x683,x682)) % 169.26/169.10 [69]~E(x691,x692)+E(f300(x691,x693,x694),f300(x692,x693,x694)) % 169.26/169.10 [70]~E(x701,x702)+E(f300(x703,x701,x704),f300(x703,x702,x704)) % 169.26/169.10 [71]~E(x711,x712)+E(f300(x713,x714,x711),f300(x713,x714,x712)) % 169.26/169.10 [72]~E(x721,x722)+E(f32(x721,x723),f32(x722,x723)) % 169.26/169.10 [73]~E(x731,x732)+E(f32(x733,x731),f32(x733,x732)) % 169.26/169.10 [74]~E(x741,x742)+E(f31(x741,x743),f31(x742,x743)) % 169.26/169.10 [75]~E(x751,x752)+E(f31(x753,x751),f31(x753,x752)) % 169.26/169.10 [76]~E(x761,x762)+E(f75(x761),f75(x762)) % 169.26/169.10 [77]~E(x771,x772)+E(f224(x771),f224(x772)) % 169.26/169.10 [78]~E(x781,x782)+E(f905(x781,x783),f905(x782,x783)) % 169.26/169.10 [79]~E(x791,x792)+E(f905(x793,x791),f905(x793,x792)) % 169.26/169.10 [80]~E(x801,x802)+E(f8(x801,x803,x804),f8(x802,x803,x804)) % 169.26/169.10 [81]~E(x811,x812)+E(f8(x813,x811,x814),f8(x813,x812,x814)) % 169.26/169.10 [82]~E(x821,x822)+E(f8(x823,x824,x821),f8(x823,x824,x822)) % 169.26/169.10 [83]~E(x831,x832)+E(f273(x831),f273(x832)) % 169.26/169.10 [84]~E(x841,x842)+E(f158(x841),f158(x842)) % 169.26/169.10 [85]~E(x851,x852)+E(f55(x851),f55(x852)) % 169.26/169.10 [86]~E(x861,x862)+E(f7(x861,x863,x864),f7(x862,x863,x864)) % 169.26/169.10 [87]~E(x871,x872)+E(f7(x873,x871,x874),f7(x873,x872,x874)) % 169.26/169.10 [88]~E(x881,x882)+E(f7(x883,x884,x881),f7(x883,x884,x882)) % 169.26/169.10 [89]~E(x891,x892)+E(f244(x891,x893),f244(x892,x893)) % 169.26/169.10 [90]~E(x901,x902)+E(f244(x903,x901),f244(x903,x902)) % 169.26/169.10 [91]~E(x911,x912)+E(f859(x911,x913,x914),f859(x912,x913,x914)) % 169.26/169.10 [92]~E(x921,x922)+E(f859(x923,x921,x924),f859(x923,x922,x924)) % 169.26/169.10 [93]~E(x931,x932)+E(f859(x933,x934,x931),f859(x933,x934,x932)) % 169.26/169.10 [94]~E(x941,x942)+E(f162(x941),f162(x942)) % 169.26/169.10 [95]~E(x951,x952)+E(f58(x951,x953,x954),f58(x952,x953,x954)) % 169.26/169.10 [96]~E(x961,x962)+E(f58(x963,x961,x964),f58(x963,x962,x964)) % 169.26/169.10 [97]~E(x971,x972)+E(f58(x973,x974,x971),f58(x973,x974,x972)) % 169.26/169.10 [98]~E(x981,x982)+E(f241(x981,x983),f241(x982,x983)) % 169.26/169.10 [99]~E(x991,x992)+E(f241(x993,x991),f241(x993,x992)) % 169.26/169.10 [100]~E(x1001,x1002)+E(f520(x1001,x1003,x1004),f520(x1002,x1003,x1004)) % 169.26/169.10 [101]~E(x1011,x1012)+E(f520(x1013,x1011,x1014),f520(x1013,x1012,x1014)) % 169.26/169.10 [102]~E(x1021,x1022)+E(f520(x1023,x1024,x1021),f520(x1023,x1024,x1022)) % 169.26/169.10 [103]~E(x1031,x1032)+E(f232(x1031),f232(x1032)) % 169.26/169.10 [104]~E(x1041,x1042)+E(f281(x1041),f281(x1042)) % 169.26/169.10 [105]~E(x1051,x1052)+E(f30(x1051),f30(x1052)) % 169.26/169.10 [106]~E(x1061,x1062)+E(f571(x1061,x1063,x1064,x1065,x1066),f571(x1062,x1063,x1064,x1065,x1066)) % 169.26/169.10 [107]~E(x1071,x1072)+E(f571(x1073,x1071,x1074,x1075,x1076),f571(x1073,x1072,x1074,x1075,x1076)) % 169.26/169.10 [108]~E(x1081,x1082)+E(f571(x1083,x1084,x1081,x1085,x1086),f571(x1083,x1084,x1082,x1085,x1086)) % 169.26/169.10 [109]~E(x1091,x1092)+E(f571(x1093,x1094,x1095,x1091,x1096),f571(x1093,x1094,x1095,x1092,x1096)) % 169.26/169.10 [110]~E(x1101,x1102)+E(f571(x1103,x1104,x1105,x1106,x1101),f571(x1103,x1104,x1105,x1106,x1102)) % 169.26/169.10 [111]~E(x1111,x1112)+E(f13(x1111,x1113),f13(x1112,x1113)) % 169.26/169.10 [112]~E(x1121,x1122)+E(f13(x1123,x1121),f13(x1123,x1122)) % 169.26/169.10 [113]~E(x1131,x1132)+E(f296(x1131,x1133,x1134),f296(x1132,x1133,x1134)) % 169.26/169.10 [114]~E(x1141,x1142)+E(f296(x1143,x1141,x1144),f296(x1143,x1142,x1144)) % 169.26/169.10 [115]~E(x1151,x1152)+E(f296(x1153,x1154,x1151),f296(x1153,x1154,x1152)) % 169.26/169.10 [116]~E(x1161,x1162)+E(f631(x1161,x1163,x1164,x1165),f631(x1162,x1163,x1164,x1165)) % 169.26/169.10 [117]~E(x1171,x1172)+E(f631(x1173,x1171,x1174,x1175),f631(x1173,x1172,x1174,x1175)) % 169.26/169.10 [118]~E(x1181,x1182)+E(f631(x1183,x1184,x1181,x1185),f631(x1183,x1184,x1182,x1185)) % 169.26/169.10 [119]~E(x1191,x1192)+E(f631(x1193,x1194,x1195,x1191),f631(x1193,x1194,x1195,x1192)) % 169.26/169.10 [120]~E(x1201,x1202)+E(f14(x1201,x1203),f14(x1202,x1203)) % 169.26/169.10 [121]~E(x1211,x1212)+E(f14(x1213,x1211),f14(x1213,x1212)) % 169.26/169.10 [122]~E(x1221,x1222)+E(f74(x1221),f74(x1222)) % 169.26/169.10 [123]~E(x1231,x1232)+E(f360(x1231,x1233,x1234,x1235),f360(x1232,x1233,x1234,x1235)) % 169.26/169.10 [124]~E(x1241,x1242)+E(f360(x1243,x1241,x1244,x1245),f360(x1243,x1242,x1244,x1245)) % 169.26/169.10 [125]~E(x1251,x1252)+E(f360(x1253,x1254,x1251,x1255),f360(x1253,x1254,x1252,x1255)) % 169.26/169.10 [126]~E(x1261,x1262)+E(f360(x1263,x1264,x1265,x1261),f360(x1263,x1264,x1265,x1262)) % 169.26/169.10 [127]~E(x1271,x1272)+E(f76(x1271,x1273),f76(x1272,x1273)) % 169.26/169.10 [128]~E(x1281,x1282)+E(f76(x1283,x1281),f76(x1283,x1282)) % 169.26/169.10 [129]~E(x1291,x1292)+E(f433(x1291),f433(x1292)) % 169.26/169.10 [130]~E(x1301,x1302)+E(f904(x1301,x1303),f904(x1302,x1303)) % 169.26/169.10 [131]~E(x1311,x1312)+E(f904(x1313,x1311),f904(x1313,x1312)) % 169.26/169.10 [132]~E(x1321,x1322)+E(f835(x1321,x1323,x1324),f835(x1322,x1323,x1324)) % 169.26/169.10 [133]~E(x1331,x1332)+E(f835(x1333,x1331,x1334),f835(x1333,x1332,x1334)) % 169.26/169.10 [134]~E(x1341,x1342)+E(f835(x1343,x1344,x1341),f835(x1343,x1344,x1342)) % 169.26/169.10 [135]~E(x1351,x1352)+E(f127(x1351),f127(x1352)) % 169.26/169.10 [136]~E(x1361,x1362)+E(f40(x1361,x1363,x1364),f40(x1362,x1363,x1364)) % 169.26/169.10 [137]~E(x1371,x1372)+E(f40(x1373,x1371,x1374),f40(x1373,x1372,x1374)) % 169.26/169.10 [138]~E(x1381,x1382)+E(f40(x1383,x1384,x1381),f40(x1383,x1384,x1382)) % 169.26/169.10 [139]~E(x1391,x1392)+E(f96(x1391),f96(x1392)) % 169.26/169.10 [140]~E(x1401,x1402)+E(f97(x1401),f97(x1402)) % 169.26/169.10 [141]~E(x1411,x1412)+E(f318(x1411),f318(x1412)) % 169.26/169.10 [142]~E(x1421,x1422)+E(f124(x1421),f124(x1422)) % 169.26/169.10 [143]~E(x1431,x1432)+E(f515(x1431),f515(x1432)) % 169.26/169.10 [144]~E(x1441,x1442)+E(f482(x1441,x1443,x1444,x1445,x1446,x1447,x1448,x1449),f482(x1442,x1443,x1444,x1445,x1446,x1447,x1448,x1449)) % 169.26/169.10 [145]~E(x1451,x1452)+E(f482(x1453,x1451,x1454,x1455,x1456,x1457,x1458,x1459),f482(x1453,x1452,x1454,x1455,x1456,x1457,x1458,x1459)) % 169.26/169.10 [146]~E(x1461,x1462)+E(f482(x1463,x1464,x1461,x1465,x1466,x1467,x1468,x1469),f482(x1463,x1464,x1462,x1465,x1466,x1467,x1468,x1469)) % 169.26/169.10 [147]~E(x1471,x1472)+E(f482(x1473,x1474,x1475,x1471,x1476,x1477,x1478,x1479),f482(x1473,x1474,x1475,x1472,x1476,x1477,x1478,x1479)) % 169.26/169.10 [148]~E(x1481,x1482)+E(f482(x1483,x1484,x1485,x1486,x1481,x1487,x1488,x1489),f482(x1483,x1484,x1485,x1486,x1482,x1487,x1488,x1489)) % 169.26/169.10 [149]~E(x1491,x1492)+E(f482(x1493,x1494,x1495,x1496,x1497,x1491,x1498,x1499),f482(x1493,x1494,x1495,x1496,x1497,x1492,x1498,x1499)) % 169.26/169.10 [150]~E(x1501,x1502)+E(f482(x1503,x1504,x1505,x1506,x1507,x1508,x1501,x1509),f482(x1503,x1504,x1505,x1506,x1507,x1508,x1502,x1509)) % 169.26/169.10 [151]~E(x1511,x1512)+E(f482(x1513,x1514,x1515,x1516,x1517,x1518,x1519,x1511),f482(x1513,x1514,x1515,x1516,x1517,x1518,x1519,x1512)) % 169.26/169.10 [152]~E(x1521,x1522)+E(f277(x1521),f277(x1522)) % 169.26/169.10 [153]~E(x1531,x1532)+E(f231(x1531,x1533),f231(x1532,x1533)) % 169.26/169.10 [154]~E(x1541,x1542)+E(f231(x1543,x1541),f231(x1543,x1542)) % 169.26/169.10 [155]~E(x1551,x1552)+E(f103(x1551),f103(x1552)) % 169.26/169.10 [156]~E(x1561,x1562)+E(f299(x1561),f299(x1562)) % 169.26/169.10 [157]~E(x1571,x1572)+E(f184(x1571,x1573),f184(x1572,x1573)) % 169.26/169.10 [158]~E(x1581,x1582)+E(f184(x1583,x1581),f184(x1583,x1582)) % 169.26/169.10 [159]~E(x1591,x1592)+E(f238(x1591,x1593),f238(x1592,x1593)) % 169.26/169.10 [160]~E(x1601,x1602)+E(f238(x1603,x1601),f238(x1603,x1602)) % 169.26/169.10 [161]~E(x1611,x1612)+E(f5(x1611),f5(x1612)) % 169.26/169.10 [162]~E(x1621,x1622)+E(f884(x1621,x1623,x1624),f884(x1622,x1623,x1624)) % 169.26/169.10 [163]~E(x1631,x1632)+E(f884(x1633,x1631,x1634),f884(x1633,x1632,x1634)) % 169.26/169.10 [164]~E(x1641,x1642)+E(f884(x1643,x1644,x1641),f884(x1643,x1644,x1642)) % 169.26/169.10 [165]~E(x1651,x1652)+E(f67(x1651,x1653,x1654,x1655),f67(x1652,x1653,x1654,x1655)) % 169.26/169.10 [166]~E(x1661,x1662)+E(f67(x1663,x1661,x1664,x1665),f67(x1663,x1662,x1664,x1665)) % 169.26/169.10 [167]~E(x1671,x1672)+E(f67(x1673,x1674,x1671,x1675),f67(x1673,x1674,x1672,x1675)) % 169.26/169.10 [168]~E(x1681,x1682)+E(f67(x1683,x1684,x1685,x1681),f67(x1683,x1684,x1685,x1682)) % 169.26/169.10 [169]~E(x1691,x1692)+E(f274(x1691,x1693),f274(x1692,x1693)) % 169.26/169.10 [170]~E(x1701,x1702)+E(f274(x1703,x1701),f274(x1703,x1702)) % 169.26/169.10 [171]~E(x1711,x1712)+E(f294(x1711),f294(x1712)) % 169.26/169.10 [172]~E(x1721,x1722)+E(f333(x1721,x1723),f333(x1722,x1723)) % 169.26/169.10 [173]~E(x1731,x1732)+E(f333(x1733,x1731),f333(x1733,x1732)) % 169.26/169.10 [174]~E(x1741,x1742)+E(f249(x1741,x1743,x1744,x1745),f249(x1742,x1743,x1744,x1745)) % 169.26/169.10 [175]~E(x1751,x1752)+E(f249(x1753,x1751,x1754,x1755),f249(x1753,x1752,x1754,x1755)) % 169.26/169.10 [176]~E(x1761,x1762)+E(f249(x1763,x1764,x1761,x1765),f249(x1763,x1764,x1762,x1765)) % 169.26/169.10 [177]~E(x1771,x1772)+E(f249(x1773,x1774,x1775,x1771),f249(x1773,x1774,x1775,x1772)) % 169.26/169.10 [178]~E(x1781,x1782)+E(f292(x1781,x1783),f292(x1782,x1783)) % 169.26/169.10 [179]~E(x1791,x1792)+E(f292(x1793,x1791),f292(x1793,x1792)) % 169.26/169.10 [180]~E(x1801,x1802)+E(f34(x1801,x1803),f34(x1802,x1803)) % 169.26/169.10 [181]~E(x1811,x1812)+E(f34(x1813,x1811),f34(x1813,x1812)) % 169.26/169.10 [182]~E(x1821,x1822)+E(f70(x1821),f70(x1822)) % 169.26/169.10 [183]~E(x1831,x1832)+E(f140(x1831,x1833,x1834,x1835),f140(x1832,x1833,x1834,x1835)) % 169.26/169.10 [184]~E(x1841,x1842)+E(f140(x1843,x1841,x1844,x1845),f140(x1843,x1842,x1844,x1845)) % 169.26/169.10 [185]~E(x1851,x1852)+E(f140(x1853,x1854,x1851,x1855),f140(x1853,x1854,x1852,x1855)) % 169.26/169.10 [186]~E(x1861,x1862)+E(f140(x1863,x1864,x1865,x1861),f140(x1863,x1864,x1865,x1862)) % 169.26/169.10 [187]~E(x1871,x1872)+E(f141(x1871),f141(x1872)) % 169.26/169.10 [188]~E(x1881,x1882)+E(f802(x1881,x1883),f802(x1882,x1883)) % 169.26/169.10 [189]~E(x1891,x1892)+E(f802(x1893,x1891),f802(x1893,x1892)) % 169.26/169.10 [190]~E(x1901,x1902)+E(f29(x1901),f29(x1902)) % 169.26/169.10 [191]~E(x1911,x1912)+E(f173(x1911,x1913),f173(x1912,x1913)) % 169.26/169.10 [192]~E(x1921,x1922)+E(f173(x1923,x1921),f173(x1923,x1922)) % 169.26/169.10 [193]~E(x1931,x1932)+E(f6(x1931,x1933),f6(x1932,x1933)) % 169.26/169.10 [194]~E(x1941,x1942)+E(f6(x1943,x1941),f6(x1943,x1942)) % 169.26/169.10 [195]~E(x1951,x1952)+E(f829(x1951,x1953,x1954,x1955,x1956,x1957,x1958,x1959),f829(x1952,x1953,x1954,x1955,x1956,x1957,x1958,x1959)) % 169.26/169.10 [196]~E(x1961,x1962)+E(f829(x1963,x1961,x1964,x1965,x1966,x1967,x1968,x1969),f829(x1963,x1962,x1964,x1965,x1966,x1967,x1968,x1969)) % 169.26/169.10 [197]~E(x1971,x1972)+E(f829(x1973,x1974,x1971,x1975,x1976,x1977,x1978,x1979),f829(x1973,x1974,x1972,x1975,x1976,x1977,x1978,x1979)) % 169.26/169.10 [198]~E(x1981,x1982)+E(f829(x1983,x1984,x1985,x1981,x1986,x1987,x1988,x1989),f829(x1983,x1984,x1985,x1982,x1986,x1987,x1988,x1989)) % 169.26/169.10 [199]~E(x1991,x1992)+E(f829(x1993,x1994,x1995,x1996,x1991,x1997,x1998,x1999),f829(x1993,x1994,x1995,x1996,x1992,x1997,x1998,x1999)) % 169.26/169.10 [200]~E(x2001,x2002)+E(f829(x2003,x2004,x2005,x2006,x2007,x2001,x2008,x2009),f829(x2003,x2004,x2005,x2006,x2007,x2002,x2008,x2009)) % 169.26/169.10 [201]~E(x2011,x2012)+E(f829(x2013,x2014,x2015,x2016,x2017,x2018,x2011,x2019),f829(x2013,x2014,x2015,x2016,x2017,x2018,x2012,x2019)) % 169.26/169.10 [202]~E(x2021,x2022)+E(f829(x2023,x2024,x2025,x2026,x2027,x2028,x2029,x2021),f829(x2023,x2024,x2025,x2026,x2027,x2028,x2029,x2022)) % 169.26/169.10 [203]~E(x2031,x2032)+E(f81(x2031),f81(x2032)) % 169.26/169.10 [204]~E(x2041,x2042)+E(f293(x2041,x2043,x2044),f293(x2042,x2043,x2044)) % 169.26/169.10 [205]~E(x2051,x2052)+E(f293(x2053,x2051,x2054),f293(x2053,x2052,x2054)) % 169.26/169.10 [206]~E(x2061,x2062)+E(f293(x2063,x2064,x2061),f293(x2063,x2064,x2062)) % 169.26/169.10 [207]~E(x2071,x2072)+E(f551(x2071,x2073,x2074,x2075),f551(x2072,x2073,x2074,x2075)) % 169.26/169.10 [208]~E(x2081,x2082)+E(f551(x2083,x2081,x2084,x2085),f551(x2083,x2082,x2084,x2085)) % 169.26/169.10 [209]~E(x2091,x2092)+E(f551(x2093,x2094,x2091,x2095),f551(x2093,x2094,x2092,x2095)) % 169.26/169.10 [210]~E(x2101,x2102)+E(f551(x2103,x2104,x2105,x2101),f551(x2103,x2104,x2105,x2102)) % 169.26/169.10 [211]~E(x2111,x2112)+E(f694(x2111,x2113,x2114),f694(x2112,x2113,x2114)) % 169.26/169.10 [212]~E(x2121,x2122)+E(f694(x2123,x2121,x2124),f694(x2123,x2122,x2124)) % 169.26/169.10 [213]~E(x2131,x2132)+E(f694(x2133,x2134,x2131),f694(x2133,x2134,x2132)) % 169.26/169.10 [214]~E(x2141,x2142)+E(f159(x2141,x2143,x2144),f159(x2142,x2143,x2144)) % 169.26/169.10 [215]~E(x2151,x2152)+E(f159(x2153,x2151,x2154),f159(x2153,x2152,x2154)) % 169.26/169.10 [216]~E(x2161,x2162)+E(f159(x2163,x2164,x2161),f159(x2163,x2164,x2162)) % 169.26/169.10 [217]~E(x2171,x2172)+E(f128(x2171),f128(x2172)) % 169.26/169.10 [218]~E(x2181,x2182)+E(f565(x2181,x2183,x2184,x2185,x2186),f565(x2182,x2183,x2184,x2185,x2186)) % 169.26/169.10 [219]~E(x2191,x2192)+E(f565(x2193,x2191,x2194,x2195,x2196),f565(x2193,x2192,x2194,x2195,x2196)) % 169.26/169.10 [220]~E(x2201,x2202)+E(f565(x2203,x2204,x2201,x2205,x2206),f565(x2203,x2204,x2202,x2205,x2206)) % 169.26/169.10 [221]~E(x2211,x2212)+E(f565(x2213,x2214,x2215,x2211,x2216),f565(x2213,x2214,x2215,x2212,x2216)) % 169.26/169.10 [222]~E(x2221,x2222)+E(f565(x2223,x2224,x2225,x2226,x2221),f565(x2223,x2224,x2225,x2226,x2222)) % 169.26/169.10 [223]~E(x2231,x2232)+E(f246(x2231,x2233),f246(x2232,x2233)) % 169.26/169.10 [224]~E(x2241,x2242)+E(f246(x2243,x2241),f246(x2243,x2242)) % 169.26/169.10 [225]~E(x2251,x2252)+E(f291(x2251),f291(x2252)) % 169.26/169.10 [226]~E(x2261,x2262)+E(f35(x2261,x2263),f35(x2262,x2263)) % 169.26/169.10 [227]~E(x2271,x2272)+E(f35(x2273,x2271),f35(x2273,x2272)) % 169.26/169.10 [228]~E(x2281,x2282)+E(f149(x2281,x2283),f149(x2282,x2283)) % 169.26/169.10 [229]~E(x2291,x2292)+E(f149(x2293,x2291),f149(x2293,x2292)) % 169.26/169.10 [230]~E(x2301,x2302)+E(f834(x2301,x2303,x2304),f834(x2302,x2303,x2304)) % 169.26/169.10 [231]~E(x2311,x2312)+E(f834(x2313,x2311,x2314),f834(x2313,x2312,x2314)) % 169.26/169.10 [232]~E(x2321,x2322)+E(f834(x2323,x2324,x2321),f834(x2323,x2324,x2322)) % 169.26/169.10 [233]~E(x2331,x2332)+E(f286(x2331,x2333,x2334),f286(x2332,x2333,x2334)) % 169.26/169.10 [234]~E(x2341,x2342)+E(f286(x2343,x2341,x2344),f286(x2343,x2342,x2344)) % 169.26/169.10 [235]~E(x2351,x2352)+E(f286(x2353,x2354,x2351),f286(x2353,x2354,x2352)) % 169.26/169.10 [236]~E(x2361,x2362)+E(f234(x2361),f234(x2362)) % 169.26/169.10 [237]~E(x2371,x2372)+E(f100(x2371),f100(x2372)) % 169.26/169.10 [238]~E(x2381,x2382)+E(f132(x2381,x2383,x2384,x2385),f132(x2382,x2383,x2384,x2385)) % 169.26/169.10 [239]~E(x2391,x2392)+E(f132(x2393,x2391,x2394,x2395),f132(x2393,x2392,x2394,x2395)) % 169.26/169.10 [240]~E(x2401,x2402)+E(f132(x2403,x2404,x2401,x2405),f132(x2403,x2404,x2402,x2405)) % 169.26/169.10 [241]~E(x2411,x2412)+E(f132(x2413,x2414,x2415,x2411),f132(x2413,x2414,x2415,x2412)) % 169.26/169.10 [242]~E(x2421,x2422)+E(f301(x2421,x2423,x2424),f301(x2422,x2423,x2424)) % 169.26/169.10 [243]~E(x2431,x2432)+E(f301(x2433,x2431,x2434),f301(x2433,x2432,x2434)) % 169.26/169.10 [244]~E(x2441,x2442)+E(f301(x2443,x2444,x2441),f301(x2443,x2444,x2442)) % 169.26/169.10 [245]~E(x2451,x2452)+E(f42(x2451,x2453),f42(x2452,x2453)) % 169.26/169.10 [246]~E(x2461,x2462)+E(f42(x2463,x2461),f42(x2463,x2462)) % 169.26/169.10 [247]~E(x2471,x2472)+E(f57(x2471,x2473),f57(x2472,x2473)) % 169.26/169.10 [248]~E(x2481,x2482)+E(f57(x2483,x2481),f57(x2483,x2482)) % 169.26/169.10 [249]~E(x2491,x2492)+E(f379(x2491),f379(x2492)) % 169.26/169.10 [250]~E(x2501,x2502)+E(f104(x2501,x2503),f104(x2502,x2503)) % 169.26/169.10 [251]~E(x2511,x2512)+E(f104(x2513,x2511),f104(x2513,x2512)) % 169.26/169.10 [252]~E(x2521,x2522)+E(f16(x2521,x2523),f16(x2522,x2523)) % 169.26/169.10 [253]~E(x2531,x2532)+E(f16(x2533,x2531),f16(x2533,x2532)) % 169.26/169.10 [254]~E(x2541,x2542)+E(f151(x2541,x2543),f151(x2542,x2543)) % 169.26/169.10 [255]~E(x2551,x2552)+E(f151(x2553,x2551),f151(x2553,x2552)) % 169.26/169.10 [256]~E(x2561,x2562)+E(f142(x2561,x2563),f142(x2562,x2563)) % 169.26/169.10 [257]~E(x2571,x2572)+E(f142(x2573,x2571),f142(x2573,x2572)) % 169.26/169.10 [258]~E(x2581,x2582)+E(f305(x2581,x2583),f305(x2582,x2583)) % 169.26/169.10 [259]~E(x2591,x2592)+E(f305(x2593,x2591),f305(x2593,x2592)) % 169.26/169.10 [260]~E(x2601,x2602)+E(f181(x2601),f181(x2602)) % 169.26/169.10 [261]~E(x2611,x2612)+E(f165(x2611),f165(x2612)) % 169.26/169.10 [262]~E(x2621,x2622)+E(f105(x2621),f105(x2622)) % 169.26/169.10 [263]~E(x2631,x2632)+E(f710(x2631,x2633),f710(x2632,x2633)) % 169.26/169.10 [264]~E(x2641,x2642)+E(f710(x2643,x2641),f710(x2643,x2642)) % 169.26/169.10 [265]~E(x2651,x2652)+E(f902(x2651,x2653),f902(x2652,x2653)) % 169.26/169.10 [266]~E(x2661,x2662)+E(f902(x2663,x2661),f902(x2663,x2662)) % 169.26/169.10 [267]~E(x2671,x2672)+E(f361(x2671,x2673,x2674,x2675),f361(x2672,x2673,x2674,x2675)) % 169.26/169.10 [268]~E(x2681,x2682)+E(f361(x2683,x2681,x2684,x2685),f361(x2683,x2682,x2684,x2685)) % 169.26/169.10 [269]~E(x2691,x2692)+E(f361(x2693,x2694,x2691,x2695),f361(x2693,x2694,x2692,x2695)) % 169.26/169.10 [270]~E(x2701,x2702)+E(f361(x2703,x2704,x2705,x2701),f361(x2703,x2704,x2705,x2702)) % 169.26/169.10 [271]~E(x2711,x2712)+E(f157(x2711),f157(x2712)) % 169.26/169.10 [272]~E(x2721,x2722)+E(f48(x2721,x2723),f48(x2722,x2723)) % 169.26/169.10 [273]~E(x2731,x2732)+E(f48(x2733,x2731),f48(x2733,x2732)) % 169.26/169.10 [274]~E(x2741,x2742)+E(f247(x2741,x2743,x2744),f247(x2742,x2743,x2744)) % 169.26/169.10 [275]~E(x2751,x2752)+E(f247(x2753,x2751,x2754),f247(x2753,x2752,x2754)) % 169.26/169.10 [276]~E(x2761,x2762)+E(f247(x2763,x2764,x2761),f247(x2763,x2764,x2762)) % 169.26/169.10 [277]~E(x2771,x2772)+E(f155(x2771),f155(x2772)) % 169.26/169.10 [278]~E(x2781,x2782)+E(f161(x2781),f161(x2782)) % 169.26/169.10 [279]~E(x2791,x2792)+E(f276(x2791,x2793),f276(x2792,x2793)) % 169.26/169.10 [280]~E(x2801,x2802)+E(f276(x2803,x2801),f276(x2803,x2802)) % 169.26/169.10 [281]~E(x2811,x2812)+E(f160(x2811,x2813,x2814),f160(x2812,x2813,x2814)) % 169.26/169.10 [282]~E(x2821,x2822)+E(f160(x2823,x2821,x2824),f160(x2823,x2822,x2824)) % 169.26/169.10 [283]~E(x2831,x2832)+E(f160(x2833,x2834,x2831),f160(x2833,x2834,x2832)) % 169.26/169.10 [284]~E(x2841,x2842)+E(f135(x2841,x2843),f135(x2842,x2843)) % 169.26/169.10 [285]~E(x2851,x2852)+E(f135(x2853,x2851),f135(x2853,x2852)) % 169.26/169.10 [286]~E(x2861,x2862)+E(f43(x2861,x2863),f43(x2862,x2863)) % 169.26/169.10 [287]~E(x2871,x2872)+E(f43(x2873,x2871),f43(x2873,x2872)) % 169.26/169.10 [288]~E(x2881,x2882)+E(f779(x2881,x2883,x2884,x2885,x2886),f779(x2882,x2883,x2884,x2885,x2886)) % 169.26/169.10 [289]~E(x2891,x2892)+E(f779(x2893,x2891,x2894,x2895,x2896),f779(x2893,x2892,x2894,x2895,x2896)) % 169.26/169.10 [290]~E(x2901,x2902)+E(f779(x2903,x2904,x2901,x2905,x2906),f779(x2903,x2904,x2902,x2905,x2906)) % 169.26/169.10 [291]~E(x2911,x2912)+E(f779(x2913,x2914,x2915,x2911,x2916),f779(x2913,x2914,x2915,x2912,x2916)) % 169.26/169.10 [292]~E(x2921,x2922)+E(f779(x2923,x2924,x2925,x2926,x2921),f779(x2923,x2924,x2925,x2926,x2922)) % 169.26/169.10 [293]~E(x2931,x2932)+E(f474(x2931,x2933,x2934,x2935),f474(x2932,x2933,x2934,x2935)) % 169.26/169.10 [294]~E(x2941,x2942)+E(f474(x2943,x2941,x2944,x2945),f474(x2943,x2942,x2944,x2945)) % 169.26/169.10 [295]~E(x2951,x2952)+E(f474(x2953,x2954,x2951,x2955),f474(x2953,x2954,x2952,x2955)) % 169.26/169.10 [296]~E(x2961,x2962)+E(f474(x2963,x2964,x2965,x2961),f474(x2963,x2964,x2965,x2962)) % 169.26/169.10 [297]~E(x2971,x2972)+E(f15(x2971,x2973),f15(x2972,x2973)) % 169.26/169.10 [298]~E(x2981,x2982)+E(f15(x2983,x2981),f15(x2983,x2982)) % 169.26/169.10 [299]~E(x2991,x2992)+E(f598(x2991,x2993,x2994,x2995,x2996,x2997,x2998,x2999),f598(x2992,x2993,x2994,x2995,x2996,x2997,x2998,x2999)) % 169.26/169.10 [300]~E(x3001,x3002)+E(f598(x3003,x3001,x3004,x3005,x3006,x3007,x3008,x3009),f598(x3003,x3002,x3004,x3005,x3006,x3007,x3008,x3009)) % 169.26/169.10 [301]~E(x3011,x3012)+E(f598(x3013,x3014,x3011,x3015,x3016,x3017,x3018,x3019),f598(x3013,x3014,x3012,x3015,x3016,x3017,x3018,x3019)) % 169.26/169.10 [302]~E(x3021,x3022)+E(f598(x3023,x3024,x3025,x3021,x3026,x3027,x3028,x3029),f598(x3023,x3024,x3025,x3022,x3026,x3027,x3028,x3029)) % 169.26/169.10 [303]~E(x3031,x3032)+E(f598(x3033,x3034,x3035,x3036,x3031,x3037,x3038,x3039),f598(x3033,x3034,x3035,x3036,x3032,x3037,x3038,x3039)) % 169.26/169.10 [304]~E(x3041,x3042)+E(f598(x3043,x3044,x3045,x3046,x3047,x3041,x3048,x3049),f598(x3043,x3044,x3045,x3046,x3047,x3042,x3048,x3049)) % 169.26/169.10 [305]~E(x3051,x3052)+E(f598(x3053,x3054,x3055,x3056,x3057,x3058,x3051,x3059),f598(x3053,x3054,x3055,x3056,x3057,x3058,x3052,x3059)) % 169.26/169.10 [306]~E(x3061,x3062)+E(f598(x3063,x3064,x3065,x3066,x3067,x3068,x3069,x3061),f598(x3063,x3064,x3065,x3066,x3067,x3068,x3069,x3062)) % 169.26/169.10 [307]~E(x3071,x3072)+E(f134(x3071,x3073),f134(x3072,x3073)) % 169.26/169.10 [308]~E(x3081,x3082)+E(f134(x3083,x3081),f134(x3083,x3082)) % 169.26/169.11 [309]~E(x3091,x3092)+E(f59(x3091,x3093,x3094),f59(x3092,x3093,x3094)) % 169.26/169.11 [310]~E(x3101,x3102)+E(f59(x3103,x3101,x3104),f59(x3103,x3102,x3104)) % 169.26/169.11 [311]~E(x3111,x3112)+E(f59(x3113,x3114,x3111),f59(x3113,x3114,x3112)) % 169.26/169.11 [312]~E(x3121,x3122)+E(f147(x3121,x3123),f147(x3122,x3123)) % 169.26/169.11 [313]~E(x3131,x3132)+E(f147(x3133,x3131),f147(x3133,x3132)) % 169.26/169.11 [314]~E(x3141,x3142)+E(f308(x3141,x3143),f308(x3142,x3143)) % 169.26/169.11 [315]~E(x3151,x3152)+E(f308(x3153,x3151),f308(x3153,x3152)) % 169.26/169.11 [316]~E(x3161,x3162)+E(f117(x3161,x3163,x3164,x3165,x3166),f117(x3162,x3163,x3164,x3165,x3166)) % 169.26/169.11 [317]~E(x3171,x3172)+E(f117(x3173,x3171,x3174,x3175,x3176),f117(x3173,x3172,x3174,x3175,x3176)) % 169.26/169.11 [318]~E(x3181,x3182)+E(f117(x3183,x3184,x3181,x3185,x3186),f117(x3183,x3184,x3182,x3185,x3186)) % 169.26/169.11 [319]~E(x3191,x3192)+E(f117(x3193,x3194,x3195,x3191,x3196),f117(x3193,x3194,x3195,x3192,x3196)) % 169.26/169.11 [320]~E(x3201,x3202)+E(f117(x3203,x3204,x3205,x3206,x3201),f117(x3203,x3204,x3205,x3206,x3202)) % 169.26/169.11 [321]~E(x3211,x3212)+E(f86(x3211),f86(x3212)) % 169.26/169.11 [322]~E(x3221,x3222)+E(f310(x3221,x3223),f310(x3222,x3223)) % 169.26/169.11 [323]~E(x3231,x3232)+E(f310(x3233,x3231),f310(x3233,x3232)) % 169.26/169.11 [324]~E(x3241,x3242)+E(f180(x3241,x3243,x3244,x3245),f180(x3242,x3243,x3244,x3245)) % 169.26/169.11 [325]~E(x3251,x3252)+E(f180(x3253,x3251,x3254,x3255),f180(x3253,x3252,x3254,x3255)) % 169.26/169.11 [326]~E(x3261,x3262)+E(f180(x3263,x3264,x3261,x3265),f180(x3263,x3264,x3262,x3265)) % 169.26/169.11 [327]~E(x3271,x3272)+E(f180(x3273,x3274,x3275,x3271),f180(x3273,x3274,x3275,x3272)) % 169.26/169.11 [328]~E(x3281,x3282)+E(f144(x3281,x3283),f144(x3282,x3283)) % 169.26/169.11 [329]~E(x3291,x3292)+E(f144(x3293,x3291),f144(x3293,x3292)) % 169.26/169.11 [330]~E(x3301,x3302)+E(f50(x3301,x3303,x3304),f50(x3302,x3303,x3304)) % 169.26/169.11 [331]~E(x3311,x3312)+E(f50(x3313,x3311,x3314),f50(x3313,x3312,x3314)) % 169.26/169.11 [332]~E(x3321,x3322)+E(f50(x3323,x3324,x3321),f50(x3323,x3324,x3322)) % 169.26/169.11 [333]~E(x3331,x3332)+E(f85(x3331,x3333,x3334,x3335),f85(x3332,x3333,x3334,x3335)) % 169.26/169.11 [334]~E(x3341,x3342)+E(f85(x3343,x3341,x3344,x3345),f85(x3343,x3342,x3344,x3345)) % 169.26/169.11 [335]~E(x3351,x3352)+E(f85(x3353,x3354,x3351,x3355),f85(x3353,x3354,x3352,x3355)) % 169.26/169.11 [336]~E(x3361,x3362)+E(f85(x3363,x3364,x3365,x3361),f85(x3363,x3364,x3365,x3362)) % 169.26/169.11 [337]~E(x3371,x3372)+E(f148(x3371,x3373),f148(x3372,x3373)) % 169.26/169.11 [338]~E(x3381,x3382)+E(f148(x3383,x3381),f148(x3383,x3382)) % 169.26/169.11 [339]~E(x3391,x3392)+E(f126(x3391,x3393),f126(x3392,x3393)) % 169.26/169.11 [340]~E(x3401,x3402)+E(f126(x3403,x3401),f126(x3403,x3402)) % 169.26/169.11 [341]~E(x3411,x3412)+E(f707(x3411,x3413),f707(x3412,x3413)) % 169.26/169.11 [342]~E(x3421,x3422)+E(f707(x3423,x3421),f707(x3423,x3422)) % 169.26/169.11 [343]~E(x3431,x3432)+E(f270(x3431,x3433,x3434,x3435),f270(x3432,x3433,x3434,x3435)) % 169.26/169.11 [344]~E(x3441,x3442)+E(f270(x3443,x3441,x3444,x3445),f270(x3443,x3442,x3444,x3445)) % 169.26/169.11 [345]~E(x3451,x3452)+E(f270(x3453,x3454,x3451,x3455),f270(x3453,x3454,x3452,x3455)) % 169.26/169.11 [346]~E(x3461,x3462)+E(f270(x3463,x3464,x3465,x3461),f270(x3463,x3464,x3465,x3462)) % 169.26/169.11 [347]~E(x3471,x3472)+E(f138(x3471,x3473,x3474),f138(x3472,x3473,x3474)) % 169.26/169.11 [348]~E(x3481,x3482)+E(f138(x3483,x3481,x3484),f138(x3483,x3482,x3484)) % 169.26/169.11 [349]~E(x3491,x3492)+E(f138(x3493,x3494,x3491),f138(x3493,x3494,x3492)) % 169.26/169.11 [350]~E(x3501,x3502)+E(f10(x3501,x3503),f10(x3502,x3503)) % 169.26/169.11 [351]~E(x3511,x3512)+E(f10(x3513,x3511),f10(x3513,x3512)) % 169.26/169.11 [352]~E(x3521,x3522)+E(f487(x3521,x3523,x3524,x3525,x3526,x3527,x3528),f487(x3522,x3523,x3524,x3525,x3526,x3527,x3528)) % 169.26/169.11 [353]~E(x3531,x3532)+E(f487(x3533,x3531,x3534,x3535,x3536,x3537,x3538),f487(x3533,x3532,x3534,x3535,x3536,x3537,x3538)) % 169.26/169.11 [354]~E(x3541,x3542)+E(f487(x3543,x3544,x3541,x3545,x3546,x3547,x3548),f487(x3543,x3544,x3542,x3545,x3546,x3547,x3548)) % 169.26/169.11 [355]~E(x3551,x3552)+E(f487(x3553,x3554,x3555,x3551,x3556,x3557,x3558),f487(x3553,x3554,x3555,x3552,x3556,x3557,x3558)) % 169.26/169.11 [356]~E(x3561,x3562)+E(f487(x3563,x3564,x3565,x3566,x3561,x3567,x3568),f487(x3563,x3564,x3565,x3566,x3562,x3567,x3568)) % 169.26/169.11 [357]~E(x3571,x3572)+E(f487(x3573,x3574,x3575,x3576,x3577,x3571,x3578),f487(x3573,x3574,x3575,x3576,x3577,x3572,x3578)) % 169.26/169.11 [358]~E(x3581,x3582)+E(f487(x3583,x3584,x3585,x3586,x3587,x3588,x3581),f487(x3583,x3584,x3585,x3586,x3587,x3588,x3582)) % 169.26/169.11 [359]~E(x3591,x3592)+E(f748(x3591,x3593,x3594),f748(x3592,x3593,x3594)) % 169.26/169.11 [360]~E(x3601,x3602)+E(f748(x3603,x3601,x3604),f748(x3603,x3602,x3604)) % 169.26/169.11 [361]~E(x3611,x3612)+E(f748(x3613,x3614,x3611),f748(x3613,x3614,x3612)) % 169.26/169.11 [362]~E(x3621,x3622)+E(f407(x3621,x3623,x3624,x3625,x3626),f407(x3622,x3623,x3624,x3625,x3626)) % 169.26/169.11 [363]~E(x3631,x3632)+E(f407(x3633,x3631,x3634,x3635,x3636),f407(x3633,x3632,x3634,x3635,x3636)) % 169.26/169.11 [364]~E(x3641,x3642)+E(f407(x3643,x3644,x3641,x3645,x3646),f407(x3643,x3644,x3642,x3645,x3646)) % 169.26/169.11 [365]~E(x3651,x3652)+E(f407(x3653,x3654,x3655,x3651,x3656),f407(x3653,x3654,x3655,x3652,x3656)) % 169.26/169.11 [366]~E(x3661,x3662)+E(f407(x3663,x3664,x3665,x3666,x3661),f407(x3663,x3664,x3665,x3666,x3662)) % 169.26/169.11 [367]~E(x3671,x3672)+E(f591(x3671,x3673,x3674),f591(x3672,x3673,x3674)) % 169.26/169.11 [368]~E(x3681,x3682)+E(f591(x3683,x3681,x3684),f591(x3683,x3682,x3684)) % 169.26/169.11 [369]~E(x3691,x3692)+E(f591(x3693,x3694,x3691),f591(x3693,x3694,x3692)) % 169.26/169.11 [370]~E(x3701,x3702)+E(f625(x3701,x3703,x3704,x3705,x3706,x3707,x3708),f625(x3702,x3703,x3704,x3705,x3706,x3707,x3708)) % 169.26/169.11 [371]~E(x3711,x3712)+E(f625(x3713,x3711,x3714,x3715,x3716,x3717,x3718),f625(x3713,x3712,x3714,x3715,x3716,x3717,x3718)) % 169.26/169.11 [372]~E(x3721,x3722)+E(f625(x3723,x3724,x3721,x3725,x3726,x3727,x3728),f625(x3723,x3724,x3722,x3725,x3726,x3727,x3728)) % 169.26/169.11 [373]~E(x3731,x3732)+E(f625(x3733,x3734,x3735,x3731,x3736,x3737,x3738),f625(x3733,x3734,x3735,x3732,x3736,x3737,x3738)) % 169.26/169.11 [374]~E(x3741,x3742)+E(f625(x3743,x3744,x3745,x3746,x3741,x3747,x3748),f625(x3743,x3744,x3745,x3746,x3742,x3747,x3748)) % 169.26/169.11 [375]~E(x3751,x3752)+E(f625(x3753,x3754,x3755,x3756,x3757,x3751,x3758),f625(x3753,x3754,x3755,x3756,x3757,x3752,x3758)) % 169.26/169.11 [376]~E(x3761,x3762)+E(f625(x3763,x3764,x3765,x3766,x3767,x3768,x3761),f625(x3763,x3764,x3765,x3766,x3767,x3768,x3762)) % 169.26/169.11 [377]~E(x3771,x3772)+E(f171(x3771,x3773),f171(x3772,x3773)) % 169.26/169.11 [378]~E(x3781,x3782)+E(f171(x3783,x3781),f171(x3783,x3782)) % 169.26/169.11 [379]~E(x3791,x3792)+E(f109(x3791),f109(x3792)) % 169.26/169.11 [380]~E(x3801,x3802)+E(f110(x3801,x3803),f110(x3802,x3803)) % 169.26/169.11 [381]~E(x3811,x3812)+E(f110(x3813,x3811),f110(x3813,x3812)) % 169.26/169.11 [382]~E(x3821,x3822)+E(f396(x3821,x3823),f396(x3822,x3823)) % 169.26/169.11 [383]~E(x3831,x3832)+E(f396(x3833,x3831),f396(x3833,x3832)) % 169.26/169.11 [384]~E(x3841,x3842)+E(f798(x3841),f798(x3842)) % 169.26/169.11 [385]~E(x3851,x3852)+E(f129(x3851,x3853),f129(x3852,x3853)) % 169.26/169.11 [386]~E(x3861,x3862)+E(f129(x3863,x3861),f129(x3863,x3862)) % 169.26/169.11 [387]~E(x3871,x3872)+E(f243(x3871,x3873,x3874,x3875,x3876),f243(x3872,x3873,x3874,x3875,x3876)) % 169.26/169.11 [388]~E(x3881,x3882)+E(f243(x3883,x3881,x3884,x3885,x3886),f243(x3883,x3882,x3884,x3885,x3886)) % 169.26/169.11 [389]~E(x3891,x3892)+E(f243(x3893,x3894,x3891,x3895,x3896),f243(x3893,x3894,x3892,x3895,x3896)) % 169.26/169.11 [390]~E(x3901,x3902)+E(f243(x3903,x3904,x3905,x3901,x3906),f243(x3903,x3904,x3905,x3902,x3906)) % 169.26/169.11 [391]~E(x3911,x3912)+E(f243(x3913,x3914,x3915,x3916,x3911),f243(x3913,x3914,x3915,x3916,x3912)) % 169.26/169.11 [392]~E(x3921,x3922)+E(f79(x3921,x3923),f79(x3922,x3923)) % 169.26/169.11 [393]~E(x3931,x3932)+E(f79(x3933,x3931),f79(x3933,x3932)) % 169.26/169.11 [394]~E(x3941,x3942)+E(f169(x3941,x3943),f169(x3942,x3943)) % 169.26/169.11 [395]~E(x3951,x3952)+E(f169(x3953,x3951),f169(x3953,x3952)) % 169.26/169.11 [396]~E(x3961,x3962)+E(f84(x3961,x3963),f84(x3962,x3963)) % 169.26/169.11 [397]~E(x3971,x3972)+E(f84(x3973,x3971),f84(x3973,x3972)) % 169.26/169.11 [398]~E(x3981,x3982)+E(f168(x3981,x3983),f168(x3982,x3983)) % 169.26/169.11 [399]~E(x3991,x3992)+E(f168(x3993,x3991),f168(x3993,x3992)) % 169.26/169.11 [400]~E(x4001,x4002)+E(f143(x4001,x4003),f143(x4002,x4003)) % 169.26/169.11 [401]~E(x4011,x4012)+E(f143(x4013,x4011),f143(x4013,x4012)) % 169.26/169.11 [402]~E(x4021,x4022)+E(f253(x4021,x4023),f253(x4022,x4023)) % 169.26/169.11 [403]~E(x4031,x4032)+E(f253(x4033,x4031),f253(x4033,x4032)) % 169.26/169.11 [404]~E(x4041,x4042)+E(f275(x4041,x4043,x4044),f275(x4042,x4043,x4044)) % 169.26/169.11 [405]~E(x4051,x4052)+E(f275(x4053,x4051,x4054),f275(x4053,x4052,x4054)) % 169.26/169.11 [406]~E(x4061,x4062)+E(f275(x4063,x4064,x4061),f275(x4063,x4064,x4062)) % 169.26/169.11 [407]~E(x4071,x4072)+E(f691(x4071,x4073,x4074),f691(x4072,x4073,x4074)) % 169.26/169.11 [408]~E(x4081,x4082)+E(f691(x4083,x4081,x4084),f691(x4083,x4082,x4084)) % 169.26/169.11 [409]~E(x4091,x4092)+E(f691(x4093,x4094,x4091),f691(x4093,x4094,x4092)) % 169.26/169.11 [410]~E(x4101,x4102)+E(f795(x4101,x4103,x4104,x4105,x4106,x4107),f795(x4102,x4103,x4104,x4105,x4106,x4107)) % 169.26/169.11 [411]~E(x4111,x4112)+E(f795(x4113,x4111,x4114,x4115,x4116,x4117),f795(x4113,x4112,x4114,x4115,x4116,x4117)) % 169.26/169.11 [412]~E(x4121,x4122)+E(f795(x4123,x4124,x4121,x4125,x4126,x4127),f795(x4123,x4124,x4122,x4125,x4126,x4127)) % 169.26/169.11 [413]~E(x4131,x4132)+E(f795(x4133,x4134,x4135,x4131,x4136,x4137),f795(x4133,x4134,x4135,x4132,x4136,x4137)) % 169.26/169.11 [414]~E(x4141,x4142)+E(f795(x4143,x4144,x4145,x4146,x4141,x4147),f795(x4143,x4144,x4145,x4146,x4142,x4147)) % 169.26/169.11 [415]~E(x4151,x4152)+E(f795(x4153,x4154,x4155,x4156,x4157,x4151),f795(x4153,x4154,x4155,x4156,x4157,x4152)) % 169.26/169.11 [416]~E(x4161,x4162)+E(f733(x4161,x4163,x4164,x4165),f733(x4162,x4163,x4164,x4165)) % 169.26/169.11 [417]~E(x4171,x4172)+E(f733(x4173,x4171,x4174,x4175),f733(x4173,x4172,x4174,x4175)) % 169.26/169.11 [418]~E(x4181,x4182)+E(f733(x4183,x4184,x4181,x4185),f733(x4183,x4184,x4182,x4185)) % 169.26/169.11 [419]~E(x4191,x4192)+E(f733(x4193,x4194,x4195,x4191),f733(x4193,x4194,x4195,x4192)) % 169.26/169.11 [420]~E(x4201,x4202)+E(f269(x4201,x4203,x4204,x4205),f269(x4202,x4203,x4204,x4205)) % 169.26/169.11 [421]~E(x4211,x4212)+E(f269(x4213,x4211,x4214,x4215),f269(x4213,x4212,x4214,x4215)) % 169.26/169.11 [422]~E(x4221,x4222)+E(f269(x4223,x4224,x4221,x4225),f269(x4223,x4224,x4222,x4225)) % 169.26/169.11 [423]~E(x4231,x4232)+E(f269(x4233,x4234,x4235,x4231),f269(x4233,x4234,x4235,x4232)) % 169.26/169.11 [424]~E(x4241,x4242)+E(f788(x4241),f788(x4242)) % 169.26/169.11 [425]~E(x4251,x4252)+E(f306(x4251,x4253),f306(x4252,x4253)) % 169.26/169.11 [426]~E(x4261,x4262)+E(f306(x4263,x4261),f306(x4263,x4262)) % 169.26/169.11 [427]~E(x4271,x4272)+E(f537(x4271,x4273,x4274),f537(x4272,x4273,x4274)) % 169.26/169.11 [428]~E(x4281,x4282)+E(f537(x4283,x4281,x4284),f537(x4283,x4282,x4284)) % 169.26/169.11 [429]~E(x4291,x4292)+E(f537(x4293,x4294,x4291),f537(x4293,x4294,x4292)) % 169.26/169.11 [430]~E(x4301,x4302)+E(f106(x4301,x4303,x4304),f106(x4302,x4303,x4304)) % 169.26/169.11 [431]~E(x4311,x4312)+E(f106(x4313,x4311,x4314),f106(x4313,x4312,x4314)) % 169.26/169.11 [432]~E(x4321,x4322)+E(f106(x4323,x4324,x4321),f106(x4323,x4324,x4322)) % 169.26/169.11 [433]~E(x4331,x4332)+E(f254(x4331,x4333),f254(x4332,x4333)) % 169.26/169.11 [434]~E(x4341,x4342)+E(f254(x4343,x4341),f254(x4343,x4342)) % 169.26/169.11 [435]~E(x4351,x4352)+E(f115(x4351,x4353),f115(x4352,x4353)) % 169.26/169.11 [436]~E(x4361,x4362)+E(f115(x4363,x4361),f115(x4363,x4362)) % 169.26/169.11 [437]~E(x4371,x4372)+E(f854(x4371,x4373,x4374),f854(x4372,x4373,x4374)) % 169.26/169.11 [438]~E(x4381,x4382)+E(f854(x4383,x4381,x4384),f854(x4383,x4382,x4384)) % 169.26/169.11 [439]~E(x4391,x4392)+E(f854(x4393,x4394,x4391),f854(x4393,x4394,x4392)) % 169.26/169.11 [440]~E(x4401,x4402)+E(f41(x4401,x4403),f41(x4402,x4403)) % 169.26/169.11 [441]~E(x4411,x4412)+E(f41(x4413,x4411),f41(x4413,x4412)) % 169.26/169.11 [442]~E(x4421,x4422)+E(f9(x4421,x4423),f9(x4422,x4423)) % 169.26/169.11 [443]~E(x4431,x4432)+E(f9(x4433,x4431),f9(x4433,x4432)) % 169.26/169.11 [444]~E(x4441,x4442)+E(f323(x4441),f323(x4442)) % 169.26/169.11 [445]~E(x4451,x4452)+E(f332(x4451,x4453,x4454,x4455),f332(x4452,x4453,x4454,x4455)) % 169.26/169.11 [446]~E(x4461,x4462)+E(f332(x4463,x4461,x4464,x4465),f332(x4463,x4462,x4464,x4465)) % 169.26/169.11 [447]~E(x4471,x4472)+E(f332(x4473,x4474,x4471,x4475),f332(x4473,x4474,x4472,x4475)) % 169.26/169.11 [448]~E(x4481,x4482)+E(f332(x4483,x4484,x4485,x4481),f332(x4483,x4484,x4485,x4482)) % 169.26/169.11 [449]~E(x4491,x4492)+E(f271(x4491),f271(x4492)) % 169.26/169.11 [450]~E(x4501,x4502)+E(f765(x4501,x4503,x4504,x4505,x4506,x4507,x4508),f765(x4502,x4503,x4504,x4505,x4506,x4507,x4508)) % 169.26/169.11 [451]~E(x4511,x4512)+E(f765(x4513,x4511,x4514,x4515,x4516,x4517,x4518),f765(x4513,x4512,x4514,x4515,x4516,x4517,x4518)) % 169.26/169.11 [452]~E(x4521,x4522)+E(f765(x4523,x4524,x4521,x4525,x4526,x4527,x4528),f765(x4523,x4524,x4522,x4525,x4526,x4527,x4528)) % 169.26/169.11 [453]~E(x4531,x4532)+E(f765(x4533,x4534,x4535,x4531,x4536,x4537,x4538),f765(x4533,x4534,x4535,x4532,x4536,x4537,x4538)) % 169.26/169.11 [454]~E(x4541,x4542)+E(f765(x4543,x4544,x4545,x4546,x4541,x4547,x4548),f765(x4543,x4544,x4545,x4546,x4542,x4547,x4548)) % 169.26/169.11 [455]~E(x4551,x4552)+E(f765(x4553,x4554,x4555,x4556,x4557,x4551,x4558),f765(x4553,x4554,x4555,x4556,x4557,x4552,x4558)) % 169.26/169.11 [456]~E(x4561,x4562)+E(f765(x4563,x4564,x4565,x4566,x4567,x4568,x4561),f765(x4563,x4564,x4565,x4566,x4567,x4568,x4562)) % 169.26/169.11 [457]~E(x4571,x4572)+E(f145(x4571,x4573,x4574),f145(x4572,x4573,x4574)) % 169.26/169.11 [458]~E(x4581,x4582)+E(f145(x4583,x4581,x4584),f145(x4583,x4582,x4584)) % 169.26/169.11 [459]~E(x4591,x4592)+E(f145(x4593,x4594,x4591),f145(x4593,x4594,x4592)) % 169.26/169.11 [460]~E(x4601,x4602)+E(f702(x4601,x4603,x4604,x4605),f702(x4602,x4603,x4604,x4605)) % 169.26/169.11 [461]~E(x4611,x4612)+E(f702(x4613,x4611,x4614,x4615),f702(x4613,x4612,x4614,x4615)) % 169.26/169.11 [462]~E(x4621,x4622)+E(f702(x4623,x4624,x4621,x4625),f702(x4623,x4624,x4622,x4625)) % 169.26/169.11 [463]~E(x4631,x4632)+E(f702(x4633,x4634,x4635,x4631),f702(x4633,x4634,x4635,x4632)) % 169.26/169.11 [464]~E(x4641,x4642)+E(f233(x4641,x4643,x4644),f233(x4642,x4643,x4644)) % 169.26/169.11 [465]~E(x4651,x4652)+E(f233(x4653,x4651,x4654),f233(x4653,x4652,x4654)) % 169.26/169.11 [466]~E(x4661,x4662)+E(f233(x4663,x4664,x4661),f233(x4663,x4664,x4662)) % 169.26/169.11 [467]~E(x4671,x4672)+E(f167(x4671,x4673,x4674),f167(x4672,x4673,x4674)) % 169.26/169.11 [468]~E(x4681,x4682)+E(f167(x4683,x4681,x4684),f167(x4683,x4682,x4684)) % 169.26/169.11 [469]~E(x4691,x4692)+E(f167(x4693,x4694,x4691),f167(x4693,x4694,x4692)) % 169.26/169.11 [470]~E(x4701,x4702)+E(f116(x4701,x4703,x4704),f116(x4702,x4703,x4704)) % 169.26/169.11 [471]~E(x4711,x4712)+E(f116(x4713,x4711,x4714),f116(x4713,x4712,x4714)) % 169.26/169.11 [472]~E(x4721,x4722)+E(f116(x4723,x4724,x4721),f116(x4723,x4724,x4722)) % 169.26/169.11 [473]~E(x4731,x4732)+E(f577(x4731,x4733,x4734,x4735),f577(x4732,x4733,x4734,x4735)) % 169.26/169.11 [474]~E(x4741,x4742)+E(f577(x4743,x4741,x4744,x4745),f577(x4743,x4742,x4744,x4745)) % 169.26/169.11 [475]~E(x4751,x4752)+E(f577(x4753,x4754,x4751,x4755),f577(x4753,x4754,x4752,x4755)) % 169.26/169.11 [476]~E(x4761,x4762)+E(f577(x4763,x4764,x4765,x4761),f577(x4763,x4764,x4765,x4762)) % 169.26/169.11 [477]~E(x4771,x4772)+E(f49(x4771,x4773),f49(x4772,x4773)) % 169.26/169.11 [478]~E(x4781,x4782)+E(f49(x4783,x4781),f49(x4783,x4782)) % 169.26/169.11 [479]~E(x4791,x4792)+E(f711(x4791,x4793),f711(x4792,x4793)) % 169.26/169.11 [480]~E(x4801,x4802)+E(f711(x4803,x4801),f711(x4803,x4802)) % 169.26/169.11 [481]~E(x4811,x4812)+E(f248(x4811,x4813,x4814,x4815,x4816,x4817),f248(x4812,x4813,x4814,x4815,x4816,x4817)) % 169.26/169.11 [482]~E(x4821,x4822)+E(f248(x4823,x4821,x4824,x4825,x4826,x4827),f248(x4823,x4822,x4824,x4825,x4826,x4827)) % 169.26/169.11 [483]~E(x4831,x4832)+E(f248(x4833,x4834,x4831,x4835,x4836,x4837),f248(x4833,x4834,x4832,x4835,x4836,x4837)) % 169.26/169.11 [484]~E(x4841,x4842)+E(f248(x4843,x4844,x4845,x4841,x4846,x4847),f248(x4843,x4844,x4845,x4842,x4846,x4847)) % 169.26/169.11 [485]~E(x4851,x4852)+E(f248(x4853,x4854,x4855,x4856,x4851,x4857),f248(x4853,x4854,x4855,x4856,x4852,x4857)) % 169.26/169.11 [486]~E(x4861,x4862)+E(f248(x4863,x4864,x4865,x4866,x4867,x4861),f248(x4863,x4864,x4865,x4866,x4867,x4862)) % 169.26/169.11 [487]~E(x4871,x4872)+E(f455(x4871,x4873,x4874,x4875,x4876),f455(x4872,x4873,x4874,x4875,x4876)) % 169.26/169.11 [488]~E(x4881,x4882)+E(f455(x4883,x4881,x4884,x4885,x4886),f455(x4883,x4882,x4884,x4885,x4886)) % 169.26/169.11 [489]~E(x4891,x4892)+E(f455(x4893,x4894,x4891,x4895,x4896),f455(x4893,x4894,x4892,x4895,x4896)) % 169.26/169.11 [490]~E(x4901,x4902)+E(f455(x4903,x4904,x4905,x4901,x4906),f455(x4903,x4904,x4905,x4902,x4906)) % 169.26/169.11 [491]~E(x4911,x4912)+E(f455(x4913,x4914,x4915,x4916,x4911),f455(x4913,x4914,x4915,x4916,x4912)) % 169.26/169.11 [492]~E(x4921,x4922)+E(f304(x4921),f304(x4922)) % 169.26/169.11 [493]~E(x4931,x4932)+E(f640(x4931,x4933,x4934,x4935),f640(x4932,x4933,x4934,x4935)) % 169.26/169.11 [494]~E(x4941,x4942)+E(f640(x4943,x4941,x4944,x4945),f640(x4943,x4942,x4944,x4945)) % 169.26/169.11 [495]~E(x4951,x4952)+E(f640(x4953,x4954,x4951,x4955),f640(x4953,x4954,x4952,x4955)) % 169.26/169.11 [496]~E(x4961,x4962)+E(f640(x4963,x4964,x4965,x4961),f640(x4963,x4964,x4965,x4962)) % 169.26/169.11 [497]~E(x4971,x4972)+E(f69(x4971,x4973,x4974,x4975,x4976),f69(x4972,x4973,x4974,x4975,x4976)) % 169.26/169.11 [498]~E(x4981,x4982)+E(f69(x4983,x4981,x4984,x4985,x4986),f69(x4983,x4982,x4984,x4985,x4986)) % 169.26/169.11 [499]~E(x4991,x4992)+E(f69(x4993,x4994,x4991,x4995,x4996),f69(x4993,x4994,x4992,x4995,x4996)) % 169.26/169.11 [500]~E(x5001,x5002)+E(f69(x5003,x5004,x5005,x5001,x5006),f69(x5003,x5004,x5005,x5002,x5006)) % 169.26/169.11 [501]~E(x5011,x5012)+E(f69(x5013,x5014,x5015,x5016,x5011),f69(x5013,x5014,x5015,x5016,x5012)) % 169.26/169.11 [502]~E(x5021,x5022)+E(f188(x5021,x5023,x5024,x5025),f188(x5022,x5023,x5024,x5025)) % 169.26/169.11 [503]~E(x5031,x5032)+E(f188(x5033,x5031,x5034,x5035),f188(x5033,x5032,x5034,x5035)) % 169.26/169.11 [504]~E(x5041,x5042)+E(f188(x5043,x5044,x5041,x5045),f188(x5043,x5044,x5042,x5045)) % 169.26/169.11 [505]~E(x5051,x5052)+E(f188(x5053,x5054,x5055,x5051),f188(x5053,x5054,x5055,x5052)) % 169.26/169.11 [506]~E(x5061,x5062)+E(f80(x5061,x5063),f80(x5062,x5063)) % 169.26/169.11 [507]~E(x5071,x5072)+E(f80(x5073,x5071),f80(x5073,x5072)) % 169.26/169.11 [508]~E(x5081,x5082)+E(f452(x5081,x5083,x5084,x5085,x5086,x5087,x5088),f452(x5082,x5083,x5084,x5085,x5086,x5087,x5088)) % 169.26/169.11 [509]~E(x5091,x5092)+E(f452(x5093,x5091,x5094,x5095,x5096,x5097,x5098),f452(x5093,x5092,x5094,x5095,x5096,x5097,x5098)) % 169.26/169.11 [510]~E(x5101,x5102)+E(f452(x5103,x5104,x5101,x5105,x5106,x5107,x5108),f452(x5103,x5104,x5102,x5105,x5106,x5107,x5108)) % 169.26/169.11 [511]~E(x5111,x5112)+E(f452(x5113,x5114,x5115,x5111,x5116,x5117,x5118),f452(x5113,x5114,x5115,x5112,x5116,x5117,x5118)) % 169.26/169.11 [512]~E(x5121,x5122)+E(f452(x5123,x5124,x5125,x5126,x5121,x5127,x5128),f452(x5123,x5124,x5125,x5126,x5122,x5127,x5128)) % 169.26/169.11 [513]~E(x5131,x5132)+E(f452(x5133,x5134,x5135,x5136,x5137,x5131,x5138),f452(x5133,x5134,x5135,x5136,x5137,x5132,x5138)) % 169.26/169.11 [514]~E(x5141,x5142)+E(f452(x5143,x5144,x5145,x5146,x5147,x5148,x5141),f452(x5143,x5144,x5145,x5146,x5147,x5148,x5142)) % 169.26/169.11 [515]~E(x5151,x5152)+E(f131(x5151),f131(x5152)) % 169.26/169.11 [516]~E(x5161,x5162)+E(f594(x5161,x5163,x5164),f594(x5162,x5163,x5164)) % 169.26/169.11 [517]~E(x5171,x5172)+E(f594(x5173,x5171,x5174),f594(x5173,x5172,x5174)) % 169.26/169.11 [518]~E(x5181,x5182)+E(f594(x5183,x5184,x5181),f594(x5183,x5184,x5182)) % 169.26/169.11 [519]~E(x5191,x5192)+E(f816(x5191,x5193,x5194,x5195,x5196,x5197),f816(x5192,x5193,x5194,x5195,x5196,x5197)) % 169.26/169.11 [520]~E(x5201,x5202)+E(f816(x5203,x5201,x5204,x5205,x5206,x5207),f816(x5203,x5202,x5204,x5205,x5206,x5207)) % 169.26/169.11 [521]~E(x5211,x5212)+E(f816(x5213,x5214,x5211,x5215,x5216,x5217),f816(x5213,x5214,x5212,x5215,x5216,x5217)) % 169.26/169.11 [522]~E(x5221,x5222)+E(f816(x5223,x5224,x5225,x5221,x5226,x5227),f816(x5223,x5224,x5225,x5222,x5226,x5227)) % 169.26/169.11 [523]~E(x5231,x5232)+E(f816(x5233,x5234,x5235,x5236,x5231,x5237),f816(x5233,x5234,x5235,x5236,x5232,x5237)) % 169.26/169.11 [524]~E(x5241,x5242)+E(f816(x5243,x5244,x5245,x5246,x5247,x5241),f816(x5243,x5244,x5245,x5246,x5247,x5242)) % 169.26/169.11 [525]~E(x5251,x5252)+E(f272(x5251),f272(x5252)) % 169.26/169.11 [526]~E(x5261,x5262)+E(f732(x5261,x5263,x5264),f732(x5262,x5263,x5264)) % 169.26/169.11 [527]~E(x5271,x5272)+E(f732(x5273,x5271,x5274),f732(x5273,x5272,x5274)) % 169.26/169.11 [528]~E(x5281,x5282)+E(f732(x5283,x5284,x5281),f732(x5283,x5284,x5282)) % 169.26/169.11 [529]~E(x5291,x5292)+E(f892(x5291,x5293),f892(x5292,x5293)) % 169.26/169.11 [530]~E(x5301,x5302)+E(f892(x5303,x5301),f892(x5303,x5302)) % 169.26/169.11 [531]~E(x5311,x5312)+E(f843(x5311,x5313,x5314),f843(x5312,x5313,x5314)) % 169.26/169.11 [532]~E(x5321,x5322)+E(f843(x5323,x5321,x5324),f843(x5323,x5322,x5324)) % 169.26/169.11 [533]~E(x5331,x5332)+E(f843(x5333,x5334,x5331),f843(x5333,x5334,x5332)) % 169.26/169.11 [534]~E(x5341,x5342)+E(f287(x5341,x5343,x5344,x5345,x5346),f287(x5342,x5343,x5344,x5345,x5346)) % 169.26/169.11 [535]~E(x5351,x5352)+E(f287(x5353,x5351,x5354,x5355,x5356),f287(x5353,x5352,x5354,x5355,x5356)) % 169.26/169.11 [536]~E(x5361,x5362)+E(f287(x5363,x5364,x5361,x5365,x5366),f287(x5363,x5364,x5362,x5365,x5366)) % 169.26/169.11 [537]~E(x5371,x5372)+E(f287(x5373,x5374,x5375,x5371,x5376),f287(x5373,x5374,x5375,x5372,x5376)) % 169.26/169.11 [538]~E(x5381,x5382)+E(f287(x5383,x5384,x5385,x5386,x5381),f287(x5383,x5384,x5385,x5386,x5382)) % 169.26/169.11 [539]~E(x5391,x5392)+E(f137(x5391,x5393),f137(x5392,x5393)) % 169.26/169.11 [540]~E(x5401,x5402)+E(f137(x5403,x5401),f137(x5403,x5402)) % 169.26/169.11 [541]~E(x5411,x5412)+E(f400(x5411,x5413,x5414),f400(x5412,x5413,x5414)) % 169.26/169.11 [542]~E(x5421,x5422)+E(f400(x5423,x5421,x5424),f400(x5423,x5422,x5424)) % 169.26/169.11 [543]~E(x5431,x5432)+E(f400(x5433,x5434,x5431),f400(x5433,x5434,x5432)) % 169.26/169.11 [544]~E(x5441,x5442)+E(f764(x5441,x5443,x5444,x5445,x5446,x5447,x5448),f764(x5442,x5443,x5444,x5445,x5446,x5447,x5448)) % 169.26/169.11 [545]~E(x5451,x5452)+E(f764(x5453,x5451,x5454,x5455,x5456,x5457,x5458),f764(x5453,x5452,x5454,x5455,x5456,x5457,x5458)) % 169.26/169.11 [546]~E(x5461,x5462)+E(f764(x5463,x5464,x5461,x5465,x5466,x5467,x5468),f764(x5463,x5464,x5462,x5465,x5466,x5467,x5468)) % 169.26/169.11 [547]~E(x5471,x5472)+E(f764(x5473,x5474,x5475,x5471,x5476,x5477,x5478),f764(x5473,x5474,x5475,x5472,x5476,x5477,x5478)) % 169.26/169.11 [548]~E(x5481,x5482)+E(f764(x5483,x5484,x5485,x5486,x5481,x5487,x5488),f764(x5483,x5484,x5485,x5486,x5482,x5487,x5488)) % 169.26/169.11 [549]~E(x5491,x5492)+E(f764(x5493,x5494,x5495,x5496,x5497,x5491,x5498),f764(x5493,x5494,x5495,x5496,x5497,x5492,x5498)) % 169.26/169.11 [550]~E(x5501,x5502)+E(f764(x5503,x5504,x5505,x5506,x5507,x5508,x5501),f764(x5503,x5504,x5505,x5506,x5507,x5508,x5502)) % 169.26/169.11 [551]~E(x5511,x5512)+E(f615(x5511,x5513,x5514),f615(x5512,x5513,x5514)) % 169.26/169.11 [552]~E(x5521,x5522)+E(f615(x5523,x5521,x5524),f615(x5523,x5522,x5524)) % 169.26/169.11 [553]~E(x5531,x5532)+E(f615(x5533,x5534,x5531),f615(x5533,x5534,x5532)) % 169.26/169.11 [554]~E(x5541,x5542)+E(f522(x5541,x5543,x5544,x5545),f522(x5542,x5543,x5544,x5545)) % 169.26/169.11 [555]~E(x5551,x5552)+E(f522(x5553,x5551,x5554,x5555),f522(x5553,x5552,x5554,x5555)) % 169.26/169.11 [556]~E(x5561,x5562)+E(f522(x5563,x5564,x5561,x5565),f522(x5563,x5564,x5562,x5565)) % 169.26/169.11 [557]~E(x5571,x5572)+E(f522(x5573,x5574,x5575,x5571),f522(x5573,x5574,x5575,x5572)) % 169.26/169.11 [558]~E(x5581,x5582)+E(f337(x5581,x5583,x5584),f337(x5582,x5583,x5584)) % 169.26/169.11 [559]~E(x5591,x5592)+E(f337(x5593,x5591,x5594),f337(x5593,x5592,x5594)) % 169.26/169.11 [560]~E(x5601,x5602)+E(f337(x5603,x5604,x5601),f337(x5603,x5604,x5602)) % 169.26/169.11 [561]~E(x5611,x5612)+E(f880(x5611,x5613),f880(x5612,x5613)) % 169.26/169.11 [562]~E(x5621,x5622)+E(f880(x5623,x5621),f880(x5623,x5622)) % 169.26/169.11 [563]~E(x5631,x5632)+E(f595(x5631,x5633,x5634),f595(x5632,x5633,x5634)) % 169.26/169.11 [564]~E(x5641,x5642)+E(f595(x5643,x5641,x5644),f595(x5643,x5642,x5644)) % 169.26/169.11 [565]~E(x5651,x5652)+E(f595(x5653,x5654,x5651),f595(x5653,x5654,x5652)) % 169.26/169.11 [566]~E(x5661,x5662)+E(f682(x5661,x5663,x5664),f682(x5662,x5663,x5664)) % 169.26/169.11 [567]~E(x5671,x5672)+E(f682(x5673,x5671,x5674),f682(x5673,x5672,x5674)) % 169.26/169.11 [568]~E(x5681,x5682)+E(f682(x5683,x5684,x5681),f682(x5683,x5684,x5682)) % 169.26/169.11 [569]~E(x5691,x5692)+E(f828(x5691,x5693,x5694,x5695,x5696,x5697,x5698),f828(x5692,x5693,x5694,x5695,x5696,x5697,x5698)) % 169.26/169.11 [570]~E(x5701,x5702)+E(f828(x5703,x5701,x5704,x5705,x5706,x5707,x5708),f828(x5703,x5702,x5704,x5705,x5706,x5707,x5708)) % 169.26/169.11 [571]~E(x5711,x5712)+E(f828(x5713,x5714,x5711,x5715,x5716,x5717,x5718),f828(x5713,x5714,x5712,x5715,x5716,x5717,x5718)) % 169.26/169.11 [572]~E(x5721,x5722)+E(f828(x5723,x5724,x5725,x5721,x5726,x5727,x5728),f828(x5723,x5724,x5725,x5722,x5726,x5727,x5728)) % 169.26/169.11 [573]~E(x5731,x5732)+E(f828(x5733,x5734,x5735,x5736,x5731,x5737,x5738),f828(x5733,x5734,x5735,x5736,x5732,x5737,x5738)) % 169.26/169.11 [574]~E(x5741,x5742)+E(f828(x5743,x5744,x5745,x5746,x5747,x5741,x5748),f828(x5743,x5744,x5745,x5746,x5747,x5742,x5748)) % 169.26/169.11 [575]~E(x5751,x5752)+E(f828(x5753,x5754,x5755,x5756,x5757,x5758,x5751),f828(x5753,x5754,x5755,x5756,x5757,x5758,x5752)) % 169.26/169.11 [576]~E(x5761,x5762)+E(f588(x5761,x5763,x5764,x5765,x5766,x5767,x5768),f588(x5762,x5763,x5764,x5765,x5766,x5767,x5768)) % 169.26/169.11 [577]~E(x5771,x5772)+E(f588(x5773,x5771,x5774,x5775,x5776,x5777,x5778),f588(x5773,x5772,x5774,x5775,x5776,x5777,x5778)) % 169.26/169.11 [578]~E(x5781,x5782)+E(f588(x5783,x5784,x5781,x5785,x5786,x5787,x5788),f588(x5783,x5784,x5782,x5785,x5786,x5787,x5788)) % 169.26/169.11 [579]~E(x5791,x5792)+E(f588(x5793,x5794,x5795,x5791,x5796,x5797,x5798),f588(x5793,x5794,x5795,x5792,x5796,x5797,x5798)) % 169.26/169.11 [580]~E(x5801,x5802)+E(f588(x5803,x5804,x5805,x5806,x5801,x5807,x5808),f588(x5803,x5804,x5805,x5806,x5802,x5807,x5808)) % 169.26/169.11 [581]~E(x5811,x5812)+E(f588(x5813,x5814,x5815,x5816,x5817,x5811,x5818),f588(x5813,x5814,x5815,x5816,x5817,x5812,x5818)) % 169.26/169.11 [582]~E(x5821,x5822)+E(f588(x5823,x5824,x5825,x5826,x5827,x5828,x5821),f588(x5823,x5824,x5825,x5826,x5827,x5828,x5822)) % 169.26/169.11 [583]~E(x5831,x5832)+E(f343(x5831,x5833,x5834),f343(x5832,x5833,x5834)) % 169.26/169.11 [584]~E(x5841,x5842)+E(f343(x5843,x5841,x5844),f343(x5843,x5842,x5844)) % 169.26/169.11 [585]~E(x5851,x5852)+E(f343(x5853,x5854,x5851),f343(x5853,x5854,x5852)) % 169.26/169.11 [586]~E(x5861,x5862)+E(f245(x5861,x5863,x5864,x5865),f245(x5862,x5863,x5864,x5865)) % 169.26/169.11 [587]~E(x5871,x5872)+E(f245(x5873,x5871,x5874,x5875),f245(x5873,x5872,x5874,x5875)) % 169.26/169.11 [588]~E(x5881,x5882)+E(f245(x5883,x5884,x5881,x5885),f245(x5883,x5884,x5882,x5885)) % 169.26/169.11 [589]~E(x5891,x5892)+E(f245(x5893,x5894,x5895,x5891),f245(x5893,x5894,x5895,x5892)) % 169.26/169.11 [590]~E(x5901,x5902)+E(f734(x5901,x5903,x5904),f734(x5902,x5903,x5904)) % 169.26/169.11 [591]~E(x5911,x5912)+E(f734(x5913,x5911,x5914),f734(x5913,x5912,x5914)) % 169.26/169.11 [592]~E(x5921,x5922)+E(f734(x5923,x5924,x5921),f734(x5923,x5924,x5922)) % 169.26/169.11 [593]~E(x5931,x5932)+E(f704(x5931,x5933),f704(x5932,x5933)) % 169.26/169.11 [594]~E(x5941,x5942)+E(f704(x5943,x5941),f704(x5943,x5942)) % 169.26/169.11 [595]~E(x5951,x5952)+E(f12(x5951,x5953,x5954),f12(x5952,x5953,x5954)) % 169.26/169.11 [596]~E(x5961,x5962)+E(f12(x5963,x5961,x5964),f12(x5963,x5962,x5964)) % 169.26/169.11 [597]~E(x5971,x5972)+E(f12(x5973,x5974,x5971),f12(x5973,x5974,x5972)) % 169.26/169.11 [598]~E(x5981,x5982)+E(f326(x5981,x5983,x5984,x5985),f326(x5982,x5983,x5984,x5985)) % 169.26/169.11 [599]~E(x5991,x5992)+E(f326(x5993,x5991,x5994,x5995),f326(x5993,x5992,x5994,x5995)) % 169.26/169.11 [600]~E(x6001,x6002)+E(f326(x6003,x6004,x6001,x6005),f326(x6003,x6004,x6002,x6005)) % 169.26/169.11 [601]~E(x6011,x6012)+E(f326(x6013,x6014,x6015,x6011),f326(x6013,x6014,x6015,x6012)) % 169.26/169.11 [602]~E(x6021,x6022)+E(f325(x6021,x6023,x6024,x6025),f325(x6022,x6023,x6024,x6025)) % 169.26/169.11 [603]~E(x6031,x6032)+E(f325(x6033,x6031,x6034,x6035),f325(x6033,x6032,x6034,x6035)) % 169.26/169.11 [604]~E(x6041,x6042)+E(f325(x6043,x6044,x6041,x6045),f325(x6043,x6044,x6042,x6045)) % 169.26/169.11 [605]~E(x6051,x6052)+E(f325(x6053,x6054,x6055,x6051),f325(x6053,x6054,x6055,x6052)) % 169.26/169.11 [606]~E(x6061,x6062)+E(f725(x6061,x6063,x6064,x6065,x6066),f725(x6062,x6063,x6064,x6065,x6066)) % 169.26/169.11 [607]~E(x6071,x6072)+E(f725(x6073,x6071,x6074,x6075,x6076),f725(x6073,x6072,x6074,x6075,x6076)) % 169.26/169.11 [608]~E(x6081,x6082)+E(f725(x6083,x6084,x6081,x6085,x6086),f725(x6083,x6084,x6082,x6085,x6086)) % 169.26/169.11 [609]~E(x6091,x6092)+E(f725(x6093,x6094,x6095,x6091,x6096),f725(x6093,x6094,x6095,x6092,x6096)) % 169.26/169.11 [610]~E(x6101,x6102)+E(f725(x6103,x6104,x6105,x6106,x6101),f725(x6103,x6104,x6105,x6106,x6102)) % 169.26/169.11 [611]~E(x6111,x6112)+E(f642(x6111,x6113,x6114,x6115),f642(x6112,x6113,x6114,x6115)) % 169.26/169.11 [612]~E(x6121,x6122)+E(f642(x6123,x6121,x6124,x6125),f642(x6123,x6122,x6124,x6125)) % 169.26/169.11 [613]~E(x6131,x6132)+E(f642(x6133,x6134,x6131,x6135),f642(x6133,x6134,x6132,x6135)) % 169.26/169.11 [614]~E(x6141,x6142)+E(f642(x6143,x6144,x6145,x6141),f642(x6143,x6144,x6145,x6142)) % 169.26/169.11 [615]~E(x6151,x6152)+E(f260(x6151,x6153),f260(x6152,x6153)) % 169.26/169.11 [616]~E(x6161,x6162)+E(f260(x6163,x6161),f260(x6163,x6162)) % 169.26/169.11 [617]~E(x6171,x6172)+E(f383(x6171,x6173),f383(x6172,x6173)) % 169.26/169.11 [618]~E(x6181,x6182)+E(f383(x6183,x6181),f383(x6183,x6182)) % 169.26/169.11 [619]~E(x6191,x6192)+E(f619(x6191,x6193,x6194,x6195,x6196),f619(x6192,x6193,x6194,x6195,x6196)) % 169.26/169.11 [620]~E(x6201,x6202)+E(f619(x6203,x6201,x6204,x6205,x6206),f619(x6203,x6202,x6204,x6205,x6206)) % 169.26/169.11 [621]~E(x6211,x6212)+E(f619(x6213,x6214,x6211,x6215,x6216),f619(x6213,x6214,x6212,x6215,x6216)) % 169.26/169.11 [622]~E(x6221,x6222)+E(f619(x6223,x6224,x6225,x6221,x6226),f619(x6223,x6224,x6225,x6222,x6226)) % 169.26/169.11 [623]~E(x6231,x6232)+E(f619(x6233,x6234,x6235,x6236,x6231),f619(x6233,x6234,x6235,x6236,x6232)) % 169.26/169.11 [624]~E(x6241,x6242)+E(f295(x6241,x6243,x6244),f295(x6242,x6243,x6244)) % 169.26/169.11 [625]~E(x6251,x6252)+E(f295(x6253,x6251,x6254),f295(x6253,x6252,x6254)) % 169.26/169.11 [626]~E(x6261,x6262)+E(f295(x6263,x6264,x6261),f295(x6263,x6264,x6262)) % 169.26/169.11 [627]~E(x6271,x6272)+E(f153(x6271,x6273,x6274,x6275),f153(x6272,x6273,x6274,x6275)) % 169.26/169.11 [628]~E(x6281,x6282)+E(f153(x6283,x6281,x6284,x6285),f153(x6283,x6282,x6284,x6285)) % 169.26/169.11 [629]~E(x6291,x6292)+E(f153(x6293,x6294,x6291,x6295),f153(x6293,x6294,x6292,x6295)) % 169.26/169.11 [630]~E(x6301,x6302)+E(f153(x6303,x6304,x6305,x6301),f153(x6303,x6304,x6305,x6302)) % 169.26/169.11 [631]~E(x6311,x6312)+E(f449(x6311,x6313,x6314,x6315,x6316,x6317,x6318),f449(x6312,x6313,x6314,x6315,x6316,x6317,x6318)) % 169.26/169.11 [632]~E(x6321,x6322)+E(f449(x6323,x6321,x6324,x6325,x6326,x6327,x6328),f449(x6323,x6322,x6324,x6325,x6326,x6327,x6328)) % 169.26/169.11 [633]~E(x6331,x6332)+E(f449(x6333,x6334,x6331,x6335,x6336,x6337,x6338),f449(x6333,x6334,x6332,x6335,x6336,x6337,x6338)) % 169.26/169.11 [634]~E(x6341,x6342)+E(f449(x6343,x6344,x6345,x6341,x6346,x6347,x6348),f449(x6343,x6344,x6345,x6342,x6346,x6347,x6348)) % 169.26/169.11 [635]~E(x6351,x6352)+E(f449(x6353,x6354,x6355,x6356,x6351,x6357,x6358),f449(x6353,x6354,x6355,x6356,x6352,x6357,x6358)) % 169.26/169.11 [636]~E(x6361,x6362)+E(f449(x6363,x6364,x6365,x6366,x6367,x6361,x6368),f449(x6363,x6364,x6365,x6366,x6367,x6362,x6368)) % 169.26/169.11 [637]~E(x6371,x6372)+E(f449(x6373,x6374,x6375,x6376,x6377,x6378,x6371),f449(x6373,x6374,x6375,x6376,x6377,x6378,x6372)) % 169.26/169.11 [638]~E(x6381,x6382)+E(f156(x6381,x6383,x6384),f156(x6382,x6383,x6384)) % 169.26/169.11 [639]~E(x6391,x6392)+E(f156(x6393,x6391,x6394),f156(x6393,x6392,x6394)) % 169.26/169.11 [640]~E(x6401,x6402)+E(f156(x6403,x6404,x6401),f156(x6403,x6404,x6402)) % 169.26/169.11 [641]~E(x6411,x6412)+E(f693(x6411,x6413,x6414,x6415,x6416),f693(x6412,x6413,x6414,x6415,x6416)) % 169.26/169.11 [642]~E(x6421,x6422)+E(f693(x6423,x6421,x6424,x6425,x6426),f693(x6423,x6422,x6424,x6425,x6426)) % 169.26/169.11 [643]~E(x6431,x6432)+E(f693(x6433,x6434,x6431,x6435,x6436),f693(x6433,x6434,x6432,x6435,x6436)) % 169.26/169.11 [644]~E(x6441,x6442)+E(f693(x6443,x6444,x6445,x6441,x6446),f693(x6443,x6444,x6445,x6442,x6446)) % 169.26/169.11 [645]~E(x6451,x6452)+E(f693(x6453,x6454,x6455,x6456,x6451),f693(x6453,x6454,x6455,x6456,x6452)) % 169.26/169.11 [646]~E(x6461,x6462)+E(f862(x6461,x6463,x6464),f862(x6462,x6463,x6464)) % 169.26/169.11 [647]~E(x6471,x6472)+E(f862(x6473,x6471,x6474),f862(x6473,x6472,x6474)) % 169.26/169.11 [648]~E(x6481,x6482)+E(f862(x6483,x6484,x6481),f862(x6483,x6484,x6482)) % 169.26/169.11 [649]~E(x6491,x6492)+E(f268(x6491),f268(x6492)) % 169.26/169.11 [650]~E(x6501,x6502)+E(f564(x6501,x6503,x6504,x6505,x6506),f564(x6502,x6503,x6504,x6505,x6506)) % 169.26/169.11 [651]~E(x6511,x6512)+E(f564(x6513,x6511,x6514,x6515,x6516),f564(x6513,x6512,x6514,x6515,x6516)) % 169.26/169.11 [652]~E(x6521,x6522)+E(f564(x6523,x6524,x6521,x6525,x6526),f564(x6523,x6524,x6522,x6525,x6526)) % 169.26/169.11 [653]~E(x6531,x6532)+E(f564(x6533,x6534,x6535,x6531,x6536),f564(x6533,x6534,x6535,x6532,x6536)) % 169.26/169.11 [654]~E(x6541,x6542)+E(f564(x6543,x6544,x6545,x6546,x6541),f564(x6543,x6544,x6545,x6546,x6542)) % 169.26/169.11 [655]~E(x6551,x6552)+E(f573(x6551,x6553,x6554,x6555,x6556),f573(x6552,x6553,x6554,x6555,x6556)) % 169.26/169.11 [656]~E(x6561,x6562)+E(f573(x6563,x6561,x6564,x6565,x6566),f573(x6563,x6562,x6564,x6565,x6566)) % 169.26/169.11 [657]~E(x6571,x6572)+E(f573(x6573,x6574,x6571,x6575,x6576),f573(x6573,x6574,x6572,x6575,x6576)) % 169.26/169.11 [658]~E(x6581,x6582)+E(f573(x6583,x6584,x6585,x6581,x6586),f573(x6583,x6584,x6585,x6582,x6586)) % 169.26/169.11 [659]~E(x6591,x6592)+E(f573(x6593,x6594,x6595,x6596,x6591),f573(x6593,x6594,x6595,x6596,x6592)) % 169.26/169.11 [660]~E(x6601,x6602)+E(f526(x6601,x6603,x6604,x6605,x6606,x6607),f526(x6602,x6603,x6604,x6605,x6606,x6607)) % 169.26/169.11 [661]~E(x6611,x6612)+E(f526(x6613,x6611,x6614,x6615,x6616,x6617),f526(x6613,x6612,x6614,x6615,x6616,x6617)) % 169.26/169.11 [662]~E(x6621,x6622)+E(f526(x6623,x6624,x6621,x6625,x6626,x6627),f526(x6623,x6624,x6622,x6625,x6626,x6627)) % 169.26/169.11 [663]~E(x6631,x6632)+E(f526(x6633,x6634,x6635,x6631,x6636,x6637),f526(x6633,x6634,x6635,x6632,x6636,x6637)) % 169.26/169.11 [664]~E(x6641,x6642)+E(f526(x6643,x6644,x6645,x6646,x6641,x6647),f526(x6643,x6644,x6645,x6646,x6642,x6647)) % 169.26/169.11 [665]~E(x6651,x6652)+E(f526(x6653,x6654,x6655,x6656,x6657,x6651),f526(x6653,x6654,x6655,x6656,x6657,x6652)) % 169.26/169.11 [666]~E(x6661,x6662)+E(f240(x6661,x6663,x6664),f240(x6662,x6663,x6664)) % 169.26/169.11 [667]~E(x6671,x6672)+E(f240(x6673,x6671,x6674),f240(x6673,x6672,x6674)) % 169.26/169.11 [668]~E(x6681,x6682)+E(f240(x6683,x6684,x6681),f240(x6683,x6684,x6682)) % 169.26/169.11 [669]~E(x6691,x6692)+E(f575(x6691,x6693,x6694,x6695,x6696),f575(x6692,x6693,x6694,x6695,x6696)) % 169.26/169.11 [670]~E(x6701,x6702)+E(f575(x6703,x6701,x6704,x6705,x6706),f575(x6703,x6702,x6704,x6705,x6706)) % 169.26/169.11 [671]~E(x6711,x6712)+E(f575(x6713,x6714,x6711,x6715,x6716),f575(x6713,x6714,x6712,x6715,x6716)) % 169.26/169.11 [672]~E(x6721,x6722)+E(f575(x6723,x6724,x6725,x6721,x6726),f575(x6723,x6724,x6725,x6722,x6726)) % 169.26/169.11 [673]~E(x6731,x6732)+E(f575(x6733,x6734,x6735,x6736,x6731),f575(x6733,x6734,x6735,x6736,x6732)) % 169.26/169.11 [674]~E(x6741,x6742)+E(f45(x6741,x6743),f45(x6742,x6743)) % 169.26/169.11 [675]~E(x6751,x6752)+E(f45(x6753,x6751),f45(x6753,x6752)) % 169.26/169.11 [676]~E(x6761,x6762)+E(f345(x6761,x6763,x6764),f345(x6762,x6763,x6764)) % 169.26/169.11 [677]~E(x6771,x6772)+E(f345(x6773,x6771,x6774),f345(x6773,x6772,x6774)) % 169.26/169.11 [678]~E(x6781,x6782)+E(f345(x6783,x6784,x6781),f345(x6783,x6784,x6782)) % 169.26/169.11 [679]~E(x6791,x6792)+E(f61(x6791,x6793,x6794),f61(x6792,x6793,x6794)) % 169.26/169.11 [680]~E(x6801,x6802)+E(f61(x6803,x6801,x6804),f61(x6803,x6802,x6804)) % 169.26/169.11 [681]~E(x6811,x6812)+E(f61(x6813,x6814,x6811),f61(x6813,x6814,x6812)) % 169.26/169.11 [682]~E(x6821,x6822)+E(f44(x6821,x6823),f44(x6822,x6823)) % 169.26/169.11 [683]~E(x6831,x6832)+E(f44(x6833,x6831),f44(x6833,x6832)) % 169.26/169.11 [684]~E(x6841,x6842)+E(f280(x6841,x6843,x6844,x6845),f280(x6842,x6843,x6844,x6845)) % 169.26/169.11 [685]~E(x6851,x6852)+E(f280(x6853,x6851,x6854,x6855),f280(x6853,x6852,x6854,x6855)) % 169.26/169.11 [686]~E(x6861,x6862)+E(f280(x6863,x6864,x6861,x6865),f280(x6863,x6864,x6862,x6865)) % 169.26/169.11 [687]~E(x6871,x6872)+E(f280(x6873,x6874,x6875,x6871),f280(x6873,x6874,x6875,x6872)) % 169.26/169.11 [688]~E(x6881,x6882)+E(f883(x6881,x6883,x6884),f883(x6882,x6883,x6884)) % 169.26/169.11 [689]~E(x6891,x6892)+E(f883(x6893,x6891,x6894),f883(x6893,x6892,x6894)) % 169.26/169.11 [690]~E(x6901,x6902)+E(f883(x6903,x6904,x6901),f883(x6903,x6904,x6902)) % 169.26/169.11 [691]~E(x6911,x6912)+E(f582(x6911,x6913,x6914,x6915,x6916),f582(x6912,x6913,x6914,x6915,x6916)) % 169.26/169.11 [692]~E(x6921,x6922)+E(f582(x6923,x6921,x6924,x6925,x6926),f582(x6923,x6922,x6924,x6925,x6926)) % 169.26/169.11 [693]~E(x6931,x6932)+E(f582(x6933,x6934,x6931,x6935,x6936),f582(x6933,x6934,x6932,x6935,x6936)) % 169.26/169.11 [694]~E(x6941,x6942)+E(f582(x6943,x6944,x6945,x6941,x6946),f582(x6943,x6944,x6945,x6942,x6946)) % 169.26/169.11 [695]~E(x6951,x6952)+E(f582(x6953,x6954,x6955,x6956,x6951),f582(x6953,x6954,x6955,x6956,x6952)) % 169.26/169.11 [696]~E(x6961,x6962)+E(f468(x6961,x6963,x6964),f468(x6962,x6963,x6964)) % 169.26/169.11 [697]~E(x6971,x6972)+E(f468(x6973,x6971,x6974),f468(x6973,x6972,x6974)) % 169.26/169.11 [698]~E(x6981,x6982)+E(f468(x6983,x6984,x6981),f468(x6983,x6984,x6982)) % 169.26/169.11 [699]~E(x6991,x6992)+E(f888(x6991,x6993,x6994),f888(x6992,x6993,x6994)) % 169.26/169.11 [700]~E(x7001,x7002)+E(f888(x7003,x7001,x7004),f888(x7003,x7002,x7004)) % 169.26/169.11 [701]~E(x7011,x7012)+E(f888(x7013,x7014,x7011),f888(x7013,x7014,x7012)) % 169.26/169.11 [702]~E(x7021,x7022)+E(f139(x7021,x7023,x7024,x7025,x7026),f139(x7022,x7023,x7024,x7025,x7026)) % 169.26/169.11 [703]~E(x7031,x7032)+E(f139(x7033,x7031,x7034,x7035,x7036),f139(x7033,x7032,x7034,x7035,x7036)) % 169.26/169.11 [704]~E(x7041,x7042)+E(f139(x7043,x7044,x7041,x7045,x7046),f139(x7043,x7044,x7042,x7045,x7046)) % 169.26/169.11 [705]~E(x7051,x7052)+E(f139(x7053,x7054,x7055,x7051,x7056),f139(x7053,x7054,x7055,x7052,x7056)) % 169.26/169.11 [706]~E(x7061,x7062)+E(f139(x7063,x7064,x7065,x7066,x7061),f139(x7063,x7064,x7065,x7066,x7062)) % 169.26/169.11 [707]~E(x7071,x7072)+E(f19(x7071,x7073,x7074,x7075),f19(x7072,x7073,x7074,x7075)) % 169.26/169.11 [708]~E(x7081,x7082)+E(f19(x7083,x7081,x7084,x7085),f19(x7083,x7082,x7084,x7085)) % 169.26/169.11 [709]~E(x7091,x7092)+E(f19(x7093,x7094,x7091,x7095),f19(x7093,x7094,x7092,x7095)) % 169.26/169.11 [710]~E(x7101,x7102)+E(f19(x7103,x7104,x7105,x7101),f19(x7103,x7104,x7105,x7102)) % 169.26/169.11 [711]~E(x7111,x7112)+E(f175(x7111,x7113,x7114,x7115),f175(x7112,x7113,x7114,x7115)) % 169.26/169.11 [712]~E(x7121,x7122)+E(f175(x7123,x7121,x7124,x7125),f175(x7123,x7122,x7124,x7125)) % 169.26/169.11 [713]~E(x7131,x7132)+E(f175(x7133,x7134,x7131,x7135),f175(x7133,x7134,x7132,x7135)) % 169.26/169.11 [714]~E(x7141,x7142)+E(f175(x7143,x7144,x7145,x7141),f175(x7143,x7144,x7145,x7142)) % 169.26/169.11 [715]~E(x7151,x7152)+E(f68(x7151,x7153),f68(x7152,x7153)) % 169.26/169.11 [716]~E(x7161,x7162)+E(f68(x7163,x7161),f68(x7163,x7162)) % 169.26/169.11 [717]~E(x7171,x7172)+E(f71(x7171,x7173,x7174,x7175),f71(x7172,x7173,x7174,x7175)) % 169.26/169.11 [718]~E(x7181,x7182)+E(f71(x7183,x7181,x7184,x7185),f71(x7183,x7182,x7184,x7185)) % 169.26/169.11 [719]~E(x7191,x7192)+E(f71(x7193,x7194,x7191,x7195),f71(x7193,x7194,x7192,x7195)) % 169.26/169.11 [720]~E(x7201,x7202)+E(f71(x7203,x7204,x7205,x7201),f71(x7203,x7204,x7205,x7202)) % 169.26/169.11 [721]~E(x7211,x7212)+E(f457(x7211,x7213,x7214),f457(x7212,x7213,x7214)) % 169.26/169.11 [722]~E(x7221,x7222)+E(f457(x7223,x7221,x7224),f457(x7223,x7222,x7224)) % 169.26/169.11 [723]~E(x7231,x7232)+E(f457(x7233,x7234,x7231),f457(x7233,x7234,x7232)) % 169.26/169.11 [724]~E(x7241,x7242)+E(f794(x7241,x7243,x7244,x7245,x7246,x7247),f794(x7242,x7243,x7244,x7245,x7246,x7247)) % 169.26/169.11 [725]~E(x7251,x7252)+E(f794(x7253,x7251,x7254,x7255,x7256,x7257),f794(x7253,x7252,x7254,x7255,x7256,x7257)) % 169.26/169.11 [726]~E(x7261,x7262)+E(f794(x7263,x7264,x7261,x7265,x7266,x7267),f794(x7263,x7264,x7262,x7265,x7266,x7267)) % 169.26/169.11 [727]~E(x7271,x7272)+E(f794(x7273,x7274,x7275,x7271,x7276,x7277),f794(x7273,x7274,x7275,x7272,x7276,x7277)) % 169.26/169.11 [728]~E(x7281,x7282)+E(f794(x7283,x7284,x7285,x7286,x7281,x7287),f794(x7283,x7284,x7285,x7286,x7282,x7287)) % 169.26/169.11 [729]~E(x7291,x7292)+E(f794(x7293,x7294,x7295,x7296,x7297,x7291),f794(x7293,x7294,x7295,x7296,x7297,x7292)) % 169.26/169.11 [730]~E(x7301,x7302)+E(f121(x7301,x7303,x7304,x7305),f121(x7302,x7303,x7304,x7305)) % 169.26/169.11 [731]~E(x7311,x7312)+E(f121(x7313,x7311,x7314,x7315),f121(x7313,x7312,x7314,x7315)) % 169.26/169.11 [732]~E(x7321,x7322)+E(f121(x7323,x7324,x7321,x7325),f121(x7323,x7324,x7322,x7325)) % 169.26/169.11 [733]~E(x7331,x7332)+E(f121(x7333,x7334,x7335,x7331),f121(x7333,x7334,x7335,x7332)) % 169.26/169.11 [734]~E(x7341,x7342)+E(f447(x7341,x7343,x7344,x7345,x7346,x7347,x7348),f447(x7342,x7343,x7344,x7345,x7346,x7347,x7348)) % 169.26/169.11 [735]~E(x7351,x7352)+E(f447(x7353,x7351,x7354,x7355,x7356,x7357,x7358),f447(x7353,x7352,x7354,x7355,x7356,x7357,x7358)) % 169.26/169.11 [736]~E(x7361,x7362)+E(f447(x7363,x7364,x7361,x7365,x7366,x7367,x7368),f447(x7363,x7364,x7362,x7365,x7366,x7367,x7368)) % 169.26/169.11 [737]~E(x7371,x7372)+E(f447(x7373,x7374,x7375,x7371,x7376,x7377,x7378),f447(x7373,x7374,x7375,x7372,x7376,x7377,x7378)) % 169.26/169.11 [738]~E(x7381,x7382)+E(f447(x7383,x7384,x7385,x7386,x7381,x7387,x7388),f447(x7383,x7384,x7385,x7386,x7382,x7387,x7388)) % 169.26/169.11 [739]~E(x7391,x7392)+E(f447(x7393,x7394,x7395,x7396,x7397,x7391,x7398),f447(x7393,x7394,x7395,x7396,x7397,x7392,x7398)) % 169.26/169.11 [740]~E(x7401,x7402)+E(f447(x7403,x7404,x7405,x7406,x7407,x7408,x7401),f447(x7403,x7404,x7405,x7406,x7407,x7408,x7402)) % 169.26/169.11 [741]~E(x7411,x7412)+E(f856(x7411,x7413,x7414),f856(x7412,x7413,x7414)) % 169.26/169.11 [742]~E(x7421,x7422)+E(f856(x7423,x7421,x7424),f856(x7423,x7422,x7424)) % 169.26/169.11 [743]~E(x7431,x7432)+E(f856(x7433,x7434,x7431),f856(x7433,x7434,x7432)) % 169.26/169.11 [744]~E(x7441,x7442)+E(f174(x7441,x7443,x7444),f174(x7442,x7443,x7444)) % 169.26/169.11 [745]~E(x7451,x7452)+E(f174(x7453,x7451,x7454),f174(x7453,x7452,x7454)) % 169.26/169.11 [746]~E(x7461,x7462)+E(f174(x7463,x7464,x7461),f174(x7463,x7464,x7462)) % 169.26/169.11 [747]~E(x7471,x7472)+E(f340(x7471,x7473,x7474),f340(x7472,x7473,x7474)) % 169.26/169.11 [748]~E(x7481,x7482)+E(f340(x7483,x7481,x7484),f340(x7483,x7482,x7484)) % 169.26/169.11 [749]~E(x7491,x7492)+E(f340(x7493,x7494,x7491),f340(x7493,x7494,x7492)) % 169.26/169.11 [750]~E(x7501,x7502)+E(f130(x7501,x7503,x7504),f130(x7502,x7503,x7504)) % 169.26/169.11 [751]~E(x7511,x7512)+E(f130(x7513,x7511,x7514),f130(x7513,x7512,x7514)) % 169.26/169.11 [752]~E(x7521,x7522)+E(f130(x7523,x7524,x7521),f130(x7523,x7524,x7522)) % 169.26/169.11 [753]~E(x7531,x7532)+E(f469(x7531,x7533,x7534),f469(x7532,x7533,x7534)) % 169.26/169.11 [754]~E(x7541,x7542)+E(f469(x7543,x7541,x7544),f469(x7543,x7542,x7544)) % 169.26/169.11 [755]~E(x7551,x7552)+E(f469(x7553,x7554,x7551),f469(x7553,x7554,x7552)) % 169.26/169.11 [756]~E(x7561,x7562)+E(f431(x7561,x7563,x7564),f431(x7562,x7563,x7564)) % 169.26/169.11 [757]~E(x7571,x7572)+E(f431(x7573,x7571,x7574),f431(x7573,x7572,x7574)) % 169.26/169.11 [758]~E(x7581,x7582)+E(f431(x7583,x7584,x7581),f431(x7583,x7584,x7582)) % 169.26/169.11 [759]~E(x7591,x7592)+E(f250(x7591,x7593,x7594,x7595,x7596),f250(x7592,x7593,x7594,x7595,x7596)) % 169.26/169.11 [760]~E(x7601,x7602)+E(f250(x7603,x7601,x7604,x7605,x7606),f250(x7603,x7602,x7604,x7605,x7606)) % 169.26/169.11 [761]~E(x7611,x7612)+E(f250(x7613,x7614,x7611,x7615,x7616),f250(x7613,x7614,x7612,x7615,x7616)) % 169.26/169.11 [762]~E(x7621,x7622)+E(f250(x7623,x7624,x7625,x7621,x7626),f250(x7623,x7624,x7625,x7622,x7626)) % 169.26/169.11 [763]~E(x7631,x7632)+E(f250(x7633,x7634,x7635,x7636,x7631),f250(x7633,x7634,x7635,x7636,x7632)) % 169.26/169.11 [764]~E(x7641,x7642)+E(f855(x7641,x7643,x7644),f855(x7642,x7643,x7644)) % 169.26/169.11 [765]~E(x7651,x7652)+E(f855(x7653,x7651,x7654),f855(x7653,x7652,x7654)) % 169.26/169.11 [766]~E(x7661,x7662)+E(f855(x7663,x7664,x7661),f855(x7663,x7664,x7662)) % 169.26/169.11 [767]~E(x7671,x7672)+E(f786(x7671),f786(x7672)) % 169.26/169.11 [768]~E(x7681,x7682)+E(f460(x7681),f460(x7682)) % 169.26/169.11 [769]~E(x7691,x7692)+E(f534(x7691,x7693,x7694),f534(x7692,x7693,x7694)) % 169.26/169.11 [770]~E(x7701,x7702)+E(f534(x7703,x7701,x7704),f534(x7703,x7702,x7704)) % 169.26/169.11 [771]~E(x7711,x7712)+E(f534(x7713,x7714,x7711),f534(x7713,x7714,x7712)) % 169.26/169.11 [772]~E(x7721,x7722)+E(f842(x7721,x7723,x7724),f842(x7722,x7723,x7724)) % 169.26/169.11 [773]~E(x7731,x7732)+E(f842(x7733,x7731,x7734),f842(x7733,x7732,x7734)) % 169.26/169.11 [774]~E(x7741,x7742)+E(f842(x7743,x7744,x7741),f842(x7743,x7744,x7742)) % 169.26/169.11 [775]~E(x7751,x7752)+E(f38(x7751),f38(x7752)) % 169.26/169.11 [776]~E(x7761,x7762)+E(f327(x7761,x7763,x7764,x7765),f327(x7762,x7763,x7764,x7765)) % 169.26/169.11 [777]~E(x7771,x7772)+E(f327(x7773,x7771,x7774,x7775),f327(x7773,x7772,x7774,x7775)) % 169.26/169.11 [778]~E(x7781,x7782)+E(f327(x7783,x7784,x7781,x7785),f327(x7783,x7784,x7782,x7785)) % 169.26/169.11 [779]~E(x7791,x7792)+E(f327(x7793,x7794,x7795,x7791),f327(x7793,x7794,x7795,x7792)) % 169.26/169.11 [780]~E(x7801,x7802)+E(f289(x7801,x7803,x7804,x7805),f289(x7802,x7803,x7804,x7805)) % 169.26/169.11 [781]~E(x7811,x7812)+E(f289(x7813,x7811,x7814,x7815),f289(x7813,x7812,x7814,x7815)) % 169.26/169.11 [782]~E(x7821,x7822)+E(f289(x7823,x7824,x7821,x7825),f289(x7823,x7824,x7822,x7825)) % 169.26/169.11 [783]~E(x7831,x7832)+E(f289(x7833,x7834,x7835,x7831),f289(x7833,x7834,x7835,x7832)) % 169.26/169.11 [784]~E(x7841,x7842)+E(f298(x7841),f298(x7842)) % 169.26/169.11 [785]~E(x7851,x7852)+E(f17(x7851,x7853,x7854,x7855),f17(x7852,x7853,x7854,x7855)) % 169.26/169.11 [786]~E(x7861,x7862)+E(f17(x7863,x7861,x7864,x7865),f17(x7863,x7862,x7864,x7865)) % 169.26/169.11 [787]~E(x7871,x7872)+E(f17(x7873,x7874,x7871,x7875),f17(x7873,x7874,x7872,x7875)) % 169.26/169.11 [788]~E(x7881,x7882)+E(f17(x7883,x7884,x7885,x7881),f17(x7883,x7884,x7885,x7882)) % 169.26/169.11 [789]~E(x7891,x7892)+E(f768(x7891,x7893),f768(x7892,x7893)) % 169.26/169.11 [790]~E(x7901,x7902)+E(f768(x7903,x7901),f768(x7903,x7902)) % 169.26/169.11 [791]~E(x7911,x7912)+E(f187(x7911,x7913,x7914,x7915),f187(x7912,x7913,x7914,x7915)) % 169.26/169.11 [792]~E(x7921,x7922)+E(f187(x7923,x7921,x7924,x7925),f187(x7923,x7922,x7924,x7925)) % 169.26/169.11 [793]~E(x7931,x7932)+E(f187(x7933,x7934,x7931,x7935),f187(x7933,x7934,x7932,x7935)) % 169.26/169.11 [794]~E(x7941,x7942)+E(f187(x7943,x7944,x7945,x7941),f187(x7943,x7944,x7945,x7942)) % 169.26/169.11 [795]~E(x7951,x7952)+E(f536(x7951,x7953),f536(x7952,x7953)) % 169.26/169.11 [796]~E(x7961,x7962)+E(f536(x7963,x7961),f536(x7963,x7962)) % 169.26/169.11 [797]~E(x7971,x7972)+E(f866(x7971,x7973,x7974),f866(x7972,x7973,x7974)) % 169.26/169.11 [798]~E(x7981,x7982)+E(f866(x7983,x7981,x7984),f866(x7983,x7982,x7984)) % 169.26/169.11 [799]~E(x7991,x7992)+E(f866(x7993,x7994,x7991),f866(x7993,x7994,x7992)) % 169.26/169.11 [800]~E(x8001,x8002)+E(f448(x8001,x8003,x8004,x8005,x8006,x8007,x8008),f448(x8002,x8003,x8004,x8005,x8006,x8007,x8008)) % 169.26/169.11 [801]~E(x8011,x8012)+E(f448(x8013,x8011,x8014,x8015,x8016,x8017,x8018),f448(x8013,x8012,x8014,x8015,x8016,x8017,x8018)) % 169.26/169.11 [802]~E(x8021,x8022)+E(f448(x8023,x8024,x8021,x8025,x8026,x8027,x8028),f448(x8023,x8024,x8022,x8025,x8026,x8027,x8028)) % 169.26/169.11 [803]~E(x8031,x8032)+E(f448(x8033,x8034,x8035,x8031,x8036,x8037,x8038),f448(x8033,x8034,x8035,x8032,x8036,x8037,x8038)) % 169.26/169.11 [804]~E(x8041,x8042)+E(f448(x8043,x8044,x8045,x8046,x8041,x8047,x8048),f448(x8043,x8044,x8045,x8046,x8042,x8047,x8048)) % 169.26/169.11 [805]~E(x8051,x8052)+E(f448(x8053,x8054,x8055,x8056,x8057,x8051,x8058),f448(x8053,x8054,x8055,x8056,x8057,x8052,x8058)) % 169.26/169.11 [806]~E(x8061,x8062)+E(f448(x8063,x8064,x8065,x8066,x8067,x8068,x8061),f448(x8063,x8064,x8065,x8066,x8067,x8068,x8062)) % 169.26/169.11 [807]~E(x8071,x8072)+E(f688(x8071,x8073),f688(x8072,x8073)) % 169.26/169.11 [808]~E(x8081,x8082)+E(f688(x8083,x8081),f688(x8083,x8082)) % 169.26/169.11 [809]~E(x8091,x8092)+E(f810(x8091,x8093,x8094,x8095),f810(x8092,x8093,x8094,x8095)) % 169.26/169.11 [810]~E(x8101,x8102)+E(f810(x8103,x8101,x8104,x8105),f810(x8103,x8102,x8104,x8105)) % 169.26/169.11 [811]~E(x8111,x8112)+E(f810(x8113,x8114,x8111,x8115),f810(x8113,x8114,x8112,x8115)) % 169.26/169.11 [812]~E(x8121,x8122)+E(f810(x8123,x8124,x8125,x8121),f810(x8123,x8124,x8125,x8122)) % 169.26/169.11 [813]~E(x8131,x8132)+E(f220(x8131,x8133,x8134),f220(x8132,x8133,x8134)) % 169.26/169.11 [814]~E(x8141,x8142)+E(f220(x8143,x8141,x8144),f220(x8143,x8142,x8144)) % 169.26/169.11 [815]~E(x8151,x8152)+E(f220(x8153,x8154,x8151),f220(x8153,x8154,x8152)) % 169.26/169.11 [816]~E(x8161,x8162)+E(f837(x8161,x8163,x8164,x8165,x8166,x8167,x8168),f837(x8162,x8163,x8164,x8165,x8166,x8167,x8168)) % 169.26/169.11 [817]~E(x8171,x8172)+E(f837(x8173,x8171,x8174,x8175,x8176,x8177,x8178),f837(x8173,x8172,x8174,x8175,x8176,x8177,x8178)) % 169.26/169.11 [818]~E(x8181,x8182)+E(f837(x8183,x8184,x8181,x8185,x8186,x8187,x8188),f837(x8183,x8184,x8182,x8185,x8186,x8187,x8188)) % 169.26/169.11 [819]~E(x8191,x8192)+E(f837(x8193,x8194,x8195,x8191,x8196,x8197,x8198),f837(x8193,x8194,x8195,x8192,x8196,x8197,x8198)) % 169.26/169.11 [820]~E(x8201,x8202)+E(f837(x8203,x8204,x8205,x8206,x8201,x8207,x8208),f837(x8203,x8204,x8205,x8206,x8202,x8207,x8208)) % 169.26/169.11 [821]~E(x8211,x8212)+E(f837(x8213,x8214,x8215,x8216,x8217,x8211,x8218),f837(x8213,x8214,x8215,x8216,x8217,x8212,x8218)) % 169.26/169.11 [822]~E(x8221,x8222)+E(f837(x8223,x8224,x8225,x8226,x8227,x8228,x8221),f837(x8223,x8224,x8225,x8226,x8227,x8228,x8222)) % 169.26/169.11 [823]~E(x8231,x8232)+E(f438(x8231,x8233,x8234,x8235,x8236),f438(x8232,x8233,x8234,x8235,x8236)) % 169.26/169.11 [824]~E(x8241,x8242)+E(f438(x8243,x8241,x8244,x8245,x8246),f438(x8243,x8242,x8244,x8245,x8246)) % 169.26/169.11 [825]~E(x8251,x8252)+E(f438(x8253,x8254,x8251,x8255,x8256),f438(x8253,x8254,x8252,x8255,x8256)) % 169.26/169.11 [826]~E(x8261,x8262)+E(f438(x8263,x8264,x8265,x8261,x8266),f438(x8263,x8264,x8265,x8262,x8266)) % 169.26/169.11 [827]~E(x8271,x8272)+E(f438(x8273,x8274,x8275,x8276,x8271),f438(x8273,x8274,x8275,x8276,x8272)) % 169.26/169.11 [828]~E(x8281,x8282)+E(f278(x8281,x8283),f278(x8282,x8283)) % 169.26/169.11 [829]~E(x8291,x8292)+E(f278(x8293,x8291),f278(x8293,x8292)) % 169.26/169.11 [830]~E(x8301,x8302)+E(f202(x8301),f202(x8302)) % 169.26/169.11 [831]~E(x8311,x8312)+E(f811(x8311,x8313,x8314,x8315),f811(x8312,x8313,x8314,x8315)) % 169.26/169.11 [832]~E(x8321,x8322)+E(f811(x8323,x8321,x8324,x8325),f811(x8323,x8322,x8324,x8325)) % 169.26/169.11 [833]~E(x8331,x8332)+E(f811(x8333,x8334,x8331,x8335),f811(x8333,x8334,x8332,x8335)) % 169.26/169.11 [834]~E(x8341,x8342)+E(f811(x8343,x8344,x8345,x8341),f811(x8343,x8344,x8345,x8342)) % 169.26/169.11 [835]~E(x8351,x8352)+E(f557(x8351,x8353,x8354),f557(x8352,x8353,x8354)) % 169.26/169.11 [836]~E(x8361,x8362)+E(f557(x8363,x8361,x8364),f557(x8363,x8362,x8364)) % 169.26/169.11 [837]~E(x8371,x8372)+E(f557(x8373,x8374,x8371),f557(x8373,x8374,x8372)) % 169.26/169.11 [838]~E(x8381,x8382)+E(f401(x8381,x8383,x8384),f401(x8382,x8383,x8384)) % 169.26/169.11 [839]~E(x8391,x8392)+E(f401(x8393,x8391,x8394),f401(x8393,x8392,x8394)) % 169.26/169.11 [840]~E(x8401,x8402)+E(f401(x8403,x8404,x8401),f401(x8403,x8404,x8402)) % 169.26/169.11 [841]~E(x8411,x8412)+E(f409(x8411,x8413,x8414,x8415,x8416),f409(x8412,x8413,x8414,x8415,x8416)) % 169.26/169.11 [842]~E(x8421,x8422)+E(f409(x8423,x8421,x8424,x8425,x8426),f409(x8423,x8422,x8424,x8425,x8426)) % 169.26/169.11 [843]~E(x8431,x8432)+E(f409(x8433,x8434,x8431,x8435,x8436),f409(x8433,x8434,x8432,x8435,x8436)) % 169.26/169.11 [844]~E(x8441,x8442)+E(f409(x8443,x8444,x8445,x8441,x8446),f409(x8443,x8444,x8445,x8442,x8446)) % 169.26/169.11 [845]~E(x8451,x8452)+E(f409(x8453,x8454,x8455,x8456,x8451),f409(x8453,x8454,x8455,x8456,x8452)) % 169.26/169.11 [846]~E(x8461,x8462)+E(f119(x8461),f119(x8462)) % 169.26/169.11 [847]~E(x8471,x8472)+E(f517(x8471,x8473),f517(x8472,x8473)) % 169.26/169.11 [848]~E(x8481,x8482)+E(f517(x8483,x8481),f517(x8483,x8482)) % 169.26/169.11 [849]~E(x8491,x8492)+E(f408(x8491,x8493,x8494,x8495,x8496),f408(x8492,x8493,x8494,x8495,x8496)) % 169.26/169.11 [850]~E(x8501,x8502)+E(f408(x8503,x8501,x8504,x8505,x8506),f408(x8503,x8502,x8504,x8505,x8506)) % 169.26/169.11 [851]~E(x8511,x8512)+E(f408(x8513,x8514,x8511,x8515,x8516),f408(x8513,x8514,x8512,x8515,x8516)) % 169.26/169.11 [852]~E(x8521,x8522)+E(f408(x8523,x8524,x8525,x8521,x8526),f408(x8523,x8524,x8525,x8522,x8526)) % 169.26/169.11 [853]~E(x8531,x8532)+E(f408(x8533,x8534,x8535,x8536,x8531),f408(x8533,x8534,x8535,x8536,x8532)) % 169.26/169.11 [854]~E(x8541,x8542)+E(f352(x8541,x8543,x8544,x8545,x8546),f352(x8542,x8543,x8544,x8545,x8546)) % 169.26/169.11 [855]~E(x8551,x8552)+E(f352(x8553,x8551,x8554,x8555,x8556),f352(x8553,x8552,x8554,x8555,x8556)) % 169.26/169.11 [856]~E(x8561,x8562)+E(f352(x8563,x8564,x8561,x8565,x8566),f352(x8563,x8564,x8562,x8565,x8566)) % 169.26/169.11 [857]~E(x8571,x8572)+E(f352(x8573,x8574,x8575,x8571,x8576),f352(x8573,x8574,x8575,x8572,x8576)) % 169.26/169.11 [858]~E(x8581,x8582)+E(f352(x8583,x8584,x8585,x8586,x8581),f352(x8583,x8584,x8585,x8586,x8582)) % 169.26/169.11 [859]~E(x8591,x8592)+E(f609(x8591,x8593,x8594,x8595),f609(x8592,x8593,x8594,x8595)) % 169.26/169.11 [860]~E(x8601,x8602)+E(f609(x8603,x8601,x8604,x8605),f609(x8603,x8602,x8604,x8605)) % 169.26/169.11 [861]~E(x8611,x8612)+E(f609(x8613,x8614,x8611,x8615),f609(x8613,x8614,x8612,x8615)) % 169.26/169.11 [862]~E(x8621,x8622)+E(f609(x8623,x8624,x8625,x8621),f609(x8623,x8624,x8625,x8622)) % 169.26/169.11 [863]~E(x8631,x8632)+E(f727(x8631,x8633,x8634,x8635,x8636,x8637,x8638),f727(x8632,x8633,x8634,x8635,x8636,x8637,x8638)) % 169.26/169.11 [864]~E(x8641,x8642)+E(f727(x8643,x8641,x8644,x8645,x8646,x8647,x8648),f727(x8643,x8642,x8644,x8645,x8646,x8647,x8648)) % 169.26/169.11 [865]~E(x8651,x8652)+E(f727(x8653,x8654,x8651,x8655,x8656,x8657,x8658),f727(x8653,x8654,x8652,x8655,x8656,x8657,x8658)) % 169.26/169.11 [866]~E(x8661,x8662)+E(f727(x8663,x8664,x8665,x8661,x8666,x8667,x8668),f727(x8663,x8664,x8665,x8662,x8666,x8667,x8668)) % 169.26/169.11 [867]~E(x8671,x8672)+E(f727(x8673,x8674,x8675,x8676,x8671,x8677,x8678),f727(x8673,x8674,x8675,x8676,x8672,x8677,x8678)) % 169.26/169.11 [868]~E(x8681,x8682)+E(f727(x8683,x8684,x8685,x8686,x8687,x8681,x8688),f727(x8683,x8684,x8685,x8686,x8687,x8682,x8688)) % 169.26/169.11 [869]~E(x8691,x8692)+E(f727(x8693,x8694,x8695,x8696,x8697,x8698,x8691),f727(x8693,x8694,x8695,x8696,x8697,x8698,x8692)) % 169.26/169.11 [870]~E(x8701,x8702)+E(f677(x8701,x8703,x8704,x8705,x8706),f677(x8702,x8703,x8704,x8705,x8706)) % 169.26/169.11 [871]~E(x8711,x8712)+E(f677(x8713,x8711,x8714,x8715,x8716),f677(x8713,x8712,x8714,x8715,x8716)) % 169.26/169.11 [872]~E(x8721,x8722)+E(f677(x8723,x8724,x8721,x8725,x8726),f677(x8723,x8724,x8722,x8725,x8726)) % 169.26/169.11 [873]~E(x8731,x8732)+E(f677(x8733,x8734,x8735,x8731,x8736),f677(x8733,x8734,x8735,x8732,x8736)) % 169.26/169.11 [874]~E(x8741,x8742)+E(f677(x8743,x8744,x8745,x8746,x8741),f677(x8743,x8744,x8745,x8746,x8742)) % 169.26/169.11 [875]~E(x8751,x8752)+E(f568(x8751,x8753),f568(x8752,x8753)) % 169.26/169.11 [876]~E(x8761,x8762)+E(f568(x8763,x8761),f568(x8763,x8762)) % 169.26/169.11 [877]~E(x8771,x8772)+E(f166(x8771,x8773,x8774),f166(x8772,x8773,x8774)) % 169.26/169.11 [878]~E(x8781,x8782)+E(f166(x8783,x8781,x8784),f166(x8783,x8782,x8784)) % 169.26/169.11 [879]~E(x8791,x8792)+E(f166(x8793,x8794,x8791),f166(x8793,x8794,x8792)) % 169.26/169.11 [880]~E(x8801,x8802)+E(f604(x8801,x8803,x8804,x8805),f604(x8802,x8803,x8804,x8805)) % 169.26/169.11 [881]~E(x8811,x8812)+E(f604(x8813,x8811,x8814,x8815),f604(x8813,x8812,x8814,x8815)) % 169.26/169.11 [882]~E(x8821,x8822)+E(f604(x8823,x8824,x8821,x8825),f604(x8823,x8824,x8822,x8825)) % 169.26/169.11 [883]~E(x8831,x8832)+E(f604(x8833,x8834,x8835,x8831),f604(x8833,x8834,x8835,x8832)) % 169.26/169.11 [884]~E(x8841,x8842)+E(f199(x8841,x8843,x8844,x8845),f199(x8842,x8843,x8844,x8845)) % 169.26/169.11 [885]~E(x8851,x8852)+E(f199(x8853,x8851,x8854,x8855),f199(x8853,x8852,x8854,x8855)) % 169.26/169.11 [886]~E(x8861,x8862)+E(f199(x8863,x8864,x8861,x8865),f199(x8863,x8864,x8862,x8865)) % 169.26/169.11 [887]~E(x8871,x8872)+E(f199(x8873,x8874,x8875,x8871),f199(x8873,x8874,x8875,x8872)) % 169.26/169.11 [888]~E(x8881,x8882)+E(f446(x8881,x8883,x8884,x8885),f446(x8882,x8883,x8884,x8885)) % 169.26/169.11 [889]~E(x8891,x8892)+E(f446(x8893,x8891,x8894,x8895),f446(x8893,x8892,x8894,x8895)) % 169.26/169.11 [890]~E(x8901,x8902)+E(f446(x8903,x8904,x8901,x8905),f446(x8903,x8904,x8902,x8905)) % 169.26/169.11 [891]~E(x8911,x8912)+E(f446(x8913,x8914,x8915,x8911),f446(x8913,x8914,x8915,x8912)) % 169.26/169.11 [892]~E(x8921,x8922)+E(f817(x8921,x8923,x8924,x8925,x8926,x8927,x8928,x8929),f817(x8922,x8923,x8924,x8925,x8926,x8927,x8928,x8929)) % 169.26/169.11 [893]~E(x8931,x8932)+E(f817(x8933,x8931,x8934,x8935,x8936,x8937,x8938,x8939),f817(x8933,x8932,x8934,x8935,x8936,x8937,x8938,x8939)) % 169.26/169.11 [894]~E(x8941,x8942)+E(f817(x8943,x8944,x8941,x8945,x8946,x8947,x8948,x8949),f817(x8943,x8944,x8942,x8945,x8946,x8947,x8948,x8949)) % 169.26/169.11 [895]~E(x8951,x8952)+E(f817(x8953,x8954,x8955,x8951,x8956,x8957,x8958,x8959),f817(x8953,x8954,x8955,x8952,x8956,x8957,x8958,x8959)) % 169.26/169.11 [896]~E(x8961,x8962)+E(f817(x8963,x8964,x8965,x8966,x8961,x8967,x8968,x8969),f817(x8963,x8964,x8965,x8966,x8962,x8967,x8968,x8969)) % 169.26/169.11 [897]~E(x8971,x8972)+E(f817(x8973,x8974,x8975,x8976,x8977,x8971,x8978,x8979),f817(x8973,x8974,x8975,x8976,x8977,x8972,x8978,x8979)) % 169.26/169.11 [898]~E(x8981,x8982)+E(f817(x8983,x8984,x8985,x8986,x8987,x8988,x8981,x8989),f817(x8983,x8984,x8985,x8986,x8987,x8988,x8982,x8989)) % 169.26/169.11 [899]~E(x8991,x8992)+E(f817(x8993,x8994,x8995,x8996,x8997,x8998,x8999,x8991),f817(x8993,x8994,x8995,x8996,x8997,x8998,x8999,x8992)) % 169.26/169.11 [900]~E(x9001,x9002)+E(f440(x9001,x9003,x9004,x9005,x9006),f440(x9002,x9003,x9004,x9005,x9006)) % 169.26/169.11 [901]~E(x9011,x9012)+E(f440(x9013,x9011,x9014,x9015,x9016),f440(x9013,x9012,x9014,x9015,x9016)) % 169.26/169.11 [902]~E(x9021,x9022)+E(f440(x9023,x9024,x9021,x9025,x9026),f440(x9023,x9024,x9022,x9025,x9026)) % 169.26/169.11 [903]~E(x9031,x9032)+E(f440(x9033,x9034,x9035,x9031,x9036),f440(x9033,x9034,x9035,x9032,x9036)) % 169.26/169.11 [904]~E(x9041,x9042)+E(f440(x9043,x9044,x9045,x9046,x9041),f440(x9043,x9044,x9045,x9046,x9042)) % 169.26/169.11 [905]~E(x9051,x9052)+E(f760(x9051,x9053,x9054,x9055),f760(x9052,x9053,x9054,x9055)) % 169.26/169.11 [906]~E(x9061,x9062)+E(f760(x9063,x9061,x9064,x9065),f760(x9063,x9062,x9064,x9065)) % 169.26/169.11 [907]~E(x9071,x9072)+E(f760(x9073,x9074,x9071,x9075),f760(x9073,x9074,x9072,x9075)) % 169.26/169.11 [908]~E(x9081,x9082)+E(f760(x9083,x9084,x9085,x9081),f760(x9083,x9084,x9085,x9082)) % 169.26/169.11 [909]~E(x9091,x9092)+E(f876(x9091,x9093),f876(x9092,x9093)) % 169.26/169.11 [910]~E(x9101,x9102)+E(f876(x9103,x9101),f876(x9103,x9102)) % 169.26/169.11 [911]~E(x9111,x9112)+E(f256(x9111,x9113),f256(x9112,x9113)) % 169.26/169.11 [912]~E(x9121,x9122)+E(f256(x9123,x9121),f256(x9123,x9122)) % 169.26/169.11 [913]~E(x9131,x9132)+E(f205(x9131,x9133),f205(x9132,x9133)) % 169.26/169.11 [914]~E(x9141,x9142)+E(f205(x9143,x9141),f205(x9143,x9142)) % 169.26/169.11 [915]~E(x9151,x9152)+E(f456(x9151,x9153,x9154,x9155),f456(x9152,x9153,x9154,x9155)) % 169.26/169.11 [916]~E(x9161,x9162)+E(f456(x9163,x9161,x9164,x9165),f456(x9163,x9162,x9164,x9165)) % 169.26/169.11 [917]~E(x9171,x9172)+E(f456(x9173,x9174,x9171,x9175),f456(x9173,x9174,x9172,x9175)) % 169.26/169.11 [918]~E(x9181,x9182)+E(f456(x9183,x9184,x9185,x9181),f456(x9183,x9184,x9185,x9182)) % 169.26/169.11 [919]~E(x9191,x9192)+E(f550(x9191,x9193,x9194,x9195),f550(x9192,x9193,x9194,x9195)) % 169.26/169.11 [920]~E(x9201,x9202)+E(f550(x9203,x9201,x9204,x9205),f550(x9203,x9202,x9204,x9205)) % 169.26/169.11 [921]~E(x9211,x9212)+E(f550(x9213,x9214,x9211,x9215),f550(x9213,x9214,x9212,x9215)) % 169.26/169.11 [922]~E(x9221,x9222)+E(f550(x9223,x9224,x9225,x9221),f550(x9223,x9224,x9225,x9222)) % 169.26/169.11 [923]~E(x9231,x9232)+E(f878(x9231,x9233,x9234,x9235),f878(x9232,x9233,x9234,x9235)) % 169.26/169.11 [924]~E(x9241,x9242)+E(f878(x9243,x9241,x9244,x9245),f878(x9243,x9242,x9244,x9245)) % 169.26/169.11 [925]~E(x9251,x9252)+E(f878(x9253,x9254,x9251,x9255),f878(x9253,x9254,x9252,x9255)) % 169.26/169.11 [926]~E(x9261,x9262)+E(f878(x9263,x9264,x9265,x9261),f878(x9263,x9264,x9265,x9262)) % 169.26/169.11 [927]~E(x9271,x9272)+E(f176(x9271),f176(x9272)) % 169.26/169.11 [928]~E(x9281,x9282)+E(f435(x9281,x9283,x9284,x9285),f435(x9282,x9283,x9284,x9285)) % 169.26/169.11 [929]~E(x9291,x9292)+E(f435(x9293,x9291,x9294,x9295),f435(x9293,x9292,x9294,x9295)) % 169.26/169.11 [930]~E(x9301,x9302)+E(f435(x9303,x9304,x9301,x9305),f435(x9303,x9304,x9302,x9305)) % 169.26/169.11 [931]~E(x9311,x9312)+E(f435(x9313,x9314,x9315,x9311),f435(x9313,x9314,x9315,x9312)) % 169.26/169.11 [932]~E(x9321,x9322)+E(f818(x9321,x9323,x9324,x9325,x9326,x9327,x9328,x9329),f818(x9322,x9323,x9324,x9325,x9326,x9327,x9328,x9329)) % 169.26/169.11 [933]~E(x9331,x9332)+E(f818(x9333,x9331,x9334,x9335,x9336,x9337,x9338,x9339),f818(x9333,x9332,x9334,x9335,x9336,x9337,x9338,x9339)) % 169.26/169.11 [934]~E(x9341,x9342)+E(f818(x9343,x9344,x9341,x9345,x9346,x9347,x9348,x9349),f818(x9343,x9344,x9342,x9345,x9346,x9347,x9348,x9349)) % 169.26/169.11 [935]~E(x9351,x9352)+E(f818(x9353,x9354,x9355,x9351,x9356,x9357,x9358,x9359),f818(x9353,x9354,x9355,x9352,x9356,x9357,x9358,x9359)) % 169.26/169.11 [936]~E(x9361,x9362)+E(f818(x9363,x9364,x9365,x9366,x9361,x9367,x9368,x9369),f818(x9363,x9364,x9365,x9366,x9362,x9367,x9368,x9369)) % 169.26/169.11 [937]~E(x9371,x9372)+E(f818(x9373,x9374,x9375,x9376,x9377,x9371,x9378,x9379),f818(x9373,x9374,x9375,x9376,x9377,x9372,x9378,x9379)) % 169.26/169.11 [938]~E(x9381,x9382)+E(f818(x9383,x9384,x9385,x9386,x9387,x9388,x9381,x9389),f818(x9383,x9384,x9385,x9386,x9387,x9388,x9382,x9389)) % 169.26/169.11 [939]~E(x9391,x9392)+E(f818(x9393,x9394,x9395,x9396,x9397,x9398,x9399,x9391),f818(x9393,x9394,x9395,x9396,x9397,x9398,x9399,x9392)) % 169.26/169.11 [940]~E(x9401,x9402)+E(f288(x9401,x9403,x9404),f288(x9402,x9403,x9404)) % 169.26/169.11 [941]~E(x9411,x9412)+E(f288(x9413,x9411,x9414),f288(x9413,x9412,x9414)) % 169.26/169.11 [942]~E(x9421,x9422)+E(f288(x9423,x9424,x9421),f288(x9423,x9424,x9422)) % 169.26/169.11 [943]~E(x9431,x9432)+E(f560(x9431,x9433),f560(x9432,x9433)) % 169.26/169.11 [944]~E(x9441,x9442)+E(f560(x9443,x9441),f560(x9443,x9442)) % 169.26/169.11 [945]~E(x9451,x9452)+E(f182(x9451,x9453),f182(x9452,x9453)) % 169.26/169.11 [946]~E(x9461,x9462)+E(f182(x9463,x9461),f182(x9463,x9462)) % 169.26/169.11 [947]~E(x9471,x9472)+E(f513(x9471,x9473,x9474),f513(x9472,x9473,x9474)) % 169.26/169.11 [948]~E(x9481,x9482)+E(f513(x9483,x9481,x9484),f513(x9483,x9482,x9484)) % 169.26/169.11 [949]~E(x9491,x9492)+E(f513(x9493,x9494,x9491),f513(x9493,x9494,x9492)) % 169.26/169.11 [950]~E(x9501,x9502)+E(f111(x9501,x9503),f111(x9502,x9503)) % 169.26/169.11 [951]~E(x9511,x9512)+E(f111(x9513,x9511),f111(x9513,x9512)) % 169.26/169.11 [952]~E(x9521,x9522)+E(f519(x9521,x9523),f519(x9522,x9523)) % 169.26/169.11 [953]~E(x9531,x9532)+E(f519(x9533,x9531),f519(x9533,x9532)) % 169.26/169.11 [954]~E(x9541,x9542)+E(f412(x9541,x9543,x9544),f412(x9542,x9543,x9544)) % 169.26/169.11 [955]~E(x9551,x9552)+E(f412(x9553,x9551,x9554),f412(x9553,x9552,x9554)) % 169.26/169.11 [956]~E(x9561,x9562)+E(f412(x9563,x9564,x9561),f412(x9563,x9564,x9562)) % 169.26/169.11 [957]~E(x9571,x9572)+E(f723(x9571,x9573,x9574,x9575,x9576,x9577,x9578),f723(x9572,x9573,x9574,x9575,x9576,x9577,x9578)) % 169.26/169.11 [958]~E(x9581,x9582)+E(f723(x9583,x9581,x9584,x9585,x9586,x9587,x9588),f723(x9583,x9582,x9584,x9585,x9586,x9587,x9588)) % 169.26/169.11 [959]~E(x9591,x9592)+E(f723(x9593,x9594,x9591,x9595,x9596,x9597,x9598),f723(x9593,x9594,x9592,x9595,x9596,x9597,x9598)) % 169.26/169.11 [960]~E(x9601,x9602)+E(f723(x9603,x9604,x9605,x9601,x9606,x9607,x9608),f723(x9603,x9604,x9605,x9602,x9606,x9607,x9608)) % 169.26/169.11 [961]~E(x9611,x9612)+E(f723(x9613,x9614,x9615,x9616,x9611,x9617,x9618),f723(x9613,x9614,x9615,x9616,x9612,x9617,x9618)) % 169.26/169.11 [962]~E(x9621,x9622)+E(f723(x9623,x9624,x9625,x9626,x9627,x9621,x9628),f723(x9623,x9624,x9625,x9626,x9627,x9622,x9628)) % 169.26/169.11 [963]~E(x9631,x9632)+E(f723(x9633,x9634,x9635,x9636,x9637,x9638,x9631),f723(x9633,x9634,x9635,x9636,x9637,x9638,x9632)) % 169.26/169.11 [964]~E(x9641,x9642)+E(f684(x9641,x9643),f684(x9642,x9643)) % 169.26/169.11 [965]~E(x9651,x9652)+E(f684(x9653,x9651),f684(x9653,x9652)) % 169.26/169.11 [966]~E(x9661,x9662)+E(f544(x9661,x9663,x9664,x9665),f544(x9662,x9663,x9664,x9665)) % 169.26/169.11 [967]~E(x9671,x9672)+E(f544(x9673,x9671,x9674,x9675),f544(x9673,x9672,x9674,x9675)) % 169.26/169.11 [968]~E(x9681,x9682)+E(f544(x9683,x9684,x9681,x9685),f544(x9683,x9684,x9682,x9685)) % 169.26/169.11 [969]~E(x9691,x9692)+E(f544(x9693,x9694,x9695,x9691),f544(x9693,x9694,x9695,x9692)) % 169.26/169.11 [970]~E(x9701,x9702)+E(f502(x9701,x9703,x9704,x9705),f502(x9702,x9703,x9704,x9705)) % 169.26/169.11 [971]~E(x9711,x9712)+E(f502(x9713,x9711,x9714,x9715),f502(x9713,x9712,x9714,x9715)) % 169.26/169.11 [972]~E(x9721,x9722)+E(f502(x9723,x9724,x9721,x9725),f502(x9723,x9724,x9722,x9725)) % 169.26/169.11 [973]~E(x9731,x9732)+E(f502(x9733,x9734,x9735,x9731),f502(x9733,x9734,x9735,x9732)) % 169.26/169.11 [974]~E(x9741,x9742)+E(f353(x9741,x9743),f353(x9742,x9743)) % 169.26/169.11 [975]~E(x9751,x9752)+E(f353(x9753,x9751),f353(x9753,x9752)) % 169.26/169.11 [976]~E(x9761,x9762)+E(f836(x9761,x9763,x9764),f836(x9762,x9763,x9764)) % 169.26/169.11 [977]~E(x9771,x9772)+E(f836(x9773,x9771,x9774),f836(x9773,x9772,x9774)) % 169.26/169.11 [978]~E(x9781,x9782)+E(f836(x9783,x9784,x9781),f836(x9783,x9784,x9782)) % 169.26/169.11 [979]~E(x9791,x9792)+E(f251(x9791,x9793,x9794,x9795,x9796),f251(x9792,x9793,x9794,x9795,x9796)) % 169.26/169.11 [980]~E(x9801,x9802)+E(f251(x9803,x9801,x9804,x9805,x9806),f251(x9803,x9802,x9804,x9805,x9806)) % 169.26/169.11 [981]~E(x9811,x9812)+E(f251(x9813,x9814,x9811,x9815,x9816),f251(x9813,x9814,x9812,x9815,x9816)) % 169.26/169.11 [982]~E(x9821,x9822)+E(f251(x9823,x9824,x9825,x9821,x9826),f251(x9823,x9824,x9825,x9822,x9826)) % 169.26/169.11 [983]~E(x9831,x9832)+E(f251(x9833,x9834,x9835,x9836,x9831),f251(x9833,x9834,x9835,x9836,x9832)) % 169.26/169.11 [984]~E(x9841,x9842)+E(f118(x9841,x9843),f118(x9842,x9843)) % 169.26/169.11 [985]~E(x9851,x9852)+E(f118(x9853,x9851),f118(x9853,x9852)) % 169.26/169.11 [986]~E(x9861,x9862)+E(f773(x9861,x9863,x9864),f773(x9862,x9863,x9864)) % 169.26/169.11 [987]~E(x9871,x9872)+E(f773(x9873,x9871,x9874),f773(x9873,x9872,x9874)) % 169.26/169.11 [988]~E(x9881,x9882)+E(f773(x9883,x9884,x9881),f773(x9883,x9884,x9882)) % 169.26/169.11 [989]~E(x9891,x9892)+E(f531(x9891,x9893,x9894,x9895,x9896,x9897),f531(x9892,x9893,x9894,x9895,x9896,x9897)) % 169.26/169.11 [990]~E(x9901,x9902)+E(f531(x9903,x9901,x9904,x9905,x9906,x9907),f531(x9903,x9902,x9904,x9905,x9906,x9907)) % 169.26/169.11 [991]~E(x9911,x9912)+E(f531(x9913,x9914,x9911,x9915,x9916,x9917),f531(x9913,x9914,x9912,x9915,x9916,x9917)) % 169.26/169.11 [992]~E(x9921,x9922)+E(f531(x9923,x9924,x9925,x9921,x9926,x9927),f531(x9923,x9924,x9925,x9922,x9926,x9927)) % 169.26/169.11 [993]~E(x9931,x9932)+E(f531(x9933,x9934,x9935,x9936,x9931,x9937),f531(x9933,x9934,x9935,x9936,x9932,x9937)) % 169.26/169.11 [994]~E(x9941,x9942)+E(f531(x9943,x9944,x9945,x9946,x9947,x9941),f531(x9943,x9944,x9945,x9946,x9947,x9942)) % 169.26/169.11 [995]~E(x9951,x9952)+E(f382(x9951,x9953),f382(x9952,x9953)) % 169.26/169.11 [996]~E(x9961,x9962)+E(f382(x9963,x9961),f382(x9963,x9962)) % 169.26/169.11 [997]~E(x9971,x9972)+E(f393(x9971,x9973,x9974),f393(x9972,x9973,x9974)) % 169.26/169.11 [998]~E(x9981,x9982)+E(f393(x9983,x9981,x9984),f393(x9983,x9982,x9984)) % 169.26/169.11 [999]~E(x9991,x9992)+E(f393(x9993,x9994,x9991),f393(x9993,x9994,x9992)) % 169.26/169.11 [1000]~E(x10001,x10002)+E(f358(x10001,x10003,x10004,x10005),f358(x10002,x10003,x10004,x10005)) % 169.26/169.11 [1001]~E(x10011,x10012)+E(f358(x10013,x10011,x10014,x10015),f358(x10013,x10012,x10014,x10015)) % 169.26/169.11 [1002]~E(x10021,x10022)+E(f358(x10023,x10024,x10021,x10025),f358(x10023,x10024,x10022,x10025)) % 169.26/169.11 [1003]~E(x10031,x10032)+E(f358(x10033,x10034,x10035,x10031),f358(x10033,x10034,x10035,x10032)) % 169.26/169.11 [1004]~E(x10041,x10042)+E(f562(x10041,x10043),f562(x10042,x10043)) % 169.26/169.11 [1005]~E(x10051,x10052)+E(f562(x10053,x10051),f562(x10053,x10052)) % 169.26/169.11 [1006]~E(x10061,x10062)+E(f657(x10061,x10063,x10064,x10065,x10066),f657(x10062,x10063,x10064,x10065,x10066)) % 169.26/169.11 [1007]~E(x10071,x10072)+E(f657(x10073,x10071,x10074,x10075,x10076),f657(x10073,x10072,x10074,x10075,x10076)) % 169.26/169.11 [1008]~E(x10081,x10082)+E(f657(x10083,x10084,x10081,x10085,x10086),f657(x10083,x10084,x10082,x10085,x10086)) % 169.26/169.11 [1009]~E(x10091,x10092)+E(f657(x10093,x10094,x10095,x10091,x10096),f657(x10093,x10094,x10095,x10092,x10096)) % 169.26/169.11 [1010]~E(x10101,x10102)+E(f657(x10103,x10104,x10105,x10106,x10101),f657(x10103,x10104,x10105,x10106,x10102)) % 169.26/169.11 [1011]~E(x10111,x10112)+E(f651(x10111,x10113,x10114),f651(x10112,x10113,x10114)) % 169.26/169.11 [1012]~E(x10121,x10122)+E(f651(x10123,x10121,x10124),f651(x10123,x10122,x10124)) % 169.26/169.11 [1013]~E(x10131,x10132)+E(f651(x10133,x10134,x10131),f651(x10133,x10134,x10132)) % 169.26/169.11 [1014]~E(x10141,x10142)+E(f632(x10141,x10143,x10144,x10145,x10146),f632(x10142,x10143,x10144,x10145,x10146)) % 169.26/169.11 [1015]~E(x10151,x10152)+E(f632(x10153,x10151,x10154,x10155,x10156),f632(x10153,x10152,x10154,x10155,x10156)) % 169.26/169.11 [1016]~E(x10161,x10162)+E(f632(x10163,x10164,x10161,x10165,x10166),f632(x10163,x10164,x10162,x10165,x10166)) % 169.26/169.11 [1017]~E(x10171,x10172)+E(f632(x10173,x10174,x10175,x10171,x10176),f632(x10173,x10174,x10175,x10172,x10176)) % 169.26/169.11 [1018]~E(x10181,x10182)+E(f632(x10183,x10184,x10185,x10186,x10181),f632(x10183,x10184,x10185,x10186,x10182)) % 169.26/169.11 [1019]~E(x10191,x10192)+E(f766(x10191,x10193,x10194,x10195,x10196,x10197,x10198),f766(x10192,x10193,x10194,x10195,x10196,x10197,x10198)) % 169.26/169.11 [1020]~E(x10201,x10202)+E(f766(x10203,x10201,x10204,x10205,x10206,x10207,x10208),f766(x10203,x10202,x10204,x10205,x10206,x10207,x10208)) % 169.26/169.11 [1021]~E(x10211,x10212)+E(f766(x10213,x10214,x10211,x10215,x10216,x10217,x10218),f766(x10213,x10214,x10212,x10215,x10216,x10217,x10218)) % 169.26/169.11 [1022]~E(x10221,x10222)+E(f766(x10223,x10224,x10225,x10221,x10226,x10227,x10228),f766(x10223,x10224,x10225,x10222,x10226,x10227,x10228)) % 169.26/169.11 [1023]~E(x10231,x10232)+E(f766(x10233,x10234,x10235,x10236,x10231,x10237,x10238),f766(x10233,x10234,x10235,x10236,x10232,x10237,x10238)) % 169.26/169.11 [1024]~E(x10241,x10242)+E(f766(x10243,x10244,x10245,x10246,x10247,x10241,x10248),f766(x10243,x10244,x10245,x10246,x10247,x10242,x10248)) % 169.26/169.11 [1025]~E(x10251,x10252)+E(f766(x10253,x10254,x10255,x10256,x10257,x10258,x10251),f766(x10253,x10254,x10255,x10256,x10257,x10258,x10252)) % 169.26/169.11 [1026]~E(x10261,x10262)+E(f60(x10261,x10263,x10264,x10265,x10266),f60(x10262,x10263,x10264,x10265,x10266)) % 169.26/169.11 [1027]~E(x10271,x10272)+E(f60(x10273,x10271,x10274,x10275,x10276),f60(x10273,x10272,x10274,x10275,x10276)) % 169.26/169.11 [1028]~E(x10281,x10282)+E(f60(x10283,x10284,x10281,x10285,x10286),f60(x10283,x10284,x10282,x10285,x10286)) % 169.26/169.11 [1029]~E(x10291,x10292)+E(f60(x10293,x10294,x10295,x10291,x10296),f60(x10293,x10294,x10295,x10292,x10296)) % 169.26/169.11 [1030]~E(x10301,x10302)+E(f60(x10303,x10304,x10305,x10306,x10301),f60(x10303,x10304,x10305,x10306,x10302)) % 169.26/169.11 [1031]~E(x10311,x10312)+E(f581(x10311,x10313,x10314,x10315,x10316),f581(x10312,x10313,x10314,x10315,x10316)) % 169.26/169.11 [1032]~E(x10321,x10322)+E(f581(x10323,x10321,x10324,x10325,x10326),f581(x10323,x10322,x10324,x10325,x10326)) % 169.26/169.11 [1033]~E(x10331,x10332)+E(f581(x10333,x10334,x10331,x10335,x10336),f581(x10333,x10334,x10332,x10335,x10336)) % 169.26/169.11 [1034]~E(x10341,x10342)+E(f581(x10343,x10344,x10345,x10341,x10346),f581(x10343,x10344,x10345,x10342,x10346)) % 169.26/169.11 [1035]~E(x10351,x10352)+E(f581(x10353,x10354,x10355,x10356,x10351),f581(x10353,x10354,x10355,x10356,x10352)) % 169.26/169.11 [1036]~E(x10361,x10362)+E(f659(x10361,x10363,x10364,x10365,x10366),f659(x10362,x10363,x10364,x10365,x10366)) % 169.26/169.11 [1037]~E(x10371,x10372)+E(f659(x10373,x10371,x10374,x10375,x10376),f659(x10373,x10372,x10374,x10375,x10376)) % 169.26/169.11 [1038]~E(x10381,x10382)+E(f659(x10383,x10384,x10381,x10385,x10386),f659(x10383,x10384,x10382,x10385,x10386)) % 169.26/169.11 [1039]~E(x10391,x10392)+E(f659(x10393,x10394,x10395,x10391,x10396),f659(x10393,x10394,x10395,x10392,x10396)) % 169.26/169.11 [1040]~E(x10401,x10402)+E(f659(x10403,x10404,x10405,x10406,x10401),f659(x10403,x10404,x10405,x10406,x10402)) % 169.26/169.11 [1041]~E(x10411,x10412)+E(f547(x10411,x10413,x10414,x10415,x10416,x10417),f547(x10412,x10413,x10414,x10415,x10416,x10417)) % 169.26/169.11 [1042]~E(x10421,x10422)+E(f547(x10423,x10421,x10424,x10425,x10426,x10427),f547(x10423,x10422,x10424,x10425,x10426,x10427)) % 169.26/169.11 [1043]~E(x10431,x10432)+E(f547(x10433,x10434,x10431,x10435,x10436,x10437),f547(x10433,x10434,x10432,x10435,x10436,x10437)) % 169.26/169.11 [1044]~E(x10441,x10442)+E(f547(x10443,x10444,x10445,x10441,x10446,x10447),f547(x10443,x10444,x10445,x10442,x10446,x10447)) % 169.26/169.11 [1045]~E(x10451,x10452)+E(f547(x10453,x10454,x10455,x10456,x10451,x10457),f547(x10453,x10454,x10455,x10456,x10452,x10457)) % 169.26/169.11 [1046]~E(x10461,x10462)+E(f547(x10463,x10464,x10465,x10466,x10467,x10461),f547(x10463,x10464,x10465,x10466,x10467,x10462)) % 169.26/169.11 [1047]~E(x10471,x10472)+E(f136(x10471,x10473),f136(x10472,x10473)) % 169.26/169.11 [1048]~E(x10481,x10482)+E(f136(x10483,x10481),f136(x10483,x10482)) % 169.26/169.11 [1049]~E(x10491,x10492)+E(f377(x10491,x10493,x10494,x10495),f377(x10492,x10493,x10494,x10495)) % 169.26/169.11 [1050]~E(x10501,x10502)+E(f377(x10503,x10501,x10504,x10505),f377(x10503,x10502,x10504,x10505)) % 169.26/169.11 [1051]~E(x10511,x10512)+E(f377(x10513,x10514,x10511,x10515),f377(x10513,x10514,x10512,x10515)) % 169.26/169.11 [1052]~E(x10521,x10522)+E(f377(x10523,x10524,x10525,x10521),f377(x10523,x10524,x10525,x10522)) % 169.26/169.11 [1053]~E(x10531,x10532)+E(f789(x10531,x10533),f789(x10532,x10533)) % 169.26/169.11 [1054]~E(x10541,x10542)+E(f789(x10543,x10541),f789(x10543,x10542)) % 169.26/169.11 [1055]~E(x10551,x10552)+E(f405(x10551,x10553,x10554,x10555,x10556),f405(x10552,x10553,x10554,x10555,x10556)) % 169.26/169.11 [1056]~E(x10561,x10562)+E(f405(x10563,x10561,x10564,x10565,x10566),f405(x10563,x10562,x10564,x10565,x10566)) % 169.26/169.11 [1057]~E(x10571,x10572)+E(f405(x10573,x10574,x10571,x10575,x10576),f405(x10573,x10574,x10572,x10575,x10576)) % 169.26/169.11 [1058]~E(x10581,x10582)+E(f405(x10583,x10584,x10585,x10581,x10586),f405(x10583,x10584,x10585,x10582,x10586)) % 169.26/169.11 [1059]~E(x10591,x10592)+E(f405(x10593,x10594,x10595,x10596,x10591),f405(x10593,x10594,x10595,x10596,x10592)) % 169.26/169.11 [1060]~E(x10601,x10602)+E(f439(x10601,x10603,x10604,x10605,x10606),f439(x10602,x10603,x10604,x10605,x10606)) % 169.26/169.11 [1061]~E(x10611,x10612)+E(f439(x10613,x10611,x10614,x10615,x10616),f439(x10613,x10612,x10614,x10615,x10616)) % 169.26/169.11 [1062]~E(x10621,x10622)+E(f439(x10623,x10624,x10621,x10625,x10626),f439(x10623,x10624,x10622,x10625,x10626)) % 169.26/169.11 [1063]~E(x10631,x10632)+E(f439(x10633,x10634,x10635,x10631,x10636),f439(x10633,x10634,x10635,x10632,x10636)) % 169.26/169.11 [1064]~E(x10641,x10642)+E(f439(x10643,x10644,x10645,x10646,x10641),f439(x10643,x10644,x10645,x10646,x10642)) % 169.26/169.11 [1065]~E(x10651,x10652)+E(f480(x10651,x10653,x10654,x10655,x10656),f480(x10652,x10653,x10654,x10655,x10656)) % 169.26/169.11 [1066]~E(x10661,x10662)+E(f480(x10663,x10661,x10664,x10665,x10666),f480(x10663,x10662,x10664,x10665,x10666)) % 169.26/169.11 [1067]~E(x10671,x10672)+E(f480(x10673,x10674,x10671,x10675,x10676),f480(x10673,x10674,x10672,x10675,x10676)) % 169.26/169.11 [1068]~E(x10681,x10682)+E(f480(x10683,x10684,x10685,x10681,x10686),f480(x10683,x10684,x10685,x10682,x10686)) % 169.26/169.11 [1069]~E(x10691,x10692)+E(f480(x10693,x10694,x10695,x10696,x10691),f480(x10693,x10694,x10695,x10696,x10692)) % 169.26/169.11 [1070]~E(x10701,x10702)+E(f107(x10701,x10703,x10704),f107(x10702,x10703,x10704)) % 169.26/169.11 [1071]~E(x10711,x10712)+E(f107(x10713,x10711,x10714),f107(x10713,x10712,x10714)) % 169.26/169.11 [1072]~E(x10721,x10722)+E(f107(x10723,x10724,x10721),f107(x10723,x10724,x10722)) % 169.26/169.11 [1073]~E(x10731,x10732)+E(f647(x10731,x10733,x10734,x10735),f647(x10732,x10733,x10734,x10735)) % 169.26/169.11 [1074]~E(x10741,x10742)+E(f647(x10743,x10741,x10744,x10745),f647(x10743,x10742,x10744,x10745)) % 169.26/169.11 [1075]~E(x10751,x10752)+E(f647(x10753,x10754,x10751,x10755),f647(x10753,x10754,x10752,x10755)) % 169.26/169.11 [1076]~E(x10761,x10762)+E(f647(x10763,x10764,x10765,x10761),f647(x10763,x10764,x10765,x10762)) % 169.26/169.11 [1077]~E(x10771,x10772)+E(f655(x10771,x10773,x10774,x10775),f655(x10772,x10773,x10774,x10775)) % 169.26/169.11 [1078]~E(x10781,x10782)+E(f655(x10783,x10781,x10784,x10785),f655(x10783,x10782,x10784,x10785)) % 169.26/169.11 [1079]~E(x10791,x10792)+E(f655(x10793,x10794,x10791,x10795),f655(x10793,x10794,x10792,x10795)) % 169.26/169.11 [1080]~E(x10801,x10802)+E(f655(x10803,x10804,x10805,x10801),f655(x10803,x10804,x10805,x10802)) % 169.26/169.11 [1081]~E(x10811,x10812)+E(f108(x10811,x10813,x10814),f108(x10812,x10813,x10814)) % 169.26/169.11 [1082]~E(x10821,x10822)+E(f108(x10823,x10821,x10824),f108(x10823,x10822,x10824)) % 169.26/169.11 [1083]~E(x10831,x10832)+E(f108(x10833,x10834,x10831),f108(x10833,x10834,x10832)) % 169.26/169.11 [1084]~E(x10841,x10842)+E(f701(x10841,x10843),f701(x10842,x10843)) % 169.26/169.11 [1085]~E(x10851,x10852)+E(f701(x10853,x10851),f701(x10853,x10852)) % 169.26/169.11 [1086]~E(x10861,x10862)+E(f11(x10861,x10863,x10864),f11(x10862,x10863,x10864)) % 169.26/169.11 [1087]~E(x10871,x10872)+E(f11(x10873,x10871,x10874),f11(x10873,x10872,x10874)) % 169.26/169.11 [1088]~E(x10881,x10882)+E(f11(x10883,x10884,x10881),f11(x10883,x10884,x10882)) % 169.26/169.11 [1089]~E(x10891,x10892)+E(f186(x10891,x10893,x10894,x10895),f186(x10892,x10893,x10894,x10895)) % 169.26/169.11 [1090]~E(x10901,x10902)+E(f186(x10903,x10901,x10904,x10905),f186(x10903,x10902,x10904,x10905)) % 169.26/169.11 [1091]~E(x10911,x10912)+E(f186(x10913,x10914,x10911,x10915),f186(x10913,x10914,x10912,x10915)) % 169.26/169.11 [1092]~E(x10921,x10922)+E(f186(x10923,x10924,x10925,x10921),f186(x10923,x10924,x10925,x10922)) % 169.26/169.11 [1093]~E(x10931,x10932)+E(f416(x10931,x10933,x10934,x10935,x10936),f416(x10932,x10933,x10934,x10935,x10936)) % 169.26/169.11 [1094]~E(x10941,x10942)+E(f416(x10943,x10941,x10944,x10945,x10946),f416(x10943,x10942,x10944,x10945,x10946)) % 169.26/169.11 [1095]~E(x10951,x10952)+E(f416(x10953,x10954,x10951,x10955,x10956),f416(x10953,x10954,x10952,x10955,x10956)) % 169.26/169.11 [1096]~E(x10961,x10962)+E(f416(x10963,x10964,x10965,x10961,x10966),f416(x10963,x10964,x10965,x10962,x10966)) % 169.26/169.11 [1097]~E(x10971,x10972)+E(f416(x10973,x10974,x10975,x10976,x10971),f416(x10973,x10974,x10975,x10976,x10972)) % 169.26/169.11 [1098]~E(x10981,x10982)+E(f820(x10981,x10983,x10984,x10985,x10986,x10987,x10988,x10989),f820(x10982,x10983,x10984,x10985,x10986,x10987,x10988,x10989)) % 169.26/169.11 [1099]~E(x10991,x10992)+E(f820(x10993,x10991,x10994,x10995,x10996,x10997,x10998,x10999),f820(x10993,x10992,x10994,x10995,x10996,x10997,x10998,x10999)) % 169.26/169.11 [1100]~E(x11001,x11002)+E(f820(x11003,x11004,x11001,x11005,x11006,x11007,x11008,x11009),f820(x11003,x11004,x11002,x11005,x11006,x11007,x11008,x11009)) % 169.26/169.11 [1101]~E(x11011,x11012)+E(f820(x11013,x11014,x11015,x11011,x11016,x11017,x11018,x11019),f820(x11013,x11014,x11015,x11012,x11016,x11017,x11018,x11019)) % 169.26/169.11 [1102]~E(x11021,x11022)+E(f820(x11023,x11024,x11025,x11026,x11021,x11027,x11028,x11029),f820(x11023,x11024,x11025,x11026,x11022,x11027,x11028,x11029)) % 169.26/169.11 [1103]~E(x11031,x11032)+E(f820(x11033,x11034,x11035,x11036,x11037,x11031,x11038,x11039),f820(x11033,x11034,x11035,x11036,x11037,x11032,x11038,x11039)) % 169.26/169.11 [1104]~E(x11041,x11042)+E(f820(x11043,x11044,x11045,x11046,x11047,x11048,x11041,x11049),f820(x11043,x11044,x11045,x11046,x11047,x11048,x11042,x11049)) % 169.26/169.11 [1105]~E(x11051,x11052)+E(f820(x11053,x11054,x11055,x11056,x11057,x11058,x11059,x11051),f820(x11053,x11054,x11055,x11056,x11057,x11058,x11059,x11052)) % 169.26/169.11 [1106]~E(x11061,x11062)+E(f210(x11061,x11063,x11064,x11065),f210(x11062,x11063,x11064,x11065)) % 169.26/169.11 [1107]~E(x11071,x11072)+E(f210(x11073,x11071,x11074,x11075),f210(x11073,x11072,x11074,x11075)) % 169.26/169.11 [1108]~E(x11081,x11082)+E(f210(x11083,x11084,x11081,x11085),f210(x11083,x11084,x11082,x11085)) % 169.26/169.11 [1109]~E(x11091,x11092)+E(f210(x11093,x11094,x11095,x11091),f210(x11093,x11094,x11095,x11092)) % 169.26/169.11 [1110]~E(x11101,x11102)+E(f653(x11101,x11103),f653(x11102,x11103)) % 169.26/169.11 [1111]~E(x11111,x11112)+E(f653(x11113,x11111),f653(x11113,x11112)) % 169.26/169.11 [1112]~E(x11121,x11122)+E(f566(x11121,x11123,x11124,x11125,x11126),f566(x11122,x11123,x11124,x11125,x11126)) % 169.26/169.11 [1113]~E(x11131,x11132)+E(f566(x11133,x11131,x11134,x11135,x11136),f566(x11133,x11132,x11134,x11135,x11136)) % 169.26/169.11 [1114]~E(x11141,x11142)+E(f566(x11143,x11144,x11141,x11145,x11146),f566(x11143,x11144,x11142,x11145,x11146)) % 169.26/169.11 [1115]~E(x11151,x11152)+E(f566(x11153,x11154,x11155,x11151,x11156),f566(x11153,x11154,x11155,x11152,x11156)) % 169.26/169.11 [1116]~E(x11161,x11162)+E(f566(x11163,x11164,x11165,x11166,x11161),f566(x11163,x11164,x11165,x11166,x11162)) % 169.26/169.11 [1117]~E(x11171,x11172)+E(f882(x11171,x11173,x11174),f882(x11172,x11173,x11174)) % 169.26/169.11 [1118]~E(x11181,x11182)+E(f882(x11183,x11181,x11184),f882(x11183,x11182,x11184)) % 169.26/169.11 [1119]~E(x11191,x11192)+E(f882(x11193,x11194,x11191),f882(x11193,x11194,x11192)) % 169.26/169.11 [1120]~E(x11201,x11202)+E(f762(x11201,x11203,x11204),f762(x11202,x11203,x11204)) % 169.26/169.11 [1121]~E(x11211,x11212)+E(f762(x11213,x11211,x11214),f762(x11213,x11212,x11214)) % 169.26/169.11 [1122]~E(x11221,x11222)+E(f762(x11223,x11224,x11221),f762(x11223,x11224,x11222)) % 169.26/169.11 [1123]~E(x11231,x11232)+E(f629(x11231,x11233,x11234,x11235),f629(x11232,x11233,x11234,x11235)) % 169.26/169.11 [1124]~E(x11241,x11242)+E(f629(x11243,x11241,x11244,x11245),f629(x11243,x11242,x11244,x11245)) % 169.26/169.11 [1125]~E(x11251,x11252)+E(f629(x11253,x11254,x11251,x11255),f629(x11253,x11254,x11252,x11255)) % 169.26/169.11 [1126]~E(x11261,x11262)+E(f629(x11263,x11264,x11265,x11261),f629(x11263,x11264,x11265,x11262)) % 169.26/169.11 [1127]~E(x11271,x11272)+E(f421(x11271,x11273,x11274,x11275,x11276,x11277),f421(x11272,x11273,x11274,x11275,x11276,x11277)) % 169.26/169.11 [1128]~E(x11281,x11282)+E(f421(x11283,x11281,x11284,x11285,x11286,x11287),f421(x11283,x11282,x11284,x11285,x11286,x11287)) % 169.26/169.11 [1129]~E(x11291,x11292)+E(f421(x11293,x11294,x11291,x11295,x11296,x11297),f421(x11293,x11294,x11292,x11295,x11296,x11297)) % 169.26/169.11 [1130]~E(x11301,x11302)+E(f421(x11303,x11304,x11305,x11301,x11306,x11307),f421(x11303,x11304,x11305,x11302,x11306,x11307)) % 169.26/169.11 [1131]~E(x11311,x11312)+E(f421(x11313,x11314,x11315,x11316,x11311,x11317),f421(x11313,x11314,x11315,x11316,x11312,x11317)) % 169.26/169.11 [1132]~E(x11321,x11322)+E(f421(x11323,x11324,x11325,x11326,x11327,x11321),f421(x11323,x11324,x11325,x11326,x11327,x11322)) % 169.26/169.11 [1133]~E(x11331,x11332)+E(f570(x11331,x11333,x11334,x11335,x11336),f570(x11332,x11333,x11334,x11335,x11336)) % 169.26/169.11 [1134]~E(x11341,x11342)+E(f570(x11343,x11341,x11344,x11345,x11346),f570(x11343,x11342,x11344,x11345,x11346)) % 169.26/169.11 [1135]~E(x11351,x11352)+E(f570(x11353,x11354,x11351,x11355,x11356),f570(x11353,x11354,x11352,x11355,x11356)) % 169.26/169.11 [1136]~E(x11361,x11362)+E(f570(x11363,x11364,x11365,x11361,x11366),f570(x11363,x11364,x11365,x11362,x11366)) % 169.26/169.11 [1137]~E(x11371,x11372)+E(f570(x11373,x11374,x11375,x11376,x11371),f570(x11373,x11374,x11375,x11376,x11372)) % 169.26/169.11 [1138]~E(x11381,x11382)+E(f471(x11381,x11383,x11384),f471(x11382,x11383,x11384)) % 169.26/169.11 [1139]~E(x11391,x11392)+E(f471(x11393,x11391,x11394),f471(x11393,x11392,x11394)) % 169.26/169.11 [1140]~E(x11401,x11402)+E(f471(x11403,x11404,x11401),f471(x11403,x11404,x11402)) % 169.26/169.11 [1141]~E(x11411,x11412)+E(f133(x11411,x11413),f133(x11412,x11413)) % 169.26/169.11 [1142]~E(x11421,x11422)+E(f133(x11423,x11421),f133(x11423,x11422)) % 169.26/169.11 [1143]~E(x11431,x11432)+E(f548(x11431,x11433,x11434),f548(x11432,x11433,x11434)) % 169.26/169.11 [1144]~E(x11441,x11442)+E(f548(x11443,x11441,x11444),f548(x11443,x11442,x11444)) % 169.26/169.11 [1145]~E(x11451,x11452)+E(f548(x11453,x11454,x11451),f548(x11453,x11454,x11452)) % 169.26/169.11 [1146]~E(x11461,x11462)+E(f341(x11461,x11463),f341(x11462,x11463)) % 169.26/169.11 [1147]~E(x11471,x11472)+E(f341(x11473,x11471),f341(x11473,x11472)) % 169.26/169.11 [1148]~E(x11481,x11482)+E(f674(x11481,x11483,x11484,x11485,x11486),f674(x11482,x11483,x11484,x11485,x11486)) % 169.26/169.11 [1149]~E(x11491,x11492)+E(f674(x11493,x11491,x11494,x11495,x11496),f674(x11493,x11492,x11494,x11495,x11496)) % 169.26/169.11 [1150]~E(x11501,x11502)+E(f674(x11503,x11504,x11501,x11505,x11506),f674(x11503,x11504,x11502,x11505,x11506)) % 169.26/169.11 [1151]~E(x11511,x11512)+E(f674(x11513,x11514,x11515,x11511,x11516),f674(x11513,x11514,x11515,x11512,x11516)) % 169.26/169.11 [1152]~E(x11521,x11522)+E(f674(x11523,x11524,x11525,x11526,x11521),f674(x11523,x11524,x11525,x11526,x11522)) % 169.26/169.11 [1153]~E(x11531,x11532)+E(f553(x11531,x11533,x11534,x11535,x11536,x11537,x11538,x11539),f553(x11532,x11533,x11534,x11535,x11536,x11537,x11538,x11539)) % 169.26/169.11 [1154]~E(x11541,x11542)+E(f553(x11543,x11541,x11544,x11545,x11546,x11547,x11548,x11549),f553(x11543,x11542,x11544,x11545,x11546,x11547,x11548,x11549)) % 169.26/169.11 [1155]~E(x11551,x11552)+E(f553(x11553,x11554,x11551,x11555,x11556,x11557,x11558,x11559),f553(x11553,x11554,x11552,x11555,x11556,x11557,x11558,x11559)) % 169.26/169.11 [1156]~E(x11561,x11562)+E(f553(x11563,x11564,x11565,x11561,x11566,x11567,x11568,x11569),f553(x11563,x11564,x11565,x11562,x11566,x11567,x11568,x11569)) % 169.26/169.11 [1157]~E(x11571,x11572)+E(f553(x11573,x11574,x11575,x11576,x11571,x11577,x11578,x11579),f553(x11573,x11574,x11575,x11576,x11572,x11577,x11578,x11579)) % 169.26/169.11 [1158]~E(x11581,x11582)+E(f553(x11583,x11584,x11585,x11586,x11587,x11581,x11588,x11589),f553(x11583,x11584,x11585,x11586,x11587,x11582,x11588,x11589)) % 169.26/169.11 [1159]~E(x11591,x11592)+E(f553(x11593,x11594,x11595,x11596,x11597,x11598,x11591,x11599),f553(x11593,x11594,x11595,x11596,x11597,x11598,x11592,x11599)) % 169.26/169.11 [1160]~E(x11601,x11602)+E(f553(x11603,x11604,x11605,x11606,x11607,x11608,x11609,x11601),f553(x11603,x11604,x11605,x11606,x11607,x11608,x11609,x11602)) % 169.26/169.11 [1161]~E(x11611,x11612)+E(f367(x11611,x11613,x11614),f367(x11612,x11613,x11614)) % 169.26/169.11 [1162]~E(x11621,x11622)+E(f367(x11623,x11621,x11624),f367(x11623,x11622,x11624)) % 169.26/169.11 [1163]~E(x11631,x11632)+E(f367(x11633,x11634,x11631),f367(x11633,x11634,x11632)) % 169.26/169.11 [1164]~E(x11641,x11642)+E(f678(x11641,x11643,x11644,x11645,x11646),f678(x11642,x11643,x11644,x11645,x11646)) % 169.26/169.11 [1165]~E(x11651,x11652)+E(f678(x11653,x11651,x11654,x11655,x11656),f678(x11653,x11652,x11654,x11655,x11656)) % 169.26/169.11 [1166]~E(x11661,x11662)+E(f678(x11663,x11664,x11661,x11665,x11666),f678(x11663,x11664,x11662,x11665,x11666)) % 169.26/169.11 [1167]~E(x11671,x11672)+E(f678(x11673,x11674,x11675,x11671,x11676),f678(x11673,x11674,x11675,x11672,x11676)) % 169.26/169.11 [1168]~E(x11681,x11682)+E(f678(x11683,x11684,x11685,x11686,x11681),f678(x11683,x11684,x11685,x11686,x11682)) % 169.26/169.11 [1169]~E(x11691,x11692)+E(f785(x11691),f785(x11692)) % 169.26/169.11 [1170]~E(x11701,x11702)+E(f822(x11701,x11703,x11704,x11705),f822(x11702,x11703,x11704,x11705)) % 169.26/169.11 [1171]~E(x11711,x11712)+E(f822(x11713,x11711,x11714,x11715),f822(x11713,x11712,x11714,x11715)) % 169.26/169.11 [1172]~E(x11721,x11722)+E(f822(x11723,x11724,x11721,x11725),f822(x11723,x11724,x11722,x11725)) % 169.26/169.11 [1173]~E(x11731,x11732)+E(f822(x11733,x11734,x11735,x11731),f822(x11733,x11734,x11735,x11732)) % 169.26/169.11 [1174]~E(x11741,x11742)+E(f384(x11741,x11743),f384(x11742,x11743)) % 169.26/169.11 [1175]~E(x11751,x11752)+E(f384(x11753,x11751),f384(x11753,x11752)) % 169.26/169.11 [1176]~E(x11761,x11762)+E(f499(x11761,x11763,x11764,x11765),f499(x11762,x11763,x11764,x11765)) % 169.26/169.11 [1177]~E(x11771,x11772)+E(f499(x11773,x11771,x11774,x11775),f499(x11773,x11772,x11774,x11775)) % 169.26/169.11 [1178]~E(x11781,x11782)+E(f499(x11783,x11784,x11781,x11785),f499(x11783,x11784,x11782,x11785)) % 169.26/169.11 [1179]~E(x11791,x11792)+E(f499(x11793,x11794,x11795,x11791),f499(x11793,x11794,x11795,x11792)) % 169.26/169.11 [1180]~E(x11801,x11802)+E(f51(x11801),f51(x11802)) % 169.26/169.11 [1181]~E(x11811,x11812)+E(f658(x11811,x11813,x11814,x11815,x11816),f658(x11812,x11813,x11814,x11815,x11816)) % 169.26/169.11 [1182]~E(x11821,x11822)+E(f658(x11823,x11821,x11824,x11825,x11826),f658(x11823,x11822,x11824,x11825,x11826)) % 169.26/169.11 [1183]~E(x11831,x11832)+E(f658(x11833,x11834,x11831,x11835,x11836),f658(x11833,x11834,x11832,x11835,x11836)) % 169.26/169.11 [1184]~E(x11841,x11842)+E(f658(x11843,x11844,x11845,x11841,x11846),f658(x11843,x11844,x11845,x11842,x11846)) % 169.26/169.11 [1185]~E(x11851,x11852)+E(f658(x11853,x11854,x11855,x11856,x11851),f658(x11853,x11854,x11855,x11856,x11852)) % 169.26/169.11 [1186]~E(x11861,x11862)+E(f170(x11861),f170(x11862)) % 169.26/169.11 [1187]~E(x11871,x11872)+E(f394(x11871,x11873),f394(x11872,x11873)) % 169.26/169.11 [1188]~E(x11881,x11882)+E(f394(x11883,x11881),f394(x11883,x11882)) % 169.26/169.11 [1189]~E(x11891,x11892)+E(f602(x11891,x11893,x11894),f602(x11892,x11893,x11894)) % 169.26/169.11 [1190]~E(x11901,x11902)+E(f602(x11903,x11901,x11904),f602(x11903,x11902,x11904)) % 169.26/169.11 [1191]~E(x11911,x11912)+E(f602(x11913,x11914,x11911),f602(x11913,x11914,x11912)) % 169.26/169.11 [1192]~E(x11921,x11922)+E(f122(x11921,x11923),f122(x11922,x11923)) % 169.26/169.11 [1193]~E(x11931,x11932)+E(f122(x11933,x11931),f122(x11933,x11932)) % 169.26/169.11 [1194]~E(x11941,x11942)+E(f690(x11941,x11943,x11944),f690(x11942,x11943,x11944)) % 169.26/169.11 [1195]~E(x11951,x11952)+E(f690(x11953,x11951,x11954),f690(x11953,x11952,x11954)) % 169.26/169.11 [1196]~E(x11961,x11962)+E(f690(x11963,x11964,x11961),f690(x11963,x11964,x11962)) % 169.26/169.11 [1197]~E(x11971,x11972)+E(f259(x11971,x11973),f259(x11972,x11973)) % 169.26/169.11 [1198]~E(x11981,x11982)+E(f259(x11983,x11981),f259(x11983,x11982)) % 169.26/169.11 [1199]~E(x11991,x11992)+E(f618(x11991,x11993),f618(x11992,x11993)) % 169.26/169.11 [1200]~E(x12001,x12002)+E(f618(x12003,x12001),f618(x12003,x12002)) % 169.26/169.11 [1201]~E(x12011,x12012)+E(f373(x12011,x12013,x12014,x12015),f373(x12012,x12013,x12014,x12015)) % 169.26/169.11 [1202]~E(x12021,x12022)+E(f373(x12023,x12021,x12024,x12025),f373(x12023,x12022,x12024,x12025)) % 169.26/169.11 [1203]~E(x12031,x12032)+E(f373(x12033,x12034,x12031,x12035),f373(x12033,x12034,x12032,x12035)) % 169.26/169.11 [1204]~E(x12041,x12042)+E(f373(x12043,x12044,x12045,x12041),f373(x12043,x12044,x12045,x12042)) % 169.26/169.11 [1205]~E(x12051,x12052)+E(f372(x12051,x12053,x12054,x12055),f372(x12052,x12053,x12054,x12055)) % 169.26/169.11 [1206]~E(x12061,x12062)+E(f372(x12063,x12061,x12064,x12065),f372(x12063,x12062,x12064,x12065)) % 169.26/169.11 [1207]~E(x12071,x12072)+E(f372(x12073,x12074,x12071,x12075),f372(x12073,x12074,x12072,x12075)) % 169.26/169.11 [1208]~E(x12081,x12082)+E(f372(x12083,x12084,x12085,x12081),f372(x12083,x12084,x12085,x12082)) % 169.26/169.11 [1209]~E(x12091,x12092)+E(f769(x12091,x12093),f769(x12092,x12093)) % 169.26/169.11 [1210]~E(x12101,x12102)+E(f769(x12103,x12101),f769(x12103,x12102)) % 169.26/169.11 [1211]~E(x12111,x12112)+E(f622(x12111,x12113,x12114,x12115),f622(x12112,x12113,x12114,x12115)) % 169.26/169.11 [1212]~E(x12121,x12122)+E(f622(x12123,x12121,x12124,x12125),f622(x12123,x12122,x12124,x12125)) % 169.26/169.11 [1213]~E(x12131,x12132)+E(f622(x12133,x12134,x12131,x12135),f622(x12133,x12134,x12132,x12135)) % 169.26/169.11 [1214]~E(x12141,x12142)+E(f622(x12143,x12144,x12145,x12141),f622(x12143,x12144,x12145,x12142)) % 169.26/169.11 [1215]~E(x12151,x12152)+E(f395(x12151,x12153),f395(x12152,x12153)) % 169.26/169.11 [1216]~E(x12161,x12162)+E(f395(x12163,x12161),f395(x12163,x12162)) % 169.26/169.11 [1217]~E(x12171,x12172)+E(f585(x12171,x12173,x12174,x12175,x12176),f585(x12172,x12173,x12174,x12175,x12176)) % 169.26/169.11 [1218]~E(x12181,x12182)+E(f585(x12183,x12181,x12184,x12185,x12186),f585(x12183,x12182,x12184,x12185,x12186)) % 169.26/169.11 [1219]~E(x12191,x12192)+E(f585(x12193,x12194,x12191,x12195,x12196),f585(x12193,x12194,x12192,x12195,x12196)) % 169.26/169.11 [1220]~E(x12201,x12202)+E(f585(x12203,x12204,x12205,x12201,x12206),f585(x12203,x12204,x12205,x12202,x12206)) % 169.26/169.11 [1221]~E(x12211,x12212)+E(f585(x12213,x12214,x12215,x12216,x12211),f585(x12213,x12214,x12215,x12216,x12212)) % 169.26/169.11 [1222]~E(x12221,x12222)+E(f719(x12221,x12223,x12224,x12225),f719(x12222,x12223,x12224,x12225)) % 169.26/169.11 [1223]~E(x12231,x12232)+E(f719(x12233,x12231,x12234,x12235),f719(x12233,x12232,x12234,x12235)) % 169.26/169.11 [1224]~E(x12241,x12242)+E(f719(x12243,x12244,x12241,x12245),f719(x12243,x12244,x12242,x12245)) % 169.26/169.11 [1225]~E(x12251,x12252)+E(f719(x12253,x12254,x12255,x12251),f719(x12253,x12254,x12255,x12252)) % 169.26/169.11 [1226]~E(x12261,x12262)+E(f867(x12261,x12263,x12264),f867(x12262,x12263,x12264)) % 169.26/169.11 [1227]~E(x12271,x12272)+E(f867(x12273,x12271,x12274),f867(x12273,x12272,x12274)) % 169.26/169.11 [1228]~E(x12281,x12282)+E(f867(x12283,x12284,x12281),f867(x12283,x12284,x12282)) % 169.26/169.11 [1229]~E(x12291,x12292)+E(f777(x12291,x12293,x12294,x12295),f777(x12292,x12293,x12294,x12295)) % 169.26/169.11 [1230]~E(x12301,x12302)+E(f777(x12303,x12301,x12304,x12305),f777(x12303,x12302,x12304,x12305)) % 169.26/169.11 [1231]~E(x12311,x12312)+E(f777(x12313,x12314,x12311,x12315),f777(x12313,x12314,x12312,x12315)) % 169.26/169.11 [1232]~E(x12321,x12322)+E(f777(x12323,x12324,x12325,x12321),f777(x12323,x12324,x12325,x12322)) % 169.26/169.11 [1233]~E(x12331,x12332)+E(f189(x12331,x12333),f189(x12332,x12333)) % 169.26/169.11 [1234]~E(x12341,x12342)+E(f189(x12343,x12341),f189(x12343,x12342)) % 169.26/169.11 [1235]~E(x12351,x12352)+E(f422(x12351,x12353),f422(x12352,x12353)) % 169.26/169.11 [1236]~E(x12361,x12362)+E(f422(x12363,x12361),f422(x12363,x12362)) % 169.26/169.11 [1237]~E(x12371,x12372)+E(f841(x12371,x12373,x12374),f841(x12372,x12373,x12374)) % 169.26/169.11 [1238]~E(x12381,x12382)+E(f841(x12383,x12381,x12384),f841(x12383,x12382,x12384)) % 169.26/169.11 [1239]~E(x12391,x12392)+E(f841(x12393,x12394,x12391),f841(x12393,x12394,x12392)) % 169.26/169.11 [1240]~E(x12401,x12402)+E(f146(x12401,x12403,x12404,x12405),f146(x12402,x12403,x12404,x12405)) % 169.26/169.11 [1241]~E(x12411,x12412)+E(f146(x12413,x12411,x12414,x12415),f146(x12413,x12412,x12414,x12415)) % 169.26/169.11 [1242]~E(x12421,x12422)+E(f146(x12423,x12424,x12421,x12425),f146(x12423,x12424,x12422,x12425)) % 169.26/169.11 [1243]~E(x12431,x12432)+E(f146(x12433,x12434,x12435,x12431),f146(x12433,x12434,x12435,x12432)) % 169.26/169.11 [1244]~E(x12441,x12442)+E(f772(x12441,x12443),f772(x12442,x12443)) % 169.26/169.11 [1245]~E(x12451,x12452)+E(f772(x12453,x12451),f772(x12453,x12452)) % 169.26/169.11 [1246]~E(x12461,x12462)+E(f413(x12461,x12463,x12464,x12465),f413(x12462,x12463,x12464,x12465)) % 169.26/169.11 [1247]~E(x12471,x12472)+E(f413(x12473,x12471,x12474,x12475),f413(x12473,x12472,x12474,x12475)) % 169.26/169.11 [1248]~E(x12481,x12482)+E(f413(x12483,x12484,x12481,x12485),f413(x12483,x12484,x12482,x12485)) % 169.26/169.11 [1249]~E(x12491,x12492)+E(f413(x12493,x12494,x12495,x12491),f413(x12493,x12494,x12495,x12492)) % 169.26/169.11 [1250]~E(x12501,x12502)+E(f844(x12501,x12503,x12504),f844(x12502,x12503,x12504)) % 169.26/169.11 [1251]~E(x12511,x12512)+E(f844(x12513,x12511,x12514),f844(x12513,x12512,x12514)) % 169.26/169.11 [1252]~E(x12521,x12522)+E(f844(x12523,x12524,x12521),f844(x12523,x12524,x12522)) % 169.26/169.11 [1253]~E(x12531,x12532)+E(f583(x12531,x12533,x12534,x12535,x12536),f583(x12532,x12533,x12534,x12535,x12536)) % 169.26/169.11 [1254]~E(x12541,x12542)+E(f583(x12543,x12541,x12544,x12545,x12546),f583(x12543,x12542,x12544,x12545,x12546)) % 169.26/169.11 [1255]~E(x12551,x12552)+E(f583(x12553,x12554,x12551,x12555,x12556),f583(x12553,x12554,x12552,x12555,x12556)) % 169.26/169.11 [1256]~E(x12561,x12562)+E(f583(x12563,x12564,x12565,x12561,x12566),f583(x12563,x12564,x12565,x12562,x12566)) % 169.26/169.11 [1257]~E(x12571,x12572)+E(f583(x12573,x12574,x12575,x12576,x12571),f583(x12573,x12574,x12575,x12576,x12572)) % 169.26/169.11 [1258]~E(x12581,x12582)+E(f385(x12581,x12583),f385(x12582,x12583)) % 169.26/169.11 [1259]~E(x12591,x12592)+E(f385(x12593,x12591),f385(x12593,x12592)) % 169.26/169.11 [1260]~E(x12601,x12602)+E(f590(x12601,x12603),f590(x12602,x12603)) % 169.26/169.11 [1261]~E(x12611,x12612)+E(f590(x12613,x12611),f590(x12613,x12612)) % 169.26/169.11 [1262]~E(x12621,x12622)+E(f700(x12621,x12623,x12624),f700(x12622,x12623,x12624)) % 169.26/169.11 [1263]~E(x12631,x12632)+E(f700(x12633,x12631,x12634),f700(x12633,x12632,x12634)) % 169.26/169.11 [1264]~E(x12641,x12642)+E(f700(x12643,x12644,x12641),f700(x12643,x12644,x12642)) % 169.26/169.11 [1265]~E(x12651,x12652)+E(f453(x12651,x12653,x12654,x12655),f453(x12652,x12653,x12654,x12655)) % 169.26/169.11 [1266]~E(x12661,x12662)+E(f453(x12663,x12661,x12664,x12665),f453(x12663,x12662,x12664,x12665)) % 169.26/169.11 [1267]~E(x12671,x12672)+E(f453(x12673,x12674,x12671,x12675),f453(x12673,x12674,x12672,x12675)) % 169.26/169.11 [1268]~E(x12681,x12682)+E(f453(x12683,x12684,x12685,x12681),f453(x12683,x12684,x12685,x12682)) % 169.26/169.11 [1269]~E(x12691,x12692)+E(f335(x12691,x12693),f335(x12692,x12693)) % 169.26/169.11 [1270]~E(x12701,x12702)+E(f335(x12703,x12701),f335(x12703,x12702)) % 169.26/169.11 [1271]~E(x12711,x12712)+E(f427(x12711,x12713,x12714,x12715,x12716),f427(x12712,x12713,x12714,x12715,x12716)) % 169.26/169.11 [1272]~E(x12721,x12722)+E(f427(x12723,x12721,x12724,x12725,x12726),f427(x12723,x12722,x12724,x12725,x12726)) % 169.26/169.11 [1273]~E(x12731,x12732)+E(f427(x12733,x12734,x12731,x12735,x12736),f427(x12733,x12734,x12732,x12735,x12736)) % 169.26/169.11 [1274]~E(x12741,x12742)+E(f427(x12743,x12744,x12745,x12741,x12746),f427(x12743,x12744,x12745,x12742,x12746)) % 169.26/169.11 [1275]~E(x12751,x12752)+E(f427(x12753,x12754,x12755,x12756,x12751),f427(x12753,x12754,x12755,x12756,x12752)) % 169.26/169.11 [1276]~E(x12761,x12762)+E(f464(x12761,x12763,x12764,x12765,x12766),f464(x12762,x12763,x12764,x12765,x12766)) % 169.26/169.11 [1277]~E(x12771,x12772)+E(f464(x12773,x12771,x12774,x12775,x12776),f464(x12773,x12772,x12774,x12775,x12776)) % 169.26/169.11 [1278]~E(x12781,x12782)+E(f464(x12783,x12784,x12781,x12785,x12786),f464(x12783,x12784,x12782,x12785,x12786)) % 169.26/169.11 [1279]~E(x12791,x12792)+E(f464(x12793,x12794,x12795,x12791,x12796),f464(x12793,x12794,x12795,x12792,x12796)) % 169.26/169.11 [1280]~E(x12801,x12802)+E(f464(x12803,x12804,x12805,x12806,x12801),f464(x12803,x12804,x12805,x12806,x12802)) % 169.26/169.11 [1281]~E(x12811,x12812)+E(f756(x12811,x12813,x12814,x12815),f756(x12812,x12813,x12814,x12815)) % 169.26/169.11 [1282]~E(x12821,x12822)+E(f756(x12823,x12821,x12824,x12825),f756(x12823,x12822,x12824,x12825)) % 169.26/169.11 [1283]~E(x12831,x12832)+E(f756(x12833,x12834,x12831,x12835),f756(x12833,x12834,x12832,x12835)) % 169.26/169.11 [1284]~E(x12841,x12842)+E(f756(x12843,x12844,x12845,x12841),f756(x12843,x12844,x12845,x12842)) % 169.26/169.11 [1285]~E(x12851,x12852)+E(f163(x12851,x12853,x12854),f163(x12852,x12853,x12854)) % 169.26/169.11 [1286]~E(x12861,x12862)+E(f163(x12863,x12861,x12864),f163(x12863,x12862,x12864)) % 169.26/169.11 [1287]~E(x12871,x12872)+E(f163(x12873,x12874,x12871),f163(x12873,x12874,x12872)) % 169.26/169.11 [1288]~E(x12881,x12882)+E(f357(x12881,x12883,x12884,x12885),f357(x12882,x12883,x12884,x12885)) % 169.26/169.11 [1289]~E(x12891,x12892)+E(f357(x12893,x12891,x12894,x12895),f357(x12893,x12892,x12894,x12895)) % 169.26/169.11 [1290]~E(x12901,x12902)+E(f357(x12903,x12904,x12901,x12905),f357(x12903,x12904,x12902,x12905)) % 169.26/169.11 [1291]~E(x12911,x12912)+E(f357(x12913,x12914,x12915,x12911),f357(x12913,x12914,x12915,x12912)) % 169.26/169.11 [1292]~E(x12921,x12922)+E(f670(x12921,x12923,x12924,x12925,x12926),f670(x12922,x12923,x12924,x12925,x12926)) % 169.26/169.11 [1293]~E(x12931,x12932)+E(f670(x12933,x12931,x12934,x12935,x12936),f670(x12933,x12932,x12934,x12935,x12936)) % 169.26/169.11 [1294]~E(x12941,x12942)+E(f670(x12943,x12944,x12941,x12945,x12946),f670(x12943,x12944,x12942,x12945,x12946)) % 169.26/169.11 [1295]~E(x12951,x12952)+E(f670(x12953,x12954,x12955,x12951,x12956),f670(x12953,x12954,x12955,x12952,x12956)) % 169.26/169.11 [1296]~E(x12961,x12962)+E(f670(x12963,x12964,x12965,x12966,x12961),f670(x12963,x12964,x12965,x12966,x12962)) % 169.26/169.11 [1297]~E(x12971,x12972)+E(f509(x12971,x12973,x12974,x12975),f509(x12972,x12973,x12974,x12975)) % 169.26/169.11 [1298]~E(x12981,x12982)+E(f509(x12983,x12981,x12984,x12985),f509(x12983,x12982,x12984,x12985)) % 169.26/169.11 [1299]~E(x12991,x12992)+E(f509(x12993,x12994,x12991,x12995),f509(x12993,x12994,x12992,x12995)) % 169.26/169.11 [1300]~E(x13001,x13002)+E(f509(x13003,x13004,x13005,x13001),f509(x13003,x13004,x13005,x13002)) % 169.26/169.11 [1301]~E(x13011,x13012)+E(f56(x13011,x13013,x13014),f56(x13012,x13013,x13014)) % 169.26/169.11 [1302]~E(x13021,x13022)+E(f56(x13023,x13021,x13024),f56(x13023,x13022,x13024)) % 169.26/169.11 [1303]~E(x13031,x13032)+E(f56(x13033,x13034,x13031),f56(x13033,x13034,x13032)) % 169.26/169.11 [1304]~E(x13041,x13042)+E(f813(x13041,x13043,x13044,x13045,x13046),f813(x13042,x13043,x13044,x13045,x13046)) % 169.26/169.11 [1305]~E(x13051,x13052)+E(f813(x13053,x13051,x13054,x13055,x13056),f813(x13053,x13052,x13054,x13055,x13056)) % 169.26/169.11 [1306]~E(x13061,x13062)+E(f813(x13063,x13064,x13061,x13065,x13066),f813(x13063,x13064,x13062,x13065,x13066)) % 169.26/169.11 [1307]~E(x13071,x13072)+E(f813(x13073,x13074,x13075,x13071,x13076),f813(x13073,x13074,x13075,x13072,x13076)) % 169.26/169.11 [1308]~E(x13081,x13082)+E(f813(x13083,x13084,x13085,x13086,x13081),f813(x13083,x13084,x13085,x13086,x13082)) % 169.26/169.11 [1309]~E(x13091,x13092)+E(f349(x13091,x13093,x13094,x13095,x13096),f349(x13092,x13093,x13094,x13095,x13096)) % 169.26/169.11 [1310]~E(x13101,x13102)+E(f349(x13103,x13101,x13104,x13105,x13106),f349(x13103,x13102,x13104,x13105,x13106)) % 169.26/169.11 [1311]~E(x13111,x13112)+E(f349(x13113,x13114,x13111,x13115,x13116),f349(x13113,x13114,x13112,x13115,x13116)) % 169.26/169.11 [1312]~E(x13121,x13122)+E(f349(x13123,x13124,x13125,x13121,x13126),f349(x13123,x13124,x13125,x13122,x13126)) % 169.26/169.11 [1313]~E(x13131,x13132)+E(f349(x13133,x13134,x13135,x13136,x13131),f349(x13133,x13134,x13135,x13136,x13132)) % 169.26/169.11 [1314]~E(x13141,x13142)+E(f410(x13141,x13143,x13144),f410(x13142,x13143,x13144)) % 169.26/169.11 [1315]~E(x13151,x13152)+E(f410(x13153,x13151,x13154),f410(x13153,x13152,x13154)) % 169.26/169.11 [1316]~E(x13161,x13162)+E(f410(x13163,x13164,x13161),f410(x13163,x13164,x13162)) % 169.26/169.11 [1317]~E(x13171,x13172)+E(f309(x13171,x13173,x13174,x13175),f309(x13172,x13173,x13174,x13175)) % 169.26/169.11 [1318]~E(x13181,x13182)+E(f309(x13183,x13181,x13184,x13185),f309(x13183,x13182,x13184,x13185)) % 169.26/169.11 [1319]~E(x13191,x13192)+E(f309(x13193,x13194,x13191,x13195),f309(x13193,x13194,x13192,x13195)) % 169.26/169.11 [1320]~E(x13201,x13202)+E(f309(x13203,x13204,x13205,x13201),f309(x13203,x13204,x13205,x13202)) % 169.26/169.11 [1321]~E(x13211,x13212)+E(f686(x13211,x13213),f686(x13212,x13213)) % 169.26/169.11 [1322]~E(x13221,x13222)+E(f686(x13223,x13221),f686(x13223,x13222)) % 169.26/169.11 [1323]~E(x13231,x13232)+E(f758(x13231,x13233,x13234,x13235),f758(x13232,x13233,x13234,x13235)) % 169.26/169.11 [1324]~E(x13241,x13242)+E(f758(x13243,x13241,x13244,x13245),f758(x13243,x13242,x13244,x13245)) % 169.26/169.11 [1325]~E(x13251,x13252)+E(f758(x13253,x13254,x13251,x13255),f758(x13253,x13254,x13252,x13255)) % 169.26/169.11 [1326]~E(x13261,x13262)+E(f758(x13263,x13264,x13265,x13261),f758(x13263,x13264,x13265,x13262)) % 169.26/169.11 [1327]~E(x13271,x13272)+E(f574(x13271,x13273,x13274,x13275,x13276),f574(x13272,x13273,x13274,x13275,x13276)) % 169.26/169.11 [1328]~E(x13281,x13282)+E(f574(x13283,x13281,x13284,x13285,x13286),f574(x13283,x13282,x13284,x13285,x13286)) % 169.26/169.11 [1329]~E(x13291,x13292)+E(f574(x13293,x13294,x13291,x13295,x13296),f574(x13293,x13294,x13292,x13295,x13296)) % 169.26/169.11 [1330]~E(x13301,x13302)+E(f574(x13303,x13304,x13305,x13301,x13306),f574(x13303,x13304,x13305,x13302,x13306)) % 169.26/169.11 [1331]~E(x13311,x13312)+E(f574(x13313,x13314,x13315,x13316,x13311),f574(x13313,x13314,x13315,x13316,x13312)) % 169.26/169.11 [1332]~E(x13321,x13322)+E(f579(x13321,x13323,x13324),f579(x13322,x13323,x13324)) % 169.26/169.11 [1333]~E(x13331,x13332)+E(f579(x13333,x13331,x13334),f579(x13333,x13332,x13334)) % 169.26/169.11 [1334]~E(x13341,x13342)+E(f579(x13343,x13344,x13341),f579(x13343,x13344,x13342)) % 169.26/169.11 [1335]~E(x13351,x13352)+E(f848(x13351),f848(x13352)) % 169.26/169.11 [1336]~E(x13361,x13362)+E(f125(x13361),f125(x13362)) % 169.26/169.11 [1337]~E(x13371,x13372)+E(f868(x13371,x13373,x13374),f868(x13372,x13373,x13374)) % 169.26/169.11 [1338]~E(x13381,x13382)+E(f868(x13383,x13381,x13384),f868(x13383,x13382,x13384)) % 169.26/169.11 [1339]~E(x13391,x13392)+E(f868(x13393,x13394,x13391),f868(x13393,x13394,x13392)) % 169.26/169.11 [1340]~E(x13401,x13402)+E(f486(x13401,x13403,x13404,x13405,x13406),f486(x13402,x13403,x13404,x13405,x13406)) % 169.26/169.11 [1341]~E(x13411,x13412)+E(f486(x13413,x13411,x13414,x13415,x13416),f486(x13413,x13412,x13414,x13415,x13416)) % 169.26/169.11 [1342]~E(x13421,x13422)+E(f486(x13423,x13424,x13421,x13425,x13426),f486(x13423,x13424,x13422,x13425,x13426)) % 169.26/169.11 [1343]~E(x13431,x13432)+E(f486(x13433,x13434,x13435,x13431,x13436),f486(x13433,x13434,x13435,x13432,x13436)) % 169.26/169.11 [1344]~E(x13441,x13442)+E(f486(x13443,x13444,x13445,x13446,x13441),f486(x13443,x13444,x13445,x13446,x13442)) % 169.26/169.11 [1345]~E(x13451,x13452)+E(f498(x13451,x13453,x13454,x13455),f498(x13452,x13453,x13454,x13455)) % 169.26/169.11 [1346]~E(x13461,x13462)+E(f498(x13463,x13461,x13464,x13465),f498(x13463,x13462,x13464,x13465)) % 169.26/169.11 [1347]~E(x13471,x13472)+E(f498(x13473,x13474,x13471,x13475),f498(x13473,x13474,x13472,x13475)) % 169.26/169.11 [1348]~E(x13481,x13482)+E(f498(x13483,x13484,x13485,x13481),f498(x13483,x13484,x13485,x13482)) % 169.26/169.11 [1349]~E(x13491,x13492)+E(f838(x13491,x13493,x13494),f838(x13492,x13493,x13494)) % 169.26/169.11 [1350]~E(x13501,x13502)+E(f838(x13503,x13501,x13504),f838(x13503,x13502,x13504)) % 169.26/169.11 [1351]~E(x13511,x13512)+E(f838(x13513,x13514,x13511),f838(x13513,x13514,x13512)) % 169.26/169.11 [1352]~E(x13521,x13522)+E(f569(x13521,x13523,x13524,x13525),f569(x13522,x13523,x13524,x13525)) % 169.26/169.11 [1353]~E(x13531,x13532)+E(f569(x13533,x13531,x13534,x13535),f569(x13533,x13532,x13534,x13535)) % 169.26/169.11 [1354]~E(x13541,x13542)+E(f569(x13543,x13544,x13541,x13545),f569(x13543,x13544,x13542,x13545)) % 169.26/169.11 [1355]~E(x13551,x13552)+E(f569(x13553,x13554,x13555,x13551),f569(x13553,x13554,x13555,x13552)) % 169.26/169.11 [1356]~E(x13561,x13562)+E(f322(x13561),f322(x13562)) % 169.26/169.11 [1357]~E(x13571,x13572)+E(f613(x13571,x13573),f613(x13572,x13573)) % 169.26/169.11 [1358]~E(x13581,x13582)+E(f613(x13583,x13581),f613(x13583,x13582)) % 169.26/169.11 [1359]~E(x13591,x13592)+E(f660(x13591,x13593,x13594,x13595),f660(x13592,x13593,x13594,x13595)) % 169.26/169.11 [1360]~E(x13601,x13602)+E(f660(x13603,x13601,x13604,x13605),f660(x13603,x13602,x13604,x13605)) % 169.26/169.11 [1361]~E(x13611,x13612)+E(f660(x13613,x13614,x13611,x13615),f660(x13613,x13614,x13612,x13615)) % 169.26/169.11 [1362]~E(x13621,x13622)+E(f660(x13623,x13624,x13625,x13621),f660(x13623,x13624,x13625,x13622)) % 169.26/169.11 [1363]~E(x13631,x13632)+E(f890(x13631,x13633,x13634),f890(x13632,x13633,x13634)) % 169.26/169.11 [1364]~E(x13641,x13642)+E(f890(x13643,x13641,x13644),f890(x13643,x13642,x13644)) % 169.26/169.11 [1365]~E(x13651,x13652)+E(f890(x13653,x13654,x13651),f890(x13653,x13654,x13652)) % 169.26/169.11 [1366]~E(x13661,x13662)+E(f494(x13661,x13663),f494(x13662,x13663)) % 169.26/169.11 [1367]~E(x13671,x13672)+E(f494(x13673,x13671),f494(x13673,x13672)) % 169.26/169.11 [1368]~E(x13681,x13682)+E(f284(x13681,x13683,x13684),f284(x13682,x13683,x13684)) % 169.26/169.11 [1369]~E(x13691,x13692)+E(f284(x13693,x13691,x13694),f284(x13693,x13692,x13694)) % 169.26/169.11 [1370]~E(x13701,x13702)+E(f284(x13703,x13704,x13701),f284(x13703,x13704,x13702)) % 169.26/169.11 [1371]~E(x13711,x13712)+E(f757(x13711,x13713,x13714,x13715),f757(x13712,x13713,x13714,x13715)) % 169.26/169.11 [1372]~E(x13721,x13722)+E(f757(x13723,x13721,x13724,x13725),f757(x13723,x13722,x13724,x13725)) % 169.26/169.11 [1373]~E(x13731,x13732)+E(f757(x13733,x13734,x13731,x13735),f757(x13733,x13734,x13732,x13735)) % 169.26/169.11 [1374]~E(x13741,x13742)+E(f757(x13743,x13744,x13745,x13741),f757(x13743,x13744,x13745,x13742)) % 169.26/169.11 [1375]~E(x13751,x13752)+E(f190(x13751),f190(x13752)) % 169.26/169.11 [1376]~E(x13761,x13762)+E(f799(x13761),f799(x13762)) % 169.26/169.11 [1377]~E(x13771,x13772)+E(f329(x13771,x13773,x13774,x13775),f329(x13772,x13773,x13774,x13775)) % 169.26/169.11 [1378]~E(x13781,x13782)+E(f329(x13783,x13781,x13784,x13785),f329(x13783,x13782,x13784,x13785)) % 169.26/169.11 [1379]~E(x13791,x13792)+E(f329(x13793,x13794,x13791,x13795),f329(x13793,x13794,x13792,x13795)) % 169.26/169.11 [1380]~E(x13801,x13802)+E(f329(x13803,x13804,x13805,x13801),f329(x13803,x13804,x13805,x13802)) % 169.26/169.11 [1381]~E(x13811,x13812)+E(f258(x13811,x13813),f258(x13812,x13813)) % 169.26/169.11 [1382]~E(x13821,x13822)+E(f258(x13823,x13821),f258(x13823,x13822)) % 169.26/169.11 [1383]~E(x13831,x13832)+E(f262(x13831,x13833),f262(x13832,x13833)) % 169.26/169.11 [1384]~E(x13841,x13842)+E(f262(x13843,x13841),f262(x13843,x13842)) % 169.26/169.11 [1385]~E(x13851,x13852)+E(f661(x13851,x13853,x13854,x13855,x13856),f661(x13852,x13853,x13854,x13855,x13856)) % 169.26/169.11 [1386]~E(x13861,x13862)+E(f661(x13863,x13861,x13864,x13865,x13866),f661(x13863,x13862,x13864,x13865,x13866)) % 169.26/169.11 [1387]~E(x13871,x13872)+E(f661(x13873,x13874,x13871,x13875,x13876),f661(x13873,x13874,x13872,x13875,x13876)) % 169.26/169.11 [1388]~E(x13881,x13882)+E(f661(x13883,x13884,x13885,x13881,x13886),f661(x13883,x13884,x13885,x13882,x13886)) % 169.26/169.11 [1389]~E(x13891,x13892)+E(f661(x13893,x13894,x13895,x13896,x13891),f661(x13893,x13894,x13895,x13896,x13892)) % 169.26/169.11 [1390]~E(x13901,x13902)+E(f545(x13901,x13903,x13904,x13905,x13906),f545(x13902,x13903,x13904,x13905,x13906)) % 169.26/169.11 [1391]~E(x13911,x13912)+E(f545(x13913,x13911,x13914,x13915,x13916),f545(x13913,x13912,x13914,x13915,x13916)) % 169.26/169.11 [1392]~E(x13921,x13922)+E(f545(x13923,x13924,x13921,x13925,x13926),f545(x13923,x13924,x13922,x13925,x13926)) % 169.26/169.11 [1393]~E(x13931,x13932)+E(f545(x13933,x13934,x13935,x13931,x13936),f545(x13933,x13934,x13935,x13932,x13936)) % 169.26/169.11 [1394]~E(x13941,x13942)+E(f545(x13943,x13944,x13945,x13946,x13941),f545(x13943,x13944,x13945,x13946,x13942)) % 169.26/169.11 [1395]~E(x13951,x13952)+E(f871(x13951,x13953,x13954),f871(x13952,x13953,x13954)) % 169.26/169.11 [1396]~E(x13961,x13962)+E(f871(x13963,x13961,x13964),f871(x13963,x13962,x13964)) % 169.26/169.11 [1397]~E(x13971,x13972)+E(f871(x13973,x13974,x13971),f871(x13973,x13974,x13972)) % 169.26/169.11 [1398]~E(x13981,x13982)+E(f616(x13981,x13983,x13984),f616(x13982,x13983,x13984)) % 169.26/169.11 [1399]~E(x13991,x13992)+E(f616(x13993,x13991,x13994),f616(x13993,x13992,x13994)) % 169.26/169.11 [1400]~E(x14001,x14002)+E(f616(x14003,x14004,x14001),f616(x14003,x14004,x14002)) % 169.26/169.11 [1401]~E(x14011,x14012)+E(f869(x14011,x14013),f869(x14012,x14013)) % 169.26/169.11 [1402]~E(x14021,x14022)+E(f869(x14023,x14021),f869(x14023,x14022)) % 169.26/169.11 [1403]~E(x14031,x14032)+E(f580(x14031,x14033,x14034,x14035),f580(x14032,x14033,x14034,x14035)) % 169.26/169.11 [1404]~E(x14041,x14042)+E(f580(x14043,x14041,x14044,x14045),f580(x14043,x14042,x14044,x14045)) % 169.26/169.11 [1405]~E(x14051,x14052)+E(f580(x14053,x14054,x14051,x14055),f580(x14053,x14054,x14052,x14055)) % 169.26/169.11 [1406]~E(x14061,x14062)+E(f580(x14063,x14064,x14065,x14061),f580(x14063,x14064,x14065,x14062)) % 169.26/169.11 [1407]~E(x14071,x14072)+E(f637(x14071,x14073,x14074),f637(x14072,x14073,x14074)) % 169.26/169.11 [1408]~E(x14081,x14082)+E(f637(x14083,x14081,x14084),f637(x14083,x14082,x14084)) % 169.26/169.11 [1409]~E(x14091,x14092)+E(f637(x14093,x14094,x14091),f637(x14093,x14094,x14092)) % 169.26/169.11 [1410]~E(x14101,x14102)+E(f743(x14101,x14103,x14104),f743(x14102,x14103,x14104)) % 169.26/169.11 [1411]~E(x14111,x14112)+E(f743(x14113,x14111,x14114),f743(x14113,x14112,x14114)) % 169.26/169.11 [1412]~E(x14121,x14122)+E(f743(x14123,x14124,x14121),f743(x14123,x14124,x14122)) % 169.26/169.11 [1413]~E(x14131,x14132)+E(f399(x14131,x14133,x14134),f399(x14132,x14133,x14134)) % 169.26/169.11 [1414]~E(x14141,x14142)+E(f399(x14143,x14141,x14144),f399(x14143,x14142,x14144)) % 169.26/169.11 [1415]~E(x14151,x14152)+E(f399(x14153,x14154,x14151),f399(x14153,x14154,x14152)) % 169.26/169.11 [1416]~E(x14161,x14162)+E(f473(x14161,x14163,x14164,x14165,x14166,x14167),f473(x14162,x14163,x14164,x14165,x14166,x14167)) % 169.26/169.11 [1417]~E(x14171,x14172)+E(f473(x14173,x14171,x14174,x14175,x14176,x14177),f473(x14173,x14172,x14174,x14175,x14176,x14177)) % 169.26/169.11 [1418]~E(x14181,x14182)+E(f473(x14183,x14184,x14181,x14185,x14186,x14187),f473(x14183,x14184,x14182,x14185,x14186,x14187)) % 169.26/169.11 [1419]~E(x14191,x14192)+E(f473(x14193,x14194,x14195,x14191,x14196,x14197),f473(x14193,x14194,x14195,x14192,x14196,x14197)) % 169.26/169.11 [1420]~E(x14201,x14202)+E(f473(x14203,x14204,x14205,x14206,x14201,x14207),f473(x14203,x14204,x14205,x14206,x14202,x14207)) % 169.26/169.11 [1421]~E(x14211,x14212)+E(f473(x14213,x14214,x14215,x14216,x14217,x14211),f473(x14213,x14214,x14215,x14216,x14217,x14212)) % 169.26/169.11 [1422]~E(x14221,x14222)+E(f227(x14221,x14223),f227(x14222,x14223)) % 169.26/169.11 [1423]~E(x14231,x14232)+E(f227(x14233,x14231),f227(x14233,x14232)) % 169.26/169.11 [1424]~E(x14241,x14242)+E(f781(x14241,x14243),f781(x14242,x14243)) % 169.26/169.11 [1425]~E(x14251,x14252)+E(f781(x14253,x14251),f781(x14253,x14252)) % 169.26/169.11 [1426]~E(x14261,x14262)+E(f738(x14261,x14263,x14264),f738(x14262,x14263,x14264)) % 169.26/169.11 [1427]~E(x14271,x14272)+E(f738(x14273,x14271,x14274),f738(x14273,x14272,x14274)) % 169.26/169.11 [1428]~E(x14281,x14282)+E(f738(x14283,x14284,x14281),f738(x14283,x14284,x14282)) % 169.26/169.11 [1429]~E(x14291,x14292)+E(f475(x14291,x14293,x14294,x14295,x14296,x14297),f475(x14292,x14293,x14294,x14295,x14296,x14297)) % 169.26/169.11 [1430]~E(x14301,x14302)+E(f475(x14303,x14301,x14304,x14305,x14306,x14307),f475(x14303,x14302,x14304,x14305,x14306,x14307)) % 169.26/169.11 [1431]~E(x14311,x14312)+E(f475(x14313,x14314,x14311,x14315,x14316,x14317),f475(x14313,x14314,x14312,x14315,x14316,x14317)) % 169.26/169.11 [1432]~E(x14321,x14322)+E(f475(x14323,x14324,x14325,x14321,x14326,x14327),f475(x14323,x14324,x14325,x14322,x14326,x14327)) % 169.26/169.11 [1433]~E(x14331,x14332)+E(f475(x14333,x14334,x14335,x14336,x14331,x14337),f475(x14333,x14334,x14335,x14336,x14332,x14337)) % 169.26/169.11 [1434]~E(x14341,x14342)+E(f475(x14343,x14344,x14345,x14346,x14347,x14341),f475(x14343,x14344,x14345,x14346,x14347,x14342)) % 169.26/169.11 [1435]~E(x14351,x14352)+E(f411(x14351,x14353,x14354,x14355),f411(x14352,x14353,x14354,x14355)) % 169.26/169.11 [1436]~E(x14361,x14362)+E(f411(x14363,x14361,x14364,x14365),f411(x14363,x14362,x14364,x14365)) % 169.26/169.11 [1437]~E(x14371,x14372)+E(f411(x14373,x14374,x14371,x14375),f411(x14373,x14374,x14372,x14375)) % 169.26/169.11 [1438]~E(x14381,x14382)+E(f411(x14383,x14384,x14385,x14381),f411(x14383,x14384,x14385,x14382)) % 169.26/169.11 [1439]~E(x14391,x14392)+E(f481(x14391,x14393,x14394,x14395,x14396),f481(x14392,x14393,x14394,x14395,x14396)) % 169.26/169.11 [1440]~E(x14401,x14402)+E(f481(x14403,x14401,x14404,x14405,x14406),f481(x14403,x14402,x14404,x14405,x14406)) % 169.26/169.11 [1441]~E(x14411,x14412)+E(f481(x14413,x14414,x14411,x14415,x14416),f481(x14413,x14414,x14412,x14415,x14416)) % 169.26/169.11 [1442]~E(x14421,x14422)+E(f481(x14423,x14424,x14425,x14421,x14426),f481(x14423,x14424,x14425,x14422,x14426)) % 169.26/169.11 [1443]~E(x14431,x14432)+E(f481(x14433,x14434,x14435,x14436,x14431),f481(x14433,x14434,x14435,x14436,x14432)) % 169.26/169.11 [1444]~E(x14441,x14442)+E(f596(x14441,x14443,x14444),f596(x14442,x14443,x14444)) % 169.26/169.11 [1445]~E(x14451,x14452)+E(f596(x14453,x14451,x14454),f596(x14453,x14452,x14454)) % 169.26/169.11 [1446]~E(x14461,x14462)+E(f596(x14463,x14464,x14461),f596(x14463,x14464,x14462)) % 169.26/169.11 [1447]~E(x14471,x14472)+E(f814(x14471,x14473,x14474),f814(x14472,x14473,x14474)) % 169.26/169.11 [1448]~E(x14481,x14482)+E(f814(x14483,x14481,x14484),f814(x14483,x14482,x14484)) % 169.26/169.11 [1449]~E(x14491,x14492)+E(f814(x14493,x14494,x14491),f814(x14493,x14494,x14492)) % 169.26/169.11 [1450]~E(x14501,x14502)+E(f538(x14501,x14503,x14504),f538(x14502,x14503,x14504)) % 169.26/169.11 [1451]~E(x14511,x14512)+E(f538(x14513,x14511,x14514),f538(x14513,x14512,x14514)) % 169.26/169.11 [1452]~E(x14521,x14522)+E(f538(x14523,x14524,x14521),f538(x14523,x14524,x14522)) % 169.26/169.11 [1453]~E(x14531,x14532)+E(f239(x14531,x14533,x14534),f239(x14532,x14533,x14534)) % 169.26/169.11 [1454]~E(x14541,x14542)+E(f239(x14543,x14541,x14544),f239(x14543,x14542,x14544)) % 169.26/169.11 [1455]~E(x14551,x14552)+E(f239(x14553,x14554,x14551),f239(x14553,x14554,x14552)) % 169.26/169.11 [1456]~E(x14561,x14562)+E(f82(x14561),f82(x14562)) % 169.26/169.11 [1457]~E(x14571,x14572)+E(f206(x14571,x14573),f206(x14572,x14573)) % 169.26/169.11 [1458]~E(x14581,x14582)+E(f206(x14583,x14581),f206(x14583,x14582)) % 169.26/169.11 [1459]~E(x14591,x14592)+E(f825(x14591,x14593,x14594,x14595,x14596,x14597),f825(x14592,x14593,x14594,x14595,x14596,x14597)) % 169.26/169.11 [1460]~E(x14601,x14602)+E(f825(x14603,x14601,x14604,x14605,x14606,x14607),f825(x14603,x14602,x14604,x14605,x14606,x14607)) % 169.26/169.11 [1461]~E(x14611,x14612)+E(f825(x14613,x14614,x14611,x14615,x14616,x14617),f825(x14613,x14614,x14612,x14615,x14616,x14617)) % 169.26/169.11 [1462]~E(x14621,x14622)+E(f825(x14623,x14624,x14625,x14621,x14626,x14627),f825(x14623,x14624,x14625,x14622,x14626,x14627)) % 169.26/169.11 [1463]~E(x14631,x14632)+E(f825(x14633,x14634,x14635,x14636,x14631,x14637),f825(x14633,x14634,x14635,x14636,x14632,x14637)) % 169.26/169.11 [1464]~E(x14641,x14642)+E(f825(x14643,x14644,x14645,x14646,x14647,x14641),f825(x14643,x14644,x14645,x14646,x14647,x14642)) % 169.26/169.11 [1465]~E(x14651,x14652)+E(f264(x14651,x14653,x14654),f264(x14652,x14653,x14654)) % 169.26/169.11 [1466]~E(x14661,x14662)+E(f264(x14663,x14661,x14664),f264(x14663,x14662,x14664)) % 169.26/169.11 [1467]~E(x14671,x14672)+E(f264(x14673,x14674,x14671),f264(x14673,x14674,x14672)) % 169.26/169.11 [1468]~E(x14681,x14682)+E(f874(x14681,x14683,x14684),f874(x14682,x14683,x14684)) % 169.26/169.11 [1469]~E(x14691,x14692)+E(f874(x14693,x14691,x14694),f874(x14693,x14692,x14694)) % 169.26/169.11 [1470]~E(x14701,x14702)+E(f874(x14703,x14704,x14701),f874(x14703,x14704,x14702)) % 169.26/169.11 [1471]~E(x14711,x14712)+E(f698(x14711,x14713,x14714,x14715,x14716),f698(x14712,x14713,x14714,x14715,x14716)) % 169.26/169.11 [1472]~E(x14721,x14722)+E(f698(x14723,x14721,x14724,x14725,x14726),f698(x14723,x14722,x14724,x14725,x14726)) % 169.26/169.11 [1473]~E(x14731,x14732)+E(f698(x14733,x14734,x14731,x14735,x14736),f698(x14733,x14734,x14732,x14735,x14736)) % 169.26/169.11 [1474]~E(x14741,x14742)+E(f698(x14743,x14744,x14745,x14741,x14746),f698(x14743,x14744,x14745,x14742,x14746)) % 169.26/169.11 [1475]~E(x14751,x14752)+E(f698(x14753,x14754,x14755,x14756,x14751),f698(x14753,x14754,x14755,x14756,x14752)) % 169.26/169.11 [1476]~E(x14761,x14762)+E(f52(x14761),f52(x14762)) % 169.26/169.11 [1477]~E(x14771,x14772)+E(f462(x14771,x14773,x14774),f462(x14772,x14773,x14774)) % 169.26/169.11 [1478]~E(x14781,x14782)+E(f462(x14783,x14781,x14784),f462(x14783,x14782,x14784)) % 169.26/169.11 [1479]~E(x14791,x14792)+E(f462(x14793,x14794,x14791),f462(x14793,x14794,x14792)) % 169.26/169.11 [1480]~E(x14801,x14802)+E(f543(x14801,x14803,x14804),f543(x14802,x14803,x14804)) % 169.26/169.11 [1481]~E(x14811,x14812)+E(f543(x14813,x14811,x14814),f543(x14813,x14812,x14814)) % 169.26/169.11 [1482]~E(x14821,x14822)+E(f543(x14823,x14824,x14821),f543(x14823,x14824,x14822)) % 169.26/169.11 [1483]~E(x14831,x14832)+E(f237(x14831,x14833,x14834),f237(x14832,x14833,x14834)) % 169.26/169.11 [1484]~E(x14841,x14842)+E(f237(x14843,x14841,x14844),f237(x14843,x14842,x14844)) % 169.26/169.11 [1485]~E(x14851,x14852)+E(f237(x14853,x14854,x14851),f237(x14853,x14854,x14852)) % 169.26/169.11 [1486]~E(x14861,x14862)+E(f549(x14861,x14863,x14864,x14865,x14866),f549(x14862,x14863,x14864,x14865,x14866)) % 169.26/169.11 [1487]~E(x14871,x14872)+E(f549(x14873,x14871,x14874,x14875,x14876),f549(x14873,x14872,x14874,x14875,x14876)) % 169.26/169.11 [1488]~E(x14881,x14882)+E(f549(x14883,x14884,x14881,x14885,x14886),f549(x14883,x14884,x14882,x14885,x14886)) % 169.26/169.11 [1489]~E(x14891,x14892)+E(f549(x14893,x14894,x14895,x14891,x14896),f549(x14893,x14894,x14895,x14892,x14896)) % 169.26/169.11 [1490]~E(x14901,x14902)+E(f549(x14903,x14904,x14905,x14906,x14901),f549(x14903,x14904,x14905,x14906,x14902)) % 169.26/169.11 [1491]~E(x14911,x14912)+E(f809(x14911,x14913,x14914),f809(x14912,x14913,x14914)) % 169.26/169.11 [1492]~E(x14921,x14922)+E(f809(x14923,x14921,x14924),f809(x14923,x14922,x14924)) % 169.26/169.11 [1493]~E(x14931,x14932)+E(f809(x14933,x14934,x14931),f809(x14933,x14934,x14932)) % 169.26/169.11 [1494]~E(x14941,x14942)+E(f881(x14941,x14943,x14944),f881(x14942,x14943,x14944)) % 169.26/169.11 [1495]~E(x14951,x14952)+E(f881(x14953,x14951,x14954),f881(x14953,x14952,x14954)) % 169.26/169.11 [1496]~E(x14961,x14962)+E(f881(x14963,x14964,x14961),f881(x14963,x14964,x14962)) % 169.26/169.11 [1497]~E(x14971,x14972)+E(f368(x14971,x14973,x14974),f368(x14972,x14973,x14974)) % 169.26/169.11 [1498]~E(x14981,x14982)+E(f368(x14983,x14981,x14984),f368(x14983,x14982,x14984)) % 169.26/169.11 [1499]~E(x14991,x14992)+E(f368(x14993,x14994,x14991),f368(x14993,x14994,x14992)) % 169.26/169.11 [1500]~E(x15001,x15002)+E(f507(x15001,x15003,x15004,x15005),f507(x15002,x15003,x15004,x15005)) % 169.26/169.11 [1501]~E(x15011,x15012)+E(f507(x15013,x15011,x15014,x15015),f507(x15013,x15012,x15014,x15015)) % 169.26/169.11 [1502]~E(x15021,x15022)+E(f507(x15023,x15024,x15021,x15025),f507(x15023,x15024,x15022,x15025)) % 169.26/169.11 [1503]~E(x15031,x15032)+E(f507(x15033,x15034,x15035,x15031),f507(x15033,x15034,x15035,x15032)) % 169.26/169.11 [1504]~E(x15041,x15042)+E(f472(x15041,x15043,x15044,x15045),f472(x15042,x15043,x15044,x15045)) % 169.26/169.11 [1505]~E(x15051,x15052)+E(f472(x15053,x15051,x15054,x15055),f472(x15053,x15052,x15054,x15055)) % 169.26/169.11 [1506]~E(x15061,x15062)+E(f472(x15063,x15064,x15061,x15065),f472(x15063,x15064,x15062,x15065)) % 169.26/169.11 [1507]~E(x15071,x15072)+E(f472(x15073,x15074,x15075,x15071),f472(x15073,x15074,x15075,x15072)) % 169.26/169.11 [1508]~E(x15081,x15082)+E(f381(x15081,x15083),f381(x15082,x15083)) % 169.26/169.11 [1509]~E(x15091,x15092)+E(f381(x15093,x15091),f381(x15093,x15092)) % 169.26/169.11 [1510]~E(x15101,x15102)+E(f532(x15101,x15103,x15104,x15105,x15106,x15107,x15108,x15109),f532(x15102,x15103,x15104,x15105,x15106,x15107,x15108,x15109)) % 169.26/169.11 [1511]~E(x15111,x15112)+E(f532(x15113,x15111,x15114,x15115,x15116,x15117,x15118,x15119),f532(x15113,x15112,x15114,x15115,x15116,x15117,x15118,x15119)) % 169.26/169.11 [1512]~E(x15121,x15122)+E(f532(x15123,x15124,x15121,x15125,x15126,x15127,x15128,x15129),f532(x15123,x15124,x15122,x15125,x15126,x15127,x15128,x15129)) % 169.26/169.11 [1513]~E(x15131,x15132)+E(f532(x15133,x15134,x15135,x15131,x15136,x15137,x15138,x15139),f532(x15133,x15134,x15135,x15132,x15136,x15137,x15138,x15139)) % 169.26/169.11 [1514]~E(x15141,x15142)+E(f532(x15143,x15144,x15145,x15146,x15141,x15147,x15148,x15149),f532(x15143,x15144,x15145,x15146,x15142,x15147,x15148,x15149)) % 169.26/169.11 [1515]~E(x15151,x15152)+E(f532(x15153,x15154,x15155,x15156,x15157,x15151,x15158,x15159),f532(x15153,x15154,x15155,x15156,x15157,x15152,x15158,x15159)) % 169.26/169.11 [1516]~E(x15161,x15162)+E(f532(x15163,x15164,x15165,x15166,x15167,x15168,x15161,x15169),f532(x15163,x15164,x15165,x15166,x15167,x15168,x15162,x15169)) % 169.26/169.11 [1517]~E(x15171,x15172)+E(f532(x15173,x15174,x15175,x15176,x15177,x15178,x15179,x15171),f532(x15173,x15174,x15175,x15176,x15177,x15178,x15179,x15172)) % 169.26/169.11 [1518]~E(x15181,x15182)+E(f33(x15181),f33(x15182)) % 169.26/169.11 [1519]~E(x15191,x15192)+E(f576(x15191,x15193,x15194,x15195,x15196),f576(x15192,x15193,x15194,x15195,x15196)) % 169.26/169.11 [1520]~E(x15201,x15202)+E(f576(x15203,x15201,x15204,x15205,x15206),f576(x15203,x15202,x15204,x15205,x15206)) % 169.26/169.11 [1521]~E(x15211,x15212)+E(f576(x15213,x15214,x15211,x15215,x15216),f576(x15213,x15214,x15212,x15215,x15216)) % 169.26/169.11 [1522]~E(x15221,x15222)+E(f576(x15223,x15224,x15225,x15221,x15226),f576(x15223,x15224,x15225,x15222,x15226)) % 169.26/169.11 [1523]~E(x15231,x15232)+E(f576(x15233,x15234,x15235,x15236,x15231),f576(x15233,x15234,x15235,x15236,x15232)) % 169.26/169.11 [1524]~E(x15241,x15242)+E(f728(x15241,x15243),f728(x15242,x15243)) % 169.26/169.11 [1525]~E(x15251,x15252)+E(f728(x15253,x15251),f728(x15253,x15252)) % 169.26/169.11 [1526]~E(x15261,x15262)+E(f696(x15261,x15263,x15264),f696(x15262,x15263,x15264)) % 169.26/169.11 [1527]~E(x15271,x15272)+E(f696(x15273,x15271,x15274),f696(x15273,x15272,x15274)) % 169.26/169.11 [1528]~E(x15281,x15282)+E(f696(x15283,x15284,x15281),f696(x15283,x15284,x15282)) % 169.26/169.11 [1529]~E(x15291,x15292)+E(f648(x15291,x15293,x15294,x15295),f648(x15292,x15293,x15294,x15295)) % 169.26/169.11 [1530]~E(x15301,x15302)+E(f648(x15303,x15301,x15304,x15305),f648(x15303,x15302,x15304,x15305)) % 169.26/169.11 [1531]~E(x15311,x15312)+E(f648(x15313,x15314,x15311,x15315),f648(x15313,x15314,x15312,x15315)) % 169.26/169.11 [1532]~E(x15321,x15322)+E(f648(x15323,x15324,x15325,x15321),f648(x15323,x15324,x15325,x15322)) % 169.26/169.11 [1533]~E(x15331,x15332)+E(f120(x15331,x15333,x15334,x15335),f120(x15332,x15333,x15334,x15335)) % 169.26/169.11 [1534]~E(x15341,x15342)+E(f120(x15343,x15341,x15344,x15345),f120(x15343,x15342,x15344,x15345)) % 169.26/169.11 [1535]~E(x15351,x15352)+E(f120(x15353,x15354,x15351,x15355),f120(x15353,x15354,x15352,x15355)) % 169.26/169.11 [1536]~E(x15361,x15362)+E(f120(x15363,x15364,x15365,x15361),f120(x15363,x15364,x15365,x15362)) % 169.26/169.11 [1537]~E(x15371,x15372)+E(f54(x15371,x15373,x15374,x15375),f54(x15372,x15373,x15374,x15375)) % 169.26/169.11 [1538]~E(x15381,x15382)+E(f54(x15383,x15381,x15384,x15385),f54(x15383,x15382,x15384,x15385)) % 169.26/169.11 [1539]~E(x15391,x15392)+E(f54(x15393,x15394,x15391,x15395),f54(x15393,x15394,x15392,x15395)) % 169.26/169.11 [1540]~E(x15401,x15402)+E(f54(x15403,x15404,x15405,x15401),f54(x15403,x15404,x15405,x15402)) % 169.26/169.11 [1541]~E(x15411,x15412)+E(f742(x15411,x15413,x15414),f742(x15412,x15413,x15414)) % 169.26/169.11 [1542]~E(x15421,x15422)+E(f742(x15423,x15421,x15424),f742(x15423,x15422,x15424)) % 169.26/169.11 [1543]~E(x15431,x15432)+E(f742(x15433,x15434,x15431),f742(x15433,x15434,x15432)) % 169.26/169.11 [1544]~E(x15441,x15442)+E(f662(x15441,x15443,x15444,x15445,x15446),f662(x15442,x15443,x15444,x15445,x15446)) % 169.26/169.11 [1545]~E(x15451,x15452)+E(f662(x15453,x15451,x15454,x15455,x15456),f662(x15453,x15452,x15454,x15455,x15456)) % 169.26/169.11 [1546]~E(x15461,x15462)+E(f662(x15463,x15464,x15461,x15465,x15466),f662(x15463,x15464,x15462,x15465,x15466)) % 169.26/169.11 [1547]~E(x15471,x15472)+E(f662(x15473,x15474,x15475,x15471,x15476),f662(x15473,x15474,x15475,x15472,x15476)) % 169.26/169.11 [1548]~E(x15481,x15482)+E(f662(x15483,x15484,x15485,x15486,x15481),f662(x15483,x15484,x15485,x15486,x15482)) % 169.26/169.11 [1549]~E(x15491,x15492)+E(f792(x15491,x15493,x15494,x15495,x15496),f792(x15492,x15493,x15494,x15495,x15496)) % 169.26/169.11 [1550]~E(x15501,x15502)+E(f792(x15503,x15501,x15504,x15505,x15506),f792(x15503,x15502,x15504,x15505,x15506)) % 169.26/169.11 [1551]~E(x15511,x15512)+E(f792(x15513,x15514,x15511,x15515,x15516),f792(x15513,x15514,x15512,x15515,x15516)) % 169.26/169.11 [1552]~E(x15521,x15522)+E(f792(x15523,x15524,x15525,x15521,x15526),f792(x15523,x15524,x15525,x15522,x15526)) % 169.26/169.11 [1553]~E(x15531,x15532)+E(f792(x15533,x15534,x15535,x15536,x15531),f792(x15533,x15534,x15535,x15536,x15532)) % 169.26/169.11 [1554]~E(x15541,x15542)+E(f676(x15541,x15543,x15544,x15545),f676(x15542,x15543,x15544,x15545)) % 169.26/169.11 [1555]~E(x15551,x15552)+E(f676(x15553,x15551,x15554,x15555),f676(x15553,x15552,x15554,x15555)) % 169.26/169.11 [1556]~E(x15561,x15562)+E(f676(x15563,x15564,x15561,x15565),f676(x15563,x15564,x15562,x15565)) % 169.26/169.11 [1557]~E(x15571,x15572)+E(f676(x15573,x15574,x15575,x15571),f676(x15573,x15574,x15575,x15572)) % 169.26/169.11 [1558]~E(x15581,x15582)+E(f750(x15581,x15583,x15584,x15585),f750(x15582,x15583,x15584,x15585)) % 169.26/169.11 [1559]~E(x15591,x15592)+E(f750(x15593,x15591,x15594,x15595),f750(x15593,x15592,x15594,x15595)) % 169.26/169.11 [1560]~E(x15601,x15602)+E(f750(x15603,x15604,x15601,x15605),f750(x15603,x15604,x15602,x15605)) % 169.26/169.11 [1561]~E(x15611,x15612)+E(f750(x15613,x15614,x15615,x15611),f750(x15613,x15614,x15615,x15612)) % 169.26/169.11 [1562]~E(x15621,x15622)+E(f780(x15621),f780(x15622)) % 169.26/169.11 [1563]~E(x15631,x15632)+E(f722(x15631,x15633,x15634,x15635,x15636),f722(x15632,x15633,x15634,x15635,x15636)) % 169.26/169.11 [1564]~E(x15641,x15642)+E(f722(x15643,x15641,x15644,x15645,x15646),f722(x15643,x15642,x15644,x15645,x15646)) % 169.26/169.11 [1565]~E(x15651,x15652)+E(f722(x15653,x15654,x15651,x15655,x15656),f722(x15653,x15654,x15652,x15655,x15656)) % 169.26/169.11 [1566]~E(x15661,x15662)+E(f722(x15663,x15664,x15665,x15661,x15666),f722(x15663,x15664,x15665,x15662,x15666)) % 169.26/169.11 [1567]~E(x15671,x15672)+E(f722(x15673,x15674,x15675,x15676,x15671),f722(x15673,x15674,x15675,x15676,x15672)) % 169.26/169.11 [1568]~E(x15681,x15682)+E(f290(x15681,x15683,x15684,x15685,x15686),f290(x15682,x15683,x15684,x15685,x15686)) % 169.26/169.11 [1569]~E(x15691,x15692)+E(f290(x15693,x15691,x15694,x15695,x15696),f290(x15693,x15692,x15694,x15695,x15696)) % 169.26/169.11 [1570]~E(x15701,x15702)+E(f290(x15703,x15704,x15701,x15705,x15706),f290(x15703,x15704,x15702,x15705,x15706)) % 169.26/169.11 [1571]~E(x15711,x15712)+E(f290(x15713,x15714,x15715,x15711,x15716),f290(x15713,x15714,x15715,x15712,x15716)) % 169.26/169.11 [1572]~E(x15721,x15722)+E(f290(x15723,x15724,x15725,x15726,x15721),f290(x15723,x15724,x15725,x15726,x15722)) % 169.26/169.11 [1573]~E(x15731,x15732)+E(f721(x15731,x15733,x15734,x15735,x15736),f721(x15732,x15733,x15734,x15735,x15736)) % 169.26/169.11 [1574]~E(x15741,x15742)+E(f721(x15743,x15741,x15744,x15745,x15746),f721(x15743,x15742,x15744,x15745,x15746)) % 169.26/169.11 [1575]~E(x15751,x15752)+E(f721(x15753,x15754,x15751,x15755,x15756),f721(x15753,x15754,x15752,x15755,x15756)) % 169.26/169.11 [1576]~E(x15761,x15762)+E(f721(x15763,x15764,x15765,x15761,x15766),f721(x15763,x15764,x15765,x15762,x15766)) % 169.26/169.11 [1577]~E(x15771,x15772)+E(f721(x15773,x15774,x15775,x15776,x15771),f721(x15773,x15774,x15775,x15776,x15772)) % 169.26/169.11 [1578]~E(x15781,x15782)+E(f891(x15781,x15783),f891(x15782,x15783)) % 169.26/169.11 [1579]~E(x15791,x15792)+E(f891(x15793,x15791),f891(x15793,x15792)) % 169.26/169.11 [1580]~E(x15801,x15802)+E(f535(x15801),f535(x15802)) % 169.26/169.11 [1581]~E(x15811,x15812)+E(f347(x15811,x15813,x15814),f347(x15812,x15813,x15814)) % 169.26/169.11 [1582]~E(x15821,x15822)+E(f347(x15823,x15821,x15824),f347(x15823,x15822,x15824)) % 169.26/169.11 [1583]~E(x15831,x15832)+E(f347(x15833,x15834,x15831),f347(x15833,x15834,x15832)) % 169.26/169.11 [1584]~E(x15841,x15842)+E(f261(x15841,x15843,x15844,x15845),f261(x15842,x15843,x15844,x15845)) % 169.26/169.11 [1585]~E(x15851,x15852)+E(f261(x15853,x15851,x15854,x15855),f261(x15853,x15852,x15854,x15855)) % 169.26/169.11 [1586]~E(x15861,x15862)+E(f261(x15863,x15864,x15861,x15865),f261(x15863,x15864,x15862,x15865)) % 169.26/169.11 [1587]~E(x15871,x15872)+E(f261(x15873,x15874,x15875,x15871),f261(x15873,x15874,x15875,x15872)) % 169.26/169.11 [1588]~E(x15881,x15882)+E(f860(x15881,x15883,x15884),f860(x15882,x15883,x15884)) % 169.26/169.11 [1589]~E(x15891,x15892)+E(f860(x15893,x15891,x15894),f860(x15893,x15892,x15894)) % 169.26/169.11 [1590]~E(x15901,x15902)+E(f860(x15903,x15904,x15901),f860(x15903,x15904,x15902)) % 169.26/169.11 [1591]~E(x15911,x15912)+E(f423(x15911,x15913,x15914),f423(x15912,x15913,x15914)) % 169.26/169.11 [1592]~E(x15921,x15922)+E(f423(x15923,x15921,x15924),f423(x15923,x15922,x15924)) % 169.26/169.11 [1593]~E(x15931,x15932)+E(f423(x15933,x15934,x15931),f423(x15933,x15934,x15932)) % 169.26/169.11 [1594]~E(x15941,x15942)+E(f424(x15941,x15943,x15944),f424(x15942,x15943,x15944)) % 169.26/169.11 [1595]~E(x15951,x15952)+E(f424(x15953,x15951,x15954),f424(x15953,x15952,x15954)) % 169.26/169.11 [1596]~E(x15961,x15962)+E(f424(x15963,x15964,x15961),f424(x15963,x15964,x15962)) % 169.26/169.11 [1597]~E(x15971,x15972)+E(f511(x15971,x15973,x15974),f511(x15972,x15973,x15974)) % 169.26/169.11 [1598]~E(x15981,x15982)+E(f511(x15983,x15981,x15984),f511(x15983,x15982,x15984)) % 169.26/169.11 [1599]~E(x15991,x15992)+E(f511(x15993,x15994,x15991),f511(x15993,x15994,x15992)) % 169.26/169.11 [1600]~E(x16001,x16002)+E(f720(x16001,x16003,x16004,x16005,x16006),f720(x16002,x16003,x16004,x16005,x16006)) % 169.26/169.11 [1601]~E(x16011,x16012)+E(f720(x16013,x16011,x16014,x16015,x16016),f720(x16013,x16012,x16014,x16015,x16016)) % 169.26/169.11 [1602]~E(x16021,x16022)+E(f720(x16023,x16024,x16021,x16025,x16026),f720(x16023,x16024,x16022,x16025,x16026)) % 169.26/169.11 [1603]~E(x16031,x16032)+E(f720(x16033,x16034,x16035,x16031,x16036),f720(x16033,x16034,x16035,x16032,x16036)) % 169.26/169.11 [1604]~E(x16041,x16042)+E(f720(x16043,x16044,x16045,x16046,x16041),f720(x16043,x16044,x16045,x16046,x16042)) % 169.26/169.11 [1605]~E(x16051,x16052)+E(f375(x16051,x16053,x16054,x16055),f375(x16052,x16053,x16054,x16055)) % 169.26/169.11 [1606]~E(x16061,x16062)+E(f375(x16063,x16061,x16064,x16065),f375(x16063,x16062,x16064,x16065)) % 169.26/169.11 [1607]~E(x16071,x16072)+E(f375(x16073,x16074,x16071,x16075),f375(x16073,x16074,x16072,x16075)) % 169.26/169.11 [1608]~E(x16081,x16082)+E(f375(x16083,x16084,x16085,x16081),f375(x16083,x16084,x16085,x16082)) % 169.26/169.11 [1609]~E(x16091,x16092)+E(f478(x16091,x16093,x16094),f478(x16092,x16093,x16094)) % 169.26/169.11 [1610]~E(x16101,x16102)+E(f478(x16103,x16101,x16104),f478(x16103,x16102,x16104)) % 169.26/169.11 [1611]~E(x16111,x16112)+E(f478(x16113,x16114,x16111),f478(x16113,x16114,x16112)) % 169.26/169.11 [1612]~E(x16121,x16122)+E(f217(x16121,x16123),f217(x16122,x16123)) % 169.26/169.11 [1613]~E(x16131,x16132)+E(f217(x16133,x16131),f217(x16133,x16132)) % 169.26/169.11 [1614]~E(x16141,x16142)+E(f853(x16141,x16143),f853(x16142,x16143)) % 169.26/169.11 [1615]~E(x16151,x16152)+E(f853(x16153,x16151),f853(x16153,x16152)) % 169.26/169.11 [1616]~E(x16161,x16162)+E(f845(x16161,x16163,x16164),f845(x16162,x16163,x16164)) % 169.26/169.11 [1617]~E(x16171,x16172)+E(f845(x16173,x16171,x16174),f845(x16173,x16172,x16174)) % 169.26/169.11 [1618]~E(x16181,x16182)+E(f845(x16183,x16184,x16181),f845(x16183,x16184,x16182)) % 169.26/169.11 [1619]~E(x16191,x16192)+E(f351(x16191,x16193),f351(x16192,x16193)) % 169.26/169.11 [1620]~E(x16201,x16202)+E(f351(x16203,x16201),f351(x16203,x16202)) % 169.26/169.11 [1621]~E(x16211,x16212)+E(f778(x16211,x16213,x16214,x16215),f778(x16212,x16213,x16214,x16215)) % 169.26/169.11 [1622]~E(x16221,x16222)+E(f778(x16223,x16221,x16224,x16225),f778(x16223,x16222,x16224,x16225)) % 169.26/169.11 [1623]~E(x16231,x16232)+E(f778(x16233,x16234,x16231,x16235),f778(x16233,x16234,x16232,x16235)) % 169.26/169.11 [1624]~E(x16241,x16242)+E(f778(x16243,x16244,x16245,x16241),f778(x16243,x16244,x16245,x16242)) % 169.26/169.11 [1625]~E(x16251,x16252)+E(f873(x16251,x16253,x16254),f873(x16252,x16253,x16254)) % 169.26/169.11 [1626]~E(x16261,x16262)+E(f873(x16263,x16261,x16264),f873(x16263,x16262,x16264)) % 169.26/169.11 [1627]~E(x16271,x16272)+E(f873(x16273,x16274,x16271),f873(x16273,x16274,x16272)) % 169.26/169.11 [1628]~E(x16281,x16282)+E(f554(x16281,x16283,x16284,x16285,x16286,x16287,x16288,x16289),f554(x16282,x16283,x16284,x16285,x16286,x16287,x16288,x16289)) % 169.26/169.11 [1629]~E(x16291,x16292)+E(f554(x16293,x16291,x16294,x16295,x16296,x16297,x16298,x16299),f554(x16293,x16292,x16294,x16295,x16296,x16297,x16298,x16299)) % 169.26/169.11 [1630]~E(x16301,x16302)+E(f554(x16303,x16304,x16301,x16305,x16306,x16307,x16308,x16309),f554(x16303,x16304,x16302,x16305,x16306,x16307,x16308,x16309)) % 169.26/169.11 [1631]~E(x16311,x16312)+E(f554(x16313,x16314,x16315,x16311,x16316,x16317,x16318,x16319),f554(x16313,x16314,x16315,x16312,x16316,x16317,x16318,x16319)) % 169.26/169.11 [1632]~E(x16321,x16322)+E(f554(x16323,x16324,x16325,x16326,x16321,x16327,x16328,x16329),f554(x16323,x16324,x16325,x16326,x16322,x16327,x16328,x16329)) % 169.26/169.11 [1633]~E(x16331,x16332)+E(f554(x16333,x16334,x16335,x16336,x16337,x16331,x16338,x16339),f554(x16333,x16334,x16335,x16336,x16337,x16332,x16338,x16339)) % 169.26/169.11 [1634]~E(x16341,x16342)+E(f554(x16343,x16344,x16345,x16346,x16347,x16348,x16341,x16349),f554(x16343,x16344,x16345,x16346,x16347,x16348,x16342,x16349)) % 169.26/169.11 [1635]~E(x16351,x16352)+E(f554(x16353,x16354,x16355,x16356,x16357,x16358,x16359,x16351),f554(x16353,x16354,x16355,x16356,x16357,x16358,x16359,x16352)) % 169.26/169.11 [1636]~E(x16361,x16362)+E(f708(x16361,x16363,x16364,x16365),f708(x16362,x16363,x16364,x16365)) % 169.26/169.11 [1637]~E(x16371,x16372)+E(f708(x16373,x16371,x16374,x16375),f708(x16373,x16372,x16374,x16375)) % 169.26/169.11 [1638]~E(x16381,x16382)+E(f708(x16383,x16384,x16381,x16385),f708(x16383,x16384,x16382,x16385)) % 169.26/169.11 [1639]~E(x16391,x16392)+E(f708(x16393,x16394,x16395,x16391),f708(x16393,x16394,x16395,x16392)) % 169.26/169.11 [1640]~E(x16401,x16402)+E(f755(x16401,x16403,x16404,x16405),f755(x16402,x16403,x16404,x16405)) % 169.26/169.11 [1641]~E(x16411,x16412)+E(f755(x16413,x16411,x16414,x16415),f755(x16413,x16412,x16414,x16415)) % 169.26/169.11 [1642]~E(x16421,x16422)+E(f755(x16423,x16424,x16421,x16425),f755(x16423,x16424,x16422,x16425)) % 169.26/169.11 [1643]~E(x16431,x16432)+E(f755(x16433,x16434,x16435,x16431),f755(x16433,x16434,x16435,x16432)) % 169.26/169.11 [1644]~E(x16441,x16442)+E(f759(x16441,x16443,x16444,x16445),f759(x16442,x16443,x16444,x16445)) % 169.26/169.11 [1645]~E(x16451,x16452)+E(f759(x16453,x16451,x16454,x16455),f759(x16453,x16452,x16454,x16455)) % 169.26/169.11 [1646]~E(x16461,x16462)+E(f759(x16463,x16464,x16461,x16465),f759(x16463,x16464,x16462,x16465)) % 169.26/169.11 [1647]~E(x16471,x16472)+E(f759(x16473,x16474,x16475,x16471),f759(x16473,x16474,x16475,x16472)) % 169.26/169.11 [1648]~E(x16481,x16482)+E(f621(x16481,x16483,x16484,x16485),f621(x16482,x16483,x16484,x16485)) % 169.26/169.11 [1649]~E(x16491,x16492)+E(f621(x16493,x16491,x16494,x16495),f621(x16493,x16492,x16494,x16495)) % 169.26/169.11 [1650]~E(x16501,x16502)+E(f621(x16503,x16504,x16501,x16505),f621(x16503,x16504,x16502,x16505)) % 169.26/169.11 [1651]~E(x16511,x16512)+E(f621(x16513,x16514,x16515,x16511),f621(x16513,x16514,x16515,x16512)) % 169.26/169.11 [1652]~E(x16521,x16522)+E(f282(x16521,x16523),f282(x16522,x16523)) % 169.26/169.11 [1653]~E(x16531,x16532)+E(f282(x16533,x16531),f282(x16533,x16532)) % 169.26/169.11 [1654]~E(x16541,x16542)+E(f369(x16541,x16543,x16544,x16545),f369(x16542,x16543,x16544,x16545)) % 169.26/169.11 [1655]~E(x16551,x16552)+E(f369(x16553,x16551,x16554,x16555),f369(x16553,x16552,x16554,x16555)) % 169.26/169.11 [1656]~E(x16561,x16562)+E(f369(x16563,x16564,x16561,x16565),f369(x16563,x16564,x16562,x16565)) % 169.26/169.11 [1657]~E(x16571,x16572)+E(f369(x16573,x16574,x16575,x16571),f369(x16573,x16574,x16575,x16572)) % 169.26/169.11 [1658]~E(x16581,x16582)+E(f378(x16581,x16583,x16584,x16585),f378(x16582,x16583,x16584,x16585)) % 169.26/169.11 [1659]~E(x16591,x16592)+E(f378(x16593,x16591,x16594,x16595),f378(x16593,x16592,x16594,x16595)) % 169.26/169.11 [1660]~E(x16601,x16602)+E(f378(x16603,x16604,x16601,x16605),f378(x16603,x16604,x16602,x16605)) % 169.26/169.11 [1661]~E(x16611,x16612)+E(f378(x16613,x16614,x16615,x16611),f378(x16613,x16614,x16615,x16612)) % 169.26/169.11 [1662]~E(x16621,x16622)+E(f654(x16621,x16623,x16624),f654(x16622,x16623,x16624)) % 169.26/169.11 [1663]~E(x16631,x16632)+E(f654(x16633,x16631,x16634),f654(x16633,x16632,x16634)) % 169.26/169.11 [1664]~E(x16641,x16642)+E(f654(x16643,x16644,x16641),f654(x16643,x16644,x16642)) % 169.26/169.11 [1665]~E(x16651,x16652)+E(f525(x16651,x16653,x16654,x16655,x16656,x16657),f525(x16652,x16653,x16654,x16655,x16656,x16657)) % 169.26/169.11 [1666]~E(x16661,x16662)+E(f525(x16663,x16661,x16664,x16665,x16666,x16667),f525(x16663,x16662,x16664,x16665,x16666,x16667)) % 169.26/169.11 [1667]~E(x16671,x16672)+E(f525(x16673,x16674,x16671,x16675,x16676,x16677),f525(x16673,x16674,x16672,x16675,x16676,x16677)) % 169.26/169.11 [1668]~E(x16681,x16682)+E(f525(x16683,x16684,x16685,x16681,x16686,x16687),f525(x16683,x16684,x16685,x16682,x16686,x16687)) % 169.26/169.11 [1669]~E(x16691,x16692)+E(f525(x16693,x16694,x16695,x16696,x16691,x16697),f525(x16693,x16694,x16695,x16696,x16692,x16697)) % 169.26/169.11 [1670]~E(x16701,x16702)+E(f525(x16703,x16704,x16705,x16706,x16707,x16701),f525(x16703,x16704,x16705,x16706,x16707,x16702)) % 169.26/169.11 [1671]~E(x16711,x16712)+E(f555(x16711,x16713),f555(x16712,x16713)) % 169.26/169.11 [1672]~E(x16721,x16722)+E(f555(x16723,x16721),f555(x16723,x16722)) % 169.26/169.11 [1673]~E(x16731,x16732)+E(f712(x16731,x16733,x16734,x16735,x16736,x16737,x16738,x16739),f712(x16732,x16733,x16734,x16735,x16736,x16737,x16738,x16739)) % 169.26/169.11 [1674]~E(x16741,x16742)+E(f712(x16743,x16741,x16744,x16745,x16746,x16747,x16748,x16749),f712(x16743,x16742,x16744,x16745,x16746,x16747,x16748,x16749)) % 169.26/169.11 [1675]~E(x16751,x16752)+E(f712(x16753,x16754,x16751,x16755,x16756,x16757,x16758,x16759),f712(x16753,x16754,x16752,x16755,x16756,x16757,x16758,x16759)) % 169.26/169.11 [1676]~E(x16761,x16762)+E(f712(x16763,x16764,x16765,x16761,x16766,x16767,x16768,x16769),f712(x16763,x16764,x16765,x16762,x16766,x16767,x16768,x16769)) % 169.26/169.11 [1677]~E(x16771,x16772)+E(f712(x16773,x16774,x16775,x16776,x16771,x16777,x16778,x16779),f712(x16773,x16774,x16775,x16776,x16772,x16777,x16778,x16779)) % 169.26/169.11 [1678]~E(x16781,x16782)+E(f712(x16783,x16784,x16785,x16786,x16787,x16781,x16788,x16789),f712(x16783,x16784,x16785,x16786,x16787,x16782,x16788,x16789)) % 169.26/169.11 [1679]~E(x16791,x16792)+E(f712(x16793,x16794,x16795,x16796,x16797,x16798,x16791,x16799),f712(x16793,x16794,x16795,x16796,x16797,x16798,x16792,x16799)) % 169.26/169.11 [1680]~E(x16801,x16802)+E(f712(x16803,x16804,x16805,x16806,x16807,x16808,x16809,x16801),f712(x16803,x16804,x16805,x16806,x16807,x16808,x16809,x16802)) % 169.26/169.11 [1681]~E(x16811,x16812)+E(f321(x16811,x16813,x16814,x16815),f321(x16812,x16813,x16814,x16815)) % 169.26/169.11 [1682]~E(x16821,x16822)+E(f321(x16823,x16821,x16824,x16825),f321(x16823,x16822,x16824,x16825)) % 169.26/169.11 [1683]~E(x16831,x16832)+E(f321(x16833,x16834,x16831,x16835),f321(x16833,x16834,x16832,x16835)) % 169.26/169.11 [1684]~E(x16841,x16842)+E(f321(x16843,x16844,x16845,x16841),f321(x16843,x16844,x16845,x16842)) % 169.26/169.11 [1685]~E(x16851,x16852)+E(f235(x16851,x16853,x16854),f235(x16852,x16853,x16854)) % 169.26/169.11 [1686]~E(x16861,x16862)+E(f235(x16863,x16861,x16864),f235(x16863,x16862,x16864)) % 169.26/169.11 [1687]~E(x16871,x16872)+E(f235(x16873,x16874,x16871),f235(x16873,x16874,x16872)) % 169.26/169.11 [1688]~E(x16881,x16882)+E(f428(x16881,x16883,x16884,x16885,x16886),f428(x16882,x16883,x16884,x16885,x16886)) % 169.26/169.11 [1689]~E(x16891,x16892)+E(f428(x16893,x16891,x16894,x16895,x16896),f428(x16893,x16892,x16894,x16895,x16896)) % 169.26/169.11 [1690]~E(x16901,x16902)+E(f428(x16903,x16904,x16901,x16905,x16906),f428(x16903,x16904,x16902,x16905,x16906)) % 169.26/169.11 [1691]~E(x16911,x16912)+E(f428(x16913,x16914,x16915,x16911,x16916),f428(x16913,x16914,x16915,x16912,x16916)) % 169.26/169.11 [1692]~E(x16921,x16922)+E(f428(x16923,x16924,x16925,x16926,x16921),f428(x16923,x16924,x16925,x16926,x16922)) % 169.26/169.11 [1693]~E(x16931,x16932)+E(f597(x16931,x16933,x16934),f597(x16932,x16933,x16934)) % 169.26/169.11 [1694]~E(x16941,x16942)+E(f597(x16943,x16941,x16944),f597(x16943,x16942,x16944)) % 169.26/169.11 [1695]~E(x16951,x16952)+E(f597(x16953,x16954,x16951),f597(x16953,x16954,x16952)) % 169.26/169.11 [1696]~E(x16961,x16962)+E(f850(x16961,x16963,x16964,x16965,x16966),f850(x16962,x16963,x16964,x16965,x16966)) % 169.26/169.11 [1697]~E(x16971,x16972)+E(f850(x16973,x16971,x16974,x16975,x16976),f850(x16973,x16972,x16974,x16975,x16976)) % 169.26/169.11 [1698]~E(x16981,x16982)+E(f850(x16983,x16984,x16981,x16985,x16986),f850(x16983,x16984,x16982,x16985,x16986)) % 169.26/169.11 [1699]~E(x16991,x16992)+E(f850(x16993,x16994,x16995,x16991,x16996),f850(x16993,x16994,x16995,x16992,x16996)) % 169.26/169.11 [1700]~E(x17001,x17002)+E(f850(x17003,x17004,x17005,x17006,x17001),f850(x17003,x17004,x17005,x17006,x17002)) % 169.26/169.11 [1701]~E(x17011,x17012)+E(f366(x17011,x17013,x17014,x17015),f366(x17012,x17013,x17014,x17015)) % 169.26/169.11 [1702]~E(x17021,x17022)+E(f366(x17023,x17021,x17024,x17025),f366(x17023,x17022,x17024,x17025)) % 169.26/169.11 [1703]~E(x17031,x17032)+E(f366(x17033,x17034,x17031,x17035),f366(x17033,x17034,x17032,x17035)) % 169.26/169.11 [1704]~E(x17041,x17042)+E(f366(x17043,x17044,x17045,x17041),f366(x17043,x17044,x17045,x17042)) % 169.26/169.11 [1705]~E(x17051,x17052)+E(f403(x17051,x17053,x17054),f403(x17052,x17053,x17054)) % 169.26/169.11 [1706]~E(x17061,x17062)+E(f403(x17063,x17061,x17064),f403(x17063,x17062,x17064)) % 169.26/169.11 [1707]~E(x17071,x17072)+E(f403(x17073,x17074,x17071),f403(x17073,x17074,x17072)) % 169.26/169.11 [1708]~E(x17081,x17082)+E(f830(x17081,x17083,x17084,x17085,x17086,x17087,x17088,x17089),f830(x17082,x17083,x17084,x17085,x17086,x17087,x17088,x17089)) % 169.26/169.11 [1709]~E(x17091,x17092)+E(f830(x17093,x17091,x17094,x17095,x17096,x17097,x17098,x17099),f830(x17093,x17092,x17094,x17095,x17096,x17097,x17098,x17099)) % 169.26/169.11 [1710]~E(x17101,x17102)+E(f830(x17103,x17104,x17101,x17105,x17106,x17107,x17108,x17109),f830(x17103,x17104,x17102,x17105,x17106,x17107,x17108,x17109)) % 169.26/169.11 [1711]~E(x17111,x17112)+E(f830(x17113,x17114,x17115,x17111,x17116,x17117,x17118,x17119),f830(x17113,x17114,x17115,x17112,x17116,x17117,x17118,x17119)) % 169.26/169.11 [1712]~E(x17121,x17122)+E(f830(x17123,x17124,x17125,x17126,x17121,x17127,x17128,x17129),f830(x17123,x17124,x17125,x17126,x17122,x17127,x17128,x17129)) % 169.26/169.11 [1713]~E(x17131,x17132)+E(f830(x17133,x17134,x17135,x17136,x17137,x17131,x17138,x17139),f830(x17133,x17134,x17135,x17136,x17137,x17132,x17138,x17139)) % 169.26/169.11 [1714]~E(x17141,x17142)+E(f830(x17143,x17144,x17145,x17146,x17147,x17148,x17141,x17149),f830(x17143,x17144,x17145,x17146,x17147,x17148,x17142,x17149)) % 169.26/169.11 [1715]~E(x17151,x17152)+E(f830(x17153,x17154,x17155,x17156,x17157,x17158,x17159,x17151),f830(x17153,x17154,x17155,x17156,x17157,x17158,x17159,x17152)) % 169.26/169.11 [1716]~E(x17161,x17162)+E(f709(x17161,x17163),f709(x17162,x17163)) % 169.26/169.11 [1717]~E(x17171,x17172)+E(f709(x17173,x17171),f709(x17173,x17172)) % 169.26/169.11 [1718]~E(x17181,x17182)+E(f213(x17181,x17183,x17184,x17185,x17186),f213(x17182,x17183,x17184,x17185,x17186)) % 169.26/169.11 [1719]~E(x17191,x17192)+E(f213(x17193,x17191,x17194,x17195,x17196),f213(x17193,x17192,x17194,x17195,x17196)) % 169.26/169.11 [1720]~E(x17201,x17202)+E(f213(x17203,x17204,x17201,x17205,x17206),f213(x17203,x17204,x17202,x17205,x17206)) % 169.26/169.11 [1721]~E(x17211,x17212)+E(f213(x17213,x17214,x17215,x17211,x17216),f213(x17213,x17214,x17215,x17212,x17216)) % 169.26/169.11 [1722]~E(x17221,x17222)+E(f213(x17223,x17224,x17225,x17226,x17221),f213(x17223,x17224,x17225,x17226,x17222)) % 169.26/169.11 [1723]~E(x17231,x17232)+E(f730(x17231,x17233,x17234),f730(x17232,x17233,x17234)) % 169.26/169.11 [1724]~E(x17241,x17242)+E(f730(x17243,x17241,x17244),f730(x17243,x17242,x17244)) % 169.26/169.11 [1725]~E(x17251,x17252)+E(f730(x17253,x17254,x17251),f730(x17253,x17254,x17252)) % 169.26/169.11 [1726]~E(x17261,x17262)+E(f200(x17261,x17263,x17264,x17265),f200(x17262,x17263,x17264,x17265)) % 169.26/169.11 [1727]~E(x17271,x17272)+E(f200(x17273,x17271,x17274,x17275),f200(x17273,x17272,x17274,x17275)) % 169.26/169.11 [1728]~E(x17281,x17282)+E(f200(x17283,x17284,x17281,x17285),f200(x17283,x17284,x17282,x17285)) % 169.26/169.11 [1729]~E(x17291,x17292)+E(f200(x17293,x17294,x17295,x17291),f200(x17293,x17294,x17295,x17292)) % 169.26/169.11 [1730]~E(x17301,x17302)+E(f714(x17301,x17303,x17304,x17305),f714(x17302,x17303,x17304,x17305)) % 169.26/169.11 [1731]~E(x17311,x17312)+E(f714(x17313,x17311,x17314,x17315),f714(x17313,x17312,x17314,x17315)) % 169.26/169.11 [1732]~E(x17321,x17322)+E(f714(x17323,x17324,x17321,x17325),f714(x17323,x17324,x17322,x17325)) % 169.26/169.11 [1733]~E(x17331,x17332)+E(f714(x17333,x17334,x17335,x17331),f714(x17333,x17334,x17335,x17332)) % 169.26/169.11 [1734]~E(x17341,x17342)+E(f194(x17341),f194(x17342)) % 169.26/169.11 [1735]~E(x17351,x17352)+E(f744(x17351,x17353,x17354),f744(x17352,x17353,x17354)) % 169.26/169.11 [1736]~E(x17361,x17362)+E(f744(x17363,x17361,x17364),f744(x17363,x17362,x17364)) % 169.26/169.11 [1737]~E(x17371,x17372)+E(f744(x17373,x17374,x17371),f744(x17373,x17374,x17372)) % 169.26/169.11 [1738]~E(x17381,x17382)+E(f726(x17381,x17383,x17384,x17385,x17386),f726(x17382,x17383,x17384,x17385,x17386)) % 169.26/169.11 [1739]~E(x17391,x17392)+E(f726(x17393,x17391,x17394,x17395,x17396),f726(x17393,x17392,x17394,x17395,x17396)) % 169.26/169.11 [1740]~E(x17401,x17402)+E(f726(x17403,x17404,x17401,x17405,x17406),f726(x17403,x17404,x17402,x17405,x17406)) % 169.26/169.11 [1741]~E(x17411,x17412)+E(f726(x17413,x17414,x17415,x17411,x17416),f726(x17413,x17414,x17415,x17412,x17416)) % 169.26/169.11 [1742]~E(x17421,x17422)+E(f726(x17423,x17424,x17425,x17426,x17421),f726(x17423,x17424,x17425,x17426,x17422)) % 169.26/169.11 [1743]~E(x17431,x17432)+E(f827(x17431,x17433,x17434,x17435,x17436,x17437,x17438,x17439),f827(x17432,x17433,x17434,x17435,x17436,x17437,x17438,x17439)) % 169.26/169.11 [1744]~E(x17441,x17442)+E(f827(x17443,x17441,x17444,x17445,x17446,x17447,x17448,x17449),f827(x17443,x17442,x17444,x17445,x17446,x17447,x17448,x17449)) % 169.26/169.11 [1745]~E(x17451,x17452)+E(f827(x17453,x17454,x17451,x17455,x17456,x17457,x17458,x17459),f827(x17453,x17454,x17452,x17455,x17456,x17457,x17458,x17459)) % 169.26/169.11 [1746]~E(x17461,x17462)+E(f827(x17463,x17464,x17465,x17461,x17466,x17467,x17468,x17469),f827(x17463,x17464,x17465,x17462,x17466,x17467,x17468,x17469)) % 169.26/169.11 [1747]~E(x17471,x17472)+E(f827(x17473,x17474,x17475,x17476,x17471,x17477,x17478,x17479),f827(x17473,x17474,x17475,x17476,x17472,x17477,x17478,x17479)) % 169.26/169.11 [1748]~E(x17481,x17482)+E(f827(x17483,x17484,x17485,x17486,x17487,x17481,x17488,x17489),f827(x17483,x17484,x17485,x17486,x17487,x17482,x17488,x17489)) % 169.26/169.11 [1749]~E(x17491,x17492)+E(f827(x17493,x17494,x17495,x17496,x17497,x17498,x17491,x17499),f827(x17493,x17494,x17495,x17496,x17497,x17498,x17492,x17499)) % 169.26/169.11 [1750]~E(x17501,x17502)+E(f827(x17503,x17504,x17505,x17506,x17507,x17508,x17509,x17501),f827(x17503,x17504,x17505,x17506,x17507,x17508,x17509,x17502)) % 169.26/169.11 [1751]~E(x17511,x17512)+E(f404(x17511,x17513,x17514,x17515,x17516),f404(x17512,x17513,x17514,x17515,x17516)) % 169.26/169.11 [1752]~E(x17521,x17522)+E(f404(x17523,x17521,x17524,x17525,x17526),f404(x17523,x17522,x17524,x17525,x17526)) % 169.26/169.11 [1753]~E(x17531,x17532)+E(f404(x17533,x17534,x17531,x17535,x17536),f404(x17533,x17534,x17532,x17535,x17536)) % 169.26/169.11 [1754]~E(x17541,x17542)+E(f404(x17543,x17544,x17545,x17541,x17546),f404(x17543,x17544,x17545,x17542,x17546)) % 169.26/169.11 [1755]~E(x17551,x17552)+E(f404(x17553,x17554,x17555,x17556,x17551),f404(x17553,x17554,x17555,x17556,x17552)) % 169.26/169.11 [1756]~E(x17561,x17562)+E(f846(x17561,x17563,x17564),f846(x17562,x17563,x17564)) % 169.26/169.11 [1757]~E(x17571,x17572)+E(f846(x17573,x17571,x17574),f846(x17573,x17572,x17574)) % 169.26/169.11 [1758]~E(x17581,x17582)+E(f846(x17583,x17584,x17581),f846(x17583,x17584,x17582)) % 169.26/169.11 [1759]~E(x17591,x17592)+E(f683(x17591,x17593,x17594),f683(x17592,x17593,x17594)) % 169.26/169.11 [1760]~E(x17601,x17602)+E(f683(x17603,x17601,x17604),f683(x17603,x17602,x17604)) % 169.26/169.11 [1761]~E(x17611,x17612)+E(f683(x17613,x17614,x17611),f683(x17613,x17614,x17612)) % 169.26/169.11 [1762]~E(x17621,x17622)+E(f516(x17621),f516(x17622)) % 169.26/169.11 [1763]~E(x17631,x17632)+E(f716(x17631,x17633),f716(x17632,x17633)) % 169.26/169.11 [1764]~E(x17641,x17642)+E(f716(x17643,x17641),f716(x17643,x17642)) % 169.26/169.11 [1765]~E(x17651,x17652)+E(f745(x17651,x17653,x17654),f745(x17652,x17653,x17654)) % 169.26/169.11 [1766]~E(x17661,x17662)+E(f745(x17663,x17661,x17664),f745(x17663,x17662,x17664)) % 169.26/169.11 [1767]~E(x17671,x17672)+E(f745(x17673,x17674,x17671),f745(x17673,x17674,x17672)) % 169.26/169.11 [1768]~E(x17681,x17682)+E(f793(x17681,x17683,x17684,x17685,x17686,x17687),f793(x17682,x17683,x17684,x17685,x17686,x17687)) % 169.26/169.11 [1769]~E(x17691,x17692)+E(f793(x17693,x17691,x17694,x17695,x17696,x17697),f793(x17693,x17692,x17694,x17695,x17696,x17697)) % 169.26/169.11 [1770]~E(x17701,x17702)+E(f793(x17703,x17704,x17701,x17705,x17706,x17707),f793(x17703,x17704,x17702,x17705,x17706,x17707)) % 169.26/169.11 [1771]~E(x17711,x17712)+E(f793(x17713,x17714,x17715,x17711,x17716,x17717),f793(x17713,x17714,x17715,x17712,x17716,x17717)) % 169.26/169.11 [1772]~E(x17721,x17722)+E(f793(x17723,x17724,x17725,x17726,x17721,x17727),f793(x17723,x17724,x17725,x17726,x17722,x17727)) % 169.26/169.11 [1773]~E(x17731,x17732)+E(f793(x17733,x17734,x17735,x17736,x17737,x17731),f793(x17733,x17734,x17735,x17736,x17737,x17732)) % 169.26/169.11 [1774]~E(x17741,x17742)+E(f542(x17741,x17743,x17744,x17745,x17746,x17747),f542(x17742,x17743,x17744,x17745,x17746,x17747)) % 169.26/169.11 [1775]~E(x17751,x17752)+E(f542(x17753,x17751,x17754,x17755,x17756,x17757),f542(x17753,x17752,x17754,x17755,x17756,x17757)) % 169.26/169.11 [1776]~E(x17761,x17762)+E(f542(x17763,x17764,x17761,x17765,x17766,x17767),f542(x17763,x17764,x17762,x17765,x17766,x17767)) % 169.26/169.11 [1777]~E(x17771,x17772)+E(f542(x17773,x17774,x17775,x17771,x17776,x17777),f542(x17773,x17774,x17775,x17772,x17776,x17777)) % 169.26/169.11 [1778]~E(x17781,x17782)+E(f542(x17783,x17784,x17785,x17786,x17781,x17787),f542(x17783,x17784,x17785,x17786,x17782,x17787)) % 169.26/169.11 [1779]~E(x17791,x17792)+E(f542(x17793,x17794,x17795,x17796,x17797,x17791),f542(x17793,x17794,x17795,x17796,x17797,x17792)) % 169.26/169.11 [1780]~E(x17801,x17802)+E(f668(x17801,x17803,x17804),f668(x17802,x17803,x17804)) % 169.26/169.11 [1781]~E(x17811,x17812)+E(f668(x17813,x17811,x17814),f668(x17813,x17812,x17814)) % 169.26/169.11 [1782]~E(x17821,x17822)+E(f668(x17823,x17824,x17821),f668(x17823,x17824,x17822)) % 169.26/169.11 [1783]~E(x17831,x17832)+E(f705(x17831,x17833),f705(x17832,x17833)) % 169.26/169.11 [1784]~E(x17841,x17842)+E(f705(x17843,x17841),f705(x17843,x17842)) % 169.26/169.11 [1785]~E(x17851,x17852)+E(f285(x17851,x17853,x17854),f285(x17852,x17853,x17854)) % 169.26/169.11 [1786]~E(x17861,x17862)+E(f285(x17863,x17861,x17864),f285(x17863,x17862,x17864)) % 169.26/169.11 [1787]~E(x17871,x17872)+E(f285(x17873,x17874,x17871),f285(x17873,x17874,x17872)) % 169.26/169.11 [1788]~E(x17881,x17882)+E(f283(x17881,x17883),f283(x17882,x17883)) % 169.26/169.11 [1789]~E(x17891,x17892)+E(f283(x17893,x17891),f283(x17893,x17892)) % 169.26/169.11 [1790]~E(x17901,x17902)+E(f611(x17901,x17903),f611(x17902,x17903)) % 169.26/169.11 [1791]~E(x17911,x17912)+E(f611(x17913,x17911),f611(x17913,x17912)) % 169.26/169.11 [1792]~E(x17921,x17922)+E(f861(x17921,x17923,x17924),f861(x17922,x17923,x17924)) % 169.26/169.11 [1793]~E(x17931,x17932)+E(f861(x17933,x17931,x17934),f861(x17933,x17932,x17934)) % 169.26/169.11 [1794]~E(x17941,x17942)+E(f861(x17943,x17944,x17941),f861(x17943,x17944,x17942)) % 169.26/169.11 [1795]~E(x17951,x17952)+E(f195(x17951,x17953,x17954,x17955),f195(x17952,x17953,x17954,x17955)) % 169.26/169.11 [1796]~E(x17961,x17962)+E(f195(x17963,x17961,x17964,x17965),f195(x17963,x17962,x17964,x17965)) % 169.26/169.11 [1797]~E(x17971,x17972)+E(f195(x17973,x17974,x17971,x17975),f195(x17973,x17974,x17972,x17975)) % 169.26/169.11 [1798]~E(x17981,x17982)+E(f195(x17983,x17984,x17985,x17981),f195(x17983,x17984,x17985,x17982)) % 169.26/169.11 [1799]~E(x17991,x17992)+E(f624(x17991,x17993,x17994,x17995,x17996,x17997),f624(x17992,x17993,x17994,x17995,x17996,x17997)) % 169.26/169.11 [1800]~E(x18001,x18002)+E(f624(x18003,x18001,x18004,x18005,x18006,x18007),f624(x18003,x18002,x18004,x18005,x18006,x18007)) % 169.26/169.11 [1801]~E(x18011,x18012)+E(f624(x18013,x18014,x18011,x18015,x18016,x18017),f624(x18013,x18014,x18012,x18015,x18016,x18017)) % 169.26/169.11 [1802]~E(x18021,x18022)+E(f624(x18023,x18024,x18025,x18021,x18026,x18027),f624(x18023,x18024,x18025,x18022,x18026,x18027)) % 169.26/169.11 [1803]~E(x18031,x18032)+E(f624(x18033,x18034,x18035,x18036,x18031,x18037),f624(x18033,x18034,x18035,x18036,x18032,x18037)) % 169.26/169.11 [1804]~E(x18041,x18042)+E(f624(x18043,x18044,x18045,x18046,x18047,x18041),f624(x18043,x18044,x18045,x18046,x18047,x18042)) % 169.26/169.11 [1805]~E(x18051,x18052)+E(f650(x18051,x18053,x18054),f650(x18052,x18053,x18054)) % 169.26/169.11 [1806]~E(x18061,x18062)+E(f650(x18063,x18061,x18064),f650(x18063,x18062,x18064)) % 169.26/169.11 [1807]~E(x18071,x18072)+E(f650(x18073,x18074,x18071),f650(x18073,x18074,x18072)) % 169.26/169.11 [1808]~E(x18081,x18082)+E(f521(x18081,x18083,x18084),f521(x18082,x18083,x18084)) % 169.26/169.11 [1809]~E(x18091,x18092)+E(f521(x18093,x18091,x18094),f521(x18093,x18092,x18094)) % 169.26/169.11 [1810]~E(x18101,x18102)+E(f521(x18103,x18104,x18101),f521(x18103,x18104,x18102)) % 169.26/169.11 [1811]~E(x18111,x18112)+E(f608(x18111,x18113,x18114,x18115),f608(x18112,x18113,x18114,x18115)) % 169.26/169.11 [1812]~E(x18121,x18122)+E(f608(x18123,x18121,x18124,x18125),f608(x18123,x18122,x18124,x18125)) % 169.26/169.11 [1813]~E(x18131,x18132)+E(f608(x18133,x18134,x18131,x18135),f608(x18133,x18134,x18132,x18135)) % 169.26/169.11 [1814]~E(x18141,x18142)+E(f608(x18143,x18144,x18145,x18141),f608(x18143,x18144,x18145,x18142)) % 169.26/169.11 [1815]~E(x18151,x18152)+E(f821(x18151,x18153,x18154,x18155,x18156,x18157,x18158),f821(x18152,x18153,x18154,x18155,x18156,x18157,x18158)) % 169.26/169.11 [1816]~E(x18161,x18162)+E(f821(x18163,x18161,x18164,x18165,x18166,x18167,x18168),f821(x18163,x18162,x18164,x18165,x18166,x18167,x18168)) % 169.26/169.11 [1817]~E(x18171,x18172)+E(f821(x18173,x18174,x18171,x18175,x18176,x18177,x18178),f821(x18173,x18174,x18172,x18175,x18176,x18177,x18178)) % 169.26/169.11 [1818]~E(x18181,x18182)+E(f821(x18183,x18184,x18185,x18181,x18186,x18187,x18188),f821(x18183,x18184,x18185,x18182,x18186,x18187,x18188)) % 169.26/169.11 [1819]~E(x18191,x18192)+E(f821(x18193,x18194,x18195,x18196,x18191,x18197,x18198),f821(x18193,x18194,x18195,x18196,x18192,x18197,x18198)) % 169.26/169.11 [1820]~E(x18201,x18202)+E(f821(x18203,x18204,x18205,x18206,x18207,x18201,x18208),f821(x18203,x18204,x18205,x18206,x18207,x18202,x18208)) % 169.26/169.11 [1821]~E(x18211,x18212)+E(f821(x18213,x18214,x18215,x18216,x18217,x18218,x18211),f821(x18213,x18214,x18215,x18216,x18217,x18218,x18212)) % 169.26/169.11 [1822]~E(x18221,x18222)+E(f512(x18221,x18223,x18224),f512(x18222,x18223,x18224)) % 169.26/169.11 [1823]~E(x18231,x18232)+E(f512(x18233,x18231,x18234),f512(x18233,x18232,x18234)) % 169.26/169.11 [1824]~E(x18241,x18242)+E(f512(x18243,x18244,x18241),f512(x18243,x18244,x18242)) % 169.26/169.11 [1825]~E(x18251,x18252)+E(f376(x18251,x18253,x18254,x18255),f376(x18252,x18253,x18254,x18255)) % 169.26/169.11 [1826]~E(x18261,x18262)+E(f376(x18263,x18261,x18264,x18265),f376(x18263,x18262,x18264,x18265)) % 169.26/169.11 [1827]~E(x18271,x18272)+E(f376(x18273,x18274,x18271,x18275),f376(x18273,x18274,x18272,x18275)) % 169.26/169.11 [1828]~E(x18281,x18282)+E(f376(x18283,x18284,x18285,x18281),f376(x18283,x18284,x18285,x18282)) % 169.26/169.11 [1829]~E(x18291,x18292)+E(f484(x18291,x18293,x18294),f484(x18292,x18293,x18294)) % 169.26/169.11 [1830]~E(x18301,x18302)+E(f484(x18303,x18301,x18304),f484(x18303,x18302,x18304)) % 169.26/169.11 [1831]~E(x18311,x18312)+E(f484(x18313,x18314,x18311),f484(x18313,x18314,x18312)) % 169.26/169.11 [1832]~E(x18321,x18322)+E(f646(x18321,x18323,x18324,x18325),f646(x18322,x18323,x18324,x18325)) % 169.26/169.11 [1833]~E(x18331,x18332)+E(f646(x18333,x18331,x18334,x18335),f646(x18333,x18332,x18334,x18335)) % 169.26/169.11 [1834]~E(x18341,x18342)+E(f646(x18343,x18344,x18341,x18345),f646(x18343,x18344,x18342,x18345)) % 169.26/169.11 [1835]~E(x18351,x18352)+E(f646(x18353,x18354,x18355,x18351),f646(x18353,x18354,x18355,x18352)) % 169.26/169.11 [1836]~E(x18361,x18362)+E(f454(x18361,x18363,x18364,x18365,x18366),f454(x18362,x18363,x18364,x18365,x18366)) % 169.26/169.11 [1837]~E(x18371,x18372)+E(f454(x18373,x18371,x18374,x18375,x18376),f454(x18373,x18372,x18374,x18375,x18376)) % 169.26/169.11 [1838]~E(x18381,x18382)+E(f454(x18383,x18384,x18381,x18385,x18386),f454(x18383,x18384,x18382,x18385,x18386)) % 169.26/169.11 [1839]~E(x18391,x18392)+E(f454(x18393,x18394,x18395,x18391,x18396),f454(x18393,x18394,x18395,x18392,x18396)) % 169.26/169.11 [1840]~E(x18401,x18402)+E(f454(x18403,x18404,x18405,x18406,x18401),f454(x18403,x18404,x18405,x18406,x18402)) % 169.26/169.11 [1841]~E(x18411,x18412)+E(f429(x18411,x18413,x18414),f429(x18412,x18413,x18414)) % 169.26/169.11 [1842]~E(x18421,x18422)+E(f429(x18423,x18421,x18424),f429(x18423,x18422,x18424)) % 169.26/169.11 [1843]~E(x18431,x18432)+E(f429(x18433,x18434,x18431),f429(x18433,x18434,x18432)) % 169.26/169.11 [1844]~E(x18441,x18442)+E(f889(x18441,x18443,x18444),f889(x18442,x18443,x18444)) % 169.26/169.11 [1845]~E(x18451,x18452)+E(f889(x18453,x18451,x18454),f889(x18453,x18452,x18454)) % 169.26/169.11 [1846]~E(x18461,x18462)+E(f889(x18463,x18464,x18461),f889(x18463,x18464,x18462)) % 169.26/169.11 [1847]~E(x18471,x18472)+E(f528(x18471,x18473,x18474,x18475,x18476,x18477),f528(x18472,x18473,x18474,x18475,x18476,x18477)) % 169.26/169.11 [1848]~E(x18481,x18482)+E(f528(x18483,x18481,x18484,x18485,x18486,x18487),f528(x18483,x18482,x18484,x18485,x18486,x18487)) % 169.26/169.11 [1849]~E(x18491,x18492)+E(f528(x18493,x18494,x18491,x18495,x18496,x18497),f528(x18493,x18494,x18492,x18495,x18496,x18497)) % 169.26/169.11 [1850]~E(x18501,x18502)+E(f528(x18503,x18504,x18505,x18501,x18506,x18507),f528(x18503,x18504,x18505,x18502,x18506,x18507)) % 169.26/169.11 [1851]~E(x18511,x18512)+E(f528(x18513,x18514,x18515,x18516,x18511,x18517),f528(x18513,x18514,x18515,x18516,x18512,x18517)) % 169.26/169.11 [1852]~E(x18521,x18522)+E(f528(x18523,x18524,x18525,x18526,x18527,x18521),f528(x18523,x18524,x18525,x18526,x18527,x18522)) % 169.26/169.11 [1853]~E(x18531,x18532)+E(f434(x18531,x18533,x18534),f434(x18532,x18533,x18534)) % 169.26/169.11 [1854]~E(x18541,x18542)+E(f434(x18543,x18541,x18544),f434(x18543,x18542,x18544)) % 169.26/169.11 [1855]~E(x18551,x18552)+E(f434(x18553,x18554,x18551),f434(x18553,x18554,x18552)) % 169.26/169.11 [1856]~E(x18561,x18562)+E(f735(x18561,x18563,x18564),f735(x18562,x18563,x18564)) % 169.26/169.11 [1857]~E(x18571,x18572)+E(f735(x18573,x18571,x18574),f735(x18573,x18572,x18574)) % 169.26/169.11 [1858]~E(x18581,x18582)+E(f735(x18583,x18584,x18581),f735(x18583,x18584,x18582)) % 169.26/169.11 [1859]~E(x18591,x18592)+E(f386(x18591,x18593,x18594,x18595),f386(x18592,x18593,x18594,x18595)) % 169.26/169.11 [1860]~E(x18601,x18602)+E(f386(x18603,x18601,x18604,x18605),f386(x18603,x18602,x18604,x18605)) % 169.26/169.11 [1861]~E(x18611,x18612)+E(f386(x18613,x18614,x18611,x18615),f386(x18613,x18614,x18612,x18615)) % 169.26/169.11 [1862]~E(x18621,x18622)+E(f386(x18623,x18624,x18625,x18621),f386(x18623,x18624,x18625,x18622)) % 169.26/169.11 [1863]~E(x18631,x18632)+E(f823(x18631,x18633,x18634,x18635),f823(x18632,x18633,x18634,x18635)) % 169.26/169.11 [1864]~E(x18641,x18642)+E(f823(x18643,x18641,x18644,x18645),f823(x18643,x18642,x18644,x18645)) % 169.26/169.11 [1865]~E(x18651,x18652)+E(f823(x18653,x18654,x18651,x18655),f823(x18653,x18654,x18652,x18655)) % 169.26/169.11 [1866]~E(x18661,x18662)+E(f823(x18663,x18664,x18665,x18661),f823(x18663,x18664,x18665,x18662)) % 169.26/169.11 [1867]~E(x18671,x18672)+E(f527(x18671,x18673,x18674,x18675,x18676,x18677),f527(x18672,x18673,x18674,x18675,x18676,x18677)) % 169.26/169.11 [1868]~E(x18681,x18682)+E(f527(x18683,x18681,x18684,x18685,x18686,x18687),f527(x18683,x18682,x18684,x18685,x18686,x18687)) % 169.26/169.11 [1869]~E(x18691,x18692)+E(f527(x18693,x18694,x18691,x18695,x18696,x18697),f527(x18693,x18694,x18692,x18695,x18696,x18697)) % 169.26/169.11 [1870]~E(x18701,x18702)+E(f527(x18703,x18704,x18705,x18701,x18706,x18707),f527(x18703,x18704,x18705,x18702,x18706,x18707)) % 169.26/169.11 [1871]~E(x18711,x18712)+E(f527(x18713,x18714,x18715,x18716,x18711,x18717),f527(x18713,x18714,x18715,x18716,x18712,x18717)) % 169.26/169.11 [1872]~E(x18721,x18722)+E(f527(x18723,x18724,x18725,x18726,x18727,x18721),f527(x18723,x18724,x18725,x18726,x18727,x18722)) % 169.26/169.11 [1873]~E(x18731,x18732)+E(f645(x18731,x18733),f645(x18732,x18733)) % 169.26/169.11 [1874]~E(x18741,x18742)+E(f645(x18743,x18741),f645(x18743,x18742)) % 169.26/169.11 [1875]~E(x18751,x18752)+E(f612(x18751,x18753,x18754),f612(x18752,x18753,x18754)) % 169.26/169.11 [1876]~E(x18761,x18762)+E(f612(x18763,x18761,x18764),f612(x18763,x18762,x18764)) % 169.26/169.11 [1877]~E(x18771,x18772)+E(f612(x18773,x18774,x18771),f612(x18773,x18774,x18772)) % 169.26/169.11 [1878]~E(x18781,x18782)+E(f362(x18781,x18783,x18784,x18785),f362(x18782,x18783,x18784,x18785)) % 169.26/169.11 [1879]~E(x18791,x18792)+E(f362(x18793,x18791,x18794,x18795),f362(x18793,x18792,x18794,x18795)) % 169.26/169.11 [1880]~E(x18801,x18802)+E(f362(x18803,x18804,x18801,x18805),f362(x18803,x18804,x18802,x18805)) % 169.26/169.11 [1881]~E(x18811,x18812)+E(f362(x18813,x18814,x18815,x18811),f362(x18813,x18814,x18815,x18812)) % 169.26/169.11 [1882]~E(x18821,x18822)+E(f430(x18821,x18823,x18824,x18825,x18826),f430(x18822,x18823,x18824,x18825,x18826)) % 169.26/169.11 [1883]~E(x18831,x18832)+E(f430(x18833,x18831,x18834,x18835,x18836),f430(x18833,x18832,x18834,x18835,x18836)) % 169.26/169.11 [1884]~E(x18841,x18842)+E(f430(x18843,x18844,x18841,x18845,x18846),f430(x18843,x18844,x18842,x18845,x18846)) % 169.26/169.11 [1885]~E(x18851,x18852)+E(f430(x18853,x18854,x18855,x18851,x18856),f430(x18853,x18854,x18855,x18852,x18856)) % 169.26/169.11 [1886]~E(x18861,x18862)+E(f430(x18863,x18864,x18865,x18866,x18861),f430(x18863,x18864,x18865,x18866,x18862)) % 169.26/169.11 [1887]~E(x18871,x18872)+E(f643(x18871,x18873,x18874),f643(x18872,x18873,x18874)) % 169.26/169.11 [1888]~E(x18881,x18882)+E(f643(x18883,x18881,x18884),f643(x18883,x18882,x18884)) % 169.26/169.11 [1889]~E(x18891,x18892)+E(f643(x18893,x18894,x18891),f643(x18893,x18894,x18892)) % 169.26/169.11 [1890]~E(x18901,x18902)+E(f656(x18901,x18903,x18904),f656(x18902,x18903,x18904)) % 169.26/169.11 [1891]~E(x18911,x18912)+E(f656(x18913,x18911,x18914),f656(x18913,x18912,x18914)) % 169.26/169.11 [1892]~E(x18921,x18922)+E(f656(x18923,x18924,x18921),f656(x18923,x18924,x18922)) % 169.26/169.11 [1893]~E(x18931,x18932)+E(f680(x18931,x18933,x18934,x18935,x18936),f680(x18932,x18933,x18934,x18935,x18936)) % 169.26/169.11 [1894]~E(x18941,x18942)+E(f680(x18943,x18941,x18944,x18945,x18946),f680(x18943,x18942,x18944,x18945,x18946)) % 169.26/169.11 [1895]~E(x18951,x18952)+E(f680(x18953,x18954,x18951,x18955,x18956),f680(x18953,x18954,x18952,x18955,x18956)) % 169.26/169.11 [1896]~E(x18961,x18962)+E(f680(x18963,x18964,x18965,x18961,x18966),f680(x18963,x18964,x18965,x18962,x18966)) % 169.26/169.11 [1897]~E(x18971,x18972)+E(f680(x18973,x18974,x18975,x18976,x18971),f680(x18973,x18974,x18975,x18976,x18972)) % 169.26/169.11 [1898]~E(x18981,x18982)+E(f505(x18981,x18983,x18984),f505(x18982,x18983,x18984)) % 169.26/169.11 [1899]~E(x18991,x18992)+E(f505(x18993,x18991,x18994),f505(x18993,x18992,x18994)) % 169.26/169.11 [1900]~E(x19001,x19002)+E(f505(x19003,x19004,x19001),f505(x19003,x19004,x19002)) % 169.26/169.11 [1901]~E(x19011,x19012)+E(f753(x19011,x19013,x19014),f753(x19012,x19013,x19014)) % 169.26/169.11 [1902]~E(x19021,x19022)+E(f753(x19023,x19021,x19024),f753(x19023,x19022,x19024)) % 169.26/169.11 [1903]~E(x19031,x19032)+E(f753(x19033,x19034,x19031),f753(x19033,x19034,x19032)) % 169.26/169.11 [1904]~E(x19041,x19042)+E(f489(x19041,x19043),f489(x19042,x19043)) % 169.26/169.11 [1905]~E(x19051,x19052)+E(f489(x19053,x19051),f489(x19053,x19052)) % 169.26/169.11 [1906]~E(x19061,x19062)+E(f501(x19061,x19063,x19064,x19065,x19066),f501(x19062,x19063,x19064,x19065,x19066)) % 169.26/169.11 [1907]~E(x19071,x19072)+E(f501(x19073,x19071,x19074,x19075,x19076),f501(x19073,x19072,x19074,x19075,x19076)) % 169.26/169.11 [1908]~E(x19081,x19082)+E(f501(x19083,x19084,x19081,x19085,x19086),f501(x19083,x19084,x19082,x19085,x19086)) % 169.26/169.11 [1909]~E(x19091,x19092)+E(f501(x19093,x19094,x19095,x19091,x19096),f501(x19093,x19094,x19095,x19092,x19096)) % 169.26/169.11 [1910]~E(x19101,x19102)+E(f501(x19103,x19104,x19105,x19106,x19101),f501(x19103,x19104,x19105,x19106,x19102)) % 169.26/169.11 [1911]~E(x19111,x19112)+E(f715(x19111,x19113,x19114,x19115,x19116),f715(x19112,x19113,x19114,x19115,x19116)) % 169.26/169.11 [1912]~E(x19121,x19122)+E(f715(x19123,x19121,x19124,x19125,x19126),f715(x19123,x19122,x19124,x19125,x19126)) % 169.26/169.11 [1913]~E(x19131,x19132)+E(f715(x19133,x19134,x19131,x19135,x19136),f715(x19133,x19134,x19132,x19135,x19136)) % 169.26/169.11 [1914]~E(x19141,x19142)+E(f715(x19143,x19144,x19145,x19141,x19146),f715(x19143,x19144,x19145,x19142,x19146)) % 169.26/169.11 [1915]~E(x19151,x19152)+E(f715(x19153,x19154,x19155,x19156,x19151),f715(x19153,x19154,x19155,x19156,x19152)) % 169.26/169.11 [1916]~E(x19161,x19162)+E(f508(x19161,x19163,x19164,x19165),f508(x19162,x19163,x19164,x19165)) % 169.26/169.11 [1917]~E(x19171,x19172)+E(f508(x19173,x19171,x19174,x19175),f508(x19173,x19172,x19174,x19175)) % 169.26/169.11 [1918]~E(x19181,x19182)+E(f508(x19183,x19184,x19181,x19185),f508(x19183,x19184,x19182,x19185)) % 169.26/169.11 [1919]~E(x19191,x19192)+E(f508(x19193,x19194,x19195,x19191),f508(x19193,x19194,x19195,x19192)) % 169.26/169.11 [1920]~E(x19201,x19202)+E(f879(x19201,x19203,x19204),f879(x19202,x19203,x19204)) % 169.26/169.11 [1921]~E(x19211,x19212)+E(f879(x19213,x19211,x19214),f879(x19213,x19212,x19214)) % 169.26/169.11 [1922]~E(x19221,x19222)+E(f879(x19223,x19224,x19221),f879(x19223,x19224,x19222)) % 169.26/169.11 [1923]~E(x19231,x19232)+E(f479(x19231,x19233,x19234),f479(x19232,x19233,x19234)) % 169.26/169.11 [1924]~E(x19241,x19242)+E(f479(x19243,x19241,x19244),f479(x19243,x19242,x19244)) % 169.26/169.11 [1925]~E(x19251,x19252)+E(f479(x19253,x19254,x19251),f479(x19253,x19254,x19252)) % 169.26/169.11 [1926]~E(x19261,x19262)+E(f563(x19261,x19263,x19264),f563(x19262,x19263,x19264)) % 169.26/169.11 [1927]~E(x19271,x19272)+E(f563(x19273,x19271,x19274),f563(x19273,x19272,x19274)) % 169.26/169.11 [1928]~E(x19281,x19282)+E(f563(x19283,x19284,x19281),f563(x19283,x19284,x19282)) % 169.26/169.11 [1929]~E(x19291,x19292)+E(f467(x19291,x19293,x19294),f467(x19292,x19293,x19294)) % 169.26/169.11 [1930]~E(x19301,x19302)+E(f467(x19303,x19301,x19304),f467(x19303,x19302,x19304)) % 169.26/169.11 [1931]~E(x19311,x19312)+E(f467(x19313,x19314,x19311),f467(x19313,x19314,x19312)) % 169.26/169.11 [1932]~E(x19321,x19322)+E(f388(x19321,x19323,x19324,x19325),f388(x19322,x19323,x19324,x19325)) % 169.26/169.11 [1933]~E(x19331,x19332)+E(f388(x19333,x19331,x19334,x19335),f388(x19333,x19332,x19334,x19335)) % 169.26/169.11 [1934]~E(x19341,x19342)+E(f388(x19343,x19344,x19341,x19345),f388(x19343,x19344,x19342,x19345)) % 169.26/169.11 [1935]~E(x19351,x19352)+E(f388(x19353,x19354,x19355,x19351),f388(x19353,x19354,x19355,x19352)) % 169.26/169.11 [1936]~E(x19361,x19362)+E(f589(x19361,x19363,x19364),f589(x19362,x19363,x19364)) % 169.26/169.11 [1937]~E(x19371,x19372)+E(f589(x19373,x19371,x19374),f589(x19373,x19372,x19374)) % 169.26/169.11 [1938]~E(x19381,x19382)+E(f589(x19383,x19384,x19381),f589(x19383,x19384,x19382)) % 169.26/169.11 [1939]~E(x19391,x19392)+E(f887(x19391,x19393,x19394),f887(x19392,x19393,x19394)) % 169.26/169.11 [1940]~E(x19401,x19402)+E(f887(x19403,x19401,x19404),f887(x19403,x19402,x19404)) % 169.26/169.11 [1941]~E(x19411,x19412)+E(f887(x19413,x19414,x19411),f887(x19413,x19414,x19412)) % 169.26/169.11 [1942]~E(x19421,x19422)+E(f466(x19421,x19423,x19424),f466(x19422,x19423,x19424)) % 169.26/169.11 [1943]~E(x19431,x19432)+E(f466(x19433,x19431,x19434),f466(x19433,x19432,x19434)) % 169.26/169.11 [1944]~E(x19441,x19442)+E(f466(x19443,x19444,x19441),f466(x19443,x19444,x19442)) % 169.26/169.11 [1945]~E(x19451,x19452)+E(f824(x19451,x19453,x19454,x19455,x19456,x19457),f824(x19452,x19453,x19454,x19455,x19456,x19457)) % 169.26/169.11 [1946]~E(x19461,x19462)+E(f824(x19463,x19461,x19464,x19465,x19466,x19467),f824(x19463,x19462,x19464,x19465,x19466,x19467)) % 169.26/169.11 [1947]~E(x19471,x19472)+E(f824(x19473,x19474,x19471,x19475,x19476,x19477),f824(x19473,x19474,x19472,x19475,x19476,x19477)) % 169.26/169.11 [1948]~E(x19481,x19482)+E(f824(x19483,x19484,x19485,x19481,x19486,x19487),f824(x19483,x19484,x19485,x19482,x19486,x19487)) % 169.26/169.11 [1949]~E(x19491,x19492)+E(f824(x19493,x19494,x19495,x19496,x19491,x19497),f824(x19493,x19494,x19495,x19496,x19492,x19497)) % 169.26/169.11 [1950]~E(x19501,x19502)+E(f824(x19503,x19504,x19505,x19506,x19507,x19501),f824(x19503,x19504,x19505,x19506,x19507,x19502)) % 169.26/169.11 [1951]~E(x19511,x19512)+E(f191(x19511),f191(x19512)) % 169.26/169.11 [1952]~E(x19521,x19522)+E(f746(x19521,x19523,x19524),f746(x19522,x19523,x19524)) % 169.26/169.11 [1953]~E(x19531,x19532)+E(f746(x19533,x19531,x19534),f746(x19533,x19532,x19534)) % 169.26/169.11 [1954]~E(x19541,x19542)+E(f746(x19543,x19544,x19541),f746(x19543,x19544,x19542)) % 169.26/169.11 [1955]~E(x19551,x19552)+E(f397(x19551,x19553,x19554),f397(x19552,x19553,x19554)) % 169.26/169.11 [1956]~E(x19561,x19562)+E(f397(x19563,x19561,x19564),f397(x19563,x19562,x19564)) % 169.26/169.11 [1957]~E(x19571,x19572)+E(f397(x19573,x19574,x19571),f397(x19573,x19574,x19572)) % 169.26/169.11 [1958]~E(x19581,x19582)+E(f164(x19581,x19583,x19584),f164(x19582,x19583,x19584)) % 169.26/169.11 [1959]~E(x19591,x19592)+E(f164(x19593,x19591,x19594),f164(x19593,x19592,x19594)) % 169.26/169.11 [1960]~E(x19601,x19602)+E(f164(x19603,x19604,x19601),f164(x19603,x19604,x19602)) % 169.26/169.11 [1961]~E(x19611,x19612)+E(f192(x19611,x19613),f192(x19612,x19613)) % 169.26/169.11 [1962]~E(x19621,x19622)+E(f192(x19623,x19621),f192(x19623,x19622)) % 169.26/169.11 [1963]~E(x19631,x19632)+E(f222(x19631,x19633),f222(x19632,x19633)) % 169.26/169.11 [1964]~E(x19641,x19642)+E(f222(x19643,x19641),f222(x19643,x19642)) % 169.26/169.11 [1965]~E(x19651,x19652)+E(f695(x19651,x19653),f695(x19652,x19653)) % 169.26/169.11 [1966]~E(x19661,x19662)+E(f695(x19663,x19661),f695(x19663,x19662)) % 169.26/169.11 [1967]~E(x19671,x19672)+E(f328(x19671,x19673,x19674,x19675),f328(x19672,x19673,x19674,x19675)) % 169.26/169.11 [1968]~E(x19681,x19682)+E(f328(x19683,x19681,x19684,x19685),f328(x19683,x19682,x19684,x19685)) % 169.26/169.11 [1969]~E(x19691,x19692)+E(f328(x19693,x19694,x19691,x19695),f328(x19693,x19694,x19692,x19695)) % 169.26/169.11 [1970]~E(x19701,x19702)+E(f328(x19703,x19704,x19705,x19701),f328(x19703,x19704,x19705,x19702)) % 169.26/169.11 [1971]~E(x19711,x19712)+E(f391(x19711,x19713,x19714,x19715),f391(x19712,x19713,x19714,x19715)) % 169.26/169.11 [1972]~E(x19721,x19722)+E(f391(x19723,x19721,x19724,x19725),f391(x19723,x19722,x19724,x19725)) % 169.26/169.11 [1973]~E(x19731,x19732)+E(f391(x19733,x19734,x19731,x19735),f391(x19733,x19734,x19732,x19735)) % 169.26/169.11 [1974]~E(x19741,x19742)+E(f391(x19743,x19744,x19745,x19741),f391(x19743,x19744,x19745,x19742)) % 169.26/169.11 [1975]~E(x19751,x19752)+E(f636(x19751,x19753,x19754,x19755,x19756,x19757,x19758),f636(x19752,x19753,x19754,x19755,x19756,x19757,x19758)) % 169.26/169.11 [1976]~E(x19761,x19762)+E(f636(x19763,x19761,x19764,x19765,x19766,x19767,x19768),f636(x19763,x19762,x19764,x19765,x19766,x19767,x19768)) % 169.26/169.11 [1977]~E(x19771,x19772)+E(f636(x19773,x19774,x19771,x19775,x19776,x19777,x19778),f636(x19773,x19774,x19772,x19775,x19776,x19777,x19778)) % 169.26/169.11 [1978]~E(x19781,x19782)+E(f636(x19783,x19784,x19785,x19781,x19786,x19787,x19788),f636(x19783,x19784,x19785,x19782,x19786,x19787,x19788)) % 169.26/169.11 [1979]~E(x19791,x19792)+E(f636(x19793,x19794,x19795,x19796,x19791,x19797,x19798),f636(x19793,x19794,x19795,x19796,x19792,x19797,x19798)) % 169.26/169.11 [1980]~E(x19801,x19802)+E(f636(x19803,x19804,x19805,x19806,x19807,x19801,x19808),f636(x19803,x19804,x19805,x19806,x19807,x19802,x19808)) % 169.26/169.11 [1981]~E(x19811,x19812)+E(f636(x19813,x19814,x19815,x19816,x19817,x19818,x19811),f636(x19813,x19814,x19815,x19816,x19817,x19818,x19812)) % 169.26/169.11 [1982]~E(x19821,x19822)+E(f208(x19821,x19823),f208(x19822,x19823)) % 169.26/169.11 [1983]~E(x19831,x19832)+E(f208(x19833,x19831),f208(x19833,x19832)) % 169.26/169.11 [1984]~E(x19841,x19842)+E(f392(x19841,x19843,x19844,x19845,x19846),f392(x19842,x19843,x19844,x19845,x19846)) % 169.26/169.11 [1985]~E(x19851,x19852)+E(f392(x19853,x19851,x19854,x19855,x19856),f392(x19853,x19852,x19854,x19855,x19856)) % 169.26/169.11 [1986]~E(x19861,x19862)+E(f392(x19863,x19864,x19861,x19865,x19866),f392(x19863,x19864,x19862,x19865,x19866)) % 169.26/169.11 [1987]~E(x19871,x19872)+E(f392(x19873,x19874,x19875,x19871,x19876),f392(x19873,x19874,x19875,x19872,x19876)) % 169.26/169.11 [1988]~E(x19881,x19882)+E(f392(x19883,x19884,x19885,x19886,x19881),f392(x19883,x19884,x19885,x19886,x19882)) % 169.26/169.11 [1989]~E(x19891,x19892)+E(f628(x19891,x19893,x19894,x19895),f628(x19892,x19893,x19894,x19895)) % 169.26/169.11 [1990]~E(x19901,x19902)+E(f628(x19903,x19901,x19904,x19905),f628(x19903,x19902,x19904,x19905)) % 169.26/169.11 [1991]~E(x19911,x19912)+E(f628(x19913,x19914,x19911,x19915),f628(x19913,x19914,x19912,x19915)) % 169.26/169.11 [1992]~E(x19921,x19922)+E(f628(x19923,x19924,x19925,x19921),f628(x19923,x19924,x19925,x19922)) % 169.26/169.11 [1993]~E(x19931,x19932)+E(f865(x19931,x19933),f865(x19932,x19933)) % 169.26/169.11 [1994]~E(x19941,x19942)+E(f865(x19943,x19941),f865(x19943,x19942)) % 169.26/169.11 [1995]~E(x19951,x19952)+E(f626(x19951,x19953,x19954,x19955,x19956,x19957),f626(x19952,x19953,x19954,x19955,x19956,x19957)) % 169.26/169.11 [1996]~E(x19961,x19962)+E(f626(x19963,x19961,x19964,x19965,x19966,x19967),f626(x19963,x19962,x19964,x19965,x19966,x19967)) % 169.26/169.11 [1997]~E(x19971,x19972)+E(f626(x19973,x19974,x19971,x19975,x19976,x19977),f626(x19973,x19974,x19972,x19975,x19976,x19977)) % 169.26/169.11 [1998]~E(x19981,x19982)+E(f626(x19983,x19984,x19985,x19981,x19986,x19987),f626(x19983,x19984,x19985,x19982,x19986,x19987)) % 169.26/169.11 [1999]~E(x19991,x19992)+E(f626(x19993,x19994,x19995,x19996,x19991,x19997),f626(x19993,x19994,x19995,x19996,x19992,x19997)) % 169.26/169.11 [2000]~E(x20001,x20002)+E(f626(x20003,x20004,x20005,x20006,x20007,x20001),f626(x20003,x20004,x20005,x20006,x20007,x20002)) % 169.26/169.11 [2001]~E(x20011,x20012)+E(f675(x20011,x20013),f675(x20012,x20013)) % 169.26/169.11 [2002]~E(x20021,x20022)+E(f675(x20023,x20021),f675(x20023,x20022)) % 169.26/169.11 [2003]~E(x20031,x20032)+E(f510(x20031,x20033),f510(x20032,x20033)) % 169.26/169.11 [2004]~E(x20041,x20042)+E(f510(x20043,x20041),f510(x20043,x20042)) % 169.26/169.11 [2005]~E(x20051,x20052)+E(f374(x20051,x20053,x20054,x20055),f374(x20052,x20053,x20054,x20055)) % 169.26/169.11 [2006]~E(x20061,x20062)+E(f374(x20063,x20061,x20064,x20065),f374(x20063,x20062,x20064,x20065)) % 169.26/169.11 [2007]~E(x20071,x20072)+E(f374(x20073,x20074,x20071,x20075),f374(x20073,x20074,x20072,x20075)) % 169.26/169.11 [2008]~E(x20081,x20082)+E(f374(x20083,x20084,x20085,x20081),f374(x20083,x20084,x20085,x20082)) % 169.26/169.11 [2009]~E(x20091,x20092)+E(f800(x20091,x20093,x20094),f800(x20092,x20093,x20094)) % 169.26/169.11 [2010]~E(x20101,x20102)+E(f800(x20103,x20101,x20104),f800(x20103,x20102,x20104)) % 169.26/169.11 [2011]~E(x20111,x20112)+E(f800(x20113,x20114,x20111),f800(x20113,x20114,x20112)) % 169.26/169.11 [2012]~E(x20121,x20122)+E(f402(x20121,x20123,x20124),f402(x20122,x20123,x20124)) % 169.26/169.11 [2013]~E(x20131,x20132)+E(f402(x20133,x20131,x20134),f402(x20133,x20132,x20134)) % 169.26/169.11 [2014]~E(x20141,x20142)+E(f402(x20143,x20144,x20141),f402(x20143,x20144,x20142)) % 169.26/169.11 [2015]~E(x20151,x20152)+E(f663(x20151,x20153,x20154,x20155),f663(x20152,x20153,x20154,x20155)) % 169.26/169.11 [2016]~E(x20161,x20162)+E(f663(x20163,x20161,x20164,x20165),f663(x20163,x20162,x20164,x20165)) % 169.26/169.11 [2017]~E(x20171,x20172)+E(f663(x20173,x20174,x20171,x20175),f663(x20173,x20174,x20172,x20175)) % 169.26/169.11 [2018]~E(x20181,x20182)+E(f663(x20183,x20184,x20185,x20181),f663(x20183,x20184,x20185,x20182)) % 169.26/169.11 [2019]~E(x20191,x20192)+E(f697(x20191,x20193,x20194),f697(x20192,x20193,x20194)) % 169.26/169.11 [2020]~E(x20201,x20202)+E(f697(x20203,x20201,x20204),f697(x20203,x20202,x20204)) % 169.26/169.11 [2021]~E(x20211,x20212)+E(f697(x20213,x20214,x20211),f697(x20213,x20214,x20212)) % 169.26/169.11 [2022]~E(x20221,x20222)+E(f303(x20221,x20223,x20224,x20225),f303(x20222,x20223,x20224,x20225)) % 169.26/169.11 [2023]~E(x20231,x20232)+E(f303(x20233,x20231,x20234,x20235),f303(x20233,x20232,x20234,x20235)) % 169.26/169.11 [2024]~E(x20241,x20242)+E(f303(x20243,x20244,x20241,x20245),f303(x20243,x20244,x20242,x20245)) % 169.26/169.11 [2025]~E(x20251,x20252)+E(f303(x20253,x20254,x20255,x20251),f303(x20253,x20254,x20255,x20252)) % 169.26/169.11 [2026]~E(x20261,x20262)+E(f539(x20261,x20263,x20264),f539(x20262,x20263,x20264)) % 169.26/169.11 [2027]~E(x20271,x20272)+E(f539(x20273,x20271,x20274),f539(x20273,x20272,x20274)) % 169.26/169.11 [2028]~E(x20281,x20282)+E(f539(x20283,x20284,x20281),f539(x20283,x20284,x20282)) % 169.26/169.11 [2029]~E(x20291,x20292)+E(f302(x20291,x20293),f302(x20292,x20293)) % 169.26/169.11 [2030]~E(x20301,x20302)+E(f302(x20303,x20301),f302(x20303,x20302)) % 169.26/169.11 [2031]~E(x20311,x20312)+E(f620(x20311,x20313,x20314,x20315),f620(x20312,x20313,x20314,x20315)) % 169.26/169.11 [2032]~E(x20321,x20322)+E(f620(x20323,x20321,x20324,x20325),f620(x20323,x20322,x20324,x20325)) % 169.26/169.11 [2033]~E(x20331,x20332)+E(f620(x20333,x20334,x20331,x20335),f620(x20333,x20334,x20332,x20335)) % 169.26/169.11 [2034]~E(x20341,x20342)+E(f620(x20343,x20344,x20345,x20341),f620(x20343,x20344,x20345,x20342)) % 169.26/169.11 [2035]~E(x20351,x20352)+E(f603(x20351,x20353,x20354,x20355),f603(x20352,x20353,x20354,x20355)) % 169.26/169.11 [2036]~E(x20361,x20362)+E(f603(x20363,x20361,x20364,x20365),f603(x20363,x20362,x20364,x20365)) % 169.26/169.11 [2037]~E(x20371,x20372)+E(f603(x20373,x20374,x20371,x20375),f603(x20373,x20374,x20372,x20375)) % 169.26/169.11 [2038]~E(x20381,x20382)+E(f603(x20383,x20384,x20385,x20381),f603(x20383,x20384,x20385,x20382)) % 169.26/169.11 [2039]~E(x20391,x20392)+E(f875(x20391,x20393,x20394),f875(x20392,x20393,x20394)) % 169.26/169.11 [2040]~E(x20401,x20402)+E(f875(x20403,x20401,x20404),f875(x20403,x20402,x20404)) % 169.26/169.11 [2041]~E(x20411,x20412)+E(f875(x20413,x20414,x20411),f875(x20413,x20414,x20412)) % 169.26/169.11 [2042]~E(x20421,x20422)+E(f443(x20421,x20423,x20424,x20425,x20426),f443(x20422,x20423,x20424,x20425,x20426)) % 169.26/169.11 [2043]~E(x20431,x20432)+E(f443(x20433,x20431,x20434,x20435,x20436),f443(x20433,x20432,x20434,x20435,x20436)) % 169.26/169.11 [2044]~E(x20441,x20442)+E(f443(x20443,x20444,x20441,x20445,x20446),f443(x20443,x20444,x20442,x20445,x20446)) % 169.26/169.11 [2045]~E(x20451,x20452)+E(f443(x20453,x20454,x20455,x20451,x20456),f443(x20453,x20454,x20455,x20452,x20456)) % 169.26/169.11 [2046]~E(x20461,x20462)+E(f443(x20463,x20464,x20465,x20466,x20461),f443(x20463,x20464,x20465,x20466,x20462)) % 169.26/169.11 [2047]~E(x20471,x20472)+E(f685(x20471,x20473),f685(x20472,x20473)) % 169.26/169.11 [2048]~E(x20481,x20482)+E(f685(x20483,x20481),f685(x20483,x20482)) % 169.26/169.11 [2049]~E(x20491,x20492)+E(f641(x20491,x20493,x20494),f641(x20492,x20493,x20494)) % 169.26/169.11 [2050]~E(x20501,x20502)+E(f641(x20503,x20501,x20504),f641(x20503,x20502,x20504)) % 169.26/169.11 [2051]~E(x20511,x20512)+E(f641(x20513,x20514,x20511),f641(x20513,x20514,x20512)) % 169.26/169.11 [2052]~E(x20521,x20522)+E(f807(x20521,x20523,x20524,x20525,x20526),f807(x20522,x20523,x20524,x20525,x20526)) % 169.26/169.11 [2053]~E(x20531,x20532)+E(f807(x20533,x20531,x20534,x20535,x20536),f807(x20533,x20532,x20534,x20535,x20536)) % 169.26/169.11 [2054]~E(x20541,x20542)+E(f807(x20543,x20544,x20541,x20545,x20546),f807(x20543,x20544,x20542,x20545,x20546)) % 169.26/169.11 [2055]~E(x20551,x20552)+E(f807(x20553,x20554,x20555,x20551,x20556),f807(x20553,x20554,x20555,x20552,x20556)) % 169.26/169.11 [2056]~E(x20561,x20562)+E(f807(x20563,x20564,x20565,x20566,x20561),f807(x20563,x20564,x20565,x20566,x20562)) % 169.26/169.11 [2057]~E(x20571,x20572)+E(f832(x20571,x20573,x20574,x20575,x20576,x20577),f832(x20572,x20573,x20574,x20575,x20576,x20577)) % 169.26/169.11 [2058]~E(x20581,x20582)+E(f832(x20583,x20581,x20584,x20585,x20586,x20587),f832(x20583,x20582,x20584,x20585,x20586,x20587)) % 169.26/169.11 [2059]~E(x20591,x20592)+E(f832(x20593,x20594,x20591,x20595,x20596,x20597),f832(x20593,x20594,x20592,x20595,x20596,x20597)) % 169.26/169.11 [2060]~E(x20601,x20602)+E(f832(x20603,x20604,x20605,x20601,x20606,x20607),f832(x20603,x20604,x20605,x20602,x20606,x20607)) % 169.26/169.11 [2061]~E(x20611,x20612)+E(f832(x20613,x20614,x20615,x20616,x20611,x20617),f832(x20613,x20614,x20615,x20616,x20612,x20617)) % 169.26/169.11 [2062]~E(x20621,x20622)+E(f832(x20623,x20624,x20625,x20626,x20627,x20621),f832(x20623,x20624,x20625,x20626,x20627,x20622)) % 169.26/169.11 [2063]~E(x20631,x20632)+E(f717(x20631,x20633,x20634),f717(x20632,x20633,x20634)) % 169.26/169.11 [2064]~E(x20641,x20642)+E(f717(x20643,x20641,x20644),f717(x20643,x20642,x20644)) % 169.26/169.11 [2065]~E(x20651,x20652)+E(f717(x20653,x20654,x20651),f717(x20653,x20654,x20652)) % 169.26/169.11 [2066]~E(x20661,x20662)+E(f263(x20661,x20663,x20664,x20665),f263(x20662,x20663,x20664,x20665)) % 169.26/169.11 [2067]~E(x20671,x20672)+E(f263(x20673,x20671,x20674,x20675),f263(x20673,x20672,x20674,x20675)) % 169.26/169.11 [2068]~E(x20681,x20682)+E(f263(x20683,x20684,x20681,x20685),f263(x20683,x20684,x20682,x20685)) % 169.26/169.11 [2069]~E(x20691,x20692)+E(f263(x20693,x20694,x20695,x20691),f263(x20693,x20694,x20695,x20692)) % 169.26/169.11 [2070]~E(x20701,x20702)+E(f664(x20701,x20703,x20704,x20705),f664(x20702,x20703,x20704,x20705)) % 169.26/169.11 [2071]~E(x20711,x20712)+E(f664(x20713,x20711,x20714,x20715),f664(x20713,x20712,x20714,x20715)) % 169.26/169.11 [2072]~E(x20721,x20722)+E(f664(x20723,x20724,x20721,x20725),f664(x20723,x20724,x20722,x20725)) % 169.26/169.11 [2073]~E(x20731,x20732)+E(f664(x20733,x20734,x20735,x20731),f664(x20733,x20734,x20735,x20732)) % 169.26/169.11 [2074]~E(x20741,x20742)+E(f751(x20741,x20743,x20744,x20745),f751(x20742,x20743,x20744,x20745)) % 169.26/169.11 [2075]~E(x20751,x20752)+E(f751(x20753,x20751,x20754,x20755),f751(x20753,x20752,x20754,x20755)) % 169.26/169.11 [2076]~E(x20761,x20762)+E(f751(x20763,x20764,x20761,x20765),f751(x20763,x20764,x20762,x20765)) % 169.26/169.11 [2077]~E(x20771,x20772)+E(f751(x20773,x20774,x20775,x20771),f751(x20773,x20774,x20775,x20772)) % 169.26/169.11 [2078]~E(x20781,x20782)+E(f338(x20781,x20783,x20784),f338(x20782,x20783,x20784)) % 169.26/169.11 [2079]~E(x20791,x20792)+E(f338(x20793,x20791,x20794),f338(x20793,x20792,x20794)) % 169.26/169.11 [2080]~E(x20801,x20802)+E(f338(x20803,x20804,x20801),f338(x20803,x20804,x20802)) % 169.26/169.11 [2081]~E(x20811,x20812)+E(f488(x20811),f488(x20812)) % 169.26/169.11 [2082]~E(x20821,x20822)+E(f737(x20821,x20823,x20824),f737(x20822,x20823,x20824)) % 169.26/169.11 [2083]~E(x20831,x20832)+E(f737(x20833,x20831,x20834),f737(x20833,x20832,x20834)) % 169.26/169.11 [2084]~E(x20841,x20842)+E(f737(x20843,x20844,x20841),f737(x20843,x20844,x20842)) % 169.26/169.11 [2085]~E(x20851,x20852)+E(f420(x20851,x20853,x20854,x20855,x20856),f420(x20852,x20853,x20854,x20855,x20856)) % 169.26/169.11 [2086]~E(x20861,x20862)+E(f420(x20863,x20861,x20864,x20865,x20866),f420(x20863,x20862,x20864,x20865,x20866)) % 169.26/169.11 [2087]~E(x20871,x20872)+E(f420(x20873,x20874,x20871,x20875,x20876),f420(x20873,x20874,x20872,x20875,x20876)) % 169.26/169.11 [2088]~E(x20881,x20882)+E(f420(x20883,x20884,x20885,x20881,x20886),f420(x20883,x20884,x20885,x20882,x20886)) % 169.26/169.11 [2089]~E(x20891,x20892)+E(f420(x20893,x20894,x20895,x20896,x20891),f420(x20893,x20894,x20895,x20896,x20892)) % 169.26/169.11 [2090]~E(x20901,x20902)+E(f496(x20901,x20903,x20904,x20905,x20906,x20907),f496(x20902,x20903,x20904,x20905,x20906,x20907)) % 169.26/169.11 [2091]~E(x20911,x20912)+E(f496(x20913,x20911,x20914,x20915,x20916,x20917),f496(x20913,x20912,x20914,x20915,x20916,x20917)) % 169.26/169.11 [2092]~E(x20921,x20922)+E(f496(x20923,x20924,x20921,x20925,x20926,x20927),f496(x20923,x20924,x20922,x20925,x20926,x20927)) % 169.26/169.11 [2093]~E(x20931,x20932)+E(f496(x20933,x20934,x20935,x20931,x20936,x20937),f496(x20933,x20934,x20935,x20932,x20936,x20937)) % 169.26/169.11 [2094]~E(x20941,x20942)+E(f496(x20943,x20944,x20945,x20946,x20941,x20947),f496(x20943,x20944,x20945,x20946,x20942,x20947)) % 169.26/169.11 [2095]~E(x20951,x20952)+E(f496(x20953,x20954,x20955,x20956,x20957,x20951),f496(x20953,x20954,x20955,x20956,x20957,x20952)) % 169.26/169.11 [2096]~E(x20961,x20962)+E(f529(x20961,x20963,x20964),f529(x20962,x20963,x20964)) % 169.26/169.11 [2097]~E(x20971,x20972)+E(f529(x20973,x20971,x20974),f529(x20973,x20972,x20974)) % 169.26/169.11 [2098]~E(x20981,x20982)+E(f529(x20983,x20984,x20981),f529(x20983,x20984,x20982)) % 169.26/169.11 [2099]~E(x20991,x20992)+E(f506(x20991,x20993,x20994,x20995),f506(x20992,x20993,x20994,x20995)) % 169.26/169.11 [2100]~E(x21001,x21002)+E(f506(x21003,x21001,x21004,x21005),f506(x21003,x21002,x21004,x21005)) % 169.26/169.11 [2101]~E(x21011,x21012)+E(f506(x21013,x21014,x21011,x21015),f506(x21013,x21014,x21012,x21015)) % 169.26/169.11 [2102]~E(x21021,x21022)+E(f506(x21023,x21024,x21025,x21021),f506(x21023,x21024,x21025,x21022)) % 169.26/169.11 [2103]~E(x21031,x21032)+E(f530(x21031,x21033,x21034,x21035,x21036,x21037),f530(x21032,x21033,x21034,x21035,x21036,x21037)) % 169.26/169.11 [2104]~E(x21041,x21042)+E(f530(x21043,x21041,x21044,x21045,x21046,x21047),f530(x21043,x21042,x21044,x21045,x21046,x21047)) % 169.26/169.11 [2105]~E(x21051,x21052)+E(f530(x21053,x21054,x21051,x21055,x21056,x21057),f530(x21053,x21054,x21052,x21055,x21056,x21057)) % 169.26/169.11 [2106]~E(x21061,x21062)+E(f530(x21063,x21064,x21065,x21061,x21066,x21067),f530(x21063,x21064,x21065,x21062,x21066,x21067)) % 169.26/169.11 [2107]~E(x21071,x21072)+E(f530(x21073,x21074,x21075,x21076,x21071,x21077),f530(x21073,x21074,x21075,x21076,x21072,x21077)) % 169.26/169.11 [2108]~E(x21081,x21082)+E(f530(x21083,x21084,x21085,x21086,x21087,x21081),f530(x21083,x21084,x21085,x21086,x21087,x21082)) % 169.26/169.11 [2109]~E(x21091,x21092)+E(f441(x21091,x21093,x21094,x21095,x21096),f441(x21092,x21093,x21094,x21095,x21096)) % 169.26/169.11 [2110]~E(x21101,x21102)+E(f441(x21103,x21101,x21104,x21105,x21106),f441(x21103,x21102,x21104,x21105,x21106)) % 169.26/169.11 [2111]~E(x21111,x21112)+E(f441(x21113,x21114,x21111,x21115,x21116),f441(x21113,x21114,x21112,x21115,x21116)) % 169.26/169.11 [2112]~E(x21121,x21122)+E(f441(x21123,x21124,x21125,x21121,x21126),f441(x21123,x21124,x21125,x21122,x21126)) % 169.26/169.11 [2113]~E(x21131,x21132)+E(f441(x21133,x21134,x21135,x21136,x21131),f441(x21133,x21134,x21135,x21136,x21132)) % 169.26/169.11 [2114]~E(x21141,x21142)+E(f635(x21141,x21143,x21144,x21145,x21146),f635(x21142,x21143,x21144,x21145,x21146)) % 169.26/169.11 [2115]~E(x21151,x21152)+E(f635(x21153,x21151,x21154,x21155,x21156),f635(x21153,x21152,x21154,x21155,x21156)) % 169.26/169.11 [2116]~E(x21161,x21162)+E(f635(x21163,x21164,x21161,x21165,x21166),f635(x21163,x21164,x21162,x21165,x21166)) % 169.26/169.11 [2117]~E(x21171,x21172)+E(f635(x21173,x21174,x21175,x21171,x21176),f635(x21173,x21174,x21175,x21172,x21176)) % 169.26/169.11 [2118]~E(x21181,x21182)+E(f635(x21183,x21184,x21185,x21186,x21181),f635(x21183,x21184,x21185,x21186,x21182)) % 169.26/169.11 [2119]~E(x21191,x21192)+E(f62(x21191,x21193,x21194),f62(x21192,x21193,x21194)) % 169.26/169.11 [2120]~E(x21201,x21202)+E(f62(x21203,x21201,x21204),f62(x21203,x21202,x21204)) % 169.26/169.11 [2121]~E(x21211,x21212)+E(f62(x21213,x21214,x21211),f62(x21213,x21214,x21212)) % 169.26/169.11 [2122]~E(x21221,x21222)+E(f667(x21221,x21223,x21224,x21225,x21226),f667(x21222,x21223,x21224,x21225,x21226)) % 169.26/169.11 [2123]~E(x21231,x21232)+E(f667(x21233,x21231,x21234,x21235,x21236),f667(x21233,x21232,x21234,x21235,x21236)) % 169.26/169.11 [2124]~E(x21241,x21242)+E(f667(x21243,x21244,x21241,x21245,x21246),f667(x21243,x21244,x21242,x21245,x21246)) % 169.26/169.11 [2125]~E(x21251,x21252)+E(f667(x21253,x21254,x21255,x21251,x21256),f667(x21253,x21254,x21255,x21252,x21256)) % 169.26/169.11 [2126]~E(x21261,x21262)+E(f667(x21263,x21264,x21265,x21266,x21261),f667(x21263,x21264,x21265,x21266,x21262)) % 169.26/169.11 [2127]~E(x21271,x21272)+E(f21(x21271,x21273),f21(x21272,x21273)) % 169.26/169.11 [2128]~E(x21281,x21282)+E(f21(x21283,x21281),f21(x21283,x21282)) % 169.26/169.11 [2129]~E(x21291,x21292)+E(f679(x21291,x21293,x21294,x21295,x21296),f679(x21292,x21293,x21294,x21295,x21296)) % 169.26/169.11 [2130]~E(x21301,x21302)+E(f679(x21303,x21301,x21304,x21305,x21306),f679(x21303,x21302,x21304,x21305,x21306)) % 169.26/169.11 [2131]~E(x21311,x21312)+E(f679(x21313,x21314,x21311,x21315,x21316),f679(x21313,x21314,x21312,x21315,x21316)) % 169.26/169.11 [2132]~E(x21321,x21322)+E(f679(x21323,x21324,x21325,x21321,x21326),f679(x21323,x21324,x21325,x21322,x21326)) % 169.26/169.11 [2133]~E(x21331,x21332)+E(f679(x21333,x21334,x21335,x21336,x21331),f679(x21333,x21334,x21335,x21336,x21332)) % 169.26/169.11 [2134]~E(x21341,x21342)+E(f567(x21341,x21343,x21344,x21345,x21346),f567(x21342,x21343,x21344,x21345,x21346)) % 169.26/169.11 [2135]~E(x21351,x21352)+E(f567(x21353,x21351,x21354,x21355,x21356),f567(x21353,x21352,x21354,x21355,x21356)) % 169.26/169.11 [2136]~E(x21361,x21362)+E(f567(x21363,x21364,x21361,x21365,x21366),f567(x21363,x21364,x21362,x21365,x21366)) % 169.26/169.11 [2137]~E(x21371,x21372)+E(f567(x21373,x21374,x21375,x21371,x21376),f567(x21373,x21374,x21375,x21372,x21376)) % 169.26/169.11 [2138]~E(x21381,x21382)+E(f567(x21383,x21384,x21385,x21386,x21381),f567(x21383,x21384,x21385,x21386,x21382)) % 169.26/169.11 [2139]~E(x21391,x21392)+E(f348(x21391,x21393,x21394),f348(x21392,x21393,x21394)) % 169.26/169.11 [2140]~E(x21401,x21402)+E(f348(x21403,x21401,x21404),f348(x21403,x21402,x21404)) % 169.26/169.11 [2141]~E(x21411,x21412)+E(f348(x21413,x21414,x21411),f348(x21413,x21414,x21412)) % 169.26/169.11 [2142]~E(x21421,x21422)+E(f699(x21421,x21423),f699(x21422,x21423)) % 169.26/169.11 [2143]~E(x21431,x21432)+E(f699(x21433,x21431),f699(x21433,x21432)) % 169.26/169.11 [2144]~E(x21441,x21442)+E(f672(x21441,x21443,x21444),f672(x21442,x21443,x21444)) % 169.26/169.11 [2145]~E(x21451,x21452)+E(f672(x21453,x21451,x21454),f672(x21453,x21452,x21454)) % 169.26/169.11 [2146]~E(x21461,x21462)+E(f672(x21463,x21464,x21461),f672(x21463,x21464,x21462)) % 169.26/169.11 [2147]~E(x21471,x21472)+E(f363(x21471,x21473,x21474,x21475),f363(x21472,x21473,x21474,x21475)) % 169.26/169.11 [2148]~E(x21481,x21482)+E(f363(x21483,x21481,x21484,x21485),f363(x21483,x21482,x21484,x21485)) % 169.26/169.11 [2149]~E(x21491,x21492)+E(f363(x21493,x21494,x21491,x21495),f363(x21493,x21494,x21492,x21495)) % 169.26/169.11 [2150]~E(x21501,x21502)+E(f363(x21503,x21504,x21505,x21501),f363(x21503,x21504,x21505,x21502)) % 169.26/169.11 [2151]~E(x21511,x21512)+E(f524(x21511,x21513,x21514,x21515),f524(x21512,x21513,x21514,x21515)) % 169.26/169.11 [2152]~E(x21521,x21522)+E(f524(x21523,x21521,x21524,x21525),f524(x21523,x21522,x21524,x21525)) % 169.26/169.11 [2153]~E(x21531,x21532)+E(f524(x21533,x21534,x21531,x21535),f524(x21533,x21534,x21532,x21535)) % 169.26/169.11 [2154]~E(x21541,x21542)+E(f524(x21543,x21544,x21545,x21541),f524(x21543,x21544,x21545,x21542)) % 169.26/169.11 [2155]~E(x21551,x21552)+E(f774(x21551,x21553,x21554,x21555),f774(x21552,x21553,x21554,x21555)) % 169.26/169.11 [2156]~E(x21561,x21562)+E(f774(x21563,x21561,x21564,x21565),f774(x21563,x21562,x21564,x21565)) % 169.26/169.11 [2157]~E(x21571,x21572)+E(f774(x21573,x21574,x21571,x21575),f774(x21573,x21574,x21572,x21575)) % 169.26/169.11 [2158]~E(x21581,x21582)+E(f774(x21583,x21584,x21585,x21581),f774(x21583,x21584,x21585,x21582)) % 169.26/169.11 [2159]~E(x21591,x21592)+E(f644(x21591,x21593),f644(x21592,x21593)) % 169.26/169.11 [2160]~E(x21601,x21602)+E(f644(x21603,x21601),f644(x21603,x21602)) % 169.26/169.11 [2161]~E(x21611,x21612)+E(f546(x21611,x21613,x21614),f546(x21612,x21613,x21614)) % 169.26/169.11 [2162]~E(x21621,x21622)+E(f546(x21623,x21621,x21624),f546(x21623,x21622,x21624)) % 169.26/169.11 [2163]~E(x21631,x21632)+E(f546(x21633,x21634,x21631),f546(x21633,x21634,x21632)) % 169.26/169.11 [2164]~E(x21641,x21642)+E(f552(x21641,x21643,x21644),f552(x21642,x21643,x21644)) % 169.26/169.11 [2165]~E(x21651,x21652)+E(f552(x21653,x21651,x21654),f552(x21653,x21652,x21654)) % 169.26/169.11 [2166]~E(x21661,x21662)+E(f552(x21663,x21664,x21661),f552(x21663,x21664,x21662)) % 169.26/169.11 [2167]~E(x21671,x21672)+E(f840(x21671,x21673,x21674,x21675),f840(x21672,x21673,x21674,x21675)) % 169.26/169.11 [2168]~E(x21681,x21682)+E(f840(x21683,x21681,x21684,x21685),f840(x21683,x21682,x21684,x21685)) % 169.26/169.11 [2169]~E(x21691,x21692)+E(f840(x21693,x21694,x21691,x21695),f840(x21693,x21694,x21692,x21695)) % 169.26/169.11 [2170]~E(x21701,x21702)+E(f840(x21703,x21704,x21705,x21701),f840(x21703,x21704,x21705,x21702)) % 169.26/169.11 [2171]~E(x21711,x21712)+E(f666(x21711,x21713,x21714,x21715),f666(x21712,x21713,x21714,x21715)) % 169.26/169.11 [2172]~E(x21721,x21722)+E(f666(x21723,x21721,x21724,x21725),f666(x21723,x21722,x21724,x21725)) % 169.26/169.11 [2173]~E(x21731,x21732)+E(f666(x21733,x21734,x21731,x21735),f666(x21733,x21734,x21732,x21735)) % 169.26/169.11 [2174]~E(x21741,x21742)+E(f666(x21743,x21744,x21745,x21741),f666(x21743,x21744,x21745,x21742)) % 169.26/169.11 [2175]~E(x21751,x21752)+E(f741(x21751,x21753,x21754),f741(x21752,x21753,x21754)) % 169.26/169.11 [2176]~E(x21761,x21762)+E(f741(x21763,x21761,x21764),f741(x21763,x21762,x21764)) % 169.26/169.11 [2177]~E(x21771,x21772)+E(f741(x21773,x21774,x21771),f741(x21773,x21774,x21772)) % 169.37/169.11 [2178]~E(x21781,x21782)+E(f606(x21781,x21783,x21784,x21785,x21786,x21787),f606(x21782,x21783,x21784,x21785,x21786,x21787)) % 169.37/169.11 [2179]~E(x21791,x21792)+E(f606(x21793,x21791,x21794,x21795,x21796,x21797),f606(x21793,x21792,x21794,x21795,x21796,x21797)) % 169.37/169.11 [2180]~E(x21801,x21802)+E(f606(x21803,x21804,x21801,x21805,x21806,x21807),f606(x21803,x21804,x21802,x21805,x21806,x21807)) % 169.37/169.11 [2181]~E(x21811,x21812)+E(f606(x21813,x21814,x21815,x21811,x21816,x21817),f606(x21813,x21814,x21815,x21812,x21816,x21817)) % 169.37/169.11 [2182]~E(x21821,x21822)+E(f606(x21823,x21824,x21825,x21826,x21821,x21827),f606(x21823,x21824,x21825,x21826,x21822,x21827)) % 169.37/169.11 [2183]~E(x21831,x21832)+E(f606(x21833,x21834,x21835,x21836,x21837,x21831),f606(x21833,x21834,x21835,x21836,x21837,x21832)) % 169.37/169.11 [2184]~E(x21841,x21842)+E(f152(x21841,x21843),f152(x21842,x21843)) % 169.37/169.11 [2185]~E(x21851,x21852)+E(f152(x21853,x21851),f152(x21853,x21852)) % 169.37/169.11 [2186]~E(x21861,x21862)+E(f495(x21861,x21863,x21864,x21865),f495(x21862,x21863,x21864,x21865)) % 169.37/169.11 [2187]~E(x21871,x21872)+E(f495(x21873,x21871,x21874,x21875),f495(x21873,x21872,x21874,x21875)) % 169.37/169.11 [2188]~E(x21881,x21882)+E(f495(x21883,x21884,x21881,x21885),f495(x21883,x21884,x21882,x21885)) % 169.37/169.11 [2189]~E(x21891,x21892)+E(f495(x21893,x21894,x21895,x21891),f495(x21893,x21894,x21895,x21892)) % 169.37/169.11 [2190]~E(x21901,x21902)+E(f593(x21901,x21903,x21904),f593(x21902,x21903,x21904)) % 169.37/169.11 [2191]~E(x21911,x21912)+E(f593(x21913,x21911,x21914),f593(x21913,x21912,x21914)) % 169.37/169.11 [2192]~E(x21921,x21922)+E(f593(x21923,x21924,x21921),f593(x21923,x21924,x21922)) % 169.37/169.11 [2193]~E(x21931,x21932)+E(f673(x21931,x21933,x21934,x21935,x21936),f673(x21932,x21933,x21934,x21935,x21936)) % 169.37/169.11 [2194]~E(x21941,x21942)+E(f673(x21943,x21941,x21944,x21945,x21946),f673(x21943,x21942,x21944,x21945,x21946)) % 169.37/169.11 [2195]~E(x21951,x21952)+E(f673(x21953,x21954,x21951,x21955,x21956),f673(x21953,x21954,x21952,x21955,x21956)) % 169.37/169.11 [2196]~E(x21961,x21962)+E(f673(x21963,x21964,x21965,x21961,x21966),f673(x21963,x21964,x21965,x21962,x21966)) % 169.37/169.11 [2197]~E(x21971,x21972)+E(f673(x21973,x21974,x21975,x21976,x21971),f673(x21973,x21974,x21975,x21976,x21972)) % 169.37/169.11 [2198]~E(x21981,x21982)+E(f649(x21981,x21983),f649(x21982,x21983)) % 169.37/169.11 [2199]~E(x21991,x21992)+E(f649(x21993,x21991),f649(x21993,x21992)) % 169.37/169.11 [2200]~E(x22001,x22002)+E(f763(x22001,x22003),f763(x22002,x22003)) % 169.37/169.11 [2201]~E(x22011,x22012)+E(f763(x22013,x22011),f763(x22013,x22012)) % 169.37/169.11 [2202]~E(x22021,x22022)+E(f689(x22021,x22023,x22024),f689(x22022,x22023,x22024)) % 169.37/169.11 [2203]~E(x22031,x22032)+E(f689(x22033,x22031,x22034),f689(x22033,x22032,x22034)) % 169.37/169.11 [2204]~E(x22041,x22042)+E(f689(x22043,x22044,x22041),f689(x22043,x22044,x22042)) % 169.37/169.11 [2205]~E(x22051,x22052)+E(f414(x22051,x22053,x22054),f414(x22052,x22053,x22054)) % 169.37/169.11 [2206]~E(x22061,x22062)+E(f414(x22063,x22061,x22064),f414(x22063,x22062,x22064)) % 169.37/169.11 [2207]~E(x22071,x22072)+E(f414(x22073,x22074,x22071),f414(x22073,x22074,x22072)) % 169.37/169.11 [2208]~E(x22081,x22082)+E(f885(x22081,x22083,x22084),f885(x22082,x22083,x22084)) % 169.37/169.11 [2209]~E(x22091,x22092)+E(f885(x22093,x22091,x22094),f885(x22093,x22092,x22094)) % 169.37/169.11 [2210]~E(x22101,x22102)+E(f885(x22103,x22104,x22101),f885(x22103,x22104,x22102)) % 169.37/169.11 [2211]~E(x22111,x22112)+E(f600(x22111,x22113,x22114),f600(x22112,x22113,x22114)) % 169.37/169.11 [2212]~E(x22121,x22122)+E(f600(x22123,x22121,x22124),f600(x22123,x22122,x22124)) % 169.37/169.11 [2213]~E(x22131,x22132)+E(f600(x22133,x22134,x22131),f600(x22133,x22134,x22132)) % 169.37/169.11 [2214]~E(x22141,x22142)+E(f754(x22141,x22143,x22144,x22145,x22146),f754(x22142,x22143,x22144,x22145,x22146)) % 169.37/169.11 [2215]~E(x22151,x22152)+E(f754(x22153,x22151,x22154,x22155,x22156),f754(x22153,x22152,x22154,x22155,x22156)) % 169.37/169.11 [2216]~E(x22161,x22162)+E(f754(x22163,x22164,x22161,x22165,x22166),f754(x22163,x22164,x22162,x22165,x22166)) % 169.37/169.11 [2217]~E(x22171,x22172)+E(f754(x22173,x22174,x22175,x22171,x22176),f754(x22173,x22174,x22175,x22172,x22176)) % 169.37/169.11 [2218]~E(x22181,x22182)+E(f754(x22183,x22184,x22185,x22186,x22181),f754(x22183,x22184,x22185,x22186,x22182)) % 169.37/169.11 [2219]~E(x22191,x22192)+E(f627(x22191,x22193,x22194,x22195),f627(x22192,x22193,x22194,x22195)) % 169.37/169.11 [2220]~E(x22201,x22202)+E(f627(x22203,x22201,x22204,x22205),f627(x22203,x22202,x22204,x22205)) % 169.37/169.11 [2221]~E(x22211,x22212)+E(f627(x22213,x22214,x22211,x22215),f627(x22213,x22214,x22212,x22215)) % 169.37/169.11 [2222]~E(x22221,x22222)+E(f627(x22223,x22224,x22225,x22221),f627(x22223,x22224,x22225,x22222)) % 169.37/169.11 [2223]~E(x22231,x22232)+E(f214(x22231,x22233,x22234,x22235,x22236),f214(x22232,x22233,x22234,x22235,x22236)) % 169.37/169.11 [2224]~E(x22241,x22242)+E(f214(x22243,x22241,x22244,x22245,x22246),f214(x22243,x22242,x22244,x22245,x22246)) % 169.37/169.11 [2225]~E(x22251,x22252)+E(f214(x22253,x22254,x22251,x22255,x22256),f214(x22253,x22254,x22252,x22255,x22256)) % 169.37/169.11 [2226]~E(x22261,x22262)+E(f214(x22263,x22264,x22265,x22261,x22266),f214(x22263,x22264,x22265,x22262,x22266)) % 169.37/169.11 [2227]~E(x22271,x22272)+E(f214(x22273,x22274,x22275,x22276,x22271),f214(x22273,x22274,x22275,x22276,x22272)) % 169.37/169.11 [2228]~E(x22281,x22282)+E(f350(x22281,x22283,x22284,x22285,x22286),f350(x22282,x22283,x22284,x22285,x22286)) % 169.37/169.11 [2229]~E(x22291,x22292)+E(f350(x22293,x22291,x22294,x22295,x22296),f350(x22293,x22292,x22294,x22295,x22296)) % 169.37/169.11 [2230]~E(x22301,x22302)+E(f350(x22303,x22304,x22301,x22305,x22306),f350(x22303,x22304,x22302,x22305,x22306)) % 169.37/169.11 [2231]~E(x22311,x22312)+E(f350(x22313,x22314,x22315,x22311,x22316),f350(x22313,x22314,x22315,x22312,x22316)) % 169.37/169.11 [2232]~E(x22321,x22322)+E(f350(x22323,x22324,x22325,x22326,x22321),f350(x22323,x22324,x22325,x22326,x22322)) % 169.37/169.11 [2233]~E(x22331,x22332)+E(f380(x22331,x22333),f380(x22332,x22333)) % 169.37/169.11 [2234]~E(x22341,x22342)+E(f380(x22343,x22341),f380(x22343,x22342)) % 169.37/169.11 [2235]~E(x22351,x22352)+E(f561(x22351,x22353,x22354),f561(x22352,x22353,x22354)) % 169.37/169.11 [2236]~E(x22361,x22362)+E(f561(x22363,x22361,x22364),f561(x22363,x22362,x22364)) % 169.37/169.11 [2237]~E(x22371,x22372)+E(f561(x22373,x22374,x22371),f561(x22373,x22374,x22372)) % 169.37/169.11 [2238]~E(x22381,x22382)+E(f344(x22381,x22383,x22384),f344(x22382,x22383,x22384)) % 169.37/169.11 [2239]~E(x22391,x22392)+E(f344(x22393,x22391,x22394),f344(x22393,x22392,x22394)) % 169.37/169.11 [2240]~E(x22401,x22402)+E(f344(x22403,x22404,x22401),f344(x22403,x22404,x22402)) % 169.37/169.11 [2241]~E(x22411,x22412)+E(f718(x22411),f718(x22412)) % 169.37/169.11 [2242]~E(x22421,x22422)+E(f826(x22421,x22423,x22424,x22425,x22426,x22427,x22428,x22429),f826(x22422,x22423,x22424,x22425,x22426,x22427,x22428,x22429)) % 169.37/169.11 [2243]~E(x22431,x22432)+E(f826(x22433,x22431,x22434,x22435,x22436,x22437,x22438,x22439),f826(x22433,x22432,x22434,x22435,x22436,x22437,x22438,x22439)) % 169.37/169.11 [2244]~E(x22441,x22442)+E(f826(x22443,x22444,x22441,x22445,x22446,x22447,x22448,x22449),f826(x22443,x22444,x22442,x22445,x22446,x22447,x22448,x22449)) % 169.37/169.11 [2245]~E(x22451,x22452)+E(f826(x22453,x22454,x22455,x22451,x22456,x22457,x22458,x22459),f826(x22453,x22454,x22455,x22452,x22456,x22457,x22458,x22459)) % 169.37/169.11 [2246]~E(x22461,x22462)+E(f826(x22463,x22464,x22465,x22466,x22461,x22467,x22468,x22469),f826(x22463,x22464,x22465,x22466,x22462,x22467,x22468,x22469)) % 169.37/169.11 [2247]~E(x22471,x22472)+E(f826(x22473,x22474,x22475,x22476,x22477,x22471,x22478,x22479),f826(x22473,x22474,x22475,x22476,x22477,x22472,x22478,x22479)) % 169.37/169.11 [2248]~E(x22481,x22482)+E(f826(x22483,x22484,x22485,x22486,x22487,x22488,x22481,x22489),f826(x22483,x22484,x22485,x22486,x22487,x22488,x22482,x22489)) % 169.37/169.11 [2249]~E(x22491,x22492)+E(f826(x22493,x22494,x22495,x22496,x22497,x22498,x22499,x22491),f826(x22493,x22494,x22495,x22496,x22497,x22498,x22499,x22492)) % 169.37/169.11 [2250]~E(x22501,x22502)+E(f872(x22501,x22503,x22504,x22505),f872(x22502,x22503,x22504,x22505)) % 169.37/169.11 [2251]~E(x22511,x22512)+E(f872(x22513,x22511,x22514,x22515),f872(x22513,x22512,x22514,x22515)) % 169.37/169.11 [2252]~E(x22521,x22522)+E(f872(x22523,x22524,x22521,x22525),f872(x22523,x22524,x22522,x22525)) % 169.37/169.11 [2253]~E(x22531,x22532)+E(f872(x22533,x22534,x22535,x22531),f872(x22533,x22534,x22535,x22532)) % 169.37/169.11 [2254]~E(x22541,x22542)+E(f458(x22541,x22543,x22544,x22545),f458(x22542,x22543,x22544,x22545)) % 169.37/169.11 [2255]~E(x22551,x22552)+E(f458(x22553,x22551,x22554,x22555),f458(x22553,x22552,x22554,x22555)) % 169.37/169.11 [2256]~E(x22561,x22562)+E(f458(x22563,x22564,x22561,x22565),f458(x22563,x22564,x22562,x22565)) % 169.37/169.11 [2257]~E(x22571,x22572)+E(f458(x22573,x22574,x22575,x22571),f458(x22573,x22574,x22575,x22572)) % 169.37/169.11 [2258]~E(x22581,x22582)+E(f605(x22581,x22583,x22584,x22585),f605(x22582,x22583,x22584,x22585)) % 169.37/169.11 [2259]~E(x22591,x22592)+E(f605(x22593,x22591,x22594,x22595),f605(x22593,x22592,x22594,x22595)) % 169.37/169.11 [2260]~E(x22601,x22602)+E(f605(x22603,x22604,x22601,x22605),f605(x22603,x22604,x22602,x22605)) % 169.37/169.12 [2261]~E(x22611,x22612)+E(f605(x22613,x22614,x22615,x22611),f605(x22613,x22614,x22615,x22612)) % 169.37/169.12 [2262]~E(x22621,x22622)+E(f910(x22621),f910(x22622)) % 169.37/169.12 [2263]~E(x22631,x22632)+E(f578(x22631,x22633),f578(x22632,x22633)) % 169.37/169.12 [2264]~E(x22641,x22642)+E(f578(x22643,x22641),f578(x22643,x22642)) % 169.37/169.12 [2265]~E(x22651,x22652)+E(f196(x22651,x22653,x22654,x22655),f196(x22652,x22653,x22654,x22655)) % 169.37/169.12 [2266]~E(x22661,x22662)+E(f196(x22663,x22661,x22664,x22665),f196(x22663,x22662,x22664,x22665)) % 169.37/169.12 [2267]~E(x22671,x22672)+E(f196(x22673,x22674,x22671,x22675),f196(x22673,x22674,x22672,x22675)) % 169.37/169.12 [2268]~E(x22681,x22682)+E(f196(x22683,x22684,x22685,x22681),f196(x22683,x22684,x22685,x22682)) % 169.37/169.12 [2269]~E(x22691,x22692)+E(f784(x22691,x22693),f784(x22692,x22693)) % 169.37/169.12 [2270]~E(x22701,x22702)+E(f784(x22703,x22701),f784(x22703,x22702)) % 169.37/169.12 [2271]~E(x22711,x22712)+E(f364(x22711,x22713,x22714,x22715),f364(x22712,x22713,x22714,x22715)) % 169.37/169.12 [2272]~E(x22721,x22722)+E(f364(x22723,x22721,x22724,x22725),f364(x22723,x22722,x22724,x22725)) % 169.37/169.12 [2273]~E(x22731,x22732)+E(f364(x22733,x22734,x22731,x22735),f364(x22733,x22734,x22732,x22735)) % 169.37/169.12 [2274]~E(x22741,x22742)+E(f364(x22743,x22744,x22745,x22741),f364(x22743,x22744,x22745,x22742)) % 169.37/169.12 [2275]~E(x22751,x22752)+E(f864(x22751,x22753,x22754),f864(x22752,x22753,x22754)) % 169.37/169.12 [2276]~E(x22761,x22762)+E(f864(x22763,x22761,x22764),f864(x22763,x22762,x22764)) % 169.37/169.12 [2277]~E(x22771,x22772)+E(f864(x22773,x22774,x22771),f864(x22773,x22774,x22772)) % 169.37/169.12 [2278]~E(x22781,x22782)+E(f417(x22781,x22783,x22784,x22785,x22786),f417(x22782,x22783,x22784,x22785,x22786)) % 169.37/169.12 [2279]~E(x22791,x22792)+E(f417(x22793,x22791,x22794,x22795,x22796),f417(x22793,x22792,x22794,x22795,x22796)) % 169.37/169.12 [2280]~E(x22801,x22802)+E(f417(x22803,x22804,x22801,x22805,x22806),f417(x22803,x22804,x22802,x22805,x22806)) % 169.37/169.12 [2281]~E(x22811,x22812)+E(f417(x22813,x22814,x22815,x22811,x22816),f417(x22813,x22814,x22815,x22812,x22816)) % 169.37/169.12 [2282]~E(x22821,x22822)+E(f417(x22823,x22824,x22825,x22826,x22821),f417(x22823,x22824,x22825,x22826,x22822)) % 169.37/169.12 [2283]~E(x22831,x22832)+E(f623(x22831,x22833,x22834,x22835,x22836,x22837),f623(x22832,x22833,x22834,x22835,x22836,x22837)) % 169.37/169.12 [2284]~E(x22841,x22842)+E(f623(x22843,x22841,x22844,x22845,x22846,x22847),f623(x22843,x22842,x22844,x22845,x22846,x22847)) % 169.37/169.12 [2285]~E(x22851,x22852)+E(f623(x22853,x22854,x22851,x22855,x22856,x22857),f623(x22853,x22854,x22852,x22855,x22856,x22857)) % 169.37/169.12 [2286]~E(x22861,x22862)+E(f623(x22863,x22864,x22865,x22861,x22866,x22867),f623(x22863,x22864,x22865,x22862,x22866,x22867)) % 169.37/169.12 [2287]~E(x22871,x22872)+E(f623(x22873,x22874,x22875,x22876,x22871,x22877),f623(x22873,x22874,x22875,x22876,x22872,x22877)) % 169.37/169.12 [2288]~E(x22881,x22882)+E(f623(x22883,x22884,x22885,x22886,x22887,x22881),f623(x22883,x22884,x22885,x22886,x22887,x22882)) % 169.37/169.12 [2289]~E(x22891,x22892)+E(f599(x22891,x22893,x22894),f599(x22892,x22893,x22894)) % 169.37/169.12 [2290]~E(x22901,x22902)+E(f599(x22903,x22901,x22904),f599(x22903,x22902,x22904)) % 169.37/169.12 [2291]~E(x22911,x22912)+E(f599(x22913,x22914,x22911),f599(x22913,x22914,x22912)) % 169.37/169.12 [2292]~E(x22921,x22922)+E(f356(x22921,x22923,x22924,x22925),f356(x22922,x22923,x22924,x22925)) % 169.37/169.12 [2293]~E(x22931,x22932)+E(f356(x22933,x22931,x22934,x22935),f356(x22933,x22932,x22934,x22935)) % 169.37/169.12 [2294]~E(x22941,x22942)+E(f356(x22943,x22944,x22941,x22945),f356(x22943,x22944,x22942,x22945)) % 169.37/169.12 [2295]~E(x22951,x22952)+E(f356(x22953,x22954,x22955,x22951),f356(x22953,x22954,x22955,x22952)) % 169.37/169.12 [2296]~E(x22961,x22962)+E(f601(x22961,x22963,x22964),f601(x22962,x22963,x22964)) % 169.37/169.12 [2297]~E(x22971,x22972)+E(f601(x22973,x22971,x22974),f601(x22973,x22972,x22974)) % 169.37/169.12 [2298]~E(x22981,x22982)+E(f601(x22983,x22984,x22981),f601(x22983,x22984,x22982)) % 169.37/169.12 [2299]~E(x22991,x22992)+E(f541(x22991,x22993,x22994),f541(x22992,x22993,x22994)) % 169.37/169.12 [2300]~E(x23001,x23002)+E(f541(x23003,x23001,x23004),f541(x23003,x23002,x23004)) % 169.37/169.12 [2301]~E(x23011,x23012)+E(f541(x23013,x23014,x23011),f541(x23013,x23014,x23012)) % 169.37/169.12 [2302]~E(x23021,x23022)+E(f334(x23021,x23023),f334(x23022,x23023)) % 169.37/169.12 [2303]~E(x23031,x23032)+E(f334(x23033,x23031),f334(x23033,x23032)) % 169.37/169.12 [2304]~E(x23041,x23042)+E(f747(x23041),f747(x23042)) % 169.37/169.12 [2305]~E(x23051,x23052)+E(f371(x23051,x23053,x23054),f371(x23052,x23053,x23054)) % 169.37/169.12 [2306]~E(x23061,x23062)+E(f371(x23063,x23061,x23064),f371(x23063,x23062,x23064)) % 169.37/169.12 [2307]~E(x23071,x23072)+E(f371(x23073,x23074,x23071),f371(x23073,x23074,x23072)) % 169.37/169.12 [2308]~E(x23081,x23082)+E(f752(x23081,x23083,x23084),f752(x23082,x23083,x23084)) % 169.37/169.12 [2309]~E(x23091,x23092)+E(f752(x23093,x23091,x23094),f752(x23093,x23092,x23094)) % 169.37/169.12 [2310]~E(x23101,x23102)+E(f752(x23103,x23104,x23101),f752(x23103,x23104,x23102)) % 169.37/169.12 [2311]~E(x23111,x23112)+E(f476(x23111,x23113,x23114,x23115,x23116,x23117),f476(x23112,x23113,x23114,x23115,x23116,x23117)) % 169.37/169.12 [2312]~E(x23121,x23122)+E(f476(x23123,x23121,x23124,x23125,x23126,x23127),f476(x23123,x23122,x23124,x23125,x23126,x23127)) % 169.37/169.12 [2313]~E(x23131,x23132)+E(f476(x23133,x23134,x23131,x23135,x23136,x23137),f476(x23133,x23134,x23132,x23135,x23136,x23137)) % 169.37/169.12 [2314]~E(x23141,x23142)+E(f476(x23143,x23144,x23145,x23141,x23146,x23147),f476(x23143,x23144,x23145,x23142,x23146,x23147)) % 169.37/169.12 [2315]~E(x23151,x23152)+E(f476(x23153,x23154,x23155,x23156,x23151,x23157),f476(x23153,x23154,x23155,x23156,x23152,x23157)) % 169.37/169.12 [2316]~E(x23161,x23162)+E(f476(x23163,x23164,x23165,x23166,x23167,x23161),f476(x23163,x23164,x23165,x23166,x23167,x23162)) % 169.37/169.12 [2317]~E(x23171,x23172)+E(f465(x23171,x23173,x23174,x23175),f465(x23172,x23173,x23174,x23175)) % 169.37/169.12 [2318]~E(x23181,x23182)+E(f465(x23183,x23181,x23184,x23185),f465(x23183,x23182,x23184,x23185)) % 169.37/169.12 [2319]~E(x23191,x23192)+E(f465(x23193,x23194,x23191,x23195),f465(x23193,x23194,x23192,x23195)) % 169.37/169.12 [2320]~E(x23201,x23202)+E(f465(x23203,x23204,x23205,x23201),f465(x23203,x23204,x23205,x23202)) % 169.37/169.12 [2321]~E(x23211,x23212)+E(f266(x23211,x23213,x23214,x23215),f266(x23212,x23213,x23214,x23215)) % 169.37/169.12 [2322]~E(x23221,x23222)+E(f266(x23223,x23221,x23224,x23225),f266(x23223,x23222,x23224,x23225)) % 169.37/169.12 [2323]~E(x23231,x23232)+E(f266(x23233,x23234,x23231,x23235),f266(x23233,x23234,x23232,x23235)) % 169.37/169.12 [2324]~E(x23241,x23242)+E(f266(x23243,x23244,x23245,x23241),f266(x23243,x23244,x23245,x23242)) % 169.37/169.12 [2325]~E(x23251,x23252)+E(f614(x23251,x23253,x23254),f614(x23252,x23253,x23254)) % 169.37/169.12 [2326]~E(x23261,x23262)+E(f614(x23263,x23261,x23264),f614(x23263,x23262,x23264)) % 169.37/169.12 [2327]~E(x23271,x23272)+E(f614(x23273,x23274,x23271),f614(x23273,x23274,x23272)) % 169.37/169.12 [2328]~E(x23281,x23282)+E(f221(x23281,x23283,x23284,x23285),f221(x23282,x23283,x23284,x23285)) % 169.37/169.12 [2329]~E(x23291,x23292)+E(f221(x23293,x23291,x23294,x23295),f221(x23293,x23292,x23294,x23295)) % 169.37/169.12 [2330]~E(x23301,x23302)+E(f221(x23303,x23304,x23301,x23305),f221(x23303,x23304,x23302,x23305)) % 169.37/169.12 [2331]~E(x23311,x23312)+E(f221(x23313,x23314,x23315,x23311),f221(x23313,x23314,x23315,x23312)) % 169.37/169.12 [2332]~E(x23321,x23322)+E(f432(x23321,x23323,x23324,x23325),f432(x23322,x23323,x23324,x23325)) % 169.37/169.12 [2333]~E(x23331,x23332)+E(f432(x23333,x23331,x23334,x23335),f432(x23333,x23332,x23334,x23335)) % 169.37/169.12 [2334]~E(x23341,x23342)+E(f432(x23343,x23344,x23341,x23345),f432(x23343,x23344,x23342,x23345)) % 169.37/169.12 [2335]~E(x23351,x23352)+E(f432(x23353,x23354,x23355,x23351),f432(x23353,x23354,x23355,x23352)) % 169.37/169.12 [2336]~E(x23361,x23362)+E(f533(x23361,x23363,x23364),f533(x23362,x23363,x23364)) % 169.37/169.12 [2337]~E(x23371,x23372)+E(f533(x23373,x23371,x23374),f533(x23373,x23372,x23374)) % 169.37/169.12 [2338]~E(x23381,x23382)+E(f533(x23383,x23384,x23381),f533(x23383,x23384,x23382)) % 169.37/169.12 [2339]~E(x23391,x23392)+E(f857(x23391,x23393,x23394),f857(x23392,x23393,x23394)) % 169.37/169.12 [2340]~E(x23401,x23402)+E(f857(x23403,x23401,x23404),f857(x23403,x23402,x23404)) % 169.37/169.12 [2341]~E(x23411,x23412)+E(f857(x23413,x23414,x23411),f857(x23413,x23414,x23412)) % 169.37/169.12 [2342]~E(x23421,x23422)+E(f771(x23421,x23423),f771(x23422,x23423)) % 169.37/169.12 [2343]~E(x23431,x23432)+E(f771(x23433,x23431),f771(x23433,x23432)) % 169.37/169.12 [2344]~E(x23441,x23442)+E(f330(x23441,x23443,x23444,x23445),f330(x23442,x23443,x23444,x23445)) % 169.37/169.12 [2345]~E(x23451,x23452)+E(f330(x23453,x23451,x23454,x23455),f330(x23453,x23452,x23454,x23455)) % 169.37/169.12 [2346]~E(x23461,x23462)+E(f330(x23463,x23464,x23461,x23465),f330(x23463,x23464,x23462,x23465)) % 169.37/169.12 [2347]~E(x23471,x23472)+E(f330(x23473,x23474,x23475,x23471),f330(x23473,x23474,x23475,x23472)) % 169.37/169.12 [2348]~E(x23481,x23482)+E(f419(x23481,x23483,x23484,x23485,x23486),f419(x23482,x23483,x23484,x23485,x23486)) % 169.37/169.12 [2349]~E(x23491,x23492)+E(f419(x23493,x23491,x23494,x23495,x23496),f419(x23493,x23492,x23494,x23495,x23496)) % 169.37/169.12 [2350]~E(x23501,x23502)+E(f419(x23503,x23504,x23501,x23505,x23506),f419(x23503,x23504,x23502,x23505,x23506)) % 169.37/169.12 [2351]~E(x23511,x23512)+E(f419(x23513,x23514,x23515,x23511,x23516),f419(x23513,x23514,x23515,x23512,x23516)) % 169.37/169.12 [2352]~E(x23521,x23522)+E(f419(x23523,x23524,x23525,x23526,x23521),f419(x23523,x23524,x23525,x23526,x23522)) % 169.37/169.12 [2353]~E(x23531,x23532)+E(f406(x23531,x23533,x23534,x23535,x23536),f406(x23532,x23533,x23534,x23535,x23536)) % 169.37/169.12 [2354]~E(x23541,x23542)+E(f406(x23543,x23541,x23544,x23545,x23546),f406(x23543,x23542,x23544,x23545,x23546)) % 169.37/169.12 [2355]~E(x23551,x23552)+E(f406(x23553,x23554,x23551,x23555,x23556),f406(x23553,x23554,x23552,x23555,x23556)) % 169.37/169.12 [2356]~E(x23561,x23562)+E(f406(x23563,x23564,x23565,x23561,x23566),f406(x23563,x23564,x23565,x23562,x23566)) % 169.37/169.12 [2357]~E(x23571,x23572)+E(f406(x23573,x23574,x23575,x23576,x23571),f406(x23573,x23574,x23575,x23576,x23572)) % 169.37/169.12 [2358]~E(x23581,x23582)+E(f797(x23581,x23583),f797(x23582,x23583)) % 169.37/169.12 [2359]~E(x23591,x23592)+E(f797(x23593,x23591),f797(x23593,x23592)) % 169.37/169.12 [2360]~E(x23601,x23602)+E(f681(x23601,x23603),f681(x23602,x23603)) % 169.37/169.12 [2361]~E(x23611,x23612)+E(f681(x23613,x23611),f681(x23613,x23612)) % 169.37/169.12 [2362]~E(x23621,x23622)+E(f389(x23621,x23623,x23624,x23625),f389(x23622,x23623,x23624,x23625)) % 169.37/169.12 [2363]~E(x23631,x23632)+E(f389(x23633,x23631,x23634,x23635),f389(x23633,x23632,x23634,x23635)) % 169.37/169.12 [2364]~E(x23641,x23642)+E(f389(x23643,x23644,x23641,x23645),f389(x23643,x23644,x23642,x23645)) % 169.37/169.12 [2365]~E(x23651,x23652)+E(f389(x23653,x23654,x23655,x23651),f389(x23653,x23654,x23655,x23652)) % 169.37/169.12 [2366]~E(x23661,x23662)+E(f652(x23661,x23663,x23664),f652(x23662,x23663,x23664)) % 169.37/169.12 [2367]~E(x23671,x23672)+E(f652(x23673,x23671,x23674),f652(x23673,x23672,x23674)) % 169.37/169.12 [2368]~E(x23681,x23682)+E(f652(x23683,x23684,x23681),f652(x23683,x23684,x23682)) % 169.37/169.12 [2369]~E(x23691,x23692)+E(f523(x23691,x23693,x23694),f523(x23692,x23693,x23694)) % 169.37/169.12 [2370]~E(x23701,x23702)+E(f523(x23703,x23701,x23704),f523(x23703,x23702,x23704)) % 169.37/169.12 [2371]~E(x23711,x23712)+E(f523(x23713,x23714,x23711),f523(x23713,x23714,x23712)) % 169.37/169.12 [2372]~E(x23721,x23722)+E(f198(x23721),f198(x23722)) % 169.37/169.12 [2373]~E(x23731,x23732)+E(f724(x23731,x23733),f724(x23732,x23733)) % 169.37/169.12 [2374]~E(x23741,x23742)+E(f724(x23743,x23741),f724(x23743,x23742)) % 169.37/169.12 [2375]~E(x23751,x23752)+E(f444(x23751,x23753,x23754,x23755),f444(x23752,x23753,x23754,x23755)) % 169.37/169.12 [2376]~E(x23761,x23762)+E(f444(x23763,x23761,x23764,x23765),f444(x23763,x23762,x23764,x23765)) % 169.37/169.12 [2377]~E(x23771,x23772)+E(f444(x23773,x23774,x23771,x23775),f444(x23773,x23774,x23772,x23775)) % 169.37/169.12 [2378]~E(x23781,x23782)+E(f444(x23783,x23784,x23785,x23781),f444(x23783,x23784,x23785,x23782)) % 169.37/169.12 [2379]~E(x23791,x23792)+E(f426(x23791,x23793,x23794,x23795,x23796),f426(x23792,x23793,x23794,x23795,x23796)) % 169.37/169.12 [2380]~E(x23801,x23802)+E(f426(x23803,x23801,x23804,x23805,x23806),f426(x23803,x23802,x23804,x23805,x23806)) % 169.37/169.12 [2381]~E(x23811,x23812)+E(f426(x23813,x23814,x23811,x23815,x23816),f426(x23813,x23814,x23812,x23815,x23816)) % 169.37/169.12 [2382]~E(x23821,x23822)+E(f426(x23823,x23824,x23825,x23821,x23826),f426(x23823,x23824,x23825,x23822,x23826)) % 169.37/169.12 [2383]~E(x23831,x23832)+E(f426(x23833,x23834,x23835,x23836,x23831),f426(x23833,x23834,x23835,x23836,x23832)) % 169.37/169.12 [2384]~E(x23841,x23842)+E(f255(x23841,x23843,x23844),f255(x23842,x23843,x23844)) % 169.37/169.12 [2385]~E(x23851,x23852)+E(f255(x23853,x23851,x23854),f255(x23853,x23852,x23854)) % 169.37/169.12 [2386]~E(x23861,x23862)+E(f255(x23863,x23864,x23861),f255(x23863,x23864,x23862)) % 169.37/169.12 [2387]~E(x23871,x23872)+E(f311(x23871,x23873,x23874),f311(x23872,x23873,x23874)) % 169.37/169.12 [2388]~E(x23881,x23882)+E(f311(x23883,x23881,x23884),f311(x23883,x23882,x23884)) % 169.37/169.12 [2389]~E(x23891,x23892)+E(f311(x23893,x23894,x23891),f311(x23893,x23894,x23892)) % 169.37/169.12 [2390]~E(x23901,x23902)+E(f740(x23901,x23903,x23904),f740(x23902,x23903,x23904)) % 169.37/169.12 [2391]~E(x23911,x23912)+E(f740(x23913,x23911,x23914),f740(x23913,x23912,x23914)) % 169.37/169.12 [2392]~E(x23921,x23922)+E(f740(x23923,x23924,x23921),f740(x23923,x23924,x23922)) % 169.37/169.12 [2393]~E(x23931,x23932)+E(f870(x23931,x23933),f870(x23932,x23933)) % 169.37/169.12 [2394]~E(x23941,x23942)+E(f870(x23943,x23941),f870(x23943,x23942)) % 169.37/169.12 [2395]~E(x23951,x23952)+E(f355(x23951,x23953),f355(x23952,x23953)) % 169.37/169.12 [2396]~E(x23961,x23962)+E(f355(x23963,x23961),f355(x23963,x23962)) % 169.37/169.12 [2397]~E(x23971,x23972)+E(f112(x23971,x23973,x23974,x23975),f112(x23972,x23973,x23974,x23975)) % 169.37/169.12 [2398]~E(x23981,x23982)+E(f112(x23983,x23981,x23984,x23985),f112(x23983,x23982,x23984,x23985)) % 169.37/169.12 [2399]~E(x23991,x23992)+E(f112(x23993,x23994,x23991,x23995),f112(x23993,x23994,x23992,x23995)) % 169.37/169.12 [2400]~E(x24001,x24002)+E(f112(x24003,x24004,x24005,x24001),f112(x24003,x24004,x24005,x24002)) % 169.37/169.12 [2401]~E(x24011,x24012)+E(f483(x24011,x24013,x24014,x24015,x24016,x24017,x24018,x24019),f483(x24012,x24013,x24014,x24015,x24016,x24017,x24018,x24019)) % 169.37/169.12 [2402]~E(x24021,x24022)+E(f483(x24023,x24021,x24024,x24025,x24026,x24027,x24028,x24029),f483(x24023,x24022,x24024,x24025,x24026,x24027,x24028,x24029)) % 169.37/169.12 [2403]~E(x24031,x24032)+E(f483(x24033,x24034,x24031,x24035,x24036,x24037,x24038,x24039),f483(x24033,x24034,x24032,x24035,x24036,x24037,x24038,x24039)) % 169.37/169.12 [2404]~E(x24041,x24042)+E(f483(x24043,x24044,x24045,x24041,x24046,x24047,x24048,x24049),f483(x24043,x24044,x24045,x24042,x24046,x24047,x24048,x24049)) % 169.37/169.12 [2405]~E(x24051,x24052)+E(f483(x24053,x24054,x24055,x24056,x24051,x24057,x24058,x24059),f483(x24053,x24054,x24055,x24056,x24052,x24057,x24058,x24059)) % 169.37/169.12 [2406]~E(x24061,x24062)+E(f483(x24063,x24064,x24065,x24066,x24067,x24061,x24068,x24069),f483(x24063,x24064,x24065,x24066,x24067,x24062,x24068,x24069)) % 169.37/169.12 [2407]~E(x24071,x24072)+E(f483(x24073,x24074,x24075,x24076,x24077,x24078,x24071,x24079),f483(x24073,x24074,x24075,x24076,x24077,x24078,x24072,x24079)) % 169.37/169.12 [2408]~E(x24081,x24082)+E(f483(x24083,x24084,x24085,x24086,x24087,x24088,x24089,x24081),f483(x24083,x24084,x24085,x24086,x24087,x24088,x24089,x24082)) % 169.37/169.12 [2409]~E(x24091,x24092)+E(f749(x24091,x24093,x24094,x24095),f749(x24092,x24093,x24094,x24095)) % 169.37/169.12 [2410]~E(x24101,x24102)+E(f749(x24103,x24101,x24104,x24105),f749(x24103,x24102,x24104,x24105)) % 169.37/169.12 [2411]~E(x24111,x24112)+E(f749(x24113,x24114,x24111,x24115),f749(x24113,x24114,x24112,x24115)) % 169.37/169.12 [2412]~E(x24121,x24122)+E(f749(x24123,x24124,x24125,x24121),f749(x24123,x24124,x24125,x24122)) % 169.37/169.12 [2413]~E(x24131,x24132)+E(f219(x24131,x24133,x24134,x24135),f219(x24132,x24133,x24134,x24135)) % 169.37/169.12 [2414]~E(x24141,x24142)+E(f219(x24143,x24141,x24144,x24145),f219(x24143,x24142,x24144,x24145)) % 169.37/169.12 [2415]~E(x24151,x24152)+E(f219(x24153,x24154,x24151,x24155),f219(x24153,x24154,x24152,x24155)) % 169.37/169.12 [2416]~E(x24161,x24162)+E(f219(x24163,x24164,x24165,x24161),f219(x24163,x24164,x24165,x24162)) % 169.37/169.12 [2417]~E(x24171,x24172)+E(f39(x24171),f39(x24172)) % 169.37/169.12 [2418]~E(x24181,x24182)+E(f782(x24181,x24183),f782(x24182,x24183)) % 169.37/169.12 [2419]~E(x24191,x24192)+E(f782(x24193,x24191),f782(x24193,x24192)) % 169.37/169.12 [2420]~E(x24201,x24202)+E(f584(x24201,x24203,x24204,x24205),f584(x24202,x24203,x24204,x24205)) % 169.37/169.12 [2421]~E(x24211,x24212)+E(f584(x24213,x24211,x24214,x24215),f584(x24213,x24212,x24214,x24215)) % 169.37/169.12 [2422]~E(x24221,x24222)+E(f584(x24223,x24224,x24221,x24225),f584(x24223,x24224,x24222,x24225)) % 169.37/169.12 [2423]~E(x24231,x24232)+E(f584(x24233,x24234,x24235,x24231),f584(x24233,x24234,x24235,x24232)) % 169.37/169.12 [2424]~E(x24241,x24242)+E(f572(x24241,x24243,x24244,x24245,x24246),f572(x24242,x24243,x24244,x24245,x24246)) % 169.37/169.12 [2425]~E(x24251,x24252)+E(f572(x24253,x24251,x24254,x24255,x24256),f572(x24253,x24252,x24254,x24255,x24256)) % 169.37/169.12 [2426]~E(x24261,x24262)+E(f572(x24263,x24264,x24261,x24265,x24266),f572(x24263,x24264,x24262,x24265,x24266)) % 169.37/169.12 [2427]~E(x24271,x24272)+E(f572(x24273,x24274,x24275,x24271,x24276),f572(x24273,x24274,x24275,x24272,x24276)) % 169.37/169.12 [2428]~E(x24281,x24282)+E(f572(x24283,x24284,x24285,x24286,x24281),f572(x24283,x24284,x24285,x24286,x24282)) % 169.37/169.12 [2429]~E(x24291,x24292)+E(f500(x24291,x24293,x24294,x24295),f500(x24292,x24293,x24294,x24295)) % 169.37/169.12 [2430]~E(x24301,x24302)+E(f500(x24303,x24301,x24304,x24305),f500(x24303,x24302,x24304,x24305)) % 169.37/169.12 [2431]~E(x24311,x24312)+E(f500(x24313,x24314,x24311,x24315),f500(x24313,x24314,x24312,x24315)) % 169.37/169.12 [2432]~E(x24321,x24322)+E(f500(x24323,x24324,x24325,x24321),f500(x24323,x24324,x24325,x24322)) % 169.37/169.12 [2433]~E(x24331,x24332)+E(f201(x24331,x24333,x24334,x24335,x24336,x24337,x24338),f201(x24332,x24333,x24334,x24335,x24336,x24337,x24338)) % 169.37/169.12 [2434]~E(x24341,x24342)+E(f201(x24343,x24341,x24344,x24345,x24346,x24347,x24348),f201(x24343,x24342,x24344,x24345,x24346,x24347,x24348)) % 169.37/169.12 [2435]~E(x24351,x24352)+E(f201(x24353,x24354,x24351,x24355,x24356,x24357,x24358),f201(x24353,x24354,x24352,x24355,x24356,x24357,x24358)) % 169.37/169.12 [2436]~E(x24361,x24362)+E(f201(x24363,x24364,x24365,x24361,x24366,x24367,x24368),f201(x24363,x24364,x24365,x24362,x24366,x24367,x24368)) % 169.37/169.12 [2437]~E(x24371,x24372)+E(f201(x24373,x24374,x24375,x24376,x24371,x24377,x24378),f201(x24373,x24374,x24375,x24376,x24372,x24377,x24378)) % 169.37/169.12 [2438]~E(x24381,x24382)+E(f201(x24383,x24384,x24385,x24386,x24387,x24381,x24388),f201(x24383,x24384,x24385,x24386,x24387,x24382,x24388)) % 169.37/169.12 [2439]~E(x24391,x24392)+E(f201(x24393,x24394,x24395,x24396,x24397,x24398,x24391),f201(x24393,x24394,x24395,x24396,x24397,x24398,x24392)) % 169.37/169.12 [2440]~E(x24401,x24402)+E(f877(x24401,x24403),f877(x24402,x24403)) % 169.37/169.12 [2441]~E(x24411,x24412)+E(f877(x24413,x24411),f877(x24413,x24412)) % 169.37/169.12 [2442]~E(x24421,x24422)+E(f436(x24421,x24423,x24424,x24425),f436(x24422,x24423,x24424,x24425)) % 169.37/169.12 [2443]~E(x24431,x24432)+E(f436(x24433,x24431,x24434,x24435),f436(x24433,x24432,x24434,x24435)) % 169.37/169.12 [2444]~E(x24441,x24442)+E(f436(x24443,x24444,x24441,x24445),f436(x24443,x24444,x24442,x24445)) % 169.37/169.12 [2445]~E(x24451,x24452)+E(f436(x24453,x24454,x24455,x24451),f436(x24453,x24454,x24455,x24452)) % 169.37/169.12 [2446]~E(x24461,x24462)+E(f226(x24461,x24463),f226(x24462,x24463)) % 169.37/169.12 [2447]~E(x24471,x24472)+E(f226(x24473,x24471),f226(x24473,x24472)) % 169.37/169.12 [2448]~E(x24481,x24482)+E(f558(x24481,x24483,x24484),f558(x24482,x24483,x24484)) % 169.37/169.12 [2449]~E(x24491,x24492)+E(f558(x24493,x24491,x24494),f558(x24493,x24492,x24494)) % 169.37/169.12 [2450]~E(x24501,x24502)+E(f558(x24503,x24504,x24501),f558(x24503,x24504,x24502)) % 169.37/169.12 [2451]~E(x24511,x24512)+E(f490(x24511),f490(x24512)) % 169.37/169.12 [2452]~E(x24521,x24522)+E(f503(x24521,x24523),f503(x24522,x24523)) % 169.37/169.12 [2453]~E(x24531,x24532)+E(f503(x24533,x24531),f503(x24533,x24532)) % 169.37/169.12 [2454]~E(x24541,x24542)+E(f787(x24541,x24543,x24544,x24545),f787(x24542,x24543,x24544,x24545)) % 169.37/169.12 [2455]~E(x24551,x24552)+E(f787(x24553,x24551,x24554,x24555),f787(x24553,x24552,x24554,x24555)) % 169.37/169.12 [2456]~E(x24561,x24562)+E(f787(x24563,x24564,x24561,x24565),f787(x24563,x24564,x24562,x24565)) % 169.37/169.12 [2457]~E(x24571,x24572)+E(f787(x24573,x24574,x24575,x24571),f787(x24573,x24574,x24575,x24572)) % 169.37/169.12 [2458]~E(x24581,x24582)+E(f607(x24581,x24583,x24584,x24585,x24586,x24587,x24588),f607(x24582,x24583,x24584,x24585,x24586,x24587,x24588)) % 169.37/169.12 [2459]~E(x24591,x24592)+E(f607(x24593,x24591,x24594,x24595,x24596,x24597,x24598),f607(x24593,x24592,x24594,x24595,x24596,x24597,x24598)) % 169.37/169.12 [2460]~E(x24601,x24602)+E(f607(x24603,x24604,x24601,x24605,x24606,x24607,x24608),f607(x24603,x24604,x24602,x24605,x24606,x24607,x24608)) % 169.37/169.12 [2461]~E(x24611,x24612)+E(f607(x24613,x24614,x24615,x24611,x24616,x24617,x24618),f607(x24613,x24614,x24615,x24612,x24616,x24617,x24618)) % 169.37/169.12 [2462]~E(x24621,x24622)+E(f607(x24623,x24624,x24625,x24626,x24621,x24627,x24628),f607(x24623,x24624,x24625,x24626,x24622,x24627,x24628)) % 169.37/169.12 [2463]~E(x24631,x24632)+E(f607(x24633,x24634,x24635,x24636,x24637,x24631,x24638),f607(x24633,x24634,x24635,x24636,x24637,x24632,x24638)) % 169.37/169.12 [2464]~E(x24641,x24642)+E(f607(x24643,x24644,x24645,x24646,x24647,x24648,x24641),f607(x24643,x24644,x24645,x24646,x24647,x24648,x24642)) % 169.37/169.12 [2465]~E(x24651,x24652)+E(f739(x24651,x24653,x24654),f739(x24652,x24653,x24654)) % 169.37/169.12 [2466]~E(x24661,x24662)+E(f739(x24663,x24661,x24664),f739(x24663,x24662,x24664)) % 169.37/169.12 [2467]~E(x24671,x24672)+E(f739(x24673,x24674,x24671),f739(x24673,x24674,x24672)) % 169.37/169.12 [2468]~E(x24681,x24682)+E(f485(x24681,x24683),f485(x24682,x24683)) % 169.37/169.12 [2469]~E(x24691,x24692)+E(f485(x24693,x24691),f485(x24693,x24692)) % 169.37/169.12 [2470]~E(x24701,x24702)+E(f497(x24701,x24703,x24704,x24705,x24706,x24707),f497(x24702,x24703,x24704,x24705,x24706,x24707)) % 169.37/169.12 [2471]~E(x24711,x24712)+E(f497(x24713,x24711,x24714,x24715,x24716,x24717),f497(x24713,x24712,x24714,x24715,x24716,x24717)) % 169.37/169.12 [2472]~E(x24721,x24722)+E(f497(x24723,x24724,x24721,x24725,x24726,x24727),f497(x24723,x24724,x24722,x24725,x24726,x24727)) % 169.37/169.12 [2473]~E(x24731,x24732)+E(f497(x24733,x24734,x24735,x24731,x24736,x24737),f497(x24733,x24734,x24735,x24732,x24736,x24737)) % 169.37/169.12 [2474]~E(x24741,x24742)+E(f497(x24743,x24744,x24745,x24746,x24741,x24747),f497(x24743,x24744,x24745,x24746,x24742,x24747)) % 169.37/169.12 [2475]~E(x24751,x24752)+E(f497(x24753,x24754,x24755,x24756,x24757,x24751),f497(x24753,x24754,x24755,x24756,x24757,x24752)) % 169.37/169.12 [2476]~E(x24761,x24762)+E(f504(x24761,x24763),f504(x24762,x24763)) % 169.37/169.12 [2477]~E(x24771,x24772)+E(f504(x24773,x24771),f504(x24773,x24772)) % 169.37/169.12 [2478]~E(x24781,x24782)+E(f692(x24781,x24783,x24784),f692(x24782,x24783,x24784)) % 169.37/169.12 [2479]~E(x24791,x24792)+E(f692(x24793,x24791,x24794),f692(x24793,x24792,x24794)) % 169.37/169.12 [2480]~E(x24801,x24802)+E(f692(x24803,x24804,x24801),f692(x24803,x24804,x24802)) % 169.37/169.12 [2481]~E(x24811,x24812)+E(f639(x24811,x24813,x24814),f639(x24812,x24813,x24814)) % 169.37/169.12 [2482]~E(x24821,x24822)+E(f639(x24823,x24821,x24824),f639(x24823,x24822,x24824)) % 169.37/169.12 [2483]~E(x24831,x24832)+E(f639(x24833,x24834,x24831),f639(x24833,x24834,x24832)) % 169.37/169.12 [2484]~E(x24841,x24842)+E(f801(x24841,x24843,x24844),f801(x24842,x24843,x24844)) % 169.37/169.12 [2485]~E(x24851,x24852)+E(f801(x24853,x24851,x24854),f801(x24853,x24852,x24854)) % 169.37/169.12 [2486]~E(x24861,x24862)+E(f801(x24863,x24864,x24861),f801(x24863,x24864,x24862)) % 169.37/169.12 [2487]~E(x24871,x24872)+E(f808(x24871,x24873,x24874),f808(x24872,x24873,x24874)) % 169.37/169.12 [2488]~E(x24881,x24882)+E(f808(x24883,x24881,x24884),f808(x24883,x24882,x24884)) % 169.37/169.12 [2489]~E(x24891,x24892)+E(f808(x24893,x24894,x24891),f808(x24893,x24894,x24892)) % 169.37/169.12 [2490]~E(x24901,x24902)+E(f425(x24901,x24903,x24904),f425(x24902,x24903,x24904)) % 169.37/169.12 [2491]~E(x24911,x24912)+E(f425(x24913,x24911,x24914),f425(x24913,x24912,x24914)) % 169.37/169.12 [2492]~E(x24921,x24922)+E(f425(x24923,x24924,x24921),f425(x24923,x24924,x24922)) % 169.37/169.12 [2493]~E(x24931,x24932)+E(f267(x24931,x24933,x24934,x24935),f267(x24932,x24933,x24934,x24935)) % 169.37/169.12 [2494]~E(x24941,x24942)+E(f267(x24943,x24941,x24944,x24945),f267(x24943,x24942,x24944,x24945)) % 169.37/169.12 [2495]~E(x24951,x24952)+E(f267(x24953,x24954,x24951,x24955),f267(x24953,x24954,x24952,x24955)) % 169.37/169.12 [2496]~E(x24961,x24962)+E(f267(x24963,x24964,x24965,x24961),f267(x24963,x24964,x24965,x24962)) % 169.37/169.12 [2497]~E(x24971,x24972)+E(f339(x24971,x24973,x24974),f339(x24972,x24973,x24974)) % 169.37/169.12 [2498]~E(x24981,x24982)+E(f339(x24983,x24981,x24984),f339(x24983,x24982,x24984)) % 169.37/169.12 [2499]~E(x24991,x24992)+E(f339(x24993,x24994,x24991),f339(x24993,x24994,x24992)) % 169.37/169.12 [2500]~E(x25001,x25002)+E(f415(x25001,x25003),f415(x25002,x25003)) % 169.37/169.12 [2501]~E(x25011,x25012)+E(f415(x25013,x25011),f415(x25013,x25012)) % 169.37/169.12 [2502]~E(x25021,x25022)+E(f634(x25021,x25023,x25024,x25025,x25026),f634(x25022,x25023,x25024,x25025,x25026)) % 169.37/169.12 [2503]~E(x25031,x25032)+E(f634(x25033,x25031,x25034,x25035,x25036),f634(x25033,x25032,x25034,x25035,x25036)) % 169.37/169.12 [2504]~E(x25041,x25042)+E(f634(x25043,x25044,x25041,x25045,x25046),f634(x25043,x25044,x25042,x25045,x25046)) % 169.37/169.12 [2505]~E(x25051,x25052)+E(f634(x25053,x25054,x25055,x25051,x25056),f634(x25053,x25054,x25055,x25052,x25056)) % 169.37/169.12 [2506]~E(x25061,x25062)+E(f634(x25063,x25064,x25065,x25066,x25061),f634(x25063,x25064,x25065,x25066,x25062)) % 169.37/169.12 [2507]~E(x25071,x25072)+E(f587(x25071,x25073,x25074,x25075,x25076,x25077,x25078),f587(x25072,x25073,x25074,x25075,x25076,x25077,x25078)) % 169.37/169.12 [2508]~E(x25081,x25082)+E(f587(x25083,x25081,x25084,x25085,x25086,x25087,x25088),f587(x25083,x25082,x25084,x25085,x25086,x25087,x25088)) % 169.37/169.12 [2509]~E(x25091,x25092)+E(f587(x25093,x25094,x25091,x25095,x25096,x25097,x25098),f587(x25093,x25094,x25092,x25095,x25096,x25097,x25098)) % 169.37/169.12 [2510]~E(x25101,x25102)+E(f587(x25103,x25104,x25105,x25101,x25106,x25107,x25108),f587(x25103,x25104,x25105,x25102,x25106,x25107,x25108)) % 169.37/169.12 [2511]~E(x25111,x25112)+E(f587(x25113,x25114,x25115,x25116,x25111,x25117,x25118),f587(x25113,x25114,x25115,x25116,x25112,x25117,x25118)) % 169.37/169.12 [2512]~E(x25121,x25122)+E(f587(x25123,x25124,x25125,x25126,x25127,x25121,x25128),f587(x25123,x25124,x25125,x25126,x25127,x25122,x25128)) % 169.37/169.12 [2513]~E(x25131,x25132)+E(f587(x25133,x25134,x25135,x25136,x25137,x25138,x25131),f587(x25133,x25134,x25135,x25136,x25137,x25138,x25132)) % 169.37/169.12 [2514]~E(x25141,x25142)+E(f37(x25141),f37(x25142)) % 169.37/169.12 [2515]~E(x25151,x25152)+E(f236(x25151,x25153,x25154,x25155,x25156,x25157),f236(x25152,x25153,x25154,x25155,x25156,x25157)) % 169.37/169.12 [2516]~E(x25161,x25162)+E(f236(x25163,x25161,x25164,x25165,x25166,x25167),f236(x25163,x25162,x25164,x25165,x25166,x25167)) % 169.37/169.12 [2517]~E(x25171,x25172)+E(f236(x25173,x25174,x25171,x25175,x25176,x25177),f236(x25173,x25174,x25172,x25175,x25176,x25177)) % 169.37/169.12 [2518]~E(x25181,x25182)+E(f236(x25183,x25184,x25185,x25181,x25186,x25187),f236(x25183,x25184,x25185,x25182,x25186,x25187)) % 169.37/169.12 [2519]~E(x25191,x25192)+E(f236(x25193,x25194,x25195,x25196,x25191,x25197),f236(x25193,x25194,x25195,x25196,x25192,x25197)) % 169.37/169.12 [2520]~E(x25201,x25202)+E(f236(x25203,x25204,x25205,x25206,x25207,x25201),f236(x25203,x25204,x25205,x25206,x25207,x25202)) % 169.37/169.12 [2521]~E(x25211,x25212)+E(f398(x25211),f398(x25212)) % 169.37/169.12 [2522]~E(x25221,x25222)+E(f775(x25221,x25223,x25224),f775(x25222,x25223,x25224)) % 169.37/169.12 [2523]~E(x25231,x25232)+E(f775(x25233,x25231,x25234),f775(x25233,x25232,x25234)) % 169.37/169.12 [2524]~E(x25241,x25242)+E(f775(x25243,x25244,x25241),f775(x25243,x25244,x25242)) % 169.37/169.12 [2525]~E(x25251,x25252)+E(f665(x25251,x25253,x25254,x25255),f665(x25252,x25253,x25254,x25255)) % 169.37/169.12 [2526]~E(x25261,x25262)+E(f665(x25263,x25261,x25264,x25265),f665(x25263,x25262,x25264,x25265)) % 169.37/169.12 [2527]~E(x25271,x25272)+E(f665(x25273,x25274,x25271,x25275),f665(x25273,x25274,x25272,x25275)) % 169.37/169.12 [2528]~E(x25281,x25282)+E(f665(x25283,x25284,x25285,x25281),f665(x25283,x25284,x25285,x25282)) % 169.37/169.12 [2529]~E(x25291,x25292)+E(f359(x25291,x25293,x25294,x25295),f359(x25292,x25293,x25294,x25295)) % 169.37/169.12 [2530]~E(x25301,x25302)+E(f359(x25303,x25301,x25304,x25305),f359(x25303,x25302,x25304,x25305)) % 169.37/169.12 [2531]~E(x25311,x25312)+E(f359(x25313,x25314,x25311,x25315),f359(x25313,x25314,x25312,x25315)) % 169.37/169.12 [2532]~E(x25321,x25322)+E(f359(x25323,x25324,x25325,x25321),f359(x25323,x25324,x25325,x25322)) % 169.37/169.12 [2533]~E(x25331,x25332)+E(f790(x25331,x25333,x25334),f790(x25332,x25333,x25334)) % 169.37/169.12 [2534]~E(x25341,x25342)+E(f790(x25343,x25341,x25344),f790(x25343,x25342,x25344)) % 169.37/169.12 [2535]~E(x25351,x25352)+E(f790(x25353,x25354,x25351),f790(x25353,x25354,x25352)) % 169.37/169.12 [2536]~E(x25361,x25362)+E(f863(x25361,x25363,x25364),f863(x25362,x25363,x25364)) % 169.37/169.12 [2537]~E(x25371,x25372)+E(f863(x25373,x25371,x25374),f863(x25373,x25372,x25374)) % 169.37/169.12 [2538]~E(x25381,x25382)+E(f863(x25383,x25384,x25381),f863(x25383,x25384,x25382)) % 169.37/169.12 [2539]~E(x25391,x25392)+E(f638(x25391,x25393,x25394),f638(x25392,x25393,x25394)) % 169.37/169.12 [2540]~E(x25401,x25402)+E(f638(x25403,x25401,x25404),f638(x25403,x25402,x25404)) % 169.37/169.12 [2541]~E(x25411,x25412)+E(f638(x25413,x25414,x25411),f638(x25413,x25414,x25412)) % 169.37/169.12 [2542]~E(x25421,x25422)+E(f706(x25421,x25423),f706(x25422,x25423)) % 169.37/169.12 [2543]~E(x25431,x25432)+E(f706(x25433,x25431),f706(x25433,x25432)) % 169.37/169.12 [2544]~E(x25441,x25442)+E(f445(x25441,x25443,x25444,x25445,x25446),f445(x25442,x25443,x25444,x25445,x25446)) % 169.37/169.12 [2545]~E(x25451,x25452)+E(f445(x25453,x25451,x25454,x25455,x25456),f445(x25453,x25452,x25454,x25455,x25456)) % 169.37/169.12 [2546]~E(x25461,x25462)+E(f445(x25463,x25464,x25461,x25465,x25466),f445(x25463,x25464,x25462,x25465,x25466)) % 169.37/169.12 [2547]~E(x25471,x25472)+E(f445(x25473,x25474,x25475,x25471,x25476),f445(x25473,x25474,x25475,x25472,x25476)) % 169.37/169.12 [2548]~E(x25481,x25482)+E(f445(x25483,x25484,x25485,x25486,x25481),f445(x25483,x25484,x25485,x25486,x25482)) % 169.37/169.12 [2549]~E(x25491,x25492)+E(f390(x25491,x25493,x25494,x25495),f390(x25492,x25493,x25494,x25495)) % 169.37/169.12 [2550]~E(x25501,x25502)+E(f390(x25503,x25501,x25504,x25505),f390(x25503,x25502,x25504,x25505)) % 169.37/169.12 [2551]~E(x25511,x25512)+E(f390(x25513,x25514,x25511,x25515),f390(x25513,x25514,x25512,x25515)) % 169.37/169.12 [2552]~E(x25521,x25522)+E(f390(x25523,x25524,x25525,x25521),f390(x25523,x25524,x25525,x25522)) % 169.37/169.12 [2553]~E(x25531,x25532)+E(f761(x25531,x25533),f761(x25532,x25533)) % 169.37/169.12 [2554]~E(x25541,x25542)+E(f761(x25543,x25541),f761(x25543,x25542)) % 169.37/169.12 [2555]~E(x25551,x25552)+E(f418(x25551,x25553,x25554),f418(x25552,x25553,x25554)) % 169.37/169.12 [2556]~E(x25561,x25562)+E(f418(x25563,x25561,x25564),f418(x25563,x25562,x25564)) % 169.37/169.12 [2557]~E(x25571,x25572)+E(f418(x25573,x25574,x25571),f418(x25573,x25574,x25572)) % 169.37/169.12 [2558]~E(x25581,x25582)+E(f796(x25581,x25583),f796(x25582,x25583)) % 169.37/169.12 [2559]~E(x25591,x25592)+E(f796(x25593,x25591),f796(x25593,x25592)) % 169.37/169.12 [2560]~E(x25601,x25602)+E(f204(x25601,x25603),f204(x25602,x25603)) % 169.37/169.12 [2561]~E(x25611,x25612)+E(f204(x25613,x25611),f204(x25613,x25612)) % 169.37/169.12 [2562]~E(x25621,x25622)+E(f331(x25621,x25623,x25624,x25625),f331(x25622,x25623,x25624,x25625)) % 169.37/169.12 [2563]~E(x25631,x25632)+E(f331(x25633,x25631,x25634,x25635),f331(x25633,x25632,x25634,x25635)) % 169.37/169.12 [2564]~E(x25641,x25642)+E(f331(x25643,x25644,x25641,x25645),f331(x25643,x25644,x25642,x25645)) % 169.37/169.12 [2565]~E(x25651,x25652)+E(f331(x25653,x25654,x25655,x25651),f331(x25653,x25654,x25655,x25652)) % 169.37/169.12 [2566]~E(x25661,x25662)+E(f470(x25661),f470(x25662)) % 169.37/169.12 [2567]~E(x25671,x25672)+E(f463(x25671,x25673,x25674,x25675),f463(x25672,x25673,x25674,x25675)) % 169.37/169.12 [2568]~E(x25681,x25682)+E(f463(x25683,x25681,x25684,x25685),f463(x25683,x25682,x25684,x25685)) % 169.37/169.12 [2569]~E(x25691,x25692)+E(f463(x25693,x25694,x25691,x25695),f463(x25693,x25694,x25692,x25695)) % 169.37/169.12 [2570]~E(x25701,x25702)+E(f463(x25703,x25704,x25705,x25701),f463(x25703,x25704,x25705,x25702)) % 169.37/169.12 [2571]~E(x25711,x25712)+E(f630(x25711,x25713),f630(x25712,x25713)) % 169.37/169.12 [2572]~E(x25721,x25722)+E(f630(x25723,x25721),f630(x25723,x25722)) % 169.37/169.12 [2573]~E(x25731,x25732)+E(f586(x25731,x25733,x25734,x25735,x25736),f586(x25732,x25733,x25734,x25735,x25736)) % 169.37/169.12 [2574]~E(x25741,x25742)+E(f586(x25743,x25741,x25744,x25745,x25746),f586(x25743,x25742,x25744,x25745,x25746)) % 169.37/169.12 [2575]~E(x25751,x25752)+E(f586(x25753,x25754,x25751,x25755,x25756),f586(x25753,x25754,x25752,x25755,x25756)) % 169.37/169.12 [2576]~E(x25761,x25762)+E(f586(x25763,x25764,x25765,x25761,x25766),f586(x25763,x25764,x25765,x25762,x25766)) % 169.37/169.12 [2577]~E(x25771,x25772)+E(f586(x25773,x25774,x25775,x25776,x25771),f586(x25773,x25774,x25775,x25776,x25772)) % 169.37/169.12 [2578]~E(x25781,x25782)+E(f459(x25781,x25783,x25784,x25785),f459(x25782,x25783,x25784,x25785)) % 169.37/169.12 [2579]~E(x25791,x25792)+E(f459(x25793,x25791,x25794,x25795),f459(x25793,x25792,x25794,x25795)) % 169.37/169.12 [2580]~E(x25801,x25802)+E(f459(x25803,x25804,x25801,x25805),f459(x25803,x25804,x25802,x25805)) % 169.37/169.12 [2581]~E(x25811,x25812)+E(f459(x25813,x25814,x25815,x25811),f459(x25813,x25814,x25815,x25812)) % 169.37/169.12 [2582]~E(x25821,x25822)+E(f559(x25821,x25823,x25824),f559(x25822,x25823,x25824)) % 169.37/169.12 [2583]~E(x25831,x25832)+E(f559(x25833,x25831,x25834),f559(x25833,x25832,x25834)) % 169.37/169.12 [2584]~E(x25841,x25842)+E(f559(x25843,x25844,x25841),f559(x25843,x25844,x25842)) % 169.37/169.12 [2585]~E(x25851,x25852)+E(f770(x25851,x25853,x25854,x25855,x25856,x25857,x25858),f770(x25852,x25853,x25854,x25855,x25856,x25857,x25858)) % 169.37/169.12 [2586]~E(x25861,x25862)+E(f770(x25863,x25861,x25864,x25865,x25866,x25867,x25868),f770(x25863,x25862,x25864,x25865,x25866,x25867,x25868)) % 169.37/169.12 [2587]~E(x25871,x25872)+E(f770(x25873,x25874,x25871,x25875,x25876,x25877,x25878),f770(x25873,x25874,x25872,x25875,x25876,x25877,x25878)) % 169.37/169.12 [2588]~E(x25881,x25882)+E(f770(x25883,x25884,x25885,x25881,x25886,x25887,x25888),f770(x25883,x25884,x25885,x25882,x25886,x25887,x25888)) % 169.37/169.12 [2589]~E(x25891,x25892)+E(f770(x25893,x25894,x25895,x25896,x25891,x25897,x25898),f770(x25893,x25894,x25895,x25896,x25892,x25897,x25898)) % 169.37/169.12 [2590]~E(x25901,x25902)+E(f770(x25903,x25904,x25905,x25906,x25907,x25901,x25908),f770(x25903,x25904,x25905,x25906,x25907,x25902,x25908)) % 169.37/169.12 [2591]~E(x25911,x25912)+E(f770(x25913,x25914,x25915,x25916,x25917,x25918,x25911),f770(x25913,x25914,x25915,x25916,x25917,x25918,x25912)) % 169.37/169.12 [2592]~E(x25921,x25922)+E(f354(x25921,x25923),f354(x25922,x25923)) % 169.37/169.12 [2593]~E(x25931,x25932)+E(f354(x25933,x25931),f354(x25933,x25932)) % 169.37/169.12 [2594]~E(x25941,x25942)+E(f819(x25941,x25943,x25944,x25945,x25946,x25947,x25948,x25949),f819(x25942,x25943,x25944,x25945,x25946,x25947,x25948,x25949)) % 169.37/169.12 [2595]~E(x25951,x25952)+E(f819(x25953,x25951,x25954,x25955,x25956,x25957,x25958,x25959),f819(x25953,x25952,x25954,x25955,x25956,x25957,x25958,x25959)) % 169.37/169.12 [2596]~E(x25961,x25962)+E(f819(x25963,x25964,x25961,x25965,x25966,x25967,x25968,x25969),f819(x25963,x25964,x25962,x25965,x25966,x25967,x25968,x25969)) % 169.37/169.12 [2597]~E(x25971,x25972)+E(f819(x25973,x25974,x25975,x25971,x25976,x25977,x25978,x25979),f819(x25973,x25974,x25975,x25972,x25976,x25977,x25978,x25979)) % 169.37/169.12 [2598]~E(x25981,x25982)+E(f819(x25983,x25984,x25985,x25986,x25981,x25987,x25988,x25989),f819(x25983,x25984,x25985,x25986,x25982,x25987,x25988,x25989)) % 169.37/169.12 [2599]~E(x25991,x25992)+E(f819(x25993,x25994,x25995,x25996,x25997,x25991,x25998,x25999),f819(x25993,x25994,x25995,x25996,x25997,x25992,x25998,x25999)) % 169.37/169.12 [2600]~E(x26001,x26002)+E(f819(x26003,x26004,x26005,x26006,x26007,x26008,x26001,x26009),f819(x26003,x26004,x26005,x26006,x26007,x26008,x26002,x26009)) % 169.37/169.12 [2601]~E(x26011,x26012)+E(f819(x26013,x26014,x26015,x26016,x26017,x26018,x26019,x26011),f819(x26013,x26014,x26015,x26016,x26017,x26018,x26019,x26012)) % 169.37/169.12 [2602]~E(x26021,x26022)+E(f729(x26021),f729(x26022)) % 169.37/169.12 [2603]~E(x26031,x26032)+E(f461(x26031,x26033,x26034),f461(x26032,x26033,x26034)) % 169.37/169.12 [2604]~E(x26041,x26042)+E(f461(x26043,x26041,x26044),f461(x26043,x26042,x26044)) % 169.37/169.12 [2605]~E(x26051,x26052)+E(f461(x26053,x26054,x26051),f461(x26053,x26054,x26052)) % 169.37/169.12 [2606]~E(x26061,x26062)+E(f833(x26061,x26063,x26064),f833(x26062,x26063,x26064)) % 169.37/169.12 [2607]~E(x26071,x26072)+E(f833(x26073,x26071,x26074),f833(x26073,x26072,x26074)) % 169.37/169.12 [2608]~E(x26081,x26082)+E(f833(x26083,x26084,x26081),f833(x26083,x26084,x26082)) % 169.37/169.12 [2609]~E(x26091,x26092)+E(f437(x26091,x26093,x26094,x26095,x26096),f437(x26092,x26093,x26094,x26095,x26096)) % 169.37/169.12 [2610]~E(x26101,x26102)+E(f437(x26103,x26101,x26104,x26105,x26106),f437(x26103,x26102,x26104,x26105,x26106)) % 169.37/169.12 [2611]~E(x26111,x26112)+E(f437(x26113,x26114,x26111,x26115,x26116),f437(x26113,x26114,x26112,x26115,x26116)) % 169.37/169.12 [2612]~E(x26121,x26122)+E(f437(x26123,x26124,x26125,x26121,x26126),f437(x26123,x26124,x26125,x26122,x26126)) % 169.37/169.12 [2613]~E(x26131,x26132)+E(f437(x26133,x26134,x26135,x26136,x26131),f437(x26133,x26134,x26135,x26136,x26132)) % 169.37/169.12 [2614]~E(x26141,x26142)+E(f617(x26141,x26143,x26144),f617(x26142,x26143,x26144)) % 169.37/169.12 [2615]~E(x26151,x26152)+E(f617(x26153,x26151,x26154),f617(x26153,x26152,x26154)) % 169.37/169.12 [2616]~E(x26161,x26162)+E(f617(x26163,x26164,x26161),f617(x26163,x26164,x26162)) % 169.37/169.12 [2617]~E(x26171,x26172)+E(f257(x26171),f257(x26172)) % 169.37/169.12 [2618]~E(x26181,x26182)+E(f518(x26181,x26183),f518(x26182,x26183)) % 169.37/169.12 [2619]~E(x26191,x26192)+E(f518(x26193,x26191),f518(x26193,x26192)) % 169.37/169.12 [2620]~E(x26201,x26202)+E(f886(x26201,x26203,x26204,x26205),f886(x26202,x26203,x26204,x26205)) % 169.37/169.12 [2621]~E(x26211,x26212)+E(f886(x26213,x26211,x26214,x26215),f886(x26213,x26212,x26214,x26215)) % 169.37/169.12 [2622]~E(x26221,x26222)+E(f886(x26223,x26224,x26221,x26225),f886(x26223,x26224,x26222,x26225)) % 169.37/169.12 [2623]~E(x26231,x26232)+E(f886(x26233,x26234,x26235,x26231),f886(x26233,x26234,x26235,x26232)) % 169.37/169.12 [2624]~E(x26241,x26242)+E(f803(x26241,x26243),f803(x26242,x26243)) % 169.37/169.12 [2625]~E(x26251,x26252)+E(f803(x26253,x26251),f803(x26253,x26252)) % 169.37/169.12 [2626]~E(x26261,x26262)+E(f442(x26261,x26263,x26264,x26265,x26266),f442(x26262,x26263,x26264,x26265,x26266)) % 169.37/169.12 [2627]~E(x26271,x26272)+E(f442(x26273,x26271,x26274,x26275,x26276),f442(x26273,x26272,x26274,x26275,x26276)) % 169.37/169.12 [2628]~E(x26281,x26282)+E(f442(x26283,x26284,x26281,x26285,x26286),f442(x26283,x26284,x26282,x26285,x26286)) % 169.37/169.12 [2629]~E(x26291,x26292)+E(f442(x26293,x26294,x26295,x26291,x26296),f442(x26293,x26294,x26295,x26292,x26296)) % 169.37/169.12 [2630]~E(x26301,x26302)+E(f442(x26303,x26304,x26305,x26306,x26301),f442(x26303,x26304,x26305,x26306,x26302)) % 169.37/169.12 [2631]~E(x26311,x26312)+E(f491(x26311,x26313),f491(x26312,x26313)) % 169.37/169.12 [2632]~E(x26321,x26322)+E(f491(x26323,x26321),f491(x26323,x26322)) % 169.37/169.12 [2633]~E(x26331,x26332)+E(f342(x26331,x26333,x26334),f342(x26332,x26333,x26334)) % 169.37/169.12 [2634]~E(x26341,x26342)+E(f342(x26343,x26341,x26344),f342(x26343,x26342,x26344)) % 169.37/169.12 [2635]~E(x26351,x26352)+E(f342(x26353,x26354,x26351),f342(x26353,x26354,x26352)) % 169.37/169.12 [2636]~E(x26361,x26362)+E(f804(x26361,x26363),f804(x26362,x26363)) % 169.37/169.12 [2637]~E(x26371,x26372)+E(f804(x26373,x26371),f804(x26373,x26372)) % 169.37/169.12 [2638]~E(x26381,x26382)+E(f387(x26381,x26383),f387(x26382,x26383)) % 169.37/169.12 [2639]~E(x26391,x26392)+E(f387(x26393,x26391),f387(x26393,x26392)) % 169.37/169.12 [2640]~E(x26401,x26402)+E(f610(x26401,x26403),f610(x26402,x26403)) % 169.37/169.12 [2641]~E(x26411,x26412)+E(f610(x26413,x26411),f610(x26413,x26412)) % 169.37/169.12 [2642]~E(x26421,x26422)+E(f731(x26421),f731(x26422)) % 169.37/169.12 [2643]~E(x26431,x26432)+E(f514(x26431,x26433,x26434,x26435),f514(x26432,x26433,x26434,x26435)) % 169.37/169.12 [2644]~E(x26441,x26442)+E(f514(x26443,x26441,x26444,x26445),f514(x26443,x26442,x26444,x26445)) % 169.37/169.12 [2645]~E(x26451,x26452)+E(f514(x26453,x26454,x26451,x26455),f514(x26453,x26454,x26452,x26455)) % 169.37/169.12 [2646]~E(x26461,x26462)+E(f514(x26463,x26464,x26465,x26461),f514(x26463,x26464,x26465,x26462)) % 169.37/169.12 [2647]~E(x26471,x26472)+E(f849(x26471),f849(x26472)) % 169.37/169.12 [2648]~E(x26481,x26482)+E(f812(x26481,x26483),f812(x26482,x26483)) % 169.37/169.12 [2649]~E(x26491,x26492)+E(f812(x26493,x26491),f812(x26493,x26492)) % 169.37/169.12 [2650]~E(x26501,x26502)+E(f365(x26501,x26503,x26504,x26505),f365(x26502,x26503,x26504,x26505)) % 169.37/169.12 [2651]~E(x26511,x26512)+E(f365(x26513,x26511,x26514,x26515),f365(x26513,x26512,x26514,x26515)) % 169.37/169.12 [2652]~E(x26521,x26522)+E(f365(x26523,x26524,x26521,x26525),f365(x26523,x26524,x26522,x26525)) % 169.37/169.12 [2653]~E(x26531,x26532)+E(f365(x26533,x26534,x26535,x26531),f365(x26533,x26534,x26535,x26532)) % 169.37/169.12 [2654]~E(x26541,x26542)+E(f113(x26541),f113(x26542)) % 169.37/169.12 [2655]~E(x26551,x26552)+E(f831(x26551,x26553,x26554,x26555,x26556,x26557),f831(x26552,x26553,x26554,x26555,x26556,x26557)) % 169.37/169.12 [2656]~E(x26561,x26562)+E(f831(x26563,x26561,x26564,x26565,x26566,x26567),f831(x26563,x26562,x26564,x26565,x26566,x26567)) % 169.37/169.12 [2657]~E(x26571,x26572)+E(f831(x26573,x26574,x26571,x26575,x26576,x26577),f831(x26573,x26574,x26572,x26575,x26576,x26577)) % 169.37/169.12 [2658]~E(x26581,x26582)+E(f831(x26583,x26584,x26585,x26581,x26586,x26587),f831(x26583,x26584,x26585,x26582,x26586,x26587)) % 169.37/169.12 [2659]~E(x26591,x26592)+E(f831(x26593,x26594,x26595,x26596,x26591,x26597),f831(x26593,x26594,x26595,x26596,x26592,x26597)) % 169.37/169.12 [2660]~E(x26601,x26602)+E(f831(x26603,x26604,x26605,x26606,x26607,x26601),f831(x26603,x26604,x26605,x26606,x26607,x26602)) % 169.37/169.12 [2661]~E(x26611,x26612)+E(f556(x26611,x26613,x26614,x26615,x26616),f556(x26612,x26613,x26614,x26615,x26616)) % 169.37/169.12 [2662]~E(x26621,x26622)+E(f556(x26623,x26621,x26624,x26625,x26626),f556(x26623,x26622,x26624,x26625,x26626)) % 169.37/169.12 [2663]~E(x26631,x26632)+E(f556(x26633,x26634,x26631,x26635,x26636),f556(x26633,x26634,x26632,x26635,x26636)) % 169.37/169.12 [2664]~E(x26641,x26642)+E(f556(x26643,x26644,x26645,x26641,x26646),f556(x26643,x26644,x26645,x26642,x26646)) % 169.37/169.12 [2665]~E(x26651,x26652)+E(f556(x26653,x26654,x26655,x26656,x26651),f556(x26653,x26654,x26655,x26656,x26652)) % 169.37/169.12 [2666]~E(x26661,x26662)+E(f346(x26661,x26663,x26664),f346(x26662,x26663,x26664)) % 169.37/169.12 [2667]~E(x26671,x26672)+E(f346(x26673,x26671,x26674),f346(x26673,x26672,x26674)) % 169.37/169.12 [2668]~E(x26681,x26682)+E(f346(x26683,x26684,x26681),f346(x26683,x26684,x26682)) % 169.37/169.12 [2669]~E(x26691,x26692)+E(f216(x26691,x26693,x26694,x26695,x26696),f216(x26692,x26693,x26694,x26695,x26696)) % 169.37/169.12 [2670]~E(x26701,x26702)+E(f216(x26703,x26701,x26704,x26705,x26706),f216(x26703,x26702,x26704,x26705,x26706)) % 169.37/169.12 [2671]~E(x26711,x26712)+E(f216(x26713,x26714,x26711,x26715,x26716),f216(x26713,x26714,x26712,x26715,x26716)) % 169.37/169.12 [2672]~E(x26721,x26722)+E(f216(x26723,x26724,x26725,x26721,x26726),f216(x26723,x26724,x26725,x26722,x26726)) % 169.37/169.12 [2673]~E(x26731,x26732)+E(f216(x26733,x26734,x26735,x26736,x26731),f216(x26733,x26734,x26735,x26736,x26732)) % 169.37/169.12 [2674]~E(x26741,x26742)+E(f36(x26741),f36(x26742)) % 169.37/169.12 [2675]~E(x26751,x26752)+E(f197(x26751,x26753,x26754,x26755,x26756,x26757,x26758),f197(x26752,x26753,x26754,x26755,x26756,x26757,x26758)) % 169.37/169.12 [2676]~E(x26761,x26762)+E(f197(x26763,x26761,x26764,x26765,x26766,x26767,x26768),f197(x26763,x26762,x26764,x26765,x26766,x26767,x26768)) % 169.37/169.12 [2677]~E(x26771,x26772)+E(f197(x26773,x26774,x26771,x26775,x26776,x26777,x26778),f197(x26773,x26774,x26772,x26775,x26776,x26777,x26778)) % 169.37/169.12 [2678]~E(x26781,x26782)+E(f197(x26783,x26784,x26785,x26781,x26786,x26787,x26788),f197(x26783,x26784,x26785,x26782,x26786,x26787,x26788)) % 169.37/169.12 [2679]~E(x26791,x26792)+E(f197(x26793,x26794,x26795,x26796,x26791,x26797,x26798),f197(x26793,x26794,x26795,x26796,x26792,x26797,x26798)) % 169.37/169.12 [2680]~E(x26801,x26802)+E(f197(x26803,x26804,x26805,x26806,x26807,x26801,x26808),f197(x26803,x26804,x26805,x26806,x26807,x26802,x26808)) % 169.37/169.12 [2681]~E(x26811,x26812)+E(f197(x26813,x26814,x26815,x26816,x26817,x26818,x26811),f197(x26813,x26814,x26815,x26816,x26817,x26818,x26812)) % 169.37/169.12 [2682]~E(x26821,x26822)+E(f791(x26821,x26823),f791(x26822,x26823)) % 169.37/169.12 [2683]~E(x26831,x26832)+E(f791(x26833,x26831),f791(x26833,x26832)) % 169.37/169.12 [2684]~E(x26841,x26842)+E(f852(x26841,x26843),f852(x26842,x26843)) % 169.37/169.12 [2685]~E(x26851,x26852)+E(f852(x26853,x26851),f852(x26853,x26852)) % 169.37/169.12 [2686]~E(x26861,x26862)+E(f783(x26861,x26863),f783(x26862,x26863)) % 169.37/169.12 [2687]~E(x26871,x26872)+E(f783(x26873,x26871),f783(x26873,x26872)) % 169.37/169.12 [2688]~E(x26881,x26882)+E(f671(x26881,x26883,x26884),f671(x26882,x26883,x26884)) % 169.37/169.12 [2689]~E(x26891,x26892)+E(f671(x26893,x26891,x26894),f671(x26893,x26892,x26894)) % 169.37/169.12 [2690]~E(x26901,x26902)+E(f671(x26903,x26904,x26901),f671(x26903,x26904,x26902)) % 169.37/169.12 [2691]~E(x26911,x26912)+E(f215(x26911,x26913,x26914,x26915,x26916),f215(x26912,x26913,x26914,x26915,x26916)) % 169.37/169.12 [2692]~E(x26921,x26922)+E(f215(x26923,x26921,x26924,x26925,x26926),f215(x26923,x26922,x26924,x26925,x26926)) % 169.37/169.12 [2693]~E(x26931,x26932)+E(f215(x26933,x26934,x26931,x26935,x26936),f215(x26933,x26934,x26932,x26935,x26936)) % 169.37/169.12 [2694]~E(x26941,x26942)+E(f215(x26943,x26944,x26945,x26941,x26946),f215(x26943,x26944,x26945,x26942,x26946)) % 169.37/169.12 [2695]~E(x26951,x26952)+E(f215(x26953,x26954,x26955,x26956,x26951),f215(x26953,x26954,x26955,x26956,x26952)) % 169.37/169.12 [2696]~E(x26961,x26962)+E(f540(x26961,x26963,x26964),f540(x26962,x26963,x26964)) % 169.37/169.12 [2697]~E(x26971,x26972)+E(f540(x26973,x26971,x26974),f540(x26973,x26972,x26974)) % 169.37/169.12 [2698]~E(x26981,x26982)+E(f540(x26983,x26984,x26981),f540(x26983,x26984,x26982)) % 169.37/169.12 [2699]~E(x26991,x26992)+E(f815(x26991,x26993,x26994),f815(x26992,x26993,x26994)) % 169.37/169.12 [2700]~E(x27001,x27002)+E(f815(x27003,x27001,x27004),f815(x27003,x27002,x27004)) % 169.37/169.12 [2701]~E(x27011,x27012)+E(f815(x27013,x27014,x27011),f815(x27013,x27014,x27012)) % 169.37/169.12 [2702]~E(x27021,x27022)+E(f336(x27021,x27023),f336(x27022,x27023)) % 169.37/169.12 [2703]~E(x27031,x27032)+E(f336(x27033,x27031),f336(x27033,x27032)) % 169.37/169.12 [2704]~E(x27041,x27042)+E(f847(x27041),f847(x27042)) % 169.37/169.12 [2705]~E(x27051,x27052)+E(f633(x27051,x27053,x27054,x27055,x27056),f633(x27052,x27053,x27054,x27055,x27056)) % 169.37/169.12 [2706]~E(x27061,x27062)+E(f633(x27063,x27061,x27064,x27065,x27066),f633(x27063,x27062,x27064,x27065,x27066)) % 169.37/169.12 [2707]~E(x27071,x27072)+E(f633(x27073,x27074,x27071,x27075,x27076),f633(x27073,x27074,x27072,x27075,x27076)) % 169.37/169.12 [2708]~E(x27081,x27082)+E(f633(x27083,x27084,x27085,x27081,x27086),f633(x27083,x27084,x27085,x27082,x27086)) % 169.37/169.12 [2709]~E(x27091,x27092)+E(f633(x27093,x27094,x27095,x27096,x27091),f633(x27093,x27094,x27095,x27096,x27092)) % 169.37/169.12 [2710]~E(x27101,x27102)+E(f370(x27101,x27103,x27104),f370(x27102,x27103,x27104)) % 169.37/169.12 [2711]~E(x27111,x27112)+E(f370(x27113,x27111,x27114),f370(x27113,x27112,x27114)) % 169.37/169.12 [2712]~E(x27121,x27122)+E(f370(x27123,x27124,x27121),f370(x27123,x27124,x27122)) % 169.37/169.12 [2713]~E(x27131,x27132)+E(f592(x27131,x27133,x27134),f592(x27132,x27133,x27134)) % 169.37/169.12 [2714]~E(x27141,x27142)+E(f592(x27143,x27141,x27144),f592(x27143,x27142,x27144)) % 169.37/169.12 [2715]~E(x27151,x27152)+E(f592(x27153,x27154,x27151),f592(x27153,x27154,x27152)) % 169.37/169.12 [2716]~E(x27161,x27162)+E(f736(x27161,x27163,x27164),f736(x27162,x27163,x27164)) % 169.37/169.12 [2717]~E(x27171,x27172)+E(f736(x27173,x27171,x27174),f736(x27173,x27172,x27174)) % 169.37/169.12 [2718]~E(x27181,x27182)+E(f736(x27183,x27184,x27181),f736(x27183,x27184,x27182)) % 169.37/169.12 [2719]~E(x27191,x27192)+E(f858(x27191,x27193),f858(x27192,x27193)) % 169.37/169.12 [2720]~E(x27201,x27202)+E(f858(x27203,x27201),f858(x27203,x27202)) % 169.37/169.12 [2721]~E(x27211,x27212)+E(f806(x27211,x27213,x27214,x27215,x27216,x27217),f806(x27212,x27213,x27214,x27215,x27216,x27217)) % 169.37/169.12 [2722]~E(x27221,x27222)+E(f806(x27223,x27221,x27224,x27225,x27226,x27227),f806(x27223,x27222,x27224,x27225,x27226,x27227)) % 169.37/169.12 [2723]~E(x27231,x27232)+E(f806(x27233,x27234,x27231,x27235,x27236,x27237),f806(x27233,x27234,x27232,x27235,x27236,x27237)) % 169.37/169.12 [2724]~E(x27241,x27242)+E(f806(x27243,x27244,x27245,x27241,x27246,x27247),f806(x27243,x27244,x27245,x27242,x27246,x27247)) % 169.37/169.12 [2725]~E(x27251,x27252)+E(f806(x27253,x27254,x27255,x27256,x27251,x27257),f806(x27253,x27254,x27255,x27256,x27252,x27257)) % 169.37/169.12 [2726]~E(x27261,x27262)+E(f806(x27263,x27264,x27265,x27266,x27267,x27261),f806(x27263,x27264,x27265,x27266,x27267,x27262)) % 169.37/169.12 [2727]~E(x27271,x27272)+E(f805(x27271,x27273,x27274,x27275),f805(x27272,x27273,x27274,x27275)) % 169.37/169.12 [2728]~E(x27281,x27282)+E(f805(x27283,x27281,x27284,x27285),f805(x27283,x27282,x27284,x27285)) % 169.37/169.12 [2729]~E(x27291,x27292)+E(f805(x27293,x27294,x27291,x27295),f805(x27293,x27294,x27292,x27295)) % 169.37/169.12 [2730]~E(x27301,x27302)+E(f805(x27303,x27304,x27305,x27301),f805(x27303,x27304,x27305,x27302)) % 169.37/169.12 [2731]~E(x27311,x27312)+E(f669(x27311,x27313,x27314),f669(x27312,x27313,x27314)) % 169.37/169.12 [2732]~E(x27321,x27322)+E(f669(x27323,x27321,x27324),f669(x27323,x27322,x27324)) % 169.37/169.12 [2733]~E(x27331,x27332)+E(f669(x27333,x27334,x27331),f669(x27333,x27334,x27332)) % 169.37/169.12 [2734]~E(x27341,x27342)+E(f218(x27341,x27343,x27344),f218(x27342,x27343,x27344)) % 169.37/169.12 [2735]~E(x27351,x27352)+E(f218(x27353,x27351,x27354),f218(x27353,x27352,x27354)) % 169.37/169.12 [2736]~E(x27361,x27362)+E(f218(x27363,x27364,x27361),f218(x27363,x27364,x27362)) % 169.37/169.12 [2737]~E(x27371,x27372)+E(f839(x27371,x27373,x27374),f839(x27372,x27373,x27374)) % 169.37/169.12 [2738]~E(x27381,x27382)+E(f839(x27383,x27381,x27384),f839(x27383,x27382,x27384)) % 169.37/169.12 [2739]~E(x27391,x27392)+E(f839(x27393,x27394,x27391),f839(x27393,x27394,x27392)) % 169.37/169.12 [2740]~E(x27401,x27402)+E(f185(x27401,x27403,x27404,x27405),f185(x27402,x27403,x27404,x27405)) % 169.37/169.12 [2741]~E(x27411,x27412)+E(f185(x27413,x27411,x27414,x27415),f185(x27413,x27412,x27414,x27415)) % 169.37/169.12 [2742]~E(x27421,x27422)+E(f185(x27423,x27424,x27421,x27425),f185(x27423,x27424,x27422,x27425)) % 169.37/169.12 [2743]~E(x27431,x27432)+E(f185(x27433,x27434,x27435,x27431),f185(x27433,x27434,x27435,x27432)) % 169.37/169.12 [2744]~E(x27441,x27442)+E(f767(x27441),f767(x27442)) % 169.37/169.12 [2745]~E(x27451,x27452)+E(f492(x27451,x27453),f492(x27452,x27453)) % 169.37/169.12 [2746]~E(x27461,x27462)+E(f492(x27463,x27461),f492(x27463,x27462)) % 169.37/169.12 [2747]~E(x27471,x27472)+E(f703(x27471,x27473,x27474,x27475),f703(x27472,x27473,x27474,x27475)) % 169.37/169.12 [2748]~E(x27481,x27482)+E(f703(x27483,x27481,x27484,x27485),f703(x27483,x27482,x27484,x27485)) % 169.37/169.12 [2749]~E(x27491,x27492)+E(f703(x27493,x27494,x27491,x27495),f703(x27493,x27494,x27492,x27495)) % 169.37/169.12 [2750]~E(x27501,x27502)+E(f703(x27503,x27504,x27505,x27501),f703(x27503,x27504,x27505,x27502)) % 169.37/169.12 [2751]~E(x27511,x27512)+E(f776(x27511,x27513),f776(x27512,x27513)) % 169.37/169.12 [2752]~E(x27521,x27522)+E(f776(x27523,x27521),f776(x27523,x27522)) % 169.37/169.12 [2753]~E(x27531,x27532)+E(f193(x27531,x27533,x27534),f193(x27532,x27533,x27534)) % 169.37/169.12 [2754]~E(x27541,x27542)+E(f193(x27543,x27541,x27544),f193(x27543,x27542,x27544)) % 169.37/169.12 [2755]~E(x27551,x27552)+E(f193(x27553,x27554,x27551),f193(x27553,x27554,x27552)) % 169.37/169.12 [2756]~E(x27561,x27562)+E(f713(x27561,x27563),f713(x27562,x27563)) % 169.37/169.12 [2757]~E(x27571,x27572)+E(f713(x27573,x27571),f713(x27573,x27572)) % 169.37/169.12 [2758]~E(x27581,x27582)+E(f212(x27581,x27583,x27584),f212(x27582,x27583,x27584)) % 169.37/169.12 [2759]~E(x27591,x27592)+E(f212(x27593,x27591,x27594),f212(x27593,x27592,x27594)) % 169.37/169.12 [2760]~E(x27601,x27602)+E(f212(x27603,x27604,x27601),f212(x27603,x27604,x27602)) % 169.37/169.12 [2761]~E(x27611,x27612)+E(f687(x27611,x27613),f687(x27612,x27613)) % 169.37/169.12 [2762]~E(x27621,x27622)+E(f687(x27623,x27621),f687(x27623,x27622)) % 169.37/169.12 [2763]~E(x27631,x27632)+E(f324(x27631),f324(x27632)) % 169.37/169.12 [2764]~E(x27641,x27642)+E(f851(x27641,x27643),f851(x27642,x27643)) % 169.37/169.12 [2765]~E(x27651,x27652)+E(f851(x27653,x27651),f851(x27653,x27652)) % 169.37/169.12 [2766]~E(x27661,x27662)+E(f114(x27661),f114(x27662)) % 169.37/169.12 [2767]~E(x27671,x27672)+E(f477(x27671),f477(x27672)) % 169.37/169.12 [2768]~E(x27681,x27682)+E(f493(x27681,x27683),f493(x27682,x27683)) % 169.37/169.12 [2769]~E(x27691,x27692)+E(f493(x27693,x27691),f493(x27693,x27692)) % 169.37/169.12 [2770]~P1(x27701)+P1(x27702)+~E(x27701,x27702) % 169.37/169.12 [2771]~P2(x27711)+P2(x27712)+~E(x27711,x27712) % 169.37/169.12 [2772]P16(x27722,x27723)+~E(x27721,x27722)+~P16(x27721,x27723) % 169.37/169.12 [2773]P16(x27733,x27732)+~E(x27731,x27732)+~P16(x27733,x27731) % 169.37/169.12 [2774]~P4(x27741)+P4(x27742)+~E(x27741,x27742) % 169.37/169.12 [2775]~P106(x27751)+P106(x27752)+~E(x27751,x27752) % 169.37/169.12 [2776]~P3(x27761)+P3(x27762)+~E(x27761,x27762) % 169.37/169.12 [2777]P17(x27772,x27773,x27774)+~E(x27771,x27772)+~P17(x27771,x27773,x27774) % 169.37/169.12 [2778]P17(x27783,x27782,x27784)+~E(x27781,x27782)+~P17(x27783,x27781,x27784) % 169.37/169.12 [2779]P17(x27793,x27794,x27792)+~E(x27791,x27792)+~P17(x27793,x27794,x27791) % 169.37/169.12 [2780]P19(x27802,x27803,x27804)+~E(x27801,x27802)+~P19(x27801,x27803,x27804) % 169.37/169.12 [2781]P19(x27813,x27812,x27814)+~E(x27811,x27812)+~P19(x27813,x27811,x27814) % 169.37/169.12 [2782]P19(x27823,x27824,x27822)+~E(x27821,x27822)+~P19(x27823,x27824,x27821) % 169.37/169.12 [2783]~P81(x27831)+P81(x27832)+~E(x27831,x27832) % 169.37/169.12 [2784]~P114(x27841)+P114(x27842)+~E(x27841,x27842) % 169.37/169.12 [2785]~P112(x27851)+P112(x27852)+~E(x27851,x27852) % 169.37/169.12 [2786]~P83(x27861)+P83(x27862)+~E(x27861,x27862) % 169.37/169.12 [2787]~P109(x27871)+P109(x27872)+~E(x27871,x27872) % 169.37/169.12 [2788]~P135(x27881)+P135(x27882)+~E(x27881,x27882) % 169.37/169.12 [2789]P147(x27892,x27893,x27894)+~E(x27891,x27892)+~P147(x27891,x27893,x27894) % 169.37/169.12 [2790]P147(x27903,x27902,x27904)+~E(x27901,x27902)+~P147(x27903,x27901,x27904) % 169.37/169.12 [2791]P147(x27913,x27914,x27912)+~E(x27911,x27912)+~P147(x27913,x27914,x27911) % 169.37/169.12 [2792]P57(x27922,x27923,x27924)+~E(x27921,x27922)+~P57(x27921,x27923,x27924) % 169.37/169.12 [2793]P57(x27933,x27932,x27934)+~E(x27931,x27932)+~P57(x27933,x27931,x27934) % 169.37/169.12 [2794]P57(x27943,x27944,x27942)+~E(x27941,x27942)+~P57(x27943,x27944,x27941) % 169.37/169.12 [2795]~P5(x27951)+P5(x27952)+~E(x27951,x27952) % 169.37/169.12 [2796]~P66(x27961)+P66(x27962)+~E(x27961,x27962) % 169.37/169.12 [2797]~P149(x27971)+P149(x27972)+~E(x27971,x27972) % 169.37/169.12 [2798]~P68(x27981)+P68(x27982)+~E(x27981,x27982) % 169.37/169.12 [2799]~P6(x27991)+P6(x27992)+~E(x27991,x27992) % 169.37/169.12 [2800]~P69(x28001)+P69(x28002)+~E(x28001,x28002) % 169.37/169.12 [2801]P54(x28012,x28013)+~E(x28011,x28012)+~P54(x28011,x28013) % 169.37/169.12 [2802]P54(x28023,x28022)+~E(x28021,x28022)+~P54(x28023,x28021) % 169.37/169.12 [2803]P148(x28032,x28033,x28034)+~E(x28031,x28032)+~P148(x28031,x28033,x28034) % 169.37/169.12 [2804]P148(x28043,x28042,x28044)+~E(x28041,x28042)+~P148(x28043,x28041,x28044) % 169.37/169.12 [2805]P148(x28053,x28054,x28052)+~E(x28051,x28052)+~P148(x28053,x28054,x28051) % 169.37/169.12 [2806]~P79(x28061)+P79(x28062)+~E(x28061,x28062) % 169.37/169.12 [2807]~P99(x28071)+P99(x28072)+~E(x28071,x28072) % 169.37/169.12 [2808]~P70(x28081)+P70(x28082)+~E(x28081,x28082) % 169.37/169.12 [2809]~P82(x28091)+P82(x28092)+~E(x28091,x28092) % 169.37/169.12 [2810]~P130(x28101)+P130(x28102)+~E(x28101,x28102) % 169.37/169.12 [2811]~P110(x28111)+P110(x28112)+~E(x28111,x28112) % 169.37/169.12 [2812]~P71(x28121)+P71(x28122)+~E(x28121,x28122) % 169.37/169.12 [2813]P27(x28132,x28133,x28134,x28135)+~E(x28131,x28132)+~P27(x28131,x28133,x28134,x28135) % 169.37/169.12 [2814]P27(x28143,x28142,x28144,x28145)+~E(x28141,x28142)+~P27(x28143,x28141,x28144,x28145) % 169.37/169.12 [2815]P27(x28153,x28154,x28152,x28155)+~E(x28151,x28152)+~P27(x28153,x28154,x28151,x28155) % 169.37/169.12 [2816]P27(x28163,x28164,x28165,x28162)+~E(x28161,x28162)+~P27(x28163,x28164,x28165,x28161) % 169.37/169.12 [2817]~P145(x28171)+P145(x28172)+~E(x28171,x28172) % 169.37/169.12 [2818]~P72(x28181)+P72(x28182)+~E(x28181,x28182) % 169.37/169.12 [2819]P34(x28192,x28193,x28194,x28195)+~E(x28191,x28192)+~P34(x28191,x28193,x28194,x28195) % 169.37/169.12 [2820]P34(x28203,x28202,x28204,x28205)+~E(x28201,x28202)+~P34(x28203,x28201,x28204,x28205) % 169.37/169.12 [2821]P34(x28213,x28214,x28212,x28215)+~E(x28211,x28212)+~P34(x28213,x28214,x28211,x28215) % 169.37/169.12 [2822]P34(x28223,x28224,x28225,x28222)+~E(x28221,x28222)+~P34(x28223,x28224,x28225,x28221) % 169.37/169.12 [2823]~P132(x28231)+P132(x28232)+~E(x28231,x28232) % 169.37/169.12 [2824]~P73(x28241)+P73(x28242)+~E(x28241,x28242) % 169.37/169.12 [2825]~P89(x28251)+P89(x28252)+~E(x28251,x28252) % 169.37/169.12 [2826]~P95(x28261)+P95(x28262)+~E(x28261,x28262) % 169.37/169.12 [2827]~P76(x28271)+P76(x28272)+~E(x28271,x28272) % 169.37/169.12 [2828]~P78(x28281)+P78(x28282)+~E(x28281,x28282) % 169.37/169.12 [2829]P10(x28292,x28293)+~E(x28291,x28292)+~P10(x28291,x28293) % 169.37/169.12 [2830]P10(x28303,x28302)+~E(x28301,x28302)+~P10(x28303,x28301) % 169.37/169.12 [2831]~P141(x28311)+P141(x28312)+~E(x28311,x28312) % 169.37/169.12 [2832]~P8(x28321)+P8(x28322)+~E(x28321,x28322) % 169.37/169.12 [2833]P31(x28332,x28333,x28334)+~E(x28331,x28332)+~P31(x28331,x28333,x28334) % 169.37/169.12 [2834]P31(x28343,x28342,x28344)+~E(x28341,x28342)+~P31(x28343,x28341,x28344) % 169.37/169.12 [2835]P31(x28353,x28354,x28352)+~E(x28351,x28352)+~P31(x28353,x28354,x28351) % 169.37/169.12 [2836]~P77(x28361)+P77(x28362)+~E(x28361,x28362) % 169.37/169.12 [2837]~P85(x28371)+P85(x28372)+~E(x28371,x28372) % 169.37/169.12 [2838]~P96(x28381)+P96(x28382)+~E(x28381,x28382) % 169.37/169.12 [2839]~P111(x28391)+P111(x28392)+~E(x28391,x28392) % 169.37/169.12 [2840]~P86(x28401)+P86(x28402)+~E(x28401,x28402) % 169.37/169.12 [2841]P28(x28412,x28413,x28414,x28415,x28416)+~E(x28411,x28412)+~P28(x28411,x28413,x28414,x28415,x28416) % 169.37/169.12 [2842]P28(x28423,x28422,x28424,x28425,x28426)+~E(x28421,x28422)+~P28(x28423,x28421,x28424,x28425,x28426) % 169.37/169.12 [2843]P28(x28433,x28434,x28432,x28435,x28436)+~E(x28431,x28432)+~P28(x28433,x28434,x28431,x28435,x28436) % 169.37/169.12 [2844]P28(x28443,x28444,x28445,x28442,x28446)+~E(x28441,x28442)+~P28(x28443,x28444,x28445,x28441,x28446) % 169.37/169.12 [2845]P28(x28453,x28454,x28455,x28456,x28452)+~E(x28451,x28452)+~P28(x28453,x28454,x28455,x28456,x28451) % 169.37/169.12 [2846]~P42(x28461)+P42(x28462)+~E(x28461,x28462) % 169.37/169.12 [2847]~P87(x28471)+P87(x28472)+~E(x28471,x28472) % 169.37/169.12 [2848]P62(x28482,x28483)+~E(x28481,x28482)+~P62(x28481,x28483) % 169.37/169.12 [2849]P62(x28493,x28492)+~E(x28491,x28492)+~P62(x28493,x28491) % 169.37/169.12 [2850]~P64(x28501)+P64(x28502)+~E(x28501,x28502) % 169.37/169.12 [2851]~P88(x28511)+P88(x28512)+~E(x28511,x28512) % 169.37/169.12 [2852]~P120(x28521)+P120(x28522)+~E(x28521,x28522) % 169.37/169.12 [2853]~P125(x28531)+P125(x28532)+~E(x28531,x28532) % 169.37/169.12 [2854]~P90(x28541)+P90(x28542)+~E(x28541,x28542) % 169.37/169.12 [2855]~P9(x28551)+P9(x28552)+~E(x28551,x28552) % 169.37/169.12 [2856]~P100(x28561)+P100(x28562)+~E(x28561,x28562) % 169.37/169.12 [2857]P55(x28572,x28573,x28574)+~E(x28571,x28572)+~P55(x28571,x28573,x28574) % 169.37/169.12 [2858]P55(x28583,x28582,x28584)+~E(x28581,x28582)+~P55(x28583,x28581,x28584) % 169.37/169.12 [2859]P55(x28593,x28594,x28592)+~E(x28591,x28592)+~P55(x28593,x28594,x28591) % 169.37/169.12 [2860]P37(x28602,x28603,x28604)+~E(x28601,x28602)+~P37(x28601,x28603,x28604) % 169.37/169.12 [2861]P37(x28613,x28612,x28614)+~E(x28611,x28612)+~P37(x28613,x28611,x28614) % 169.37/169.12 [2862]P37(x28623,x28624,x28622)+~E(x28621,x28622)+~P37(x28623,x28624,x28621) % 169.37/169.12 [2863]~P119(x28631)+P119(x28632)+~E(x28631,x28632) % 169.37/169.12 [2864]P39(x28642,x28643)+~E(x28641,x28642)+~P39(x28641,x28643) % 169.37/169.12 [2865]P39(x28653,x28652)+~E(x28651,x28652)+~P39(x28653,x28651) % 169.37/169.12 [2866]P58(x28662,x28663,x28664)+~E(x28661,x28662)+~P58(x28661,x28663,x28664) % 169.37/169.12 [2867]P58(x28673,x28672,x28674)+~E(x28671,x28672)+~P58(x28673,x28671,x28674) % 169.37/169.12 [2868]P58(x28683,x28684,x28682)+~E(x28681,x28682)+~P58(x28683,x28684,x28681) % 169.37/169.12 [2869]~P127(x28691)+P127(x28692)+~E(x28691,x28692) % 169.37/169.12 [2870]P33(x28702,x28703,x28704)+~E(x28701,x28702)+~P33(x28701,x28703,x28704) % 169.37/169.12 [2871]P33(x28713,x28712,x28714)+~E(x28711,x28712)+~P33(x28713,x28711,x28714) % 169.37/169.12 [2872]P33(x28723,x28724,x28722)+~E(x28721,x28722)+~P33(x28723,x28724,x28721) % 169.37/169.12 [2873]P49(x28732,x28733,x28734)+~E(x28731,x28732)+~P49(x28731,x28733,x28734) % 169.37/169.12 [2874]P49(x28743,x28742,x28744)+~E(x28741,x28742)+~P49(x28743,x28741,x28744) % 169.37/169.12 [2875]P49(x28753,x28754,x28752)+~E(x28751,x28752)+~P49(x28753,x28754,x28751) % 169.37/169.12 [2876]~P146(x28761)+P146(x28762)+~E(x28761,x28762) % 169.37/169.12 [2877]P36(x28772,x28773,x28774,x28775,x28776)+~E(x28771,x28772)+~P36(x28771,x28773,x28774,x28775,x28776) % 169.37/169.12 [2878]P36(x28783,x28782,x28784,x28785,x28786)+~E(x28781,x28782)+~P36(x28783,x28781,x28784,x28785,x28786) % 169.37/169.12 [2879]P36(x28793,x28794,x28792,x28795,x28796)+~E(x28791,x28792)+~P36(x28793,x28794,x28791,x28795,x28796) % 169.37/169.12 [2880]P36(x28803,x28804,x28805,x28802,x28806)+~E(x28801,x28802)+~P36(x28803,x28804,x28805,x28801,x28806) % 169.37/169.12 [2881]P36(x28813,x28814,x28815,x28816,x28812)+~E(x28811,x28812)+~P36(x28813,x28814,x28815,x28816,x28811) % 169.37/169.12 [2882]~P101(x28821)+P101(x28822)+~E(x28821,x28822) % 169.37/169.12 [2883]~P121(x28831)+P121(x28832)+~E(x28831,x28832) % 169.37/169.12 [2884]P30(x28842,x28843)+~E(x28841,x28842)+~P30(x28841,x28843) % 169.37/169.12 [2885]P30(x28853,x28852)+~E(x28851,x28852)+~P30(x28853,x28851) % 169.37/169.12 [2886]~P128(x28861)+P128(x28862)+~E(x28861,x28862) % 169.37/169.12 [2887]~P94(x28871)+P94(x28872)+~E(x28871,x28872) % 169.37/169.12 [2888]~P74(x28881)+P74(x28882)+~E(x28881,x28882) % 169.37/169.12 [2889]P11(x28892,x28893,x28894)+~E(x28891,x28892)+~P11(x28891,x28893,x28894) % 169.37/169.12 [2890]P11(x28903,x28902,x28904)+~E(x28901,x28902)+~P11(x28903,x28901,x28904) % 169.37/169.12 [2891]P11(x28913,x28914,x28912)+~E(x28911,x28912)+~P11(x28913,x28914,x28911) % 169.37/169.12 [2892]P15(x28922,x28923,x28924,x28925,x28926,x28927)+~E(x28921,x28922)+~P15(x28921,x28923,x28924,x28925,x28926,x28927) % 169.37/169.12 [2893]P15(x28933,x28932,x28934,x28935,x28936,x28937)+~E(x28931,x28932)+~P15(x28933,x28931,x28934,x28935,x28936,x28937) % 169.37/169.12 [2894]P15(x28943,x28944,x28942,x28945,x28946,x28947)+~E(x28941,x28942)+~P15(x28943,x28944,x28941,x28945,x28946,x28947) % 169.37/169.12 [2895]P15(x28953,x28954,x28955,x28952,x28956,x28957)+~E(x28951,x28952)+~P15(x28953,x28954,x28955,x28951,x28956,x28957) % 169.37/169.12 [2896]P15(x28963,x28964,x28965,x28966,x28962,x28967)+~E(x28961,x28962)+~P15(x28963,x28964,x28965,x28966,x28961,x28967) % 169.37/169.12 [2897]P15(x28973,x28974,x28975,x28976,x28977,x28972)+~E(x28971,x28972)+~P15(x28973,x28974,x28975,x28976,x28977,x28971) % 169.37/169.12 [2898]~P129(x28981)+P129(x28982)+~E(x28981,x28982) % 169.37/169.12 [2899]P40(x28992,x28993)+~E(x28991,x28992)+~P40(x28991,x28993) % 169.37/169.12 [2900]P40(x29003,x29002)+~E(x29001,x29002)+~P40(x29003,x29001) % 169.37/169.12 [2901]P150(x29012,x29013)+~E(x29011,x29012)+~P150(x29011,x29013) % 169.37/169.12 [2902]P150(x29023,x29022)+~E(x29021,x29022)+~P150(x29023,x29021) % 169.37/169.12 [2903]~P63(x29031)+P63(x29032)+~E(x29031,x29032) % 169.37/169.12 [2904]~P67(x29041)+P67(x29042)+~E(x29041,x29042) % 169.37/169.12 [2905]P32(x29052,x29053,x29054)+~E(x29051,x29052)+~P32(x29051,x29053,x29054) % 169.37/169.12 [2906]P32(x29063,x29062,x29064)+~E(x29061,x29062)+~P32(x29063,x29061,x29064) % 169.37/169.12 [2907]P32(x29073,x29074,x29072)+~E(x29071,x29072)+~P32(x29073,x29074,x29071) % 169.37/169.12 [2908]~P140(x29081)+P140(x29082)+~E(x29081,x29082) % 169.37/169.12 [2909]P35(x29092,x29093,x29094)+~E(x29091,x29092)+~P35(x29091,x29093,x29094) % 169.37/169.12 [2910]P35(x29103,x29102,x29104)+~E(x29101,x29102)+~P35(x29103,x29101,x29104) % 169.37/169.12 [2911]P35(x29113,x29114,x29112)+~E(x29111,x29112)+~P35(x29113,x29114,x29111) % 169.37/169.12 [2912]~P136(x29121)+P136(x29122)+~E(x29121,x29122) % 169.37/169.12 [2913]~P133(x29131)+P133(x29132)+~E(x29131,x29132) % 169.37/169.12 [2914]P22(x29142,x29143,x29144,x29145)+~E(x29141,x29142)+~P22(x29141,x29143,x29144,x29145) % 169.37/169.12 [2915]P22(x29153,x29152,x29154,x29155)+~E(x29151,x29152)+~P22(x29153,x29151,x29154,x29155) % 169.37/169.12 [2916]P22(x29163,x29164,x29162,x29165)+~E(x29161,x29162)+~P22(x29163,x29164,x29161,x29165) % 169.37/169.12 [2917]P22(x29173,x29174,x29175,x29172)+~E(x29171,x29172)+~P22(x29173,x29174,x29175,x29171) % 169.37/169.12 [2918]P18(x29182,x29183)+~E(x29181,x29182)+~P18(x29181,x29183) % 169.37/169.12 [2919]P18(x29193,x29192)+~E(x29191,x29192)+~P18(x29193,x29191) % 169.37/169.12 [2920]~P142(x29201)+P142(x29202)+~E(x29201,x29202) % 169.37/169.12 [2921]~P134(x29211)+P134(x29212)+~E(x29211,x29212) % 169.37/169.12 [2922]P60(x29222,x29223)+~E(x29221,x29222)+~P60(x29221,x29223) % 169.37/169.12 [2923]P60(x29233,x29232)+~E(x29231,x29232)+~P60(x29233,x29231) % 169.37/169.12 [2924]~P113(x29241)+P113(x29242)+~E(x29241,x29242) % 169.37/169.12 [2925]~P144(x29251)+P144(x29252)+~E(x29251,x29252) % 169.37/169.12 [2926]~P98(x29261)+P98(x29262)+~E(x29261,x29262) % 169.37/169.12 [2927]P61(x29272,x29273,x29274,x29275)+~E(x29271,x29272)+~P61(x29271,x29273,x29274,x29275) % 169.37/169.12 [2928]P61(x29283,x29282,x29284,x29285)+~E(x29281,x29282)+~P61(x29283,x29281,x29284,x29285) % 169.37/169.12 [2929]P61(x29293,x29294,x29292,x29295)+~E(x29291,x29292)+~P61(x29293,x29294,x29291,x29295) % 169.37/169.12 [2930]P61(x29303,x29304,x29305,x29302)+~E(x29301,x29302)+~P61(x29303,x29304,x29305,x29301) % 169.37/169.12 [2931]~P84(x29311)+P84(x29312)+~E(x29311,x29312) % 169.37/169.12 [2932]~P137(x29321)+P137(x29322)+~E(x29321,x29322) % 169.37/169.12 [2933]~P38(x29331)+P38(x29332)+~E(x29331,x29332) % 169.37/169.12 [2934]P53(x29342,x29343)+~E(x29341,x29342)+~P53(x29341,x29343) % 169.37/169.12 [2935]P53(x29353,x29352)+~E(x29351,x29352)+~P53(x29353,x29351) % 169.37/169.12 [2936]P29(x29362,x29363)+~E(x29361,x29362)+~P29(x29361,x29363) % 169.37/169.12 [2937]P29(x29373,x29372)+~E(x29371,x29372)+~P29(x29373,x29371) % 169.37/169.12 [2938]~P65(x29381)+P65(x29382)+~E(x29381,x29382) % 169.37/169.12 [2939]~P105(x29391)+P105(x29392)+~E(x29391,x29392) % 169.37/169.12 [2940]~P92(x29401)+P92(x29402)+~E(x29401,x29402) % 169.37/169.12 [2941]~P122(x29411)+P122(x29412)+~E(x29411,x29412) % 169.37/169.12 [2942]P45(x29422,x29423)+~E(x29421,x29422)+~P45(x29421,x29423) % 169.37/169.12 [2943]P45(x29433,x29432)+~E(x29431,x29432)+~P45(x29433,x29431) % 169.37/169.12 [2944]~P139(x29441)+P139(x29442)+~E(x29441,x29442) % 169.37/169.12 [2945]P59(x29452,x29453,x29454,x29455,x29456)+~E(x29451,x29452)+~P59(x29451,x29453,x29454,x29455,x29456) % 169.37/169.12 [2946]P59(x29463,x29462,x29464,x29465,x29466)+~E(x29461,x29462)+~P59(x29463,x29461,x29464,x29465,x29466) % 169.37/169.12 [2947]P59(x29473,x29474,x29472,x29475,x29476)+~E(x29471,x29472)+~P59(x29473,x29474,x29471,x29475,x29476) % 169.37/169.12 [2948]P59(x29483,x29484,x29485,x29482,x29486)+~E(x29481,x29482)+~P59(x29483,x29484,x29485,x29481,x29486) % 169.37/169.12 [2949]P59(x29493,x29494,x29495,x29496,x29492)+~E(x29491,x29492)+~P59(x29493,x29494,x29495,x29496,x29491) % 169.37/169.12 [2950]P23(x29502,x29503,x29504,x29505)+~E(x29501,x29502)+~P23(x29501,x29503,x29504,x29505) % 169.37/169.12 [2951]P23(x29513,x29512,x29514,x29515)+~E(x29511,x29512)+~P23(x29513,x29511,x29514,x29515) % 169.37/169.12 [2952]P23(x29523,x29524,x29522,x29525)+~E(x29521,x29522)+~P23(x29523,x29524,x29521,x29525) % 169.37/169.12 [2953]P23(x29533,x29534,x29535,x29532)+~E(x29531,x29532)+~P23(x29533,x29534,x29535,x29531) % 169.37/169.12 [2954]~P138(x29541)+P138(x29542)+~E(x29541,x29542) % 169.37/169.12 [2955]P24(x29552,x29553,x29554,x29555,x29556)+~E(x29551,x29552)+~P24(x29551,x29553,x29554,x29555,x29556) % 169.37/169.12 [2956]P24(x29563,x29562,x29564,x29565,x29566)+~E(x29561,x29562)+~P24(x29563,x29561,x29564,x29565,x29566) % 169.37/169.12 [2957]P24(x29573,x29574,x29572,x29575,x29576)+~E(x29571,x29572)+~P24(x29573,x29574,x29571,x29575,x29576) % 169.37/169.12 [2958]P24(x29583,x29584,x29585,x29582,x29586)+~E(x29581,x29582)+~P24(x29583,x29584,x29585,x29581,x29586) % 169.37/169.12 [2959]P24(x29593,x29594,x29595,x29596,x29592)+~E(x29591,x29592)+~P24(x29593,x29594,x29595,x29596,x29591) % 169.37/169.12 [2960]P14(x29602,x29603,x29604,x29605)+~E(x29601,x29602)+~P14(x29601,x29603,x29604,x29605) % 169.37/169.12 [2961]P14(x29613,x29612,x29614,x29615)+~E(x29611,x29612)+~P14(x29613,x29611,x29614,x29615) % 169.37/169.12 [2962]P14(x29623,x29624,x29622,x29625)+~E(x29621,x29622)+~P14(x29623,x29624,x29621,x29625) % 169.37/169.12 [2963]P14(x29633,x29634,x29635,x29632)+~E(x29631,x29632)+~P14(x29633,x29634,x29635,x29631) % 169.37/169.12 [2964]~P7(x29641)+P7(x29642)+~E(x29641,x29642) % 169.37/169.12 [2965]~P126(x29651)+P126(x29652)+~E(x29651,x29652) % 169.37/169.12 [2966]P41(x29662,x29663)+~E(x29661,x29662)+~P41(x29661,x29663) % 169.37/169.12 [2967]P41(x29673,x29672)+~E(x29671,x29672)+~P41(x29673,x29671) % 169.37/169.12 [2968]P44(x29682,x29683,x29684,x29685,x29686,x29687)+~E(x29681,x29682)+~P44(x29681,x29683,x29684,x29685,x29686,x29687) % 169.37/169.12 [2969]P44(x29693,x29692,x29694,x29695,x29696,x29697)+~E(x29691,x29692)+~P44(x29693,x29691,x29694,x29695,x29696,x29697) % 169.37/169.12 [2970]P44(x29703,x29704,x29702,x29705,x29706,x29707)+~E(x29701,x29702)+~P44(x29703,x29704,x29701,x29705,x29706,x29707) % 169.37/169.12 [2971]P44(x29713,x29714,x29715,x29712,x29716,x29717)+~E(x29711,x29712)+~P44(x29713,x29714,x29715,x29711,x29716,x29717) % 169.37/169.12 [2972]P44(x29723,x29724,x29725,x29726,x29722,x29727)+~E(x29721,x29722)+~P44(x29723,x29724,x29725,x29726,x29721,x29727) % 169.37/169.12 [2973]P44(x29733,x29734,x29735,x29736,x29737,x29732)+~E(x29731,x29732)+~P44(x29733,x29734,x29735,x29736,x29737,x29731) % 169.37/169.12 [2974]P20(x29742,x29743,x29744)+~E(x29741,x29742)+~P20(x29741,x29743,x29744) % 169.37/169.12 [2975]P20(x29753,x29752,x29754)+~E(x29751,x29752)+~P20(x29753,x29751,x29754) % 169.37/169.12 [2976]P20(x29763,x29764,x29762)+~E(x29761,x29762)+~P20(x29763,x29764,x29761) % 169.37/169.12 [2977]~P115(x29771)+P115(x29772)+~E(x29771,x29772) % 169.37/169.12 [2978]P52(x29782,x29783)+~E(x29781,x29782)+~P52(x29781,x29783) % 169.37/169.12 [2979]P52(x29793,x29792)+~E(x29791,x29792)+~P52(x29793,x29791) % 169.37/169.12 [2980]P26(x29802,x29803,x29804,x29805,x29806,x29807)+~E(x29801,x29802)+~P26(x29801,x29803,x29804,x29805,x29806,x29807) % 169.37/169.12 [2981]P26(x29813,x29812,x29814,x29815,x29816,x29817)+~E(x29811,x29812)+~P26(x29813,x29811,x29814,x29815,x29816,x29817) % 169.37/169.12 [2982]P26(x29823,x29824,x29822,x29825,x29826,x29827)+~E(x29821,x29822)+~P26(x29823,x29824,x29821,x29825,x29826,x29827) % 169.37/169.12 [2983]P26(x29833,x29834,x29835,x29832,x29836,x29837)+~E(x29831,x29832)+~P26(x29833,x29834,x29835,x29831,x29836,x29837) % 169.37/169.12 [2984]P26(x29843,x29844,x29845,x29846,x29842,x29847)+~E(x29841,x29842)+~P26(x29843,x29844,x29845,x29846,x29841,x29847) % 169.37/169.12 [2985]P26(x29853,x29854,x29855,x29856,x29857,x29852)+~E(x29851,x29852)+~P26(x29853,x29854,x29855,x29856,x29857,x29851) % 169.37/169.12 [2986]~P123(x29861)+P123(x29862)+~E(x29861,x29862) % 169.37/169.12 [2987]~P102(x29871)+P102(x29872)+~E(x29871,x29872) % 169.37/169.12 [2988]P21(x29882,x29883,x29884)+~E(x29881,x29882)+~P21(x29881,x29883,x29884) % 169.37/169.12 [2989]P21(x29893,x29892,x29894)+~E(x29891,x29892)+~P21(x29893,x29891,x29894) % 169.37/169.12 [2990]P21(x29903,x29904,x29902)+~E(x29901,x29902)+~P21(x29903,x29904,x29901) % 169.37/169.12 [2991]~P131(x29911)+P131(x29912)+~E(x29911,x29912) % 169.37/169.12 [2992]~P97(x29921)+P97(x29922)+~E(x29921,x29922) % 169.37/169.12 [2993]~P107(x29931)+P107(x29932)+~E(x29931,x29932) % 169.37/169.12 [2994]~P143(x29941)+P143(x29942)+~E(x29941,x29942) % 169.37/169.12 [2995]~P75(x29951)+P75(x29952)+~E(x29951,x29952) % 169.37/169.12 [2996]~P104(x29961)+P104(x29962)+~E(x29961,x29962) % 169.37/169.12 [2997]P25(x29972,x29973,x29974,x29975,x29976,x29977)+~E(x29971,x29972)+~P25(x29971,x29973,x29974,x29975,x29976,x29977) % 169.37/169.12 [2998]P25(x29983,x29982,x29984,x29985,x29986,x29987)+~E(x29981,x29982)+~P25(x29983,x29981,x29984,x29985,x29986,x29987) % 169.37/169.12 [2999]P25(x29993,x29994,x29992,x29995,x29996,x29997)+~E(x29991,x29992)+~P25(x29993,x29994,x29991,x29995,x29996,x29997) % 169.37/169.12 [3000]P25(x30003,x30004,x30005,x30002,x30006,x30007)+~E(x30001,x30002)+~P25(x30003,x30004,x30005,x30001,x30006,x30007) % 169.37/169.12 [3001]P25(x30013,x30014,x30015,x30016,x30012,x30017)+~E(x30011,x30012)+~P25(x30013,x30014,x30015,x30016,x30011,x30017) % 169.37/169.12 [3002]P25(x30023,x30024,x30025,x30026,x30027,x30022)+~E(x30021,x30022)+~P25(x30023,x30024,x30025,x30026,x30027,x30021) % 169.37/169.12 [3003]~P91(x30031)+P91(x30032)+~E(x30031,x30032) % 169.37/169.12 [3004]P46(x30042,x30043)+~E(x30041,x30042)+~P46(x30041,x30043) % 169.37/169.12 [3005]P46(x30053,x30052)+~E(x30051,x30052)+~P46(x30053,x30051) % 169.37/169.12 [3006]~P103(x30061)+P103(x30062)+~E(x30061,x30062) % 169.37/169.12 [3007]~P118(x30071)+P118(x30072)+~E(x30071,x30072) % 169.37/169.12 [3008]P56(x30082,x30083)+~E(x30081,x30082)+~P56(x30081,x30083) % 169.37/169.12 [3009]P56(x30093,x30092)+~E(x30091,x30092)+~P56(x30093,x30091) % 169.37/169.12 [3010]~P93(x30101)+P93(x30102)+~E(x30101,x30102) % 169.37/169.12 [3011]P13(x30112,x30113,x30114,x30115,x30116)+~E(x30111,x30112)+~P13(x30111,x30113,x30114,x30115,x30116) % 169.37/169.12 [3012]P13(x30123,x30122,x30124,x30125,x30126)+~E(x30121,x30122)+~P13(x30123,x30121,x30124,x30125,x30126) % 169.37/169.12 [3013]P13(x30133,x30134,x30132,x30135,x30136)+~E(x30131,x30132)+~P13(x30133,x30134,x30131,x30135,x30136) % 169.37/169.12 [3014]P13(x30143,x30144,x30145,x30142,x30146)+~E(x30141,x30142)+~P13(x30143,x30144,x30145,x30141,x30146) % 169.37/169.12 [3015]P13(x30153,x30154,x30155,x30156,x30152)+~E(x30151,x30152)+~P13(x30153,x30154,x30155,x30156,x30151) % 169.37/169.12 [3016]~P47(x30161)+P47(x30162)+~E(x30161,x30162) % 169.37/169.12 [3017]P43(x30172,x30173,x30174,x30175)+~E(x30171,x30172)+~P43(x30171,x30173,x30174,x30175) % 169.37/169.12 [3018]P43(x30183,x30182,x30184,x30185)+~E(x30181,x30182)+~P43(x30183,x30181,x30184,x30185) % 169.37/169.12 [3019]P43(x30193,x30194,x30192,x30195)+~E(x30191,x30192)+~P43(x30193,x30194,x30191,x30195) % 169.37/169.12 [3020]P43(x30203,x30204,x30205,x30202)+~E(x30201,x30202)+~P43(x30203,x30204,x30205,x30201) % 169.37/169.12 [3021]~P108(x30211)+P108(x30212)+~E(x30211,x30212) % 169.37/169.12 [3022]~P80(x30221)+P80(x30222)+~E(x30221,x30222) % 169.37/169.12 [3023]P48(x30232,x30233)+~E(x30231,x30232)+~P48(x30231,x30233) % 169.37/169.12 [3024]P48(x30243,x30242)+~E(x30241,x30242)+~P48(x30243,x30241) % 169.37/169.12 [3025]~P117(x30251)+P117(x30252)+~E(x30251,x30252) % 169.37/169.12 [3026]P50(x30262,x30263,x30264)+~E(x30261,x30262)+~P50(x30261,x30263,x30264) % 169.37/169.12 [3027]P50(x30273,x30272,x30274)+~E(x30271,x30272)+~P50(x30273,x30271,x30274) % 169.37/169.12 [3028]P50(x30283,x30284,x30282)+~E(x30281,x30282)+~P50(x30283,x30284,x30281) % 169.37/169.12 [3029]~P124(x30291)+P124(x30292)+~E(x30291,x30292) % 169.37/169.12 [3030]~P116(x30301)+P116(x30302)+~E(x30301,x30302) % 169.37/169.12 [3031]P51(x30312,x30313,x30314,x30315)+~E(x30311,x30312)+~P51(x30311,x30313,x30314,x30315) % 169.37/169.12 [3032]P51(x30323,x30322,x30324,x30325)+~E(x30321,x30322)+~P51(x30323,x30321,x30324,x30325) % 169.37/169.12 [3033]P51(x30333,x30334,x30332,x30335)+~E(x30331,x30332)+~P51(x30333,x30334,x30331,x30335) % 169.37/169.12 [3034]P51(x30343,x30344,x30345,x30342)+~E(x30341,x30342)+~P51(x30343,x30344,x30345,x30341) % 169.37/169.12 [3035]P12(x30352,x30353,x30354)+~E(x30351,x30352)+~P12(x30351,x30353,x30354) % 169.37/169.12 [3036]P12(x30363,x30362,x30364)+~E(x30361,x30362)+~P12(x30363,x30361,x30364) % 169.37/169.12 [3037]P12(x30373,x30374,x30372)+~E(x30371,x30372)+~P12(x30373,x30374,x30371) % 169.37/169.12 % 169.37/169.12 %------------------------------------------- % 169.37/169.17 cnf(10401,plain, % 169.37/169.17 (~E(f317(a102,x104011),x104011)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(10411,plain, % 169.37/169.17 (~E(f317(a102,x104111),x104111)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(10424,plain, % 169.37/169.17 (~E(f317(a102,x104241),x104241)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(10429,plain, % 169.37/169.17 (~P1(f317(f317(f162(x104291),f103(x104291)),x104292))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(10432,plain, % 169.37/169.17 (~P1(f317(f317(f162(x104321),f103(x104321)),x104322))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(10435,plain, % 169.37/169.17 (~E(f317(a102,x104351),x104351)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(10438,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x104381),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(10441,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x104411),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(10454,plain, % 169.37/169.17 (~P1(f317(f178(f906(x104541,a894)),x104542))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,3231,3270,3334,3266,3277,3418,4612,10438,4609,4583,4616,10429,4614,3411,4601,4633,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112])). % 169.37/169.17 cnf(10458,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x104581)),x104581))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(10461,plain, % 169.37/169.17 (~E(f317(f317(f141(x104611),x104612),x104613),x104613)), % 169.37/169.17 inference(rename_variables,[],[4588])). % 169.37/169.17 cnf(10467,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x104671),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(10470,plain, % 169.37/169.17 (E(f317(f274(x104701,x104701),f253(x104701,x104702)),x104702)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(10473,plain, % 169.37/169.17 (E(f317(f274(x104731,x104731),f253(x104731,x104732)),x104732)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(10478,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x104781),x104781))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(10482,plain, % 169.37/169.17 (~E(f317(f317(f74(a897),x104821),f317(a102,x104822)),x104822)), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,3231,3395,10470,3270,3334,3266,3294,3277,4588,3418,4612,10438,10441,4609,4583,4616,10429,4608,4617,4614,3411,4601,4633,4631,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191])). % 169.37/169.17 cnf(10483,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x104831),x104832)),x104832))), % 169.37/169.17 inference(rename_variables,[],[4631])). % 169.37/169.17 cnf(10486,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x104861),x104862)),x104862))), % 169.37/169.17 inference(rename_variables,[],[4631])). % 169.37/169.17 cnf(10493,plain, % 169.37/169.17 (~E(x104931,f317(a102,x104931))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,3231,3395,10470,3270,3334,3266,3294,3277,4588,3499,3418,4612,10438,10441,4609,4583,4616,10429,4608,4617,4241,4614,3411,4601,4633,4631,10483,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248])). % 169.37/169.17 cnf(10507,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x105071),x105071))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(10510,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),f40(a897,x105101,x105102)),x105101))), % 169.37/169.17 inference(rename_variables,[],[3882])). % 169.37/169.17 cnf(10531,plain, % 169.37/169.17 (E(f317(f29(a897),f317(f272(a897),x105311)),x105311)), % 169.37/169.17 inference(rename_variables,[],[3329])). % 169.37/169.17 cnf(10539,plain, % 169.37/169.17 (~E(f317(a102,x105391),x105391)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(10542,plain, % 169.37/169.17 (~E(f317(a102,x105421),x105421)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(10545,plain, % 169.37/169.17 (~E(f317(a102,x105451),x105451)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(10547,plain, % 169.37/169.17 (P1(f317(a183,a87))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,3231,3395,10470,3270,3334,3266,3294,3277,3365,4588,3329,4636,3350,3499,3418,4612,10438,10441,4008,3437,4609,4583,4616,10429,4608,10478,10507,3524,3943,3882,4617,10458,4241,4614,4600,3411,4601,4633,4631,10483,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388])). % 169.37/169.17 cnf(10550,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x105501),f317(a102,x105501)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(10559,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x105591),x105591))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(10566,plain, % 169.37/169.17 (E(f317(f274(x105661,x105661),f253(x105661,x105662)),x105662)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(10569,plain, % 169.37/169.17 (E(f317(f274(x105691,x105691),f253(x105691,x105692)),x105692)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(10586,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x105861),x105861))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(10591,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x105911),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(10594,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x105941,a894)),x105942),f232(f906(x105941,a894))))), % 169.37/169.17 inference(rename_variables,[],[3808])). % 169.37/169.17 cnf(10599,plain, % 169.37/169.17 (~P1(f317(f317(f162(x105991),f103(x105991)),x105992))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(10628,plain, % 169.37/169.17 (~E(f317(f317(f141(x106281),x106282),x106283),x106283)), % 169.37/169.17 inference(rename_variables,[],[4588])). % 169.37/169.17 cnf(10631,plain, % 169.37/169.17 (~E(f317(a102,x106311),f2(a897))), % 169.37/169.17 inference(rename_variables,[],[4581])). % 169.37/169.17 cnf(10642,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x106421),x106421))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(10647,plain, % 169.37/169.17 (~E(f317(a102,x106471),x106471)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(10650,plain, % 169.37/169.17 (~P1(f317(f317(f178(f906(x106501,f906(x106502,a894))),x106503),x106504))), % 169.37/169.17 inference(rename_variables,[],[4634])). % 169.37/169.17 cnf(10657,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x106571),x106571))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(10670,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x106701),f317(a102,x106701)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(10691,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x106911,a894)),x106912),f232(f906(x106911,a894))))), % 169.37/169.17 inference(rename_variables,[],[3808])). % 169.37/169.17 cnf(10694,plain, % 169.37/169.17 (~P1(f317(f317(f162(x106941),f103(x106941)),x106942))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(10713,plain, % 169.37/169.17 (~P1(f317(f317(f162(x107131),f103(x107131)),x107132))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(10720,plain, % 169.37/169.17 (~P1(f317(f317(f162(x107201),f103(x107201)),x107202))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(10728,plain, % 169.37/169.17 (E(f317(f317(f234(a897),f317(f94(a897),a87)),x107281),f317(f317(f234(a897),f2(a897)),x107281))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,4581,3231,3395,10470,10473,10566,3270,3334,3266,3294,3277,3896,3365,4588,10461,3329,4200,4636,3350,3790,3499,10550,10670,3418,4612,10438,10441,10467,10591,4624,3864,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,4150,3808,10594,3434,10559,10657,3435,10586,4608,10478,10507,3524,3943,3882,10510,4617,10458,4241,4614,4600,3411,3415,4602,4601,4633,4634,3905,4631,10483,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916])). % 169.37/169.17 cnf(10731,plain, % 169.37/169.17 (~E(f317(a102,x107311),f2(a897))), % 169.37/169.17 inference(rename_variables,[],[4581])). % 169.37/169.17 cnf(10736,plain, % 169.37/169.17 (P1(f317(f317(f319(x107361),x107362),f232(f906(x107361,a894))))), % 169.37/169.17 inference(rename_variables,[],[3582])). % 169.37/169.17 cnf(10743,plain, % 169.37/169.17 (~P1(f317(f317(f162(x107431),f103(x107431)),x107432))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(10748,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x107481),f317(a102,x107481)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(10751,plain, % 169.37/169.17 (~P1(f317(f317(f162(x107511),f103(x107511)),x107512))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(10754,plain, % 169.37/169.17 (~P1(f317(f317(f162(x107541),f103(x107541)),x107542))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(10757,plain, % 169.37/169.17 (~P1(f317(f56(x107571,x107572,f178(f906(x107571,a894))),x107573))), % 169.37/169.17 inference(rename_variables,[],[4630])). % 169.37/169.17 cnf(10760,plain, % 169.37/169.17 (~P1(f317(f56(x107601,x107602,f178(f906(x107601,a894))),x107603))), % 169.37/169.17 inference(rename_variables,[],[4630])). % 169.37/169.17 cnf(10763,plain, % 169.37/169.17 (~P1(f317(f317(f178(f906(x107631,f906(x107632,a894))),x107633),x107634))), % 169.37/169.17 inference(rename_variables,[],[4634])). % 169.37/169.17 cnf(10766,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x107661),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(10771,plain, % 169.37/169.17 (~P1(f317(f317(f162(x107711),f103(x107711)),x107712))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(10782,plain, % 169.37/169.17 (~E(f317(a102,x107821),x107821)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(10800,plain, % 169.37/169.17 (P1(f317(f317(f225(a89),f317(a3,x108001)),f317(a3,f317(a102,x108001))))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,4581,10631,3231,3395,10470,10473,10566,3270,3334,3266,3294,3277,3896,3365,4588,10461,3329,4200,4636,3350,3790,3499,10550,10670,10748,3877,3418,4612,10438,10441,10467,10591,4624,3864,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,4150,3808,10594,3434,10559,10657,3435,10586,4608,10478,10507,3582,3524,3943,3882,10510,4617,10458,4241,4614,4600,3411,3415,4602,4601,4630,10757,4633,4634,10650,3905,4631,10483,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183])). % 169.37/169.17 cnf(10807,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x108071),x108071))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(10810,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x108101),f317(f317(f75(a897),x108101),x108101)))), % 169.37/169.17 inference(rename_variables,[],[3692])). % 169.37/169.17 cnf(10813,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x108131),f317(f317(f75(a897),x108131),x108131)))), % 169.37/169.17 inference(rename_variables,[],[3692])). % 169.37/169.17 cnf(10816,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x108161),f317(a102,f317(f317(f74(a897),x108162),x108161))))), % 169.37/169.17 inference(rename_variables,[],[3875])). % 169.37/169.17 cnf(10821,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x108211),f317(a102,x108211)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(10824,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x108241),f317(a102,x108241)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(10827,plain, % 169.37/169.17 (P1(f317(f317(f319(x108271),x108272),f232(f906(x108271,a894))))), % 169.37/169.17 inference(rename_variables,[],[3582])). % 169.37/169.17 cnf(10846,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x108461)),x108461))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(10849,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x108491)),x108491))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(10852,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x108521),x108522)),x108522))), % 169.37/169.17 inference(rename_variables,[],[4631])). % 169.37/169.17 cnf(10855,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x108551),x108552)),x108552))), % 169.37/169.17 inference(rename_variables,[],[4631])). % 169.37/169.17 cnf(10858,plain, % 169.37/169.17 (P1(f317(f232(f906(x108581,a894)),x108582))), % 169.37/169.17 inference(rename_variables,[],[3492])). % 169.37/169.17 cnf(10861,plain, % 169.37/169.17 (E(f317(f29(a897),f317(f272(a897),x108611)),x108611)), % 169.37/169.17 inference(rename_variables,[],[3329])). % 169.37/169.17 cnf(10864,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x108641),f317(a102,x108641)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(10871,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x108711),x108711))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(10876,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x108761),x108761))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(10879,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x108791,a894)),f317(f162(x108791),f317(f126(x108791,x108792),x108793))),f317(f162(x108791),x108793)))), % 169.37/169.17 inference(rename_variables,[],[4069])). % 169.37/169.17 cnf(10888,plain, % 169.37/169.17 (E(f317(f274(x108881,x108881),f253(x108881,x108882)),x108882)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(10891,plain, % 169.37/169.17 (P1(f317(f232(f906(x108911,a894)),x108912))), % 169.37/169.17 inference(rename_variables,[],[3492])). % 169.37/169.17 cnf(10893,plain, % 169.37/169.17 (P33(x108931,f317(f224(a897),f2(a897)),x108932)), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,4581,10631,3231,3395,10470,10473,10566,10569,3270,3334,3266,3294,3277,3896,3365,4588,10461,3329,10531,4200,4636,3350,3790,3727,3499,10550,10670,10748,10821,10824,3877,3418,4612,10438,10441,10467,10591,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,4069,4150,3808,10594,3434,10559,10657,10807,3435,10586,10642,4608,10478,10507,3582,10736,3492,10858,3524,3943,3882,10510,4617,10458,10846,3455,4241,4614,4600,3411,3415,4602,4601,4630,10757,4635,3692,10810,4633,4634,10650,3905,4631,10483,10486,10852,3875,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420])). % 169.37/169.17 cnf(10894,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),f2(a897)),x108941))), % 169.37/169.17 inference(rename_variables,[],[3455])). % 169.37/169.17 cnf(10897,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x108971,a894)),f178(f906(x108971,a894))),x108972))), % 169.37/169.17 inference(rename_variables,[],[3874])). % 169.37/169.17 cnf(10900,plain, % 169.37/169.17 (P1(f317(f232(f906(x109001,a894)),x109002))), % 169.37/169.17 inference(rename_variables,[],[3492])). % 169.37/169.17 cnf(10903,plain, % 169.37/169.17 (P1(f317(f232(f906(x109031,a894)),x109032))), % 169.37/169.17 inference(rename_variables,[],[3492])). % 169.37/169.17 cnf(10906,plain, % 169.37/169.17 (P1(f317(f232(f906(x109061,a894)),x109062))), % 169.37/169.17 inference(rename_variables,[],[3492])). % 169.37/169.17 cnf(10908,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(f317(f75(a897),f317(a102,x109081)),f317(a102,x109081))),x109081))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,4581,10631,3231,3395,10470,10473,10566,10569,3270,3334,3266,3294,3277,3896,3365,4588,10461,3329,10531,4200,4636,3350,3790,3727,3499,10550,10670,10748,10821,10824,3877,3418,4612,10438,10441,10467,10591,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,4069,4150,3808,10594,3434,10559,10657,10807,3435,10586,10642,4608,10478,10507,3582,10736,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,3455,4241,4614,4600,3411,3415,4602,4601,4630,10757,4635,3874,3692,10810,10813,4633,4634,10650,3905,4631,10483,10486,10852,3875,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431])). % 169.37/169.17 cnf(10909,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x109091),f317(f317(f75(a897),x109091),x109091)))), % 169.37/169.17 inference(rename_variables,[],[3692])). % 169.37/169.17 cnf(10913,plain, % 169.37/169.17 (E(f317(f158(x109131),f163(x109132,f317(f317(f124(x109131),f317(f158(x109131),x109133)),f317(f317(f141(x109131),x109134),f103(x109131))),f103(x109132))),f317(f317(f141(x109131),x109134),x109133))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3365,4588,10461,3329,10531,4200,4636,3350,3790,3727,3499,10550,10670,10748,10821,10824,3877,3418,4612,10438,10441,10467,10591,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,4069,4150,3808,10594,3434,10559,10657,10807,3435,10586,10642,4608,10478,10507,3582,10736,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,3455,4241,4614,4600,3411,3415,4602,4601,4630,10757,4635,3874,3692,10810,10813,4633,4634,10650,3905,4631,10483,10486,10852,3875,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470])). % 169.37/169.17 cnf(10918,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,f317(a102,f317(f317(f74(a897),x109181),x109182)))),f317(a102,x109182)))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3365,4588,10461,3329,10531,4200,4636,3350,3790,3727,3499,10550,10670,10748,10821,10824,10864,3877,3418,4612,10438,10441,10467,10591,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,4069,4150,3808,10594,3434,10559,10657,10807,3435,10586,10642,4608,10478,10507,3582,10736,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,3455,4241,4614,4600,3411,3415,4602,4601,4630,10757,4635,3874,3692,10810,10813,4633,4634,10650,3905,4631,10483,10486,10852,3875,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474])). % 169.37/169.17 cnf(10926,plain, % 169.37/169.17 (~P1(f317(f317(f225(a89),f317(a3,x109261)),f317(a3,f2(a897))))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3365,4588,10461,3329,10531,4200,4636,3350,3790,3727,3499,10550,10670,10748,10821,10824,10864,3877,3418,4612,10438,10441,10467,10591,10766,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,4069,4150,3808,10594,3434,10559,10657,10807,3435,10586,10642,4608,10478,10507,3582,10736,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,4241,4614,4600,3411,3415,4602,4601,4630,10757,4635,3874,3692,10810,10813,4633,4634,10650,3905,4631,10483,10486,10852,3875,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479])). % 169.37/169.17 cnf(10949,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x109491),x109491))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(10960,plain, % 169.37/169.17 (~P1(f317(f317(f162(x109601),f103(x109601)),x109602))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(10967,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x109671),f317(a102,x109671)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(10969,plain, % 169.37/169.17 (P1(f317(f317(f225(a1),f317(f317(f23(a1),x109691),f72(a1))),x109691))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3365,4588,10461,3329,10531,4200,4060,4636,3350,3790,3727,3499,10550,10670,10748,10821,10824,10864,3877,3418,4612,10438,10441,10467,10591,10766,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,4069,4150,3808,10594,3434,10559,10657,10807,10871,10949,3435,10586,10642,10876,4608,10478,10507,3582,10736,4620,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,4241,4614,4600,4603,3411,3415,4602,4601,4630,10757,4635,3874,3692,10810,10813,4633,4634,10650,3905,4631,10483,10486,10852,3875,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748])). % 169.37/169.17 cnf(10970,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x109701),x109701))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(10975,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x109751),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(10990,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x109901),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(10993,plain, % 169.37/169.17 (~P1(f317(f317(f225(f906(x109931,a894)),x109932),f178(f906(x109931,a894))))), % 169.37/169.17 inference(rename_variables,[],[4628])). % 169.37/169.17 cnf(10996,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x109961),x109961))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(10999,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x109991),x109991))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(11013,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x110131),f317(f317(f23(a897),x110131),x110132)))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3365,4588,10461,3329,10531,4200,4060,4636,3350,3790,3727,3499,10550,10670,10748,10821,10824,10864,3877,3418,4612,10438,10441,10467,10591,10766,10975,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,4162,4069,4150,3808,10594,4628,3434,10559,10657,10807,10871,10949,10996,10999,3435,10586,10642,10876,3436,4608,10478,10507,3582,10736,4620,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,4241,4614,4600,4603,3411,3415,4602,4601,4630,10757,4635,3874,3692,10810,10813,4633,4634,10650,3905,4631,10483,10486,10852,3875,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914])). % 169.37/169.17 cnf(11014,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x110141),x110141))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(11023,plain, % 169.37/169.17 (~P1(f317(f317(f319(x110231),x110232),f178(f906(x110231,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11030,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x110301),x110301))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(11033,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x110331,a894)),f317(f300(x110332,x110331,x110333),f317(f301(x110332,x110331,x110333),x110334))),x110334))), % 169.37/169.17 inference(rename_variables,[],[4296])). % 169.37/169.17 cnf(11042,plain, % 169.37/169.17 (E(f317(f300(x110421,x110421,f5(x110421)),x110422),x110422)), % 169.37/169.17 inference(rename_variables,[],[3488])). % 169.37/169.17 cnf(11047,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),f2(a897)),x110471))), % 169.37/169.17 inference(rename_variables,[],[3455])). % 169.37/169.17 cnf(11050,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x110501),x110501))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(11053,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x110531),x110531))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(11062,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x110621),x110621))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(11073,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x110731),f317(f317(f75(a897),x110731),x110731)))), % 169.37/169.17 inference(rename_variables,[],[3692])). % 169.37/169.17 cnf(11079,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x110791),f317(a102,f317(f317(f74(a897),x110792),x110791))))), % 169.37/169.17 inference(rename_variables,[],[3875])). % 169.37/169.17 cnf(11086,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x110861),x110861))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(11089,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x110891),x110891))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(11092,plain, % 169.37/169.17 (~E(f317(a102,x110921),x110921)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11096,plain, % 169.37/169.17 (P1(f317(f317(f319(f905(x110961,x110961)),x110962),f297(x110961,f232(f906(f905(x110961,x110961),a894)))))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3488,3365,4588,10461,3329,10531,4200,4060,4636,3350,3626,3790,3727,3499,10550,10670,10748,10821,10824,10864,10967,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,4162,4069,4150,3808,10594,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,4620,11023,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,10894,4241,4614,4600,4603,3411,3415,4602,4601,4630,10757,4635,3874,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573])). % 169.37/169.17 cnf(11097,plain, % 169.37/169.17 (P1(f317(f317(f319(x110971),x110972),f232(f906(x110971,a894))))), % 169.37/169.17 inference(rename_variables,[],[3582])). % 169.37/169.17 cnf(11102,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x111021),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(11117,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),f2(a897)),x111171))), % 169.37/169.17 inference(rename_variables,[],[3455])). % 169.37/169.17 cnf(11124,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x111241),x111241))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(11133,plain, % 169.37/169.17 (~P1(f317(f317(f319(x111331),x111332),f178(f906(x111331,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11135,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x111351,a894)),f32(f906(x111351,a894),f317(f298(x111351),x111352))),x111352))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3488,3365,4588,10461,3329,10531,4200,4060,4636,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,4162,4069,10879,3791,4150,3808,10594,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,4620,11023,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,10894,11047,4241,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,3874,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904])). % 169.37/169.17 cnf(11137,plain, % 169.37/169.17 (E(f317(f317(f92(f906(x111371,a894)),f317(f317(f92(f906(x111371,a894)),x111372),f317(f73(f906(x111371,a894)),x111373))),x111373),f178(f906(x111371,a894)))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3488,3365,4588,10461,3329,10531,4200,4060,4636,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,4162,4069,10879,3791,4150,3808,10594,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,4620,11023,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,10894,11047,4241,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,3874,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906])). % 169.37/169.17 cnf(11140,plain, % 169.37/169.17 (P1(f317(f317(f319(f898(x111401)),x111402),f151(x111401,f232(f906(x111401,a894)))))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3488,3365,4588,10461,3329,10531,4200,4060,4636,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,4162,4069,10879,3791,4150,3808,10594,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,4620,11023,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,10894,11047,4241,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,3874,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916])). % 169.37/169.17 cnf(11141,plain, % 169.37/169.17 (P1(f317(f317(f319(x111411),x111412),f232(f906(x111411,a894))))), % 169.37/169.17 inference(rename_variables,[],[3582])). % 169.37/169.17 cnf(11144,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x111441),f898(x111441))),f317(f317(f242(f898(x111441),f898(x111441)),x111442),f103(x111441))),f135(x111441,x111443)))), % 169.37/169.17 inference(rename_variables,[],[4636])). % 169.37/169.17 cnf(11150,plain, % 169.37/169.17 (P33(x111501,f317(f277(a897),f317(a102,f2(a897))),x111502)), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3488,3365,4588,10461,3329,10531,4200,4060,4636,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,4162,4069,10879,3791,4150,3808,10594,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,4620,11023,11133,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,10894,11047,4241,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,3874,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017])). % 169.37/169.17 cnf(11153,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(x111531,x111531)),x111532),f253(x111531,f178(f906(x111531,a894)))))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3488,3365,4588,10461,3329,10531,4200,4060,4636,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,4162,4069,10879,3791,4150,3808,10594,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,4620,11023,11133,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,10894,11047,4241,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,3874,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050])). % 169.37/169.17 cnf(11154,plain, % 169.37/169.17 (~P1(f317(f317(f319(x111541),x111542),f178(f906(x111541,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11156,plain, % 169.37/169.17 (~P1(f317(f317(f319(x111561),x111562),f317(f301(x111561,x111563,x111564),f178(f906(x111563,a894)))))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,4581,10631,3231,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3488,3365,4588,10461,3329,10531,4200,4060,4636,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,4162,4069,10879,3791,4150,3808,10594,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,4620,11023,11133,11154,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,10894,11047,4241,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,3874,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081])). % 169.37/169.17 cnf(11157,plain, % 169.37/169.17 (~P1(f317(f317(f319(x111571),x111572),f178(f906(x111571,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11160,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x111601,a894)),x111602),f317(f317(f299(x111601),x111603),x111602)))), % 169.37/169.17 inference(rename_variables,[],[3872])). % 169.37/169.17 cnf(11163,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x111631),x111631))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(11166,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x111661,a894)),x111662),f317(f317(f299(x111661),x111663),x111662)))), % 169.37/169.17 inference(rename_variables,[],[3872])). % 169.37/169.17 cnf(11169,plain, % 169.37/169.17 (E(f317(f300(x111691,x111691,f5(x111691)),x111692),x111692)), % 169.37/169.17 inference(rename_variables,[],[3488])). % 169.37/169.17 cnf(11171,plain, % 169.37/169.17 (P36(x111711,x111712,x111713,f104(x111711,f103(x111711)),f103(x111712))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,4581,10631,3231,3280,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3488,11042,3365,4588,10461,3329,10531,4200,4060,4636,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,4162,4069,10879,3791,4150,3808,10594,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,4620,11023,11133,11154,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,10894,11047,4241,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,3872,11160,3874,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187])). % 169.37/169.17 cnf(11184,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x111841,a894)),x111842),f317(f317(f299(x111841),x111843),x111842)))), % 169.37/169.17 inference(rename_variables,[],[3872])). % 169.37/169.17 cnf(11195,plain, % 169.37/169.17 (~E(f317(a102,x111951),f2(a897))), % 169.37/169.17 inference(rename_variables,[],[4581])). % 169.37/169.17 cnf(11198,plain, % 169.37/169.17 (~P1(f317(f317(f162(x111981),f103(x111981)),x111982))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(11202,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(a897,a897)),f317(f317(f242(a897,a897),f317(a102,x112021)),x112021)),f297(a897,a307)))), % 169.37/169.17 inference(scs_inference,[],[4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,4581,10631,10731,3231,3280,3395,10470,10473,10566,10569,3372,3270,3334,3266,3294,3277,3896,3488,11042,3365,4588,10461,3329,10531,4200,4060,4636,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,4162,4069,10879,3791,4150,3808,10594,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,4620,11023,11133,11154,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,10894,11047,4241,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,4026,3872,11160,11166,3874,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509])). % 169.37/169.17 cnf(11211,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x112111),f317(a102,x112111)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(11221,plain, % 169.37/169.17 (~E(f317(f300(x112211,f906(x112211,a894),x112212),x112213),f317(f298(x112211),x112213))), % 169.37/169.17 inference(rename_variables,[],[4618])). % 169.37/169.17 cnf(11224,plain, % 169.37/169.17 (~P1(f317(f317(f319(x112241),x112242),f178(f906(x112241,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11227,plain, % 169.37/169.17 (~P1(f317(f317(f319(x112271),x112272),f178(f906(x112271,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11230,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(x112301,x112301)),f317(f317(f242(x112301,x112301),x112302),x112303)),f143(x112301,f103(f906(x112301,a897)))))), % 169.37/169.17 inference(rename_variables,[],[4635])). % 169.37/169.17 cnf(11233,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(x112331,x112331)),f317(f317(f242(x112331,x112331),x112332),x112333)),f143(x112331,f103(f906(x112331,a897)))))), % 169.37/169.17 inference(rename_variables,[],[4635])). % 169.37/169.17 cnf(11238,plain, % 169.37/169.17 (~P1(f317(f317(f319(x112381),x112382),f178(f906(x112381,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11241,plain, % 169.37/169.17 (P1(f317(f317(f319(f905(x112411,x112411)),f317(f317(f242(x112411,x112411),x112412),x112412)),f297(x112411,x112413)))), % 169.37/169.17 inference(rename_variables,[],[4060])). % 169.37/169.17 cnf(11244,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x112441,a894)),f317(f162(x112441),f166(x112441,x112442,x112443))),f317(f162(x112441),x112442)))), % 169.37/169.17 inference(rename_variables,[],[4116])). % 169.37/169.17 cnf(11247,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x112471,a894)),x112472),f232(f906(x112471,a894))))), % 169.37/169.17 inference(rename_variables,[],[3808])). % 169.37/169.17 cnf(11263,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x112631,a894)),f178(f906(x112631,a894))),x112632))), % 169.37/169.17 inference(rename_variables,[],[3874])). % 169.37/169.17 cnf(11274,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x112741),f898(x112741))),f317(f317(f242(f898(x112741),f898(x112741)),x112742),f103(x112741))),f137(x112741,x112743)))), % 169.37/169.17 inference(rename_variables,[],[4637])). % 169.37/169.17 cnf(11285,plain, % 169.37/169.17 (~E(f317(a102,x112851),x112851)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11288,plain, % 169.37/169.17 (~E(f317(a102,x112881),x112881)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11292,plain, % 169.37/169.17 (P1(f317(f317(f319(f905(f898(x112921),f898(x112921))),f317(f317(f242(f898(x112921),f898(x112921)),f103(x112921)),f103(x112921))),f317(f317(f279(f898(x112921),f898(x112921),f898(x112921)),f148(x112921,x112922)),f297(f898(x112921),f148(x112921,x112922)))))), % 169.37/169.17 inference(scs_inference,[],[4613,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,4581,10631,10731,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,3329,10531,4200,4060,11241,4636,11144,4637,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,4162,4069,10879,4116,3791,4150,3808,10594,10691,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,4620,11023,11133,11154,11157,11224,11227,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,10894,11047,4241,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,4026,3872,11160,11166,3874,10897,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737])). % 169.37/169.17 cnf(11295,plain, % 169.37/169.17 (~E(f317(a102,x112951),f2(a897))), % 169.37/169.17 inference(rename_variables,[],[4581])). % 169.37/169.17 cnf(11297,plain, % 169.37/169.17 (E(f317(x112971,f317(f85(x112972,x112973,f232(f906(x112972,a894)),x112971),f317(x112971,x112974))),f317(x112971,x112974))), % 169.37/169.17 inference(scs_inference,[],[4613,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,3329,10531,4200,4060,11241,4636,11144,4637,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,4162,4069,10879,4116,3791,4150,3808,10594,10691,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,4620,11023,11133,11154,11157,11224,11227,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,3455,10894,11047,4241,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,4026,3872,11160,11166,3874,10897,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751])). % 169.37/169.17 cnf(11306,plain, % 169.37/169.17 (~E(f317(a102,x113061),x113061)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11309,plain, % 169.37/169.17 (~E(f317(a102,x113091),x113091)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11314,plain, % 169.37/169.17 (P27(x113141,x113141,f5(x113141),x113142)), % 169.37/169.17 inference(rename_variables,[],[3667])). % 169.37/169.17 cnf(11319,plain, % 169.37/169.17 (~E(f317(f300(x113191,f906(x113191,a894),x113192),x113193),f317(f298(x113191),x113193))), % 169.37/169.17 inference(rename_variables,[],[4618])). % 169.37/169.17 cnf(11324,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x113241,a894)),x113242),f232(f906(x113241,a894))))), % 169.37/169.17 inference(rename_variables,[],[3808])). % 169.37/169.17 cnf(11340,plain, % 169.37/169.17 (~P1(f317(f317(f319(x113401),x113402),f178(f906(x113401,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11343,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x113431)),x113431))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(11348,plain, % 169.37/169.17 (~P1(f317(f317(f319(x113481),x113482),f178(f906(x113481,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11358,plain, % 169.37/169.17 (~P1(f317(f317(f319(a897),f317(a102,f317(f132(a897,a897,f74(a897),f2(a897)),x113581))),f317(f162(a897),x113581)))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,11221,3535,3329,10531,4200,4060,11241,4636,11144,4637,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,4628,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,4620,11023,11133,11154,11157,11224,11227,11238,11340,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,11343,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,4026,3872,11160,11166,3874,10897,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974])). % 169.37/169.17 cnf(11359,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x113591)),x113591))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(11362,plain, % 169.37/169.17 (~P1(f317(f317(f319(x113621),x113622),f178(f906(x113621,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11371,plain, % 169.37/169.17 (P1(f317(f317(f319(f905(x113711,x113711)),f317(f317(f242(x113711,x113711),x113712),x113712)),f297(x113711,x113713)))), % 169.37/169.17 inference(rename_variables,[],[4060])). % 169.37/169.17 cnf(11374,plain, % 169.37/169.17 (P1(f317(f317(f319(x113741),x113742),f232(f906(x113741,a894))))), % 169.37/169.17 inference(rename_variables,[],[3582])). % 169.37/169.17 cnf(11377,plain, % 169.37/169.17 (P1(f317(f317(f319(x113771),x113772),f232(f906(x113771,a894))))), % 169.37/169.17 inference(rename_variables,[],[3582])). % 169.37/169.17 cnf(11384,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x113841),f898(x113841))),f317(f317(f242(f898(x113841),f898(x113841)),x113842),f103(x113841))),f135(x113841,x113843)))), % 169.37/169.17 inference(rename_variables,[],[4636])). % 169.37/169.17 cnf(11387,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x113871),f898(x113871))),f317(f317(f242(f898(x113871),f898(x113871)),x113872),f103(x113871))),f137(x113871,x113873)))), % 169.37/169.17 inference(rename_variables,[],[4637])). % 169.37/169.17 cnf(11390,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x113901),f898(x113901))),f317(f317(f242(f898(x113901),f898(x113901)),x113902),f103(x113901))),f147(x113901,x113903)))), % 169.37/169.17 inference(rename_variables,[],[4638])). % 169.37/169.17 cnf(11395,plain, % 169.37/169.17 (~P1(f317(f317(f225(f906(x113951,a894)),x113952),f178(f906(x113951,a894))))), % 169.37/169.17 inference(rename_variables,[],[4628])). % 169.37/169.17 cnf(11397,plain, % 169.37/169.17 (~P1(f317(f317(f319(x113971),x113972),f317(f300(x113973,x113971,x113974),f178(f906(x113973,a894)))))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,11221,3535,3329,10531,4200,4060,11241,4636,11144,11384,4637,11274,4638,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,4628,10993,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,11343,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,4026,3872,11160,11166,3874,10897,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214])). % 169.37/169.17 cnf(11398,plain, % 169.37/169.17 (~P1(f317(f317(f319(x113981),x113982),f178(f906(x113981,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11402,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x114021,a894)),x114022),f317(f317(f91(f906(x114021,a894)),x114023),f232(f906(x114021,a894)))))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,11221,3535,3329,10531,4200,4060,11241,4636,11144,11384,4637,11274,4638,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,4628,10993,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,11343,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,4026,3872,11160,11166,3874,10897,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243])). % 169.37/169.17 cnf(11403,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x114031,a894)),x114032),f232(f906(x114031,a894))))), % 169.37/169.17 inference(rename_variables,[],[3808])). % 169.37/169.17 cnf(11407,plain, % 169.37/169.17 (~P1(f317(f317(f245(x114071,x114072,a894,f317(f162(x114073),f103(x114073))),x114074),x114075))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,11221,3535,3329,10531,4200,4060,11241,4636,11144,11384,4637,11274,4638,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,4628,10993,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,11343,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,4026,3872,11160,11166,3874,10897,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353])). % 169.37/169.17 cnf(11408,plain, % 169.37/169.17 (~P1(f317(f317(f162(x114081),f103(x114081)),x114082))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(11413,plain, % 169.37/169.17 (~P1(f317(f317(f319(x114131),x114132),f178(f906(x114131,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11416,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(x114161,x114161)),f317(f317(f242(x114161,x114161),x114162),x114163)),f143(x114161,f103(f906(x114161,a897)))))), % 169.37/169.17 inference(rename_variables,[],[4635])). % 169.37/169.17 cnf(11421,plain, % 169.37/169.17 (~P1(f317(f317(f319(x114211),x114212),f178(f906(x114211,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11424,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x114241,a894)),f178(f906(x114241,a894))),x114242))), % 169.37/169.17 inference(rename_variables,[],[3874])). % 169.37/169.17 cnf(11427,plain, % 169.37/169.17 (P1(f317(f317(f319(f905(x114271,x114271)),f317(f317(f242(x114271,x114271),x114272),x114272)),f297(x114271,x114273)))), % 169.37/169.17 inference(rename_variables,[],[4060])). % 169.37/169.17 cnf(11429,plain, % 169.37/169.17 (~P36(x114291,x114292,x114293,f317(f317(f144(x114294,x114291),x114295),f317(a102,f103(x114294))),f103(x114292))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,11221,3535,3329,10531,4200,4060,11241,11371,4636,11144,11384,4637,11274,4638,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,4628,10993,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,11343,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,11233,4026,3872,11160,11166,3874,10897,11263,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430])). % 169.37/169.17 cnf(11433,plain, % 169.37/169.17 (P36(x114331,x114332,x114333,f317(f317(f144(x114334,x114331),x114335),f104(x114334,f103(x114334))),f103(x114332))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,11221,3535,3329,10531,4200,4060,11241,11371,4636,11144,11384,4637,11274,4638,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,4628,10993,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,11343,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,11233,4026,3872,11160,11166,3874,10897,11263,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453])). % 169.37/169.17 cnf(11437,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x114371),f898(x114371))),f317(f317(f242(f898(x114371),f898(x114371)),x114372),f103(x114371))),f317(f276(f898(x114371),f898(x114371)),f147(x114371,x114373))))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,11221,3535,3329,10531,4200,4060,11241,11371,4636,11144,11384,4637,11274,4638,11390,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,4628,10993,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,11343,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,11233,4026,3872,11160,11166,3874,10897,11263,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544])). % 169.37/169.17 cnf(11438,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x114381),f898(x114381))),f317(f317(f242(f898(x114381),f898(x114381)),x114382),f103(x114381))),f147(x114381,x114383)))), % 169.37/169.17 inference(rename_variables,[],[4638])). % 169.37/169.17 cnf(11445,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x114451),f898(x114451))),f317(f317(f242(f898(x114451),f898(x114451)),f103(x114451)),x114452)),f135(x114451,x114453)))), % 169.37/169.17 inference(rename_variables,[],[4639])). % 169.37/169.17 cnf(11450,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f906(x114501,a894),f906(x114501,a894))),f317(f317(f242(f906(x114501,a894),f906(x114501,a894)),x114502),f178(f906(x114501,a894)))),f304(x114501)))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,11221,3535,3329,10531,4200,4060,11241,11371,4636,11144,11384,4637,11274,4638,11390,4639,4640,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,11343,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,11233,4026,3872,11160,11166,3874,10897,11263,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591])). % 169.37/169.17 cnf(11453,plain, % 169.37/169.17 (P1(f317(f317(f319(x114531),x114532),f232(f906(x114531,a894))))), % 169.37/169.17 inference(rename_variables,[],[3582])). % 169.37/169.17 cnf(11458,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x114581,a894)),f178(f906(x114581,a894))),x114582))), % 169.37/169.17 inference(rename_variables,[],[3874])). % 169.37/169.17 cnf(11461,plain, % 169.37/169.17 (~P1(f317(f317(f319(x114611),x114612),f178(f906(x114611,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11464,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x114641,a894)),x114642),f232(f906(x114641,a894))))), % 169.37/169.17 inference(rename_variables,[],[3808])). % 169.37/169.17 cnf(11468,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x114681,a894)),f317(f275(x114682,x114681,x114683),f178(f906(x114682,a894)))),x114684))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,11221,3535,3329,10531,4200,4060,11241,11371,4636,11144,11384,4637,11274,4638,11390,4639,4640,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,11377,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,11343,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,11233,4026,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,4204,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701])). % 169.37/169.17 cnf(11469,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x114691,a894)),f178(f906(x114691,a894))),x114692))), % 169.37/169.17 inference(rename_variables,[],[3874])). % 169.37/169.17 cnf(11471,plain, % 169.37/169.17 (~P1(f317(f60(a897,x114711,x114712,x114713,f232(f906(a897,a894))),x114714))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,4618,11221,3535,3329,10531,4200,4060,11241,11371,4636,11144,11384,4637,11274,4638,11390,4639,4640,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,11377,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,3492,10858,10891,10900,10903,3524,3943,3882,10510,4617,10458,10846,10849,11343,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,11233,4026,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,4204,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722])). % 169.37/169.17 cnf(11482,plain, % 169.37/169.17 (P1(f317(f232(f906(x114821,a894)),x114822))), % 169.37/169.17 inference(rename_variables,[],[3492])). % 169.37/169.17 cnf(11490,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x114901),f898(x114901))),f317(f317(f242(f898(x114901),f898(x114901)),x114902),f103(x114901))),f135(x114901,x114903)))), % 169.37/169.17 inference(rename_variables,[],[4636])). % 169.37/169.17 cnf(11493,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x114931),f898(x114931))),f317(f317(f242(f898(x114931),f898(x114931)),x114932),f103(x114931))),f137(x114931,x114933)))), % 169.37/169.17 inference(rename_variables,[],[4637])). % 169.37/169.17 cnf(11496,plain, % 169.37/169.17 (~E(f317(f317(f141(x114961),x114962),x114963),x114963)), % 169.37/169.17 inference(rename_variables,[],[4588])). % 169.37/169.17 cnf(11499,plain, % 169.37/169.17 (~E(f317(a102,x114991),x114991)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11502,plain, % 169.37/169.17 (~P1(f317(f317(f319(x115021),x115022),f178(f906(x115021,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11507,plain, % 169.37/169.17 (~P1(f317(f317(f319(x115071),x115072),f178(f906(x115071,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11510,plain, % 169.37/169.17 (~P1(f317(f317(f319(x115101),x115102),f178(f906(x115101,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11513,plain, % 169.37/169.17 (P1(f317(f317(f319(f905(f898(x115131),f898(x115131))),f317(f317(f242(f898(x115131),f898(x115131)),x115132),x115132)),f148(x115131,f297(x115131,x115133))))), % 169.37/169.17 inference(rename_variables,[],[4193])). % 169.37/169.17 cnf(11516,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x115161),f898(x115161))),f317(f317(f242(f898(x115161),f898(x115161)),x115162),f103(x115161))),f135(x115161,x115163)))), % 169.37/169.17 inference(rename_variables,[],[4636])). % 169.37/169.17 cnf(11526,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(x115261,x115261)),f317(f317(f242(x115261,x115261),x115262),x115263)),f143(x115261,f103(f906(x115261,a897)))))), % 169.37/169.17 inference(rename_variables,[],[4635])). % 169.37/169.17 cnf(11529,plain, % 169.37/169.17 (~P1(f317(f317(f319(x115291),x115292),f178(f906(x115291,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11532,plain, % 169.37/169.17 (~P1(f317(f317(f319(x115321),x115322),f178(f906(x115321,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11535,plain, % 169.37/169.17 (P1(f317(f317(f319(x115351),x115352),f232(f906(x115351,a894))))), % 169.37/169.17 inference(rename_variables,[],[3582])). % 169.37/169.17 cnf(11538,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x115381),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(11543,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(x115431,x115431)),f317(f317(f242(x115431,x115431),x115432),x115433)),f143(x115431,f103(f906(x115431,a897)))))), % 169.37/169.17 inference(rename_variables,[],[4635])). % 169.37/169.17 cnf(11552,plain, % 169.37/169.17 (~E(f317(f300(x115521,f906(x115521,a894),x115522),x115523),f317(f298(x115521),x115523))), % 169.37/169.17 inference(rename_variables,[],[4618])). % 169.37/169.17 cnf(11555,plain, % 169.37/169.17 (~E(f317(f300(x115551,f906(x115551,a894),x115552),x115553),f317(f298(x115551),x115553))), % 169.37/169.17 inference(rename_variables,[],[4618])). % 169.37/169.17 cnf(11560,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x115601),f898(x115601))),f317(f317(f242(f898(x115601),f898(x115601)),x115602),f103(x115601))),f135(x115601,x115603)))), % 169.37/169.17 inference(rename_variables,[],[4636])). % 169.37/169.17 cnf(11566,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(f898(x115661),f898(x115661))),f317(f317(f242(f898(x115661),f898(x115661)),x115662),f103(x115661))),f135(x115661,x115663)))), % 169.37/169.17 inference(rename_variables,[],[4636])). % 169.37/169.17 cnf(11569,plain, % 169.37/169.17 (~P1(f317(f317(f319(x115691),x115692),f178(f906(x115691,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11571,plain, % 169.37/169.17 (P1(f317(f317(f319(f905(x115711,x115712)),f317(f317(f242(x115711,x115712),f317(x115713,x115714)),f317(x115715,x115714))),f317(f300(f905(x115716,x115716),f905(x115711,x115712),f248(x115716,x115711,x115716,x115712,x115713,x115715)),f297(x115716,x115717))))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,4581,10631,10731,11195,3231,3280,3395,10470,10473,10566,10569,3372,3884,3270,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,10628,4618,11221,11319,11552,3535,3329,10531,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,4612,10438,10441,10467,10591,10766,10975,10990,11102,4624,3864,3635,4008,3461,3463,3437,4609,4583,4193,11513,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,11377,11453,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,3492,10858,10891,10900,10903,10906,3524,3943,3882,10510,4617,10458,10846,10849,11343,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4630,10757,4635,11230,11233,11416,11526,4026,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,4204,3905,4631,10483,10486,10852,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213])). % 169.37/169.17 cnf(11574,plain, % 169.37/169.17 (~P1(f317(f317(f319(x115741),x115742),f178(f906(x115741,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11577,plain, % 169.37/169.17 (~P1(f317(f317(f319(x115771),x115772),f178(f906(x115771,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11580,plain, % 169.37/169.17 (~P1(f317(f317(f319(x115801),x115802),f178(f906(x115801,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11583,plain, % 169.37/169.17 (~P1(f317(f317(f319(x115831),x115832),f178(f906(x115831,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11586,plain, % 169.37/169.17 (P1(f317(f317(f319(x115861),f317(x115862,x115863)),f317(f300(x115864,x115861,x115862),f232(f906(x115864,a894)))))), % 169.37/169.17 inference(rename_variables,[],[4026])). % 169.37/169.17 cnf(11589,plain, % 169.37/169.17 (~P1(f317(f317(f319(f905(x115891,x115891)),f317(f317(f242(x115891,x115891),x115892),x115893)),f143(x115891,f103(f906(x115891,a897)))))), % 169.37/169.17 inference(rename_variables,[],[4635])). % 169.37/169.17 cnf(11597,plain, % 169.37/169.17 (E(f104(x115971,f103(x115971)),f103(x115971))), % 169.37/169.17 inference(rename_variables,[],[3280])). % 169.37/169.17 cnf(11600,plain, % 169.37/169.17 (~E(f317(a102,x116001),x116001)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11607,plain, % 169.37/169.17 (~E(f317(a102,x116071),x116071)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11612,plain, % 169.37/169.17 (E(f317(f274(x116121,x116121),f253(x116121,x116122)),x116122)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(11615,plain, % 169.37/169.17 (E(f317(f274(x116151,x116151),f253(x116151,x116152)),x116152)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(11621,plain, % 169.37/169.17 (~E(f317(a102,x116211),x116211)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11626,plain, % 169.37/169.17 (~E(f317(f317(f74(a1),x116261),x116261),a87)), % 169.37/169.17 inference(rename_variables,[],[4586])). % 169.37/169.17 cnf(11633,plain, % 169.37/169.17 (E(f317(f317(f23(a897),f2(a897)),x116331),f2(a897))), % 169.37/169.17 inference(rename_variables,[],[3351])). % 169.37/169.17 cnf(11636,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x116361),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(11643,plain, % 169.37/169.17 (E(f317(f317(f74(a1),f317(f317(f75(a1),x116431),f317(f317(f30(a1),x116432),x116431))),f40(a1,x116432,x116431)),x116432)), % 169.37/169.17 inference(rename_variables,[],[3975])). % 169.37/169.17 cnf(11667,plain, % 169.37/169.17 (~E(f317(a102,x116671),x116671)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11670,plain, % 169.37/169.17 (~E(f317(a102,x116701),x116701)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11696,plain, % 169.37/169.17 (~P1(f317(f317(f162(x116961),f103(x116961)),x116962))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(11702,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),f2(a897)),f317(a102,x117021)))), % 169.37/169.17 inference(rename_variables,[],[3511])). % 169.37/169.17 cnf(11703,plain, % 169.37/169.17 (~E(f317(a102,x117031),x117031)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11706,plain, % 169.37/169.17 (P1(f317(f317(f319(x117061),x117062),f232(f906(x117061,a894))))), % 169.37/169.17 inference(rename_variables,[],[3582])). % 169.37/169.17 cnf(11718,plain, % 169.37/169.17 (~E(f317(a102,x117181),x117181)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11721,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x117211),x117211))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(11728,plain, % 169.37/169.17 (P1(f317(f60(x117281,x117282,x117283,x117284,f178(f906(x117281,a894))),x117284))), % 169.37/169.17 inference(rename_variables,[],[4335])). % 169.37/169.17 cnf(11729,plain, % 169.37/169.17 (E(f317(f274(x117291,x117291),f253(x117291,x117292)),x117292)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(11742,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x117421),x117422)),x117422))), % 169.37/169.17 inference(rename_variables,[],[4631])). % 169.37/169.17 cnf(11745,plain, % 169.37/169.17 (~P1(f317(f317(f225(a1),f317(f90(a1),x117451)),f2(a1)))), % 169.37/169.17 inference(rename_variables,[],[4624])). % 169.37/169.17 cnf(11759,plain, % 169.37/169.17 (~E(f317(f317(f228(a897),f317(a102,x117591)),x117591),f317(a102,x117591))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,3355,4581,10631,10731,11195,3044,3050,3054,3055,3071,3080,3086,3102,3106,3110,3111,3115,3142,3170,3171,3193,3205,3216,3231,4573,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,3372,3884,3270,3975,11643,3334,3266,3294,3277,3896,3488,11042,3365,4058,4588,10461,10628,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,3511,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,4624,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,11089,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,11377,11453,11535,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,3492,10858,10891,10900,10903,10906,3524,3943,3882,10510,4617,10458,10846,10849,11343,11359,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,4204,3905,4631,10483,10486,10852,10855,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435])). % 169.37/169.17 cnf(11768,plain, % 169.37/169.17 (E(f317(f274(x117681,x117681),f253(x117681,x117682)),x117682)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(11773,plain, % 169.37/169.17 (E(f317(f274(x117731,x117731),f253(x117731,x117732)),x117732)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(11776,plain, % 169.37/169.17 (~P1(f317(f317(f225(a1),f317(f90(a1),x117761)),f2(a1)))), % 169.37/169.17 inference(rename_variables,[],[4624])). % 169.37/169.17 cnf(11781,plain, % 169.37/169.17 (~E(f317(a102,x117811),x117811)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11790,plain, % 169.37/169.17 (~P1(f317(f317(f162(x117901),f103(x117901)),x117902))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(11810,plain, % 169.37/169.17 (E(f40(a897,x118101,x118101),f2(a897))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,3355,4581,10631,10731,11195,3044,3050,3051,3054,3055,3071,3080,3086,3102,3106,3110,3111,3115,3142,3170,3171,3185,3190,3191,3193,3197,3198,3205,3216,3231,4573,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,3372,3884,3270,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,3511,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,4624,11745,11776,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,11089,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,11377,11453,11535,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,4617,10458,10846,10849,11343,11359,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,4204,3905,4631,10483,10486,10852,10855,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593])). % 169.37/169.17 cnf(11813,plain, % 169.37/169.17 (~P1(f317(f317(f225(a1),f317(f90(a1),x118131)),f2(a1)))), % 169.37/169.17 inference(rename_variables,[],[4624])). % 169.37/169.17 cnf(11816,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x118161),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(11817,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x118171),f317(a102,x118171)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(11820,plain, % 169.37/169.17 (~P1(f317(f317(f225(a1),f317(f90(a1),x118201)),f2(a1)))), % 169.37/169.17 inference(rename_variables,[],[4624])). % 169.37/169.17 cnf(11822,plain, % 169.37/169.17 (~P18(x118221,f319(f906(x118222,a894)))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,3355,4581,10631,10731,11195,3044,3050,3051,3054,3055,3071,3080,3086,3102,3106,3110,3111,3115,3142,3170,3171,3185,3190,3191,3193,3197,3198,3205,3216,3231,4573,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,3372,3884,3270,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,3877,3418,3511,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,4624,11745,11776,11813,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,11089,3436,4608,10478,10507,11014,11053,3582,10736,10827,11097,11141,11374,11377,11453,11535,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,4617,10458,10846,10849,11343,11359,3455,10894,11047,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,4204,3905,4631,10483,10486,10852,10855,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599])). % 169.37/169.17 cnf(11823,plain, % 169.37/169.17 (~P1(f317(f317(f319(x118231),x118232),f178(f906(x118231,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11824,plain, % 169.37/169.17 (P1(f317(f317(f319(f906(x118241,a894)),x118242),f317(f298(x118241),x118242)))), % 169.37/169.17 inference(rename_variables,[],[3791])). % 169.37/169.17 cnf(11839,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x118391)),x118391))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(11840,plain, % 169.37/169.17 (~E(f317(a102,x118401),x118401)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11850,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x118501),x118502)),x118501))), % 169.37/169.17 inference(rename_variables,[],[4632])). % 169.37/169.17 cnf(11853,plain, % 169.37/169.17 (~P1(f317(f317(f225(a1),f317(f90(a1),x118531)),f2(a1)))), % 169.37/169.17 inference(rename_variables,[],[4624])). % 169.37/169.17 cnf(11856,plain, % 169.37/169.17 (~E(f317(a102,x118561),x118561)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(11869,plain, % 169.37/169.17 (P1(f317(f317(f319(x118691),x118692),f317(f317(f299(x118691),x118692),x118693)))), % 169.37/169.17 inference(rename_variables,[],[3739])). % 169.37/169.17 cnf(11870,plain, % 169.37/169.17 (~P1(f317(f317(f224(a1),f2(a1)),f317(f73(a1),f317(f90(a1),f317(a102,x118701)))))), % 169.37/169.17 inference(rename_variables,[],[4633])). % 169.37/169.17 cnf(11873,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),f317(f317(f23(a897),x118731),x118732)),f317(a102,x118731)))), % 169.37/169.17 inference(rename_variables,[],[3877])). % 169.37/169.17 cnf(11876,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),f40(a897,x118761,x118762)),x118761))), % 169.37/169.17 inference(rename_variables,[],[3882])). % 169.37/169.17 cnf(11882,plain, % 169.37/169.17 (E(f317(f274(x118821,x118821),f253(x118821,x118822)),x118822)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(11887,plain, % 169.37/169.17 (E(f317(f317(f124(x118871),f159(x118871,x118872,x118873)),f159(x118871,x118874,x118873)),f317(f317(f124(x118871),f159(x118871,x118874,x118873)),f159(x118871,x118872,x118873)))), % 169.37/169.17 inference(rename_variables,[],[3990])). % 169.37/169.17 cnf(11892,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x118921)),x118921))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(11901,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x119011),x119011))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(11904,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),f40(a897,x119041,x119042)),x119041))), % 169.37/169.17 inference(rename_variables,[],[3882])). % 169.37/169.17 cnf(11905,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),f2(a897)),x119051))), % 169.37/169.17 inference(rename_variables,[],[3455])). % 169.37/169.17 cnf(11907,plain, % 169.37/169.17 (~P1(f317(f317(f224(a1),f72(a1)),f2(a1)))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,3355,4581,10631,10731,11195,3043,3044,3050,3051,3054,3055,3071,3080,3086,3102,3106,3110,3111,3115,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,3372,3884,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,3877,3418,3511,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,4624,11745,11776,11813,11820,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,3435,10586,10642,10876,10970,11089,3436,4608,10478,10507,11014,11053,11062,3582,10736,10827,11097,11141,11374,11377,11453,11535,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,4617,10458,10846,10849,11343,11359,11839,3455,10894,11047,11117,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,4634,10650,4296,4204,3905,4631,10483,10486,10852,10855,4632,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5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% 169.37/169.17 cnf(11922,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x119221),x119221))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(11925,plain, % 169.37/169.17 (P1(f317(f317(f319(x119251),f317(x119252,x119253)),f317(f300(x119254,x119251,x119252),f232(f906(x119254,a894)))))), % 169.37/169.17 inference(rename_variables,[],[4026])). % 169.37/169.17 cnf(11926,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x119261)),x119261))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(11929,plain, % 169.37/169.17 (P1(f317(f317(f319(x119291),f317(x119292,x119293)),f317(f300(x119294,x119291,x119292),f232(f906(x119294,a894)))))), % 169.37/169.17 inference(rename_variables,[],[4026])). % 169.37/169.17 cnf(11930,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x119301),x119302)),x119302))), % 169.37/169.17 inference(rename_variables,[],[4631])). % 169.37/169.17 cnf(11935,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x119351),x119352)),x119351))), % 169.37/169.17 inference(rename_variables,[],[4632])). % 169.37/169.17 cnf(11938,plain, % 169.37/169.17 (~P1(f317(f317(f162(x119381),f103(x119381)),x119382))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(11941,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x119411),x119411))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(11949,plain, % 169.37/169.17 (~P37(x119491,x119492,f103(x119491))), % 169.37/169.17 inference(rename_variables,[],[4595])). % 169.37/169.17 cnf(11952,plain, % 169.37/169.17 (P1(f317(f317(f319(x119521),x119522),f232(f906(x119521,a894))))), % 169.37/169.17 inference(rename_variables,[],[3582])). % 169.37/169.17 cnf(11953,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x119531)),x119531))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(11966,plain, % 169.37/169.17 (~P1(f317(f317(f319(x119661),x119662),f178(f906(x119661,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(11969,plain, % 169.37/169.17 (E(f317(f317(f16(x119691,x119692),x119693),x119694),x119693)), % 169.37/169.17 inference(rename_variables,[],[3425])). % 169.37/169.17 cnf(11972,plain, % 169.37/169.17 (E(f317(f317(f16(x119721,x119722),x119723),x119724),x119723)), % 169.37/169.17 inference(rename_variables,[],[3425])). % 169.37/169.17 cnf(11984,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),f2(a897)),f317(a102,x119841)))), % 169.37/169.17 inference(rename_variables,[],[3511])). % 169.37/169.17 cnf(11987,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x119871),x119871))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(11990,plain, % 169.37/169.17 (P1(f317(f28(x119901),f317(f162(x119901),x119902)))), % 169.37/169.17 inference(rename_variables,[],[3473])). % 169.37/169.17 cnf(11993,plain, % 169.37/169.17 (P1(f317(f28(x119931),f317(f162(x119931),x119932)))), % 169.37/169.17 inference(rename_variables,[],[3473])). % 169.37/169.17 cnf(11996,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x119961))),f317(f90(a1),x119962)))), % 169.37/169.17 inference(rename_variables,[],[3906])). % 169.37/169.17 cnf(11999,plain, % 169.37/169.17 (~P1(f317(f317(f319(x119991),x119992),f178(f906(x119991,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(12015,plain, % 169.37/169.17 (~P1(f317(f317(f319(a897),f2(a897)),f317(f294(a897),x120151)))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4594,4595,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,3355,4581,10631,10731,11195,3043,3044,3047,3050,3051,3054,3055,3071,3080,3086,3102,3106,3110,3111,3115,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,3372,3884,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,3877,11873,3418,3511,11702,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,4624,11745,11776,11813,11820,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,3473,11990,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,3435,10586,10642,10876,10970,11089,3436,3507,4608,10478,10507,11014,11053,11062,11901,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,3455,10894,11047,11117,3906,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,11586,11925,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,4296,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246])). % 169.37/169.17 cnf(12017,plain, % 169.37/169.17 (~P1(f317(f317(f319(a897),x120171),f317(f272(a897),f2(a897))))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4594,4595,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,3355,4581,10631,10731,11195,3043,3044,3047,3050,3051,3054,3055,3071,3080,3086,3102,3106,3110,3111,3115,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,3372,3884,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,3877,11873,3418,3511,11702,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,4624,11745,11776,11813,11820,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,3473,11990,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,3435,10586,10642,10876,10970,11089,3436,3507,4608,10478,10507,11014,11053,11062,11901,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,3455,10894,11047,11117,3906,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,11586,11925,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,4296,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247])). % 169.37/169.17 cnf(12019,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),f40(a897,x120191,f178(a897))),x120191))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4594,4595,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,3355,4581,10631,10731,11195,3043,3044,3047,3050,3051,3054,3055,3071,3080,3086,3102,3106,3110,3111,3115,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,3372,3884,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,3877,11873,3418,3511,11702,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,4624,11745,11776,11813,11820,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,3473,11990,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,3435,10586,10642,10876,10970,11089,11721,3436,3507,4608,10478,10507,11014,11053,11062,11901,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,3455,10894,11047,11117,3906,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,11586,11925,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,4296,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279])). % 169.37/169.17 cnf(12020,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x120201),x120201))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(12023,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x120231),f317(a102,x120231)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(12026,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x120261),x120261))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(12037,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x120371),x120371))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(12040,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x120401),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(12045,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x120451),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(12054,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),f2(a897)),x120541))), % 169.37/169.17 inference(rename_variables,[],[3455])). % 169.37/169.17 cnf(12055,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x120551)),x120551))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(12058,plain, % 169.37/169.17 (~P1(f317(f317(f162(x120581),f103(x120581)),x120582))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(12061,plain, % 169.37/169.17 (~P1(f317(f317(f162(x120611),f103(x120611)),x120612))), % 169.37/169.17 inference(rename_variables,[],[4616])). % 169.37/169.17 cnf(12067,plain, % 169.37/169.17 (~P1(f317(f317(f277(a897),f317(a102,f317(f317(f74(a897),f317(a102,f2(a897))),x120671))),f317(a102,f2(a897))))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4594,4595,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,3355,4581,10631,10731,11195,3043,3044,3047,3050,3051,3054,3055,3071,3080,3086,3102,3103,3106,3110,3111,3115,3121,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,3372,3884,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,3877,11873,3418,3511,11702,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,4624,11745,11776,11813,11820,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,3473,11990,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,3435,10586,10642,10876,10970,11089,11721,12020,12026,3436,3507,4608,10478,10507,11014,11053,11062,11901,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,3455,10894,11047,11117,11905,3906,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,11586,11925,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,4296,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503])). % 169.37/169.17 cnf(12069,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x120691),f317(a102,x120691)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(12081,plain, % 169.37/169.17 (P1(f317(f317(f225(a1),f317(f73(a1),f72(a1))),f2(a1)))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4594,4595,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,3355,4581,10631,10731,11195,3043,3044,3047,3050,3051,3054,3055,3066,3071,3080,3086,3102,3103,3106,3110,3111,3115,3121,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,3372,3884,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,3877,11873,3418,3511,11702,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,3473,11990,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,3435,10586,10642,10876,10970,11089,11721,12020,12026,3436,3507,4608,10478,10507,11014,11053,11062,11901,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,3455,10894,11047,11117,11905,3906,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,11586,11925,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,4296,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560])). % 169.37/169.17 cnf(12084,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x120841)),x120841))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(12087,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x120871)),x120871))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(12090,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x120901)),x120901))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(12093,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x120931)),x120931))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(12096,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x120961),x120961))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12099,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x120991),x120991))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12102,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x121021),x121021))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12105,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x121051),x121051))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12121,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),f317(f317(f23(a897),x121211),f317(a102,x121211))),f2(a897)))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4594,4595,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,3355,4581,10631,10731,11195,3043,3044,3047,3050,3051,3054,3055,3066,3071,3080,3086,3102,3103,3106,3110,3111,3115,3121,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,3372,3884,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,3877,11873,3418,3511,11702,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,3473,11990,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,3435,10586,10642,10876,10970,11089,11721,12020,12026,3436,3507,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,3455,10894,11047,11117,11905,3906,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,11586,11925,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,4296,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641])). % 169.37/169.17 cnf(12122,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x121221),x121221))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(12125,plain, % 169.37/169.17 (P27(a897,a897,a102,x121251)), % 169.37/169.17 inference(rename_variables,[],[3634])). % 169.37/169.17 cnf(12127,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x121271),f317(f70(a1),x121271)))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4594,4595,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,3634,3355,4581,10631,10731,11195,3043,3044,3047,3050,3051,3054,3055,3066,3071,3080,3086,3102,3103,3106,3110,3111,3115,3121,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,3372,3884,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,3877,11873,3418,3511,11702,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,3473,11990,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,4162,4069,10879,4116,3791,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,3436,3507,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,3455,10894,11047,11117,11905,3906,4241,3977,4614,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,11586,11925,3872,11160,11166,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,4296,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662])). % 169.37/169.17 cnf(12128,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x121281),x121281))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(12139,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x121391),x121391))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(12142,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(f905(f898(x121421),f898(x121421)),a894)),f148(x121421,x121422)),f297(f898(x121421),f147(x121421,x121422))))), % 169.37/169.17 inference(rename_variables,[],[4121])). % 169.37/169.17 cnf(12149,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x121491),f317(a102,x121491)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(12152,plain, % 169.37/169.17 (P1(f317(f317(f319(f906(x121521,a894)),x121522),f317(f298(x121521),x121522)))), % 169.37/169.17 inference(rename_variables,[],[3791])). % 169.37/169.17 cnf(12153,plain, % 169.37/169.17 (~E(f317(a102,x121531),x121531)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(12158,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x121581),x121581))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(12163,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x121631),x121631))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(12174,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x121741,a894)),x121742),f317(f317(f299(x121741),x121743),x121742)))), % 169.37/169.17 inference(rename_variables,[],[3872])). % 169.37/169.17 cnf(12177,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x121771),x121771))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(12178,plain, % 169.37/169.17 (~E(f317(a102,x121781),x121781)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(12191,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x121911),x121911))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12192,plain, % 169.37/169.17 (~E(f317(a102,x121921),x121921)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(12195,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x121951),x121951))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(12198,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x121981),x121981))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(12201,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x122011),x122011))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(12204,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x122041),x122041))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(12207,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x122071),x122071))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(12210,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x122101),x122101))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12213,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x122131),x122131))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12214,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x122141),f317(a102,x122141)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(12221,plain, % 169.37/169.17 (~E(f317(a102,x122211),x122211)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(12226,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x122261),x122261))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12227,plain, % 169.37/169.17 (~E(f317(a102,x122271),x122271)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(12230,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x122301),x122301))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(12247,plain, % 169.37/169.17 (P1(f317(f317(f224(a1),x122471),x122471))), % 169.37/169.17 inference(rename_variables,[],[3435])). % 169.37/169.17 cnf(12252,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),f2(a897)),x122521))), % 169.37/169.17 inference(rename_variables,[],[3455])). % 169.37/169.17 cnf(12268,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x122681),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(12271,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x122711),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(12274,plain, % 169.37/169.17 (~P1(f317(f317(f319(x122741),x122742),f178(f906(x122741,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(12277,plain, % 169.37/169.17 (~P1(f317(f317(f319(x122771),x122772),f178(f906(x122771,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(12280,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x122801),x122801))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12283,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x122831),x122831))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12285,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x122851),f317(f317(f92(a897),x122852),x122851)))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,4594,4595,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,3634,3355,4581,10631,10731,11195,3043,3044,3047,3050,3051,3054,3055,3066,3071,3080,3086,3102,3103,3106,3110,3111,3115,3121,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,3372,3381,3884,4186,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,3877,11873,3418,3511,11702,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,3473,11990,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,4162,4121,4069,10879,4116,3791,11824,4150,3808,10594,10691,11247,11324,11403,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,3507,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,3455,10894,11047,11117,11905,12054,3906,4241,3977,4614,3917,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,11586,11925,3872,11160,11166,11184,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,4296,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,47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% 169.37/169.17 cnf(12286,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x122861),x122861))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12289,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x122891),x122891))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12292,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x122921),f317(a102,x122921)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(12299,plain, % 169.37/169.17 (P1(f317(f317(f319(f906(x122991,a894)),x122992),f317(f298(x122991),x122992)))), % 169.37/169.17 inference(rename_variables,[],[3791])). % 169.37/169.17 cnf(12304,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x123041,a894)),x123042),f317(f317(f299(x123041),x123043),x123042)))), % 169.37/169.17 inference(rename_variables,[],[3872])). % 169.37/169.17 cnf(12311,plain, % 169.37/169.17 (~P1(f317(f317(f319(x123111),x123112),f178(f906(x123111,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(12320,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x123201,a894)),x123202),f232(f906(x123201,a894))))), % 169.37/169.17 inference(rename_variables,[],[3808])). % 169.37/169.17 cnf(12321,plain, % 169.37/169.17 (~E(f317(a102,x123211),x123211)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(12327,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x123271),f317(a102,x123271)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(12336,plain, % 169.37/169.17 (E(f317(f274(x123361,x123361),f253(x123361,x123362)),x123362)), % 169.37/169.17 inference(rename_variables,[],[3395])). % 169.37/169.17 cnf(12347,plain, % 169.37/169.17 (~P1(f317(f317(f224(a897),f317(a102,x123471)),x123471))), % 169.37/169.17 inference(rename_variables,[],[4617])). % 169.37/169.17 cnf(12348,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x123481),f2(a897)))), % 169.37/169.17 inference(rename_variables,[],[4612])). % 169.37/169.17 cnf(12353,plain, % 169.37/169.17 (P1(f317(f28(x123531),f178(f906(x123531,a894))))), % 169.37/169.17 inference(rename_variables,[],[3507])). % 169.37/169.17 cnf(12354,plain, % 169.37/169.17 (~P1(f317(f317(f319(x123541),x123542),f178(f906(x123541,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(12361,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x123611,a894)),f317(f162(x123611),f166(x123611,x123612,x123613))),f317(f162(x123611),x123612)))), % 169.37/169.17 inference(rename_variables,[],[4116])). % 169.37/169.17 cnf(12364,plain, % 169.37/169.17 (P27(x123641,x123641,f5(x123641),x123642)), % 169.37/169.17 inference(rename_variables,[],[3667])). % 169.37/169.17 cnf(12369,plain, % 169.37/169.17 (P1(f317(f317(f319(f906(x123691,a894)),x123692),f317(f298(x123691),x123692)))), % 169.37/169.17 inference(rename_variables,[],[3791])). % 169.37/169.17 cnf(12376,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x123761),x123761))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(12379,plain, % 169.37/169.17 (~P1(f317(f317(f319(x123791),x123792),f178(f906(x123791,a894))))), % 169.37/169.17 inference(rename_variables,[],[4620])). % 169.37/169.17 cnf(12388,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x123881),x123881))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(12391,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x123911),x123911))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(12394,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x123941),x123941))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(12397,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),x123971),x123971))), % 169.37/169.17 inference(rename_variables,[],[3434])). % 169.37/169.17 cnf(12400,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x124001),f317(a102,x124001)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(12403,plain, % 169.37/169.17 (P1(f317(f317(f225(a897),x124031),f317(a102,x124031)))), % 169.37/169.17 inference(rename_variables,[],[3499])). % 169.37/169.17 cnf(12406,plain, % 169.37/169.17 (P1(f317(f317(f277(a897),x124061),x124061))), % 169.37/169.17 inference(rename_variables,[],[3436])). % 169.37/169.17 cnf(12409,plain, % 169.37/169.17 (P1(f317(f317(f277(a897),x124091),x124091))), % 169.37/169.17 inference(rename_variables,[],[3436])). % 169.37/169.17 cnf(12412,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x124121,a894)),x124122),x124122))), % 169.37/169.17 inference(rename_variables,[],[3723])). % 169.37/169.17 cnf(12414,plain, % 169.37/169.17 (~P1(f317(f317(f224(a1),f317(f317(f23(a1),a77),a87)),f2(a1)))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,11314,4594,4595,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,3634,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3071,3080,3086,3102,3103,3106,3110,3111,3112,3115,3121,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,3372,3381,3884,4186,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,3473,11990,11993,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,4162,4121,4069,10879,4116,11244,3791,11824,12152,12299,4150,3808,10594,10691,11247,11324,11403,11464,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,3455,10894,11047,11117,11905,12054,3906,4241,3977,4614,3917,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,11586,11925,3872,11160,11166,11184,12174,3723,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,4296,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,99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% 169.37/169.17 cnf(12419,plain, % 169.37/169.17 (P1(f317(f317(f319(f906(x124191,a894)),x124192),f317(f298(x124191),x124192)))), % 169.37/169.17 inference(rename_variables,[],[3791])). % 169.37/169.17 cnf(12425,plain, % 169.37/169.17 (~P1(f317(f317(f225(a1),f317(f317(f74(a1),a77),a77)),f2(a1)))), % 169.37/169.17 inference(scs_inference,[],[4613,3667,11314,4594,4595,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,3634,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3071,3080,3086,3102,3103,3106,3110,3111,3112,3115,3121,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,3372,3381,3884,4186,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3488,11042,3365,4058,4588,10461,10628,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,3473,11990,11993,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,4162,4121,4069,10879,4116,11244,3791,11824,12152,12299,12369,4150,3808,10594,10691,11247,11324,11403,11464,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,3455,10894,11047,11117,11905,12054,3906,4241,3977,4614,3917,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,11586,11925,3872,11160,11166,11184,12174,3723,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,4296,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9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% 169.37/169.17 cnf(12428,plain, % 169.37/169.17 (~E(f317(a102,x124281),x124281)), % 169.37/169.17 inference(rename_variables,[],[4575])). % 169.37/169.17 cnf(12429,plain, % 169.37/169.17 (E(f317(f300(x124291,x124291,f5(x124291)),x124292),x124292)), % 169.37/169.17 inference(rename_variables,[],[3488])). % 169.37/169.17 cnf(12432,plain, % 169.37/169.17 (P34(x124321,x124322,f103(x124321),f103(x124321))), % 169.37/169.17 inference(rename_variables,[],[3676])). % 169.37/169.17 cnf(12435,plain, % 169.37/169.17 (P1(f317(f317(f224(f906(x124351,a894)),f317(f162(x124351),f166(x124351,x124352,x124353))),f317(f162(x124351),x124352)))), % 169.37/169.17 inference(rename_variables,[],[4116])). % 169.37/169.17 cnf(12436,plain, % 169.37/169.17 (P1(f317(f28(x124361),f317(f162(x124361),x124362)))), % 169.37/169.17 inference(rename_variables,[],[3473])). % 169.37/169.17 cnf(12447,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x124471),x124471))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12450,plain, % 169.37/169.17 (~P1(f317(f317(f225(a897),x124501),x124501))), % 169.37/169.17 inference(rename_variables,[],[4608])). % 169.37/169.17 cnf(12455,plain, % 169.37/169.17 (P1(f317(f317(f224(a897),f2(a897)),x124551))), % 169.37/169.17 inference(rename_variables,[],[3455])). % 169.37/169.17 cnf(12462,plain, % 169.37/169.17 (P16(a897,f317(f158(a897),f317(f317(f144(f898(x124621),a897),f179(f898(x124621))),f169(x124621,x124622))))), % 169.37/169.17 inference(rename_variables,[],[3986])). % 169.37/169.17 cnf(12465,plain, % 169.37/169.17 (P27(x124651,x124651,f5(x124651),x124652)), % 169.37/169.17 inference(rename_variables,[],[3667])). % 169.37/169.17 cnf(12468,plain, % 169.37/169.17 (P27(x124681,x124681,f5(x124681),x124682)), % 169.37/169.17 inference(rename_variables,[],[3667])). % 169.37/169.17 cnf(12471,plain, % 169.37/169.17 (P1(f317(f317(f319(f898(x124711)),f103(x124711)),f151(x124711,x124712)))), % 169.37/169.17 inference(rename_variables,[],[3626])). % 169.37/169.17 cnf(12474,plain, % 169.37/169.18 (~P1(f317(f317(f178(f906(x124741,f906(x124742,a894))),x124743),x124744))), % 169.37/169.18 inference(rename_variables,[],[4634])). % 169.37/169.18 cnf(12479,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x124791),x124791))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(12480,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),f2(a897)),x124801))), % 169.37/169.18 inference(rename_variables,[],[3455])). % 169.37/169.18 cnf(12482,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),f2(a1)),f862(x124821,f178(f906(x124822,f906(x124823,a894))),f72(a1))))), % 169.37/169.18 inference(scs_inference,[],[4613,3667,11314,12364,12465,3676,4594,4595,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,3634,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3071,3080,3086,3102,3103,3106,3110,3111,3112,3115,3121,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,3372,3381,3884,4186,3270,3628,3975,11643,3334,3266,3294,3289,3277,3278,3896,3314,3488,11042,11169,3365,4058,4588,10461,10628,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3351,11633,4200,4060,11241,11371,11427,4636,11144,11384,11490,11516,11560,11566,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,3790,4471,4472,4586,3727,3939,3986,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,4583,3619,4625,4193,11513,3749,3473,11990,11993,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,4162,4121,4069,10879,4116,11244,12361,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,3906,4241,3977,4614,3917,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,4026,11586,11925,3872,11160,11166,11184,12174,3723,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,10763,12474,4296,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,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% 169.37/169.18 cnf(12483,plain, % 169.37/169.18 (~P1(f317(f317(f178(f906(x124831,f906(x124832,a894))),x124833),x124834))), % 169.37/169.18 inference(rename_variables,[],[4634])). % 169.37/169.18 cnf(12486,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(f905(f898(x124861),f898(x124861)),a894)),f148(x124861,x124862)),f297(f898(x124861),f147(x124861,x124862))))), % 169.37/169.18 inference(rename_variables,[],[4121])). % 169.37/169.18 cnf(12492,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x124921,a894)),f317(f300(x124922,x124921,x124923),f317(f301(x124922,x124921,x124923),x124924))),x124924))), % 169.37/169.18 inference(rename_variables,[],[4296])). % 169.37/169.18 cnf(12495,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x124951,a894)),f317(f162(x124951),f166(x124951,x124952,x124953))),f317(f162(x124951),x124952)))), % 169.37/169.18 inference(rename_variables,[],[4116])). % 169.37/169.18 cnf(12496,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x124961,a894)),f317(f162(x124961),f317(f126(x124961,x124962),x124963))),f317(f162(x124961),x124963)))), % 169.37/169.18 inference(rename_variables,[],[4069])). % 169.37/169.18 cnf(12499,plain, % 169.37/169.18 (~P1(f317(f317(f225(f906(x124991,a894)),x124992),f178(f906(x124991,a894))))), % 169.37/169.18 inference(rename_variables,[],[4628])). % 169.37/169.18 cnf(12507,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x125071,a894)),f317(f300(x125072,x125071,x125073),f317(f301(x125072,x125071,x125073),x125074))),x125074))), % 169.37/169.18 inference(rename_variables,[],[4296])). % 169.37/169.18 cnf(12512,plain, % 169.37/169.18 (P1(f317(f317(f319(f898(x125121)),f103(x125121)),f151(x125121,x125122)))), % 169.37/169.18 inference(rename_variables,[],[3626])). % 169.37/169.18 cnf(12515,plain, % 169.37/169.18 (~P1(f317(f317(f319(f905(f898(x125151),f898(x125151))),f317(f317(f242(f898(x125151),f898(x125151)),x125152),f103(x125151))),f135(x125151,x125153)))), % 169.37/169.18 inference(rename_variables,[],[4636])). % 169.37/169.18 cnf(12518,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x125181),f2(a897)))), % 169.37/169.18 inference(rename_variables,[],[4612])). % 169.37/169.18 cnf(12523,plain, % 169.37/169.18 (~P1(f317(f317(f319(x125231),x125232),f178(f906(x125231,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(12526,plain, % 169.37/169.18 (~P1(f317(f317(f178(f906(x125261,f906(x125262,a894))),x125263),x125264))), % 169.37/169.18 inference(rename_variables,[],[4634])). % 169.37/169.18 cnf(12529,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x125291,a894)),x125292),x125292))), % 169.37/169.18 inference(rename_variables,[],[3723])). % 169.37/169.18 cnf(12534,plain, % 169.37/169.18 (E(f317(f274(x125341,x125341),f253(x125341,x125342)),x125342)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12537,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x125371,a894)),f317(f162(x125371),f166(x125371,x125372,x125373))),f317(f162(x125371),x125372)))), % 169.37/169.18 inference(rename_variables,[],[4116])). % 169.37/169.18 cnf(12538,plain, % 169.37/169.18 (P1(f317(f28(x125381),f317(f162(x125381),x125382)))), % 169.37/169.18 inference(rename_variables,[],[3473])). % 169.37/169.18 cnf(12541,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x125411),x125411))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(12544,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x125441),x125441))), % 169.37/169.18 inference(rename_variables,[],[4608])). % 169.37/169.18 cnf(12547,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x125471),x125471))), % 169.37/169.18 inference(rename_variables,[],[4608])). % 169.37/169.18 cnf(12558,plain, % 169.37/169.18 (P27(x125581,x125581,f5(x125581),x125582)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(12566,plain, % 169.37/169.18 (~P1(f317(f317(f319(x125661),x125662),f178(f906(x125661,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(12569,plain, % 169.37/169.18 (P1(f317(f317(f319(f905(x125691,x125691)),f317(f317(f242(x125691,x125691),x125692),x125692)),f297(x125691,x125693)))), % 169.37/169.18 inference(rename_variables,[],[4060])). % 169.37/169.18 cnf(12572,plain, % 169.37/169.18 (~P1(f317(f317(f319(x125721),x125722),f178(f906(x125721,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(12575,plain, % 169.37/169.18 (P1(f317(f317(f319(f905(x125751,x125751)),f317(f317(f242(x125751,x125751),x125752),x125752)),f297(x125751,x125753)))), % 169.37/169.18 inference(rename_variables,[],[4060])). % 169.37/169.18 cnf(12583,plain, % 169.37/169.18 (~E(f317(f317(f141(x125831),x125832),x125833),x125833)), % 169.37/169.18 inference(rename_variables,[],[4588])). % 169.37/169.18 cnf(12585,plain, % 169.37/169.18 (~P28(a897,a897,x125851,f232(f906(a897,a894)),f296(a897,x125852,x125853))), % 169.37/169.18 inference(scs_inference,[],[4613,3667,11314,12364,12465,12468,3676,3683,3405,4594,4595,3304,3307,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3071,3080,3086,3093,3102,3103,3106,3110,3111,3112,3115,3121,3125,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,3372,3381,3884,4186,3270,3628,3975,11643,3334,3266,3294,3744,3289,3277,3278,3896,3314,3488,11042,11169,3365,4058,4588,10461,10628,11496,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3660,3351,11633,4200,4060,11241,11371,11427,12569,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,3790,4471,4472,4586,11626,3727,3939,3986,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,3293,4583,3619,4625,4193,11513,3749,3473,11990,11993,12436,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,4162,4121,12142,12486,4069,10879,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,3492,10858,10891,10900,10903,10906,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,3906,4241,3977,4614,3917,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,3872,11160,11166,11184,12174,3723,12412,3874,10897,11263,11424,11458,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,10763,12474,12483,4296,11033,12492,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8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% 169.37/169.18 cnf(12590,plain, % 169.37/169.18 (P1(f317(f317(f319(x125901),x125902),f232(f906(x125901,a894))))), % 169.37/169.18 inference(rename_variables,[],[3582])). % 169.37/169.18 cnf(12591,plain, % 169.37/169.18 (~E(f317(a102,x125911),x125911)), % 169.37/169.18 inference(rename_variables,[],[4575])). % 169.37/169.18 cnf(12594,plain, % 169.37/169.18 (P1(f317(f317(f319(f898(x125941)),f103(x125941)),f151(x125941,x125942)))), % 169.37/169.18 inference(rename_variables,[],[3626])). % 169.37/169.18 cnf(12595,plain, % 169.37/169.18 (~E(f317(f317(f141(x125951),x125952),x125953),f103(x125951))), % 169.37/169.18 inference(rename_variables,[],[4591])). % 169.37/169.18 cnf(12598,plain, % 169.37/169.18 (P27(x125981,x125981,f5(x125981),x125982)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(12601,plain, % 169.37/169.18 (P1(f317(f317(f319(x126011),f317(x126012,x126013)),f317(f300(x126014,x126011,x126012),f232(f906(x126014,a894)))))), % 169.37/169.18 inference(rename_variables,[],[4026])). % 169.37/169.18 cnf(12602,plain, % 169.37/169.18 (P27(x126021,x126021,f5(x126021),x126022)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(12605,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x126051,a894)),f178(f906(x126051,a894))),x126052))), % 169.37/169.18 inference(rename_variables,[],[3874])). % 169.37/169.18 cnf(12606,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x126061,a894)),x126062),x126062))), % 169.37/169.18 inference(rename_variables,[],[3723])). % 169.37/169.18 cnf(12609,plain, % 169.37/169.18 (P1(f317(f317(f319(x126091),f317(x126092,x126093)),f317(f300(x126094,x126091,x126092),f232(f906(x126094,a894)))))), % 169.37/169.18 inference(rename_variables,[],[4026])). % 169.37/169.18 cnf(12610,plain, % 169.37/169.18 (P27(x126101,x126101,f5(x126101),x126102)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(12613,plain, % 169.37/169.18 (P1(f317(f317(f319(f905(f898(x126131),f898(x126131))),f317(f317(f242(f898(x126131),f898(x126131)),f103(x126131)),f103(x126131))),f148(x126131,x126132)))), % 169.37/169.18 inference(rename_variables,[],[4200])). % 169.37/169.18 cnf(12617,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x126171),f2(a897)))), % 169.37/169.18 inference(rename_variables,[],[4612])). % 169.37/169.18 cnf(12623,plain, % 169.37/169.18 (E(f317(f317(f124(x126231),x126232),f103(x126231)),x126232)), % 169.37/169.18 inference(rename_variables,[],[3366])). % 169.37/169.18 cnf(12624,plain, % 169.37/169.18 (~E(f317(f317(f141(x126241),x126242),x126243),x126243)), % 169.37/169.18 inference(rename_variables,[],[4588])). % 169.37/169.18 cnf(12627,plain, % 169.37/169.18 (E(f317(f317(f124(x126271),x126272),f103(x126271)),x126272)), % 169.37/169.18 inference(rename_variables,[],[3366])). % 169.37/169.18 cnf(12628,plain, % 169.37/169.18 (~E(f317(f317(f141(x126281),x126282),x126283),x126283)), % 169.37/169.18 inference(rename_variables,[],[4588])). % 169.37/169.18 cnf(12631,plain, % 169.37/169.18 (E(f317(f317(f124(x126311),x126312),f103(x126311)),x126312)), % 169.37/169.18 inference(rename_variables,[],[3366])). % 169.37/169.18 cnf(12638,plain, % 169.37/169.18 (P54(x126381,f253(x126381,x126382))), % 169.37/169.18 inference(rename_variables,[],[3308])). % 169.37/169.18 cnf(12641,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x126411,a894)),f317(f162(x126411),f317(f126(x126411,x126412),x126413))),f317(f162(x126411),x126413)))), % 169.37/169.18 inference(rename_variables,[],[4069])). % 169.37/169.18 cnf(12642,plain, % 169.37/169.18 (E(f317(f300(x126421,x126421,f5(x126421)),x126422),x126422)), % 169.37/169.18 inference(rename_variables,[],[3488])). % 169.37/169.18 cnf(12647,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x126471,a894)),x126472),f232(f906(x126471,a894))))), % 169.37/169.18 inference(rename_variables,[],[3808])). % 169.37/169.18 cnf(12651,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x126511),x126511))), % 169.37/169.18 inference(rename_variables,[],[4608])). % 169.37/169.18 cnf(12652,plain, % 169.37/169.18 (~E(f317(a102,x126521),x126521)), % 169.37/169.18 inference(rename_variables,[],[4575])). % 169.37/169.18 cnf(12655,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x126551,a894)),f178(f906(x126551,a894))),x126552))), % 169.37/169.18 inference(rename_variables,[],[3874])). % 169.37/169.18 cnf(12658,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x126581),x126581))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(12661,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x126611,a894)),x126612),x126612))), % 169.37/169.18 inference(rename_variables,[],[3723])). % 169.37/169.18 cnf(12666,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x126661,a894)),x126662),f317(f317(f299(x126661),x126663),x126662)))), % 169.37/169.18 inference(rename_variables,[],[3872])). % 169.37/169.18 cnf(12669,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x126691,a894)),x126692),x126692))), % 169.37/169.18 inference(rename_variables,[],[3723])). % 169.37/169.18 cnf(12670,plain, % 169.37/169.18 (~P1(f317(f317(f319(x126701),x126702),f178(f906(x126701,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(12673,plain, % 169.37/169.18 (~P1(f317(f317(f319(x126731),x126732),f178(f906(x126731,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(12682,plain, % 169.37/169.18 (P27(x126821,x126821,f5(x126821),x126822)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(12685,plain, % 169.37/169.18 (E(f317(f179(f898(x126851)),f159(x126851,x126852,x126853)),x126852)), % 169.37/169.18 inference(rename_variables,[],[3498])). % 169.37/169.18 cnf(12688,plain, % 169.37/169.18 (P28(x126881,x126881,f25(x126881),x126882,x126882)), % 169.37/169.18 inference(rename_variables,[],[4084])). % 169.37/169.18 cnf(12691,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x126911),x126911))), % 169.37/169.18 inference(rename_variables,[],[4608])). % 169.37/169.18 cnf(12692,plain, % 169.37/169.18 (P1(f317(f232(f906(x126921,a894)),x126922))), % 169.37/169.18 inference(rename_variables,[],[3492])). % 169.37/169.18 cnf(12697,plain, % 169.37/169.18 (~P1(f317(f317(f319(x126971),x126972),f178(f906(x126971,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(12700,plain, % 169.37/169.18 (P1(f317(f317(f319(x127001),f317(x127002,x127003)),f317(f300(x127004,x127001,x127002),f232(f906(x127004,a894)))))), % 169.37/169.18 inference(rename_variables,[],[4026])). % 169.37/169.18 cnf(12701,plain, % 169.37/169.18 (P1(f317(f317(f319(f905(x127011,x127011)),f317(f317(f242(x127011,x127011),x127012),x127012)),f297(x127011,x127013)))), % 169.37/169.18 inference(rename_variables,[],[4060])). % 169.37/169.18 cnf(12704,plain, % 169.37/169.18 (P1(f317(f317(f319(f905(x127041,x127041)),f317(f317(f242(x127041,x127041),x127042),x127042)),f297(x127041,x127043)))), % 169.37/169.18 inference(rename_variables,[],[4060])). % 169.37/169.18 cnf(12707,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x127071),x127071))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(12708,plain, % 169.37/169.18 (P1(f317(f232(f906(x127081,a894)),x127082))), % 169.37/169.18 inference(rename_variables,[],[3492])). % 169.37/169.18 cnf(12711,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x127111,a894)),x127112),f232(f906(x127111,a894))))), % 169.37/169.18 inference(rename_variables,[],[3808])). % 169.37/169.18 cnf(12712,plain, % 169.37/169.18 (P28(x127121,x127121,f25(x127121),x127122,x127122)), % 169.37/169.18 inference(rename_variables,[],[4084])). % 169.37/169.18 cnf(12715,plain, % 169.37/169.18 (P1(f317(f28(x127151),f317(f162(x127151),x127152)))), % 169.37/169.18 inference(rename_variables,[],[3473])). % 169.37/169.18 cnf(12720,plain, % 169.37/169.18 (P1(f317(f317(f319(f905(f898(x127201),f898(x127201))),f317(f317(f242(f898(x127201),f898(x127201)),f103(x127201)),f103(x127201))),f317(f317(f279(f898(x127201),f898(x127201),f898(x127201)),f148(x127201,x127202)),f148(x127201,x127202))))), % 169.37/169.18 inference(scs_inference,[],[4613,4084,12688,3667,11314,12364,12465,12468,12558,12598,12602,12610,3676,3683,3405,4594,4595,3304,3307,3308,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,3487,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3071,3080,3086,3093,3102,3103,3106,3110,3111,3112,3115,3121,3125,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,3366,12623,12627,12631,3372,3381,3884,4186,3498,3270,3628,3975,11643,3334,3266,3294,3744,3289,3277,3278,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,4591,12595,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3660,3351,11633,4200,12613,4060,11241,11371,11427,12569,12575,12701,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,4586,11626,3727,3939,3986,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,3293,4583,3816,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,3492,10858,10891,10900,10903,10906,11482,12692,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,3906,4241,3977,4614,3917,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,3872,11160,11166,11184,12174,12304,3723,12412,12529,12606,12661,3874,10897,11263,11424,11458,11469,12605,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,10763,12474,12483,4296,11033,12492,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581])). % 169.37/169.18 cnf(12722,plain, % 169.37/169.18 (P1(f317(f317(f319(f905(x127221,x127221)),f317(f317(f242(x127221,x127221),x127222),x127222)),f317(f317(f279(x127221,x127221,x127221),f297(x127221,x127223)),f297(x127221,f297(x127221,x127223)))))), % 169.37/169.18 inference(scs_inference,[],[4613,4084,12688,3667,11314,12364,12465,12468,12558,12598,12602,12610,3676,3683,3405,4594,4595,3304,3307,3308,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,3487,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3071,3080,3086,3093,3102,3103,3106,3110,3111,3112,3115,3121,3125,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,3366,12623,12627,12631,3372,3381,3884,4186,3498,3270,3628,3975,11643,3334,3266,3294,3744,3289,3277,3278,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,4591,12595,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3660,3351,11633,4200,12613,4060,11241,11371,11427,12569,12575,12701,12704,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,4586,11626,3727,3939,3986,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,3293,4583,3816,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,3492,10858,10891,10900,10903,10906,11482,12692,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,3906,4241,3977,4614,3917,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,3872,11160,11166,11184,12174,12304,3723,12412,12529,12606,12661,3874,10897,11263,11424,11458,11469,12605,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,10763,12474,12483,4296,11033,12492,4204,3905,3850,4631,10483,10486,10852,10855,11742,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595])). % 169.37/169.18 cnf(12725,plain, % 169.37/169.18 (~P1(f317(f317(f178(f906(x127251,f906(x127252,a894))),x127253),x127254))), % 169.37/169.18 inference(rename_variables,[],[4634])). % 169.37/169.18 cnf(12731,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x127311,a894)),x127312),f232(f906(x127311,a894))))), % 169.37/169.18 inference(rename_variables,[],[3808])). % 169.37/169.18 cnf(12734,plain, % 169.37/169.18 (P1(f317(f317(f319(f905(x127341,x127341)),f317(f317(f242(x127341,x127341),x127342),x127342)),f297(x127341,x127343)))), % 169.37/169.18 inference(rename_variables,[],[4060])). % 169.37/169.18 cnf(12737,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x127371),x127372)),x127372))), % 169.37/169.18 inference(rename_variables,[],[4631])). % 169.37/169.18 cnf(12738,plain, % 169.37/169.18 (P1(f317(f317(f225(a897),x127381),f317(a102,x127381)))), % 169.37/169.18 inference(rename_variables,[],[3499])). % 169.37/169.18 cnf(12741,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x127411,a894)),x127412),f232(f906(x127411,a894))))), % 169.37/169.18 inference(rename_variables,[],[3808])). % 169.37/169.18 cnf(12746,plain, % 169.37/169.18 (E(f317(f274(x127461,x127461),f253(x127461,x127462)),x127462)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12753,plain, % 169.37/169.18 (P1(f317(f317(f319(f905(f905(f898(x127531),f898(x127531)),f905(f898(x127531),f898(x127531)))),f512(f297(f905(f898(x127531),f898(x127531)),x127532),f135(x127531,x127533),f905(f898(x127531),f898(x127531)))),f297(f905(f898(x127531),f898(x127531)),x127532)))), % 169.37/169.18 inference(scs_inference,[],[4613,4084,12688,3667,11314,12364,12465,12468,12558,12598,12602,12610,3676,3683,3405,4594,4595,3304,3307,3308,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,3487,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3071,3080,3086,3093,3102,3103,3106,3110,3111,3112,3115,3121,3125,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3764,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,3366,12623,12627,12631,3372,3381,3884,4186,3498,3270,3628,3975,11643,3334,3266,3294,3744,3289,3277,3278,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,4591,12595,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3660,3351,11633,4200,12613,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,4586,11626,3727,3939,3986,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,3293,4583,3816,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,3492,10858,10891,10900,10903,10906,11482,12692,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,3906,4241,3977,4614,3917,3951,4600,4603,3411,3415,4602,4601,3739,4335,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,3872,11160,11166,11184,12174,12304,3723,12412,12529,12606,12661,4198,3874,10897,11263,11424,11458,11469,12605,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,4204,3905,3850,4631,10483,10486,10852,10855,11742,11930,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,84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% 169.37/169.18 cnf(12757,plain, % 169.37/169.18 (~P1(f317(f317(f319(x127571),x127572),f178(f906(x127571,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(12758,plain, % 169.37/169.18 (P1(f317(f317(f319(f905(f898(x127581),f898(x127581))),f317(f317(f242(f898(x127581),f898(x127581)),f103(x127581)),f103(x127581))),f148(x127581,x127582)))), % 169.37/169.18 inference(rename_variables,[],[4200])). % 169.37/169.18 cnf(12765,plain, % 169.37/169.18 (~P1(f317(f317(f319(x127651),x127652),f178(f906(x127651,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(12770,plain, % 169.37/169.18 (P33(x127701,x127702,f103(x127701))), % 169.37/169.18 inference(rename_variables,[],[3371])). % 169.37/169.18 cnf(12773,plain, % 169.37/169.18 (E(f317(f179(f898(x127731)),f159(x127731,x127732,x127733)),x127732)), % 169.37/169.18 inference(rename_variables,[],[3498])). % 169.37/169.18 cnf(12776,plain, % 169.37/169.18 (~P1(f317(f317(f319(x127761),x127762),f178(f906(x127761,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(12782,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x127821),x127821))), % 169.37/169.18 inference(rename_variables,[],[4608])). % 169.37/169.18 cnf(12784,plain, % 169.37/169.18 (P1(f317(f317(f319(f905(f898(x127841),f898(x127841))),f317(f317(f242(f898(x127841),f898(x127841)),f159(x127841,f317(f179(f898(x127841)),x127842),x127843)),x127842)),f148(x127841,f232(f906(f905(x127841,x127841),a894)))))), % 169.37/169.18 inference(scs_inference,[],[4613,4084,12688,3667,11314,12364,12465,12468,12558,12598,12602,12610,3676,3683,3405,3371,4594,4595,3304,3307,3308,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,3487,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3071,3080,3086,3093,3102,3103,3106,3110,3111,3112,3115,3121,3125,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,3231,4573,3764,3990,11887,3280,11597,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,3366,12623,12627,12631,3372,3381,3884,4186,3498,12685,12773,3270,3628,3975,11643,3334,3266,3294,3744,3289,3277,3278,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,4591,12595,3425,11969,4618,11221,11319,11552,11555,3535,3329,10531,10861,3330,3587,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,4586,11626,3727,3939,3986,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,3293,4583,3816,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,3492,10858,10891,10900,10903,10906,11482,12692,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,3906,4241,3977,4614,3917,3951,4600,4603,3411,3415,4602,4601,3739,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,3872,11160,11166,11184,12174,12304,3723,12412,12529,12606,12661,4198,3874,10897,11263,11424,11458,11469,12605,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,4204,3905,3850,4631,10483,10486,10852,10855,11742,11930,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,815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% 169.37/169.18 cnf(12785,plain, % 169.37/169.18 (P1(f317(f317(f319(x127851),x127852),f232(f906(x127851,a894))))), % 169.37/169.18 inference(rename_variables,[],[3582])). % 169.37/169.18 cnf(12789,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x127891,a894)),x127892),x127892))), % 169.37/169.18 inference(rename_variables,[],[3723])). % 169.37/169.18 cnf(12792,plain, % 169.37/169.18 (~P1(f317(f317(f319(x127921),x127922),f178(f906(x127921,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(12795,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),f2(a1)),f317(f317(f234(a1),f317(f70(a1),x127951)),x127952)))), % 169.37/169.18 inference(rename_variables,[],[3905])). % 169.37/169.18 cnf(12798,plain, % 169.37/169.18 (~E(f317(a102,x127981),x127981)), % 169.37/169.18 inference(rename_variables,[],[4575])). % 169.37/169.18 cnf(12800,plain, % 169.37/169.18 (E(f317(f274(x128001,x128001),f253(x128001,x128002)),x128002)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12804,plain, % 169.37/169.18 (P17(x128041,f906(x128041,a894),f299(x128041))), % 169.37/169.18 inference(rename_variables,[],[3408])). % 169.37/169.18 cnf(12808,plain, % 169.37/169.18 (E(f317(f274(x128081,x128081),f253(x128081,x128082)),x128082)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12813,plain, % 169.37/169.18 (P57(x128131,x128131,f253(x128131,x128132))), % 169.37/169.18 inference(rename_variables,[],[3405])). % 169.37/169.18 cnf(12819,plain, % 169.37/169.18 (E(f317(f274(x128191,x128191),f253(x128191,x128192)),x128192)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12821,plain, % 169.37/169.18 (P54(x128211,f253(x128211,x128212))), % 169.37/169.18 inference(rename_variables,[],[3308])). % 169.37/169.18 cnf(12829,plain, % 169.37/169.18 (E(f317(f274(x128291,x128291),f253(x128291,x128292)),x128292)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12831,plain, % 169.37/169.18 (P27(x128311,x128311,f5(x128311),x128312)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(12833,plain, % 169.37/169.18 (P27(x128331,x128331,f5(x128331),x128332)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(12840,plain, % 169.37/169.18 (P34(x128401,x128402,f103(x128401),f103(x128401))), % 169.37/169.18 inference(rename_variables,[],[3676])). % 169.37/169.18 cnf(12842,plain, % 169.37/169.18 (P34(x128421,x128422,f103(x128421),f103(x128421))), % 169.37/169.18 inference(rename_variables,[],[3676])). % 169.37/169.18 cnf(12846,plain, % 169.37/169.18 (E(f317(f274(x128461,x128461),f253(x128461,x128462)),x128462)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12850,plain, % 169.37/169.18 (E(f317(f274(x128501,x128501),f253(x128501,x128502)),x128502)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12852,plain, % 169.37/169.18 (E(f317(f274(x128521,x128521),f253(x128521,x128522)),x128522)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12854,plain, % 169.37/169.18 (P28(x128541,x128541,f25(x128541),x128542,x128542)), % 169.37/169.18 inference(rename_variables,[],[4084])). % 169.37/169.18 cnf(12856,plain, % 169.37/169.18 (P28(x128561,x128561,f25(x128561),x128562,x128562)), % 169.37/169.18 inference(rename_variables,[],[4084])). % 169.37/169.18 cnf(12858,plain, % 169.37/169.18 (P28(x128581,x128581,f25(x128581),x128582,x128582)), % 169.37/169.18 inference(rename_variables,[],[4084])). % 169.37/169.18 cnf(12863,plain, % 169.37/169.18 (E(f317(f274(x128631,x128631),f253(x128631,x128632)),x128632)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12867,plain, % 169.37/169.18 (E(f317(f274(x128671,x128671),f253(x128671,x128672)),x128672)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12869,plain, % 169.37/169.18 (P55(x128691,x128692,f253(x128691,x128692))), % 169.37/169.18 inference(rename_variables,[],[3404])). % 169.37/169.18 cnf(12871,plain, % 169.37/169.18 (P55(x128711,x128712,f253(x128711,x128712))), % 169.37/169.18 inference(rename_variables,[],[3404])). % 169.37/169.18 cnf(12873,plain, % 169.37/169.18 (P55(x128731,x128732,f253(x128731,x128732))), % 169.37/169.18 inference(rename_variables,[],[3404])). % 169.37/169.18 cnf(12879,plain, % 169.37/169.18 (P39(x128791,f143(x128791,x128792))), % 169.37/169.18 inference(rename_variables,[],[3304])). % 169.37/169.18 cnf(12883,plain, % 169.37/169.18 (P58(x128831,f178(f906(x128831,a894)),x128832)), % 169.37/169.18 inference(rename_variables,[],[3453])). % 169.37/169.18 cnf(12898,plain, % 169.37/169.18 (E(f178(f906(f905(x128981,x128981),a894)),f253(x128981,f178(f906(x128981,a894))))), % 169.37/169.18 inference(rename_variables,[],[3502])). % 169.37/169.18 cnf(12902,plain, % 169.37/169.18 (E(f178(f906(f905(x129021,x129021),a894)),f253(x129021,f178(f906(x129021,a894))))), % 169.37/169.18 inference(rename_variables,[],[3502])). % 169.37/169.18 cnf(12904,plain, % 169.37/169.18 (E(f178(f906(f905(x129041,x129041),a894)),f253(x129041,f178(f906(x129041,a894))))), % 169.37/169.18 inference(rename_variables,[],[3502])). % 169.37/169.18 cnf(12906,plain, % 169.37/169.18 (P40(x129061,f253(x129061,x129062))), % 169.37/169.18 inference(rename_variables,[],[3305])). % 169.37/169.18 cnf(12922,plain, % 169.37/169.18 (P44(x129221,x129222,x129223,x129224,f178(f906(x129221,a894)),x129224)), % 169.37/169.18 inference(rename_variables,[],[4357])). % 169.37/169.18 cnf(12933,plain, % 169.37/169.18 (E(f317(f274(x129331,x129331),f253(x129331,x129332)),x129332)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(12944,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x129441),f2(a897)))), % 169.37/169.18 inference(rename_variables,[],[4612])). % 169.37/169.18 cnf(12946,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),a77),f2(a1)))), % 169.37/169.18 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3086,3093,3102,3103,3106,3110,3111,3112,3115,3121,3125,3142,3170,3171,3185,3190,3191,3193,3197,3198,3203,3205,3206,3216,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,3366,12623,12627,12631,3372,3381,3884,4186,3498,12685,12773,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,4016,4618,11221,11319,11552,11555,3825,3535,3750,3502,12898,12902,12904,3329,10531,10861,3330,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3647,4586,11626,3768,3727,3939,3986,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,4624,11745,11776,11813,11820,11853,3864,3635,4008,3461,3463,3437,4609,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,3492,10858,10891,10900,10903,10906,11482,12692,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,3906,4241,3977,4614,3917,3951,4600,4603,3411,3415,4602,4601,4364,3739,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,3872,11160,11166,11184,12174,12304,3723,12412,12529,12606,12661,12669,4198,3874,10897,11263,11424,11458,11469,12605,3583,3692,10810,10813,10909,11073,4633,11870,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,4204,3905,3850,4631,10483,10486,10852,10855,11742,11930,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,684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% 169.37/169.18 cnf(12953,plain, % 169.37/169.18 (~P1(f317(f317(f225(a1),f317(f90(a1),x129531)),f317(f73(a1),f317(f90(a1),x129532))))), % 169.37/169.18 inference(rename_variables,[],[4629])). % 169.37/169.18 cnf(12963,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x129631),f2(a897)))), % 169.37/169.18 inference(rename_variables,[],[4612])). % 169.37/169.18 cnf(12966,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x129661),f2(a897)))), % 169.37/169.18 inference(rename_variables,[],[4612])). % 169.37/169.18 cnf(12969,plain, % 169.37/169.18 (P1(f317(f28(a897),f295(a897,x129691,x129692)))), % 169.37/169.18 inference(rename_variables,[],[3636])). % 169.37/169.18 cnf(12972,plain, % 169.37/169.18 (P1(f317(f28(a897),f295(a897,x129721,x129722)))), % 169.37/169.18 inference(rename_variables,[],[3636])). % 169.37/169.18 cnf(12975,plain, % 169.37/169.18 (P1(f317(f28(a897),f295(a897,x129751,x129752)))), % 169.37/169.18 inference(rename_variables,[],[3636])). % 169.37/169.18 cnf(12978,plain, % 169.37/169.18 (P1(f317(f28(a897),f295(a897,x129781,x129782)))), % 169.37/169.18 inference(rename_variables,[],[3636])). % 169.37/169.18 cnf(12985,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),f317(f73(a1),f317(f90(a1),x129851))),f317(f90(a1),x129852)))), % 169.37/169.18 inference(rename_variables,[],[3906])). % 169.37/169.18 cnf(12987,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),f2(a1)),f317(f94(a1),f2(a1))))), % 169.37/169.18 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3086,3093,3102,3103,3106,3110,3111,3112,3115,3121,3125,3142,3170,3171,3185,3190,3191,3193,3197,3198,3202,3203,3205,3206,3216,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,3366,12623,12627,12631,3372,3381,3884,4186,3498,12685,12773,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,4016,4618,11221,11319,11552,11555,3825,3535,3750,3502,12898,12902,12904,3329,10531,10861,3330,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3647,4586,11626,3768,3727,3939,3986,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,4624,11745,11776,11813,11820,11853,3864,3635,3636,12969,12972,12975,4008,3461,3463,3437,4609,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,3492,10858,10891,10900,10903,10906,11482,12692,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,3906,11996,4241,3977,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,3739,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,3872,11160,11166,11184,12174,12304,3723,12412,12529,12606,12661,12669,4198,3874,10897,11263,11424,11458,11469,12605,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,4204,3905,3850,3851,4631,10483,10486,10852,10855,11742,11930,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6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% 169.37/169.18 cnf(12990,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x129901),f2(a897)))), % 169.37/169.18 inference(rename_variables,[],[4612])). % 169.37/169.18 cnf(12991,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x129911),x129911))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(12998,plain, % 169.37/169.18 (P1(f317(f317(f225(a897),x129981),f317(a102,x129981)))), % 169.37/169.18 inference(rename_variables,[],[3499])). % 169.37/169.18 cnf(13000,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),f2(a1)),a77))), % 169.37/169.18 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3086,3093,3102,3103,3106,3110,3111,3112,3115,3121,3125,3142,3170,3171,3185,3190,3191,3193,3197,3198,3202,3203,3205,3206,3216,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,3366,12623,12627,12631,3372,3381,3884,4186,3498,12685,12773,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,4016,4618,11221,11319,11552,11555,3825,3535,3750,3502,12898,12902,12904,3329,10531,10861,3330,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3647,4586,11626,3768,3727,3770,3939,3986,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,4624,11745,11776,11813,11820,11853,3864,3635,3636,12969,12972,12975,4008,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,3492,10858,10891,10900,10903,10906,11482,12692,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,3906,11996,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,3739,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,3872,11160,11166,11184,12174,12304,3723,12412,12529,12606,12661,12669,4198,3874,10897,11263,11424,11458,11469,12605,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,4204,3905,3850,3851,4631,10483,10486,10852,10855,11742,11930,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213])). % 169.37/169.18 cnf(13002,plain, % 169.37/169.18 (~P1(f317(f317(f225(a1),f2(a1)),f317(f94(a1),f2(a1))))), % 169.37/169.18 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3086,3093,3102,3103,3106,3110,3111,3112,3115,3121,3125,3142,3170,3171,3185,3190,3191,3193,3197,3198,3202,3203,3205,3206,3216,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,3366,12623,12627,12631,3372,3381,3884,4186,3498,12685,12773,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,4016,4618,11221,11319,11552,11555,3825,3535,3750,3502,12898,12902,12904,3329,10531,10861,3330,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3647,4586,11626,3768,3727,3770,3939,3986,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,4624,11745,11776,11813,11820,11853,3864,3635,3636,12969,12972,12975,4008,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,3436,12406,3507,12353,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,3492,10858,10891,10900,10903,10906,11482,12692,3531,3524,3943,3882,10510,11876,11904,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,3906,11996,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,3739,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,3872,11160,11166,11184,12174,12304,3723,12412,12529,12606,12661,12669,4198,3874,10897,11263,11424,11458,11469,12605,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,4204,3905,3850,3851,4631,10483,10486,10852,10855,11742,11930,4632,11850,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368])). % 169.37/169.18 cnf(13005,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),x130051),x130051))), % 169.37/169.18 inference(rename_variables,[],[3435])). % 169.37/169.18 cnf(13008,plain, % 169.37/169.18 (P1(f317(f28(a897),f295(a897,x130081,x130082)))), % 169.37/169.18 inference(rename_variables,[],[3636])). % 169.37/169.18 cnf(13011,plain, % 169.37/169.18 (P1(f317(f28(a897),f295(a897,x130111,x130112)))), % 169.37/169.18 inference(rename_variables,[],[3636])). % 169.37/169.18 cnf(13014,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x130141),x130141))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13031,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),f40(a897,x130311,x130312)),x130311))), % 169.37/169.18 inference(rename_variables,[],[3882])). % 169.37/169.18 cnf(13036,plain, % 169.37/169.18 (P1(f317(f317(f225(a897),x130361),f317(a102,x130361)))), % 169.37/169.18 inference(rename_variables,[],[3499])). % 169.37/169.18 cnf(13039,plain, % 169.37/169.18 (P1(f317(f317(f225(a897),x130391),f317(a102,x130391)))), % 169.37/169.18 inference(rename_variables,[],[3499])). % 169.37/169.18 cnf(13040,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x130401),f2(a897)))), % 169.37/169.18 inference(rename_variables,[],[4612])). % 169.37/169.18 cnf(13049,plain, % 169.37/169.18 (~P1(f317(f317(f225(a1),f317(f90(a1),x130491)),f2(a1)))), % 169.37/169.18 inference(rename_variables,[],[4624])). % 169.37/169.18 cnf(13050,plain, % 169.37/169.18 (P1(f317(f232(f906(x130501,a894)),x130502))), % 169.37/169.18 inference(rename_variables,[],[3492])). % 169.37/169.18 cnf(13053,plain, % 169.37/169.18 (~P1(f317(f317(f225(a1),f317(f90(a1),x130531)),f2(a1)))), % 169.37/169.18 inference(rename_variables,[],[4624])). % 169.37/169.18 cnf(13054,plain, % 169.37/169.18 (P1(f317(f232(f906(x130541,a894)),x130542))), % 169.37/169.18 inference(rename_variables,[],[3492])). % 169.37/169.18 cnf(13057,plain, % 169.37/169.18 (P1(f317(f232(f906(x130571,a894)),x130572))), % 169.37/169.18 inference(rename_variables,[],[3492])). % 169.37/169.18 cnf(13060,plain, % 169.37/169.18 (P1(f317(f232(f906(x130601,a894)),x130602))), % 169.37/169.18 inference(rename_variables,[],[3492])). % 169.37/169.18 cnf(13068,plain, % 169.37/169.18 (~P1(f317(f317(f319(x130681),x130682),f178(f906(x130681,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(13069,plain, % 169.37/169.18 (P1(f317(f28(x130691),f178(f906(x130691,a894))))), % 169.37/169.18 inference(rename_variables,[],[3507])). % 169.37/169.18 cnf(13072,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x130721),x130721))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13081,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),f2(a897)),x130811))), % 169.37/169.18 inference(rename_variables,[],[3455])). % 169.37/169.18 cnf(13084,plain, % 169.37/169.18 (~P1(f317(f317(f319(x130841),x130842),f178(f906(x130841,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(13087,plain, % 169.37/169.18 (~P1(f317(f317(f319(x130871),x130872),f178(f906(x130871,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(13092,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x130921),x130921))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13100,plain, % 169.37/169.18 (P1(f317(f317(f225(a897),x131001),f317(a102,x131001)))), % 169.37/169.18 inference(rename_variables,[],[3499])). % 169.37/169.18 cnf(13103,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x131031),x131031))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13108,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x131081),x131081))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13111,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x131111),x131111))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13114,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x131141),x131141))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13117,plain, % 169.37/169.18 (E(f317(f317(f23(f906(x131171,a894)),f178(f906(x131171,a894))),x131172),f178(f906(x131171,a894)))), % 169.37/169.18 inference(rename_variables,[],[3694])). % 169.37/169.18 cnf(13118,plain, % 169.37/169.18 (P1(f317(f28(x131181),f178(f906(x131181,a894))))), % 169.37/169.18 inference(rename_variables,[],[3507])). % 169.37/169.18 cnf(13121,plain, % 169.37/169.18 (E(f317(f317(f23(f906(x131211,a894)),f178(f906(x131211,a894))),x131212),f178(f906(x131211,a894)))), % 169.37/169.18 inference(rename_variables,[],[3694])). % 169.37/169.18 cnf(13122,plain, % 169.37/169.18 (P1(f317(f28(x131221),f178(f906(x131221,a894))))), % 169.37/169.18 inference(rename_variables,[],[3507])). % 169.37/169.18 cnf(13125,plain, % 169.37/169.18 (E(f317(f317(f23(f906(x131251,a894)),f178(f906(x131251,a894))),x131252),f178(f906(x131251,a894)))), % 169.37/169.18 inference(rename_variables,[],[3694])). % 169.37/169.18 cnf(13126,plain, % 169.37/169.18 (P1(f317(f28(x131261),f178(f906(x131261,a894))))), % 169.37/169.18 inference(rename_variables,[],[3507])). % 169.37/169.18 cnf(13129,plain, % 169.37/169.18 (E(f317(f317(f23(f906(x131291,a894)),f178(f906(x131291,a894))),x131292),f178(f906(x131291,a894)))), % 169.37/169.18 inference(rename_variables,[],[3694])). % 169.37/169.18 cnf(13130,plain, % 169.37/169.18 (P1(f317(f28(x131301),f178(f906(x131301,a894))))), % 169.37/169.18 inference(rename_variables,[],[3507])). % 169.37/169.18 cnf(13134,plain, % 169.37/169.18 (E(f317(f274(x131341,x131341),f253(x131341,x131342)),x131342)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.37/169.18 cnf(13139,plain, % 169.37/169.18 (E(f317(f317(f23(f906(x131391,a894)),f178(f906(x131391,a894))),x131392),f178(f906(x131391,a894)))), % 169.37/169.18 inference(rename_variables,[],[3694])). % 169.37/169.18 cnf(13140,plain, % 169.37/169.18 (P1(f317(f28(x131401),f178(f906(x131401,a894))))), % 169.37/169.18 inference(rename_variables,[],[3507])). % 169.37/169.18 cnf(13144,plain, % 169.37/169.18 (P1(f317(f28(x131441),f178(f906(x131441,a894))))), % 169.37/169.18 inference(rename_variables,[],[3507])). % 169.37/169.18 cnf(13147,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x131471),x131471))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13151,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),x131511),x131511))), % 169.37/169.18 inference(rename_variables,[],[3435])). % 169.37/169.18 cnf(13158,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x131581),x131581))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13171,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),x131711),x131711))), % 169.37/169.18 inference(rename_variables,[],[3435])). % 169.37/169.18 cnf(13184,plain, % 169.37/169.18 (~P1(f317(f317(f319(x131841),x131842),f178(f906(x131841,a894))))), % 169.37/169.18 inference(rename_variables,[],[4620])). % 169.37/169.18 cnf(13195,plain, % 169.37/169.18 (P1(f317(f317(f319(x131951),x131952),f232(f906(x131951,a894))))), % 169.37/169.18 inference(rename_variables,[],[3582])). % 169.37/169.18 cnf(13196,plain, % 169.37/169.18 (E(f317(f182(x131961,x131962),x131963),f111(x131961,x131962))), % 169.37/169.18 inference(rename_variables,[],[3349])). % 169.37/169.18 cnf(13199,plain, % 169.37/169.18 (P1(f317(f317(f319(x131991),f317(x131992,x131993)),f317(f300(x131994,x131991,x131992),f232(f906(x131994,a894)))))), % 169.37/169.18 inference(rename_variables,[],[4026])). % 169.37/169.18 cnf(13203,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x132031,a894)),x132032),f232(f906(x132031,a894))))), % 169.37/169.18 inference(rename_variables,[],[3808])). % 169.37/169.18 cnf(13206,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x132061,a894)),x132062),x132062))), % 169.37/169.18 inference(rename_variables,[],[3723])). % 169.37/169.18 cnf(13212,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x132121),f2(a897)))), % 169.37/169.18 inference(rename_variables,[],[4612])). % 169.37/169.18 cnf(13213,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),x132131),x132131))), % 169.37/169.18 inference(rename_variables,[],[3435])). % 169.37/169.18 cnf(13217,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x132171),f2(a897)))), % 169.37/169.18 inference(rename_variables,[],[4612])). % 169.37/169.18 cnf(13218,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),x132181),x132181))), % 169.37/169.18 inference(rename_variables,[],[3435])). % 169.37/169.18 cnf(13223,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x132231),x132231))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13230,plain, % 169.37/169.18 (E(f317(f317(f16(x132301,x132302),x132303),x132304),x132303)), % 169.37/169.18 inference(rename_variables,[],[3425])). % 169.37/169.18 cnf(13233,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x132331,a894)),f317(f162(x132331),f166(x132331,x132332,x132333))),f317(f162(x132331),x132332)))), % 169.37/169.18 inference(rename_variables,[],[4116])). % 169.37/169.18 cnf(13240,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x132401),f2(a897)))), % 169.37/169.18 inference(rename_variables,[],[4612])). % 169.37/169.18 cnf(13241,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),x132411),x132411))), % 169.37/169.18 inference(rename_variables,[],[3435])). % 169.37/169.18 cnf(13245,plain, % 169.37/169.18 (~P1(f317(f317(f225(a897),x132451),f2(a897)))), % 169.37/169.18 inference(rename_variables,[],[4612])). % 169.37/169.18 cnf(13246,plain, % 169.37/169.18 (P1(f317(f317(f224(a1),x132461),x132461))), % 169.37/169.18 inference(rename_variables,[],[3435])). % 169.37/169.18 cnf(13250,plain, % 169.37/169.18 (~P1(f317(f317(f224(f906(a897,a894)),f293(a897,f317(a102,x132501),f317(a102,x132501))),f293(a897,x132502,x132501)))), % 169.37/169.18 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3086,3090,3093,3099,3102,3103,3106,3110,3111,3112,3115,3117,3121,3122,3125,3142,3146,3155,3161,3170,3171,3182,3185,3190,3191,3192,3193,3197,3198,3202,3203,3204,3205,3206,3216,3226,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,12933,3366,12623,12627,12631,3372,3381,3884,4186,3349,13196,3498,12685,12773,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,11972,4016,4618,11221,11319,11552,11555,3825,3535,3750,3502,12898,12902,12904,3329,10531,10861,3330,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3647,4586,11626,3768,3727,3770,3939,3694,13117,13121,13125,13129,13139,3986,12462,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,12998,13036,13039,13100,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,12990,13040,13212,13217,13240,4624,11745,11776,11813,11820,11853,13049,13053,3864,3635,3636,12969,12972,12975,12978,13008,4008,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,12715,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,12991,13014,13072,13092,13103,13108,13111,13114,13147,13158,13223,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,12247,13005,13151,13171,13213,13218,13241,3436,12406,12409,3507,12353,13069,13118,13122,13126,13130,13140,13144,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,12782,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,12785,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,12792,13068,13084,13087,3492,10858,10891,10900,10903,10906,11482,12692,12708,13050,13054,13057,13060,3531,3524,3943,3882,10510,11876,11904,13031,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,12480,3906,11996,12985,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,3739,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,12700,3872,11160,11166,11184,12174,12304,3723,12412,12529,12606,12661,12669,12789,4198,3874,10897,11263,11424,11458,11469,12605,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,4204,3905,12795,3850,3851,4631,10483,10486,10852,10855,11742,11930,12737,4632,11850,11935,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6922,6936,6992,7012,7013,7019,7041,7074,7076,7080,7124,7144,7145,7162,7163,7201,7246,7247,7344,7413,7414,7415,7416,7433,7466,7519,7520,7528,7533,7534,7545,7575,7576,7577,7578,7724,7726,7727,7728,7734,7735,7809,7941,7944,7950,7951,7962,8000,8001,8079,8119,8173,8195,8196,8273,8368,8439,8440,8444,8478,8514,8540,8541,8608,8626])). % 169.37/169.18 cnf(13251,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x132511),x132511))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13253,plain, % 169.37/169.18 (~P1(f317(f317(f225(f906(a897,a894)),f293(a897,f317(a102,x132531),f317(a102,x132531))),f293(a897,x132532,x132531)))), % 169.37/169.18 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3086,3090,3093,3099,3102,3103,3106,3110,3111,3112,3115,3117,3121,3122,3125,3142,3146,3155,3161,3170,3171,3182,3185,3190,3191,3192,3193,3197,3198,3202,3203,3204,3205,3206,3216,3226,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,12933,3366,12623,12627,12631,3372,3381,3884,4186,3349,13196,3498,12685,12773,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,11972,4016,4618,11221,11319,11552,11555,3825,3535,3750,3502,12898,12902,12904,3329,10531,10861,3330,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3647,4586,11626,3768,3727,3770,3939,3694,13117,13121,13125,13129,13139,3986,12462,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,12998,13036,13039,13100,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,12990,13040,13212,13217,13240,4624,11745,11776,11813,11820,11853,13049,13053,3864,3635,3636,12969,12972,12975,12978,13008,4008,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,12715,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,12991,13014,13072,13092,13103,13108,13111,13114,13147,13158,13223,13251,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,12247,13005,13151,13171,13213,13218,13241,3436,12406,12409,3507,12353,13069,13118,13122,13126,13130,13140,13144,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,12782,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,12785,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,12792,13068,13084,13087,3492,10858,10891,10900,10903,10906,11482,12692,12708,13050,13054,13057,13060,3531,3524,3943,3882,10510,11876,11904,13031,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,3455,10894,11047,11117,11905,12054,12252,12455,12480,3906,11996,12985,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,3739,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,12700,3872,11160,11166,11184,12174,12304,3723,12412,12529,12606,12661,12669,12789,4198,3874,10897,11263,11424,11458,11469,12605,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,4204,3905,12795,3850,3851,4631,10483,10486,10852,10855,11742,11930,12737,4632,11850,11935,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6922,6936,6992,7012,7013,7019,7041,7074,7076,7080,7124,7144,7145,7162,7163,7201,7246,7247,7344,7413,7414,7415,7416,7433,7466,7519,7520,7528,7533,7534,7545,7575,7576,7577,7578,7724,7726,7727,7728,7734,7735,7809,7941,7944,7950,7951,7962,8000,8001,8079,8119,8173,8195,8196,8273,8368,8439,8440,8444,8478,8514,8540,8541,8608,8626,8627])). % 169.37/169.18 cnf(13254,plain, % 169.37/169.18 (P1(f317(f317(f224(a897),x132541),x132541))), % 169.37/169.18 inference(rename_variables,[],[3434])). % 169.37/169.18 cnf(13257,plain, % 169.37/169.18 (~P1(f317(f317(f224(a897),f317(a102,x132571)),x132571))), % 169.37/169.18 inference(rename_variables,[],[4617])). % 169.37/169.18 cnf(13262,plain, % 169.37/169.18 (E(x132621,f453(f317(f5(x132622),f317(f5(x132622),x132621)),f5(x132622),x132622,x132622))), % 169.37/169.18 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,12833,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3086,3090,3093,3099,3102,3103,3106,3110,3111,3112,3115,3117,3121,3122,3125,3142,3146,3155,3161,3170,3171,3182,3185,3190,3191,3192,3193,3197,3198,3202,3203,3204,3205,3206,3216,3226,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,12933,3366,12623,12627,12631,3372,3381,3884,4186,3349,13196,3498,12685,12773,3269,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,11972,4016,4618,11221,11319,11552,11555,3825,3535,3750,3502,12898,12902,12904,3329,10531,10861,3330,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3647,4586,11626,3768,3727,3770,3939,3694,13117,13121,13125,13129,13139,3986,12462,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,12998,13036,13039,13100,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,12990,13040,13212,13217,13240,4624,11745,11776,11813,11820,11853,13049,13053,3864,3635,3636,12969,12972,12975,12978,13008,4008,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,12715,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,4116,11244,12361,12435,12495,12537,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,4628,10993,11395,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,12991,13014,13072,13092,13103,13108,13111,13114,13147,13158,13223,13251,13254,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,12247,13005,13151,13171,13213,13218,13241,3436,12406,12409,3507,12353,13069,13118,13122,13126,13130,13140,13144,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,12782,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,12785,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,12792,13068,13084,13087,3492,10858,10891,10900,10903,10906,11482,12692,12708,13050,13054,13057,13060,3531,3524,3943,3882,10510,11876,11904,13031,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,13257,3455,10894,11047,11117,11905,12054,12252,12455,12480,3906,11996,12985,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,3739,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,12700,13199,3872,11160,11166,11184,12174,12304,3723,12412,12529,12606,12661,12669,12789,4198,3874,10897,11263,11424,11458,11469,12605,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,4204,3905,12795,3850,3851,4631,10483,10486,10852,10855,11742,11930,12737,4632,11850,11935,3875,10816,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6922,6936,6992,7012,7013,7019,7041,7074,7076,7080,7124,7144,7145,7162,7163,7201,7246,7247,7344,7413,7414,7415,7416,7433,7466,7519,7520,7528,7533,7534,7545,7575,7576,7577,7578,7724,7726,7727,7728,7734,7735,7809,7941,7944,7950,7951,7962,8000,8001,8079,8119,8173,8195,8196,8273,8368,8439,8440,8444,8478,8514,8540,8541,8608,8626,8627,8628,8629,8779])). % 169.37/169.18 cnf(13263,plain, % 169.37/169.18 (P1(f317(f317(f319(x132631),f317(x132632,x132633)),f317(f300(x132634,x132631,x132632),f232(f906(x132634,a894)))))), % 169.37/169.18 inference(rename_variables,[],[4026])). % 169.37/169.18 cnf(13264,plain, % 169.37/169.18 (P27(x132641,x132641,f5(x132641),x132642)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(13269,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x132691,a894)),x132692),f232(f906(x132691,a894))))), % 169.37/169.18 inference(rename_variables,[],[3808])). % 169.37/169.18 cnf(13270,plain, % 169.37/169.18 (P27(x132701,x132701,f5(x132701),x132702)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(13274,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x132741,a894)),x132742),f232(f906(x132741,a894))))), % 169.37/169.18 inference(rename_variables,[],[3808])). % 169.37/169.18 cnf(13275,plain, % 169.37/169.18 (P27(x132751,x132751,f5(x132751),x132752)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(13279,plain, % 169.37/169.18 (P27(x132791,x132791,f5(x132791),x132792)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(13282,plain, % 169.37/169.18 (~P1(f317(f317(f225(f906(x132821,a894)),x132822),f178(f906(x132821,a894))))), % 169.37/169.18 inference(rename_variables,[],[4628])). % 169.37/169.18 cnf(13285,plain, % 169.37/169.18 (P27(x132851,x132851,f5(x132851),x132852)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(13288,plain, % 169.37/169.18 (P27(x132881,x132881,f5(x132881),x132882)), % 169.37/169.18 inference(rename_variables,[],[3667])). % 169.37/169.18 cnf(13294,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x132941,a894)),x132942),f232(f906(x132941,a894))))), % 169.37/169.18 inference(rename_variables,[],[3808])). % 169.37/169.18 cnf(13299,plain, % 169.37/169.18 (P1(f317(f317(f224(f906(x132991,a894)),f178(f906(x132991,a894))),x132992))), % 169.37/169.18 inference(rename_variables,[],[3874])). % 169.37/169.18 cnf(13303,plain, % 169.37/169.18 (E(f317(f274(x133031,x133031),f253(x133031,x133032)),x133032)), % 169.37/169.18 inference(rename_variables,[],[3395])). % 169.47/169.18 cnf(13307,plain, % 169.47/169.18 (~P1(f317(f317(f319(x133071),x133072),f178(f906(x133071,a894))))), % 169.47/169.18 inference(rename_variables,[],[4620])). % 169.47/169.18 cnf(13312,plain, % 169.47/169.18 (P27(x133121,x133121,f5(x133121),x133122)), % 169.47/169.18 inference(rename_variables,[],[3667])). % 169.47/169.18 cnf(13315,plain, % 169.47/169.18 (P1(f317(f317(f224(f906(x133151,a894)),x133152),f232(f906(x133151,a894))))), % 169.47/169.18 inference(rename_variables,[],[3808])). % 169.47/169.18 cnf(13323,plain, % 169.47/169.18 (E(f317(f317(f16(x133231,x133232),x133233),x133234),x133233)), % 169.47/169.18 inference(rename_variables,[],[3425])). % 169.47/169.18 cnf(13326,plain, % 169.47/169.18 (~P1(f317(f317(f319(x133261),x133262),f178(f906(x133261,a894))))), % 169.47/169.18 inference(rename_variables,[],[4620])). % 169.47/169.18 cnf(13329,plain, % 169.47/169.18 (~P1(f317(f317(f319(x133291),x133292),f178(f906(x133291,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(13334,plain, % 169.47/169.19 (~E(f317(a102,x133341),x133341)), % 169.47/169.19 inference(rename_variables,[],[4575])). % 169.47/169.19 cnf(13337,plain, % 169.47/169.19 (P1(f317(f317(f225(a897),x133371),f317(a102,x133371)))), % 169.47/169.19 inference(rename_variables,[],[3499])). % 169.47/169.19 cnf(13338,plain, % 169.47/169.19 (~E(f317(a102,x133381),x133381)), % 169.47/169.19 inference(rename_variables,[],[4575])). % 169.47/169.19 cnf(13341,plain, % 169.47/169.19 (P1(f317(f317(f225(a897),x133411),f317(a102,f317(f317(f74(a897),x133412),x133411))))), % 169.47/169.19 inference(rename_variables,[],[3875])). % 169.47/169.19 cnf(13342,plain, % 169.47/169.19 (P1(f317(f317(f225(a897),x133421),f317(a102,x133421)))), % 169.47/169.19 inference(rename_variables,[],[3499])). % 169.47/169.19 cnf(13351,plain, % 169.47/169.19 (P1(f317(f317(f224(a1),f2(a1)),f317(f90(a1),x133511)))), % 169.47/169.19 inference(rename_variables,[],[3531])). % 169.47/169.19 cnf(13354,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),f2(a897)),x133541))), % 169.47/169.19 inference(rename_variables,[],[3455])). % 169.47/169.19 cnf(13358,plain, % 169.47/169.19 (~E(f317(a102,x133581),f2(a897))), % 169.47/169.19 inference(rename_variables,[],[4581])). % 169.47/169.19 cnf(13361,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x133611,a894)),f317(f162(x133611),f166(x133611,x133612,x133613))),f317(f162(x133611),x133612)))), % 169.47/169.19 inference(rename_variables,[],[4116])). % 169.47/169.19 cnf(13366,plain, % 169.47/169.19 (~P1(f317(f317(f319(x133661),x133662),f178(f906(x133661,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(13369,plain, % 169.47/169.19 (P1(f317(f28(a897),f295(a897,x133691,x133692)))), % 169.47/169.19 inference(rename_variables,[],[3636])). % 169.47/169.19 cnf(13370,plain, % 169.47/169.19 (E(f317(f317(f228(a897),f317(a102,x133701)),f317(a102,x133702)),f317(a102,f317(f317(f228(a897),x133701),x133702)))), % 169.47/169.19 inference(rename_variables,[],[3600])). % 169.47/169.19 cnf(13373,plain, % 169.47/169.19 (P1(f317(f28(a897),f295(a897,x133731,x133732)))), % 169.47/169.19 inference(rename_variables,[],[3636])). % 169.47/169.19 cnf(13374,plain, % 169.47/169.19 (E(f317(f317(f223(a897),f317(a102,x133741)),f317(a102,x133742)),f317(a102,f317(f317(f223(a897),x133741),x133742)))), % 169.47/169.19 inference(rename_variables,[],[3601])). % 169.47/169.19 cnf(13377,plain, % 169.47/169.19 (P1(f317(f28(a897),f295(a897,x133771,x133772)))), % 169.47/169.19 inference(rename_variables,[],[3636])). % 169.47/169.19 cnf(13386,plain, % 169.47/169.19 (~P1(f317(f317(f319(x133861),x133862),f178(f906(x133861,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(13387,plain, % 169.47/169.19 (E(f317(f317(f16(x133871,x133872),x133873),x133874),x133873)), % 169.47/169.19 inference(rename_variables,[],[3425])). % 169.47/169.19 cnf(13390,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x133901,a894)),f317(f162(x133901),f317(f126(x133901,x133902),x133903))),f317(f162(x133901),x133903)))), % 169.47/169.19 inference(rename_variables,[],[4069])). % 169.47/169.19 cnf(13391,plain, % 169.47/169.19 (E(f317(f317(f16(x133911,x133912),x133913),x133914),x133913)), % 169.47/169.19 inference(rename_variables,[],[3425])). % 169.47/169.19 cnf(13394,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x133941,a894)),f317(f162(x133941),f317(f317(f165(x133941),x133942),x133943))),f317(f162(x133941),x133943)))), % 169.47/169.19 inference(rename_variables,[],[4111])). % 169.47/169.19 cnf(13395,plain, % 169.47/169.19 (E(f317(f317(f16(x133951,x133952),x133953),x133954),x133953)), % 169.47/169.19 inference(rename_variables,[],[3425])). % 169.47/169.19 cnf(13399,plain, % 169.47/169.19 (E(f317(f317(f16(x133991,x133992),x133993),x133994),x133993)), % 169.47/169.19 inference(rename_variables,[],[3425])). % 169.47/169.19 cnf(13412,plain, % 169.47/169.19 (P1(f317(f317(f224(a1),f2(a1)),f317(f90(a1),x134121)))), % 169.47/169.19 inference(rename_variables,[],[3531])). % 169.47/169.19 cnf(13417,plain, % 169.47/169.19 (P27(x134171,x134171,f5(x134171),x134172)), % 169.47/169.19 inference(rename_variables,[],[3667])). % 169.47/169.19 cnf(13420,plain, % 169.47/169.19 (~P1(f317(f317(f319(x134201),x134202),f178(f906(x134201,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(13421,plain, % 169.47/169.19 (E(f317(f274(x134211,x134211),f253(x134211,x134212)),x134212)), % 169.47/169.19 inference(rename_variables,[],[3395])). % 169.47/169.19 cnf(13422,plain, % 169.47/169.19 (P27(x134221,x134221,f5(x134221),x134222)), % 169.47/169.19 inference(rename_variables,[],[3667])). % 169.47/169.19 cnf(13426,plain, % 169.47/169.19 (E(f317(f274(x134261,x134261),f253(x134261,x134262)),x134262)), % 169.47/169.19 inference(rename_variables,[],[3395])). % 169.47/169.19 cnf(13431,plain, % 169.47/169.19 (P1(f317(f317(f225(f906(a1,a894)),f293(a1,f72(a1),f2(a1))),f293(a1,f2(a1),f72(a1))))), % 169.47/169.19 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,12858,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,12833,13264,13270,13275,13279,13285,13288,13312,13417,13422,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,12798,13334,13338,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,11295,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3086,3090,3091,3093,3099,3102,3103,3106,3110,3111,3112,3115,3117,3121,3122,3125,3129,3142,3146,3155,3161,3170,3171,3182,3185,3190,3191,3192,3193,3197,3198,3202,3203,3204,3205,3206,3216,3226,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,12933,13134,13303,13421,3366,12623,12627,12631,3372,3381,3884,4186,3349,13196,3498,12685,12773,3269,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,11972,13230,13323,13387,13391,13395,13399,4016,4618,11221,11319,11552,11555,3400,3825,3420,3535,3750,3527,3502,12898,12902,12904,3329,10531,10861,3330,4606,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,11438,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3647,4586,11626,3768,3727,3770,3939,3694,13117,13121,13125,13129,13139,3986,12462,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,12998,13036,13039,13100,13337,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,12990,13040,13212,13217,13240,4624,11745,11776,11813,11820,11853,13049,13053,3864,3635,3636,12969,12972,12975,12978,13008,13011,13369,13373,13377,4008,3600,13370,3601,13374,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,12715,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,12641,13390,4111,13394,4116,11244,12361,12435,12495,12537,13233,13361,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,13203,13269,13274,13294,13315,4628,10993,11395,12499,13282,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,12991,13014,13072,13092,13103,13108,13111,13114,13147,13158,13223,13251,13254,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,12247,13005,13151,13171,13213,13218,13241,3436,12406,12409,3507,12353,13069,13118,13122,13126,13130,13140,13144,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,12782,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,12785,13195,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,12792,13068,13084,13087,13184,13307,13326,13329,13366,13386,13420,3492,10858,10891,10900,10903,10906,11482,12692,12708,13050,13054,13057,13060,3531,13351,3524,3943,3882,10510,11876,11904,13031,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,13257,3455,10894,11047,11117,11905,12054,12252,12455,12480,13081,3906,11996,12985,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,4408,3739,11869,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,12700,13199,13263,3872,11160,11166,11184,12174,12304,12666,3723,12412,12529,12606,12661,12669,12789,13206,4198,3874,10897,11263,11424,11458,11469,12605,12655,13299,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,12507,4204,3905,12795,3850,3851,4631,10483,10486,10852,10855,11742,11930,12737,4632,11850,11935,3875,10816,11079,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6922,6936,6992,7012,7013,7019,7041,7074,7076,7080,7124,7144,7145,7162,7163,7201,7246,7247,7344,7413,7414,7415,7416,7433,7466,7519,7520,7528,7533,7534,7545,7575,7576,7577,7578,7724,7726,7727,7728,7734,7735,7809,7941,7944,7950,7951,7962,8000,8001,8079,8119,8173,8195,8196,8273,8368,8439,8440,8444,8478,8514,8540,8541,8608,8626,8627,8628,8629,8779,9037,9038,9107,9121,9175,9176,9296,9331,9358,9394,9435,9639,9763,9906,10092,10148,10150,5965,6521,6522,6614,6634,6635,7065,7284,8621,8700,8947,9131,9132,9202,9203,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8532])). % 169.47/169.19 cnf(13433,plain, % 169.47/169.19 (P1(f317(f317(f225(f906(a1,a894)),f293(a1,f2(a1),f2(a1))),f293(a1,f317(f73(a1),f317(f90(a1),f317(a102,x134331))),f2(a1))))), % 169.47/169.19 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,12858,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,12833,13264,13270,13275,13279,13285,13288,13312,13417,13422,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,12798,13334,13338,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,11295,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3086,3090,3091,3093,3099,3102,3103,3106,3110,3111,3112,3115,3117,3121,3122,3125,3129,3142,3146,3155,3161,3170,3171,3182,3185,3190,3191,3192,3193,3197,3198,3202,3203,3204,3205,3206,3216,3226,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,12933,13134,13303,13421,3366,12623,12627,12631,3372,3381,3884,4186,3349,13196,3498,12685,12773,3269,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,11972,13230,13323,13387,13391,13395,13399,4016,4618,11221,11319,11552,11555,3400,3825,3420,3535,3750,3527,3502,12898,12902,12904,3329,10531,10861,3330,4606,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,11438,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3647,4586,11626,3768,3727,3770,3939,3694,13117,13121,13125,13129,13139,3986,12462,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,12998,13036,13039,13100,13337,3877,11873,3418,3511,11702,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,12990,13040,13212,13217,13240,4624,11745,11776,11813,11820,11853,13049,13053,3864,3635,3636,12969,12972,12975,12978,13008,13011,13369,13373,13377,4008,3600,13370,3601,13374,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,12715,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,12641,13390,4111,13394,4116,11244,12361,12435,12495,12537,13233,13361,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,13203,13269,13274,13294,13315,4628,10993,11395,12499,13282,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,12991,13014,13072,13092,13103,13108,13111,13114,13147,13158,13223,13251,13254,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,12247,13005,13151,13171,13213,13218,13241,13246,3436,12406,12409,3507,12353,13069,13118,13122,13126,13130,13140,13144,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,12782,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,12785,13195,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,12792,13068,13084,13087,13184,13307,13326,13329,13366,13386,13420,3492,10858,10891,10900,10903,10906,11482,12692,12708,13050,13054,13057,13060,3531,13351,3524,3943,3882,10510,11876,11904,13031,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,13257,3455,10894,11047,11117,11905,12054,12252,12455,12480,13081,3906,11996,12985,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,4408,3739,11869,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,12700,13199,13263,3872,11160,11166,11184,12174,12304,12666,3723,12412,12529,12606,12661,12669,12789,13206,4198,3874,10897,11263,11424,11458,11469,12605,12655,13299,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,12507,4204,3905,12795,3850,3851,4631,10483,10486,10852,10855,11742,11930,12737,4632,11850,11935,3875,10816,11079,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6922,6936,6992,7012,7013,7019,7041,7074,7076,7080,7124,7144,7145,7162,7163,7201,7246,7247,7344,7413,7414,7415,7416,7433,7466,7519,7520,7528,7533,7534,7545,7575,7576,7577,7578,7724,7726,7727,7728,7734,7735,7809,7941,7944,7950,7951,7962,8000,8001,8079,8119,8173,8195,8196,8273,8368,8439,8440,8444,8478,8514,8540,8541,8608,8626,8627,8628,8629,8779,9037,9038,9107,9121,9175,9176,9296,9331,9358,9394,9435,9639,9763,9906,10092,10148,10150,5965,6521,6522,6614,6634,6635,7065,7284,8621,8700,8947,9131,9132,9202,9203,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8532,8533])). % 169.47/169.19 cnf(13440,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),f2(a897)),x134401))), % 169.47/169.19 inference(rename_variables,[],[3455])). % 169.47/169.19 cnf(13441,plain, % 169.47/169.19 (P1(f317(f317(f225(a897),f2(a897)),f317(a102,x134411)))), % 169.47/169.19 inference(rename_variables,[],[3511])). % 169.47/169.19 cnf(13442,plain, % 169.47/169.19 (E(f317(f274(x134421,x134421),f253(x134421,x134422)),x134422)), % 169.47/169.19 inference(rename_variables,[],[3395])). % 169.47/169.19 cnf(13445,plain, % 169.47/169.19 (P1(f317(f43(f317(f274(x134451,x134451),f253(x134451,f317(f317(f74(a897),f317(f317(f75(a897),f317(f241(a897,a897),f317(f317(f242(a897,a897),f2(a897)),x134452))),f317(a102,f317(f317(f74(a897),x134453),f317(f246(a897,a897),f317(f317(f242(a897,a897),f2(a897)),x134452)))))),f317(f246(a897,a897),f317(f317(f242(a897,a897),f2(a897)),x134452))))),f317(a102,f317(f317(f74(a897),x134453),f317(f246(a897,a897),f317(f317(f242(a897,a897),f2(a897)),x134452))))),f317(f317(f242(a897,a897),f2(a897)),x134452)))), % 169.47/169.19 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,12858,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,12833,13264,13270,13275,13279,13285,13288,13312,13417,13422,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,12798,13334,13338,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,11295,13358,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3086,3090,3091,3093,3099,3102,3103,3106,3110,3111,3112,3115,3117,3121,3122,3125,3129,3142,3146,3155,3161,3170,3171,3182,3185,3190,3191,3192,3193,3197,3198,3202,3203,3204,3205,3206,3216,3226,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,12933,13134,13303,13421,13426,13442,3366,12623,12627,12631,3372,3381,3884,4186,3349,13196,3498,12685,12773,3269,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,11972,13230,13323,13387,13391,13395,13399,4016,4618,11221,11319,11552,11555,3400,3825,3420,3535,3750,3527,3502,12898,12902,12904,3329,10531,10861,3330,4606,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,11438,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3610,3647,4586,11626,3768,3727,3770,3939,3694,13117,13121,13125,13129,13139,3986,12462,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,12998,13036,13039,13100,13337,13342,3877,11873,3418,3511,11702,11984,13441,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,12990,13040,13212,13217,13240,4624,11745,11776,11813,11820,11853,13049,13053,3864,3635,3636,12969,12972,12975,12978,13008,13011,13369,13373,13377,4008,3600,13370,3601,13374,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,12715,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,12641,13390,4111,13394,4116,11244,12361,12435,12495,12537,13233,13361,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,13203,13269,13274,13294,13315,4628,10993,11395,12499,13282,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,12991,13014,13072,13092,13103,13108,13111,13114,13147,13158,13223,13251,13254,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,12247,13005,13151,13171,13213,13218,13241,13246,3436,12406,12409,3507,12353,13069,13118,13122,13126,13130,13140,13144,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,12782,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,12785,13195,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,12792,13068,13084,13087,13184,13307,13326,13329,13366,13386,13420,3492,10858,10891,10900,10903,10906,11482,12692,12708,13050,13054,13057,13060,3531,13351,3524,3943,3882,10510,11876,11904,13031,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,13257,3455,10894,11047,11117,11905,12054,12252,12455,12480,13081,13354,13440,3906,11996,12985,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,4408,3739,11869,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,12700,13199,13263,3872,11160,11166,11184,12174,12304,12666,3723,12412,12529,12606,12661,12669,12789,13206,4198,3874,10897,11263,11424,11458,11469,12605,12655,13299,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,12507,4204,3905,12795,3850,3851,4631,10483,10486,10852,10855,11742,11930,12737,4632,11850,11935,3875,10816,11079,13341,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134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8,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6922,6936,6992,7012,7013,7019,7041,7074,7076,7080,7124,7144,7145,7162,7163,7201,7246,7247,7344,7413,7414,7415,7416,7433,7466,7519,7520,7528,7533,7534,7545,7575,7576,7577,7578,7724,7726,7727,7728,7734,7735,7809,7941,7944,7950,7951,7962,8000,8001,8079,8119,8173,8195,8196,8273,8368,8439,8440,8444,8478,8514,8540,8541,8608,8626,8627,8628,8629,8779,9037,9038,9107,9121,9175,9176,9296,9331,9358,9394,9435,9639,9763,9906,10092,10148,10150,5965,6521,6522,6614,6634,6635,7065,7284,8621,8700,8947,9131,9132,9202,9203,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8532,8533,9003,9021])). % 169.47/169.19 cnf(13525,plain, % 169.47/169.19 (P1(f317(f317(f225(a1),f2(a1)),f317(f70(a1),f72(a1))))), % 169.47/169.19 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,12858,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,12833,13264,13270,13275,13279,13285,13288,13312,13417,13422,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,12798,13334,13338,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,11295,13358,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3081,3086,3090,3091,3093,3097,3099,3102,3103,3106,3110,3111,3112,3115,3117,3121,3122,3125,3129,3142,3146,3155,3161,3170,3171,3182,3185,3190,3191,3192,3193,3197,3198,3202,3203,3204,3205,3206,3216,3226,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,12933,13134,13303,13421,13426,13442,3366,12623,12627,12631,3372,3381,3884,4186,3349,13196,3498,12685,12773,3269,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,11972,13230,13323,13387,13391,13395,13399,4016,4618,11221,11319,11552,11555,3400,3825,3420,3535,3750,3527,3502,12898,12902,12904,3329,10531,10861,3330,4606,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,11438,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3610,3647,4586,11626,3768,3727,3770,3939,3694,13117,13121,13125,13129,13139,3986,12462,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,12998,13036,13039,13100,13337,13342,3877,11873,3418,3511,11702,11984,13441,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,12990,13040,13212,13217,13240,13245,4624,11745,11776,11813,11820,11853,13049,13053,3864,3635,3636,12969,12972,12975,12978,13008,13011,13369,13373,13377,4008,3600,13370,3601,13374,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,12715,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,12641,13390,4111,13394,4116,11244,12361,12435,12495,12537,13233,13361,4117,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,13203,13269,13274,13294,13315,4628,10993,11395,12499,13282,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,12991,13014,13072,13092,13103,13108,13111,13114,13147,13158,13223,13251,13254,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,12247,13005,13151,13171,13213,13218,13241,13246,3436,12406,12409,3507,12353,13069,13118,13122,13126,13130,13140,13144,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,12782,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,12785,13195,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,12792,13068,13084,13087,13184,13307,13326,13329,13366,13386,13420,3492,10858,10891,10900,10903,10906,11482,12692,12708,13050,13054,13057,13060,3531,13351,13412,3524,3943,3882,10510,11876,11904,13031,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,13257,3455,10894,11047,11117,11905,12054,12252,12455,12480,13081,13354,13440,3906,11996,12985,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,4408,3739,11869,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,12700,13199,13263,3872,11160,11166,11184,12174,12304,12666,3723,12412,12529,12606,12661,12669,12789,13206,4198,3874,10897,11263,11424,11458,11469,12605,12655,13299,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,12507,4204,3905,12795,3850,3851,4631,10483,10486,10852,10855,11742,11930,12737,4632,11850,11935,3875,10816,11079,13341,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6922,6936,6992,7012,7013,7019,7041,7074,7076,7080,7124,7144,7145,7162,7163,7201,7246,7247,7344,7413,7414,7415,7416,7433,7466,7519,7520,7528,7533,7534,7545,7575,7576,7577,7578,7724,7726,7727,7728,7734,7735,7809,7941,7944,7950,7951,7962,8000,8001,8079,8119,8173,8195,8196,8273,8368,8439,8440,8444,8478,8514,8540,8541,8608,8626,8627,8628,8629,8779,9037,9038,9107,9121,9175,9176,9296,9331,9358,9394,9435,9639,9763,9906,10092,10148,10150,5965,6521,6522,6614,6634,6635,7065,7284,8621,8700,8947,9131,9132,9202,9203,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8532,8533,9003,9021,9970,10352,4694,4726,4727,4730,4772,4776,4781,4822,4919,4936,4966,4967,4998,5002,5061,5064,5124,5256,5295,5296,5298,5305,5306,5330,5369,5401,5423,5558,5631,5632,5633,5694,5751,5752])). % 169.47/169.19 cnf(13557,plain, % 169.47/169.19 (~P1(f317(f28(x135571),f232(f906(x135571,a894))))), % 169.47/169.19 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,12858,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,12833,13264,13270,13275,13279,13285,13288,13312,13417,13422,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,12798,13334,13338,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,11295,13358,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3081,3086,3090,3091,3093,3097,3099,3102,3103,3106,3110,3111,3112,3115,3117,3121,3122,3125,3129,3142,3146,3155,3161,3170,3171,3182,3185,3190,3191,3192,3193,3197,3198,3202,3203,3204,3205,3206,3216,3226,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,12933,13134,13303,13421,13426,13442,3366,12623,12627,12631,3372,3381,3884,4186,3349,13196,3498,12685,12773,3269,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,11972,13230,13323,13387,13391,13395,13399,4016,4618,11221,11319,11552,11555,3400,3825,3420,3535,3750,3527,3502,12898,12902,12904,3329,10531,10861,3330,4606,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,11438,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3610,3647,4586,11626,3768,3727,3770,3939,3694,13117,13121,13125,13129,13139,3986,12462,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,12998,13036,13039,13100,13337,13342,3877,11873,3418,3511,11702,11984,13441,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,12990,13040,13212,13217,13240,13245,4624,11745,11776,11813,11820,11853,13049,13053,3864,3635,3636,12969,12972,12975,12978,13008,13011,13369,13373,13377,4008,3600,13370,3601,13374,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,12715,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,12641,13390,4111,13394,4116,11244,12361,12435,12495,12537,13233,13361,4117,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,13203,13269,13274,13294,13315,4628,10993,11395,12499,13282,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,12991,13014,13072,13092,13103,13108,13111,13114,13147,13158,13223,13251,13254,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,12247,13005,13151,13171,13213,13218,13241,13246,3436,12406,12409,3507,12353,13069,13118,13122,13126,13130,13140,13144,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,12782,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,12785,13195,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,12792,13068,13084,13087,13184,13307,13326,13329,13366,13386,13420,3492,10858,10891,10900,10903,10906,11482,12692,12708,13050,13054,13057,13060,3531,13351,13412,3524,3943,3882,10510,11876,11904,13031,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,13257,3455,10894,11047,11117,11905,12054,12252,12455,12480,13081,13354,13440,3906,11996,12985,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,4408,3739,11869,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,12700,13199,13263,3872,11160,11166,11184,12174,12304,12666,3723,12412,12529,12606,12661,12669,12789,13206,4198,3874,10897,11263,11424,11458,11469,12605,12655,13299,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,12507,4204,3905,12795,3850,3851,4631,10483,10486,10852,10855,11742,11930,12737,4632,11850,11935,3875,10816,11079,13341,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6922,6936,6992,7012,7013,7019,7041,7074,7076,7080,7124,7144,7145,7162,7163,7201,7246,7247,7344,7413,7414,7415,7416,7433,7466,7519,7520,7528,7533,7534,7545,7575,7576,7577,7578,7724,7726,7727,7728,7734,7735,7809,7941,7944,7950,7951,7962,8000,8001,8079,8119,8173,8195,8196,8273,8368,8439,8440,8444,8478,8514,8540,8541,8608,8626,8627,8628,8629,8779,9037,9038,9107,9121,9175,9176,9296,9331,9358,9394,9435,9639,9763,9906,10092,10148,10150,5965,6521,6522,6614,6634,6635,7065,7284,8621,8700,8947,9131,9132,9202,9203,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8532,8533,9003,9021,9970,10352,4694,4726,4727,4730,4772,4776,4781,4822,4919,4936,4966,4967,4998,5002,5061,5064,5124,5256,5295,5296,5298,5305,5306,5330,5369,5401,5423,5558,5631,5632,5633,5694,5751,5752,5778,5782,5841,5843,5852,5858,5946,6032,6139,6182,6240,6482,6645,6683,6858,6860])). % 169.47/169.19 cnf(13559,plain, % 169.47/169.19 (~P1(f317(f28(f905(x135591,x135592)),f317(f276(x135592,x135591),f232(f906(f905(x135592,x135591),a894)))))), % 169.47/169.19 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,12858,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,12833,13264,13270,13275,13279,13285,13288,13312,13417,13422,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,12798,13334,13338,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,11295,13358,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3081,3086,3090,3091,3093,3097,3099,3102,3103,3106,3110,3111,3112,3115,3117,3121,3122,3125,3129,3142,3146,3155,3161,3170,3171,3182,3185,3190,3191,3192,3193,3197,3198,3202,3203,3204,3205,3206,3216,3226,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,12933,13134,13303,13421,13426,13442,3366,12623,12627,12631,3372,3381,3884,4186,3349,13196,3498,12685,12773,3269,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,11972,13230,13323,13387,13391,13395,13399,4016,4618,11221,11319,11552,11555,3400,3825,3420,3535,3750,3527,3502,12898,12902,12904,3329,10531,10861,3330,4606,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,11438,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3610,3647,4586,11626,3768,3727,3770,3939,3694,13117,13121,13125,13129,13139,3986,12462,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,12998,13036,13039,13100,13337,13342,3877,11873,3418,3511,11702,11984,13441,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,12990,13040,13212,13217,13240,13245,4624,11745,11776,11813,11820,11853,13049,13053,3864,3635,3636,12969,12972,12975,12978,13008,13011,13369,13373,13377,4008,3600,13370,3601,13374,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,12715,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,12641,13390,4111,13394,4116,11244,12361,12435,12495,12537,13233,13361,4117,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,13203,13269,13274,13294,13315,4628,10993,11395,12499,13282,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,12991,13014,13072,13092,13103,13108,13111,13114,13147,13158,13223,13251,13254,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,12247,13005,13151,13171,13213,13218,13241,13246,3436,12406,12409,3507,12353,13069,13118,13122,13126,13130,13140,13144,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,12782,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,12785,13195,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,12792,13068,13084,13087,13184,13307,13326,13329,13366,13386,13420,3492,10858,10891,10900,10903,10906,11482,12692,12708,13050,13054,13057,13060,3531,13351,13412,3524,3943,3882,10510,11876,11904,13031,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,13257,3455,10894,11047,11117,11905,12054,12252,12455,12480,13081,13354,13440,3906,11996,12985,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,4408,3739,11869,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,12700,13199,13263,3872,11160,11166,11184,12174,12304,12666,3723,12412,12529,12606,12661,12669,12789,13206,4198,3874,10897,11263,11424,11458,11469,12605,12655,13299,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,12507,4204,3905,12795,3850,3851,4631,10483,10486,10852,10855,11742,11930,12737,4632,11850,11935,3875,10816,11079,13341,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6922,6936,6992,7012,7013,7019,7041,7074,7076,7080,7124,7144,7145,7162,7163,7201,7246,7247,7344,7413,7414,7415,7416,7433,7466,7519,7520,7528,7533,7534,7545,7575,7576,7577,7578,7724,7726,7727,7728,7734,7735,7809,7941,7944,7950,7951,7962,8000,8001,8079,8119,8173,8195,8196,8273,8368,8439,8440,8444,8478,8514,8540,8541,8608,8626,8627,8628,8629,8779,9037,9038,9107,9121,9175,9176,9296,9331,9358,9394,9435,9639,9763,9906,10092,10148,10150,5965,6521,6522,6614,6634,6635,7065,7284,8621,8700,8947,9131,9132,9202,9203,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8532,8533,9003,9021,9970,10352,4694,4726,4727,4730,4772,4776,4781,4822,4919,4936,4966,4967,4998,5002,5061,5064,5124,5256,5295,5296,5298,5305,5306,5330,5369,5401,5423,5558,5631,5632,5633,5694,5751,5752,5778,5782,5841,5843,5852,5858,5946,6032,6139,6182,6240,6482,6645,6683,6858,6860,6949])). % 169.47/169.19 cnf(13561,plain, % 169.47/169.19 (~P1(f317(f317(f225(a897),f2(a897)),f178(a897)))), % 169.47/169.19 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,12858,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,12833,13264,13270,13275,13279,13285,13288,13312,13417,13422,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,12798,13334,13338,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,11295,13358,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3081,3086,3090,3091,3093,3097,3099,3102,3103,3106,3110,3111,3112,3115,3117,3121,3122,3125,3129,3142,3146,3155,3161,3170,3171,3182,3185,3190,3191,3192,3193,3197,3198,3202,3203,3204,3205,3206,3216,3226,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,12933,13134,13303,13421,13426,13442,3366,12623,12627,12631,3372,3381,3884,4186,3349,13196,3498,12685,12773,3269,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,11972,13230,13323,13387,13391,13395,13399,4016,4618,11221,11319,11552,11555,3400,3825,3420,3535,3750,3527,3502,12898,12902,12904,3329,10531,10861,3330,4606,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,11438,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3610,3647,4586,11626,3768,3727,3770,3939,3694,13117,13121,13125,13129,13139,3986,12462,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,12998,13036,13039,13100,13337,13342,3877,11873,3418,3511,11702,11984,13441,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,12990,13040,13212,13217,13240,13245,4624,11745,11776,11813,11820,11853,13049,13053,3864,3635,3636,12969,12972,12975,12978,13008,13011,13369,13373,13377,4008,3600,13370,3601,13374,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,12715,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,12641,13390,4111,13394,4116,11244,12361,12435,12495,12537,13233,13361,4117,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,13203,13269,13274,13294,13315,4628,10993,11395,12499,13282,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,12991,13014,13072,13092,13103,13108,13111,13114,13147,13158,13223,13251,13254,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,12247,13005,13151,13171,13213,13218,13241,13246,3436,12406,12409,3507,12353,13069,13118,13122,13126,13130,13140,13144,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,12782,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,12785,13195,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,12792,13068,13084,13087,13184,13307,13326,13329,13366,13386,13420,3492,10858,10891,10900,10903,10906,11482,12692,12708,13050,13054,13057,13060,3531,13351,13412,3524,3943,3882,10510,11876,11904,13031,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,13257,3455,10894,11047,11117,11905,12054,12252,12455,12480,13081,13354,13440,3906,11996,12985,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,4408,3739,11869,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,12700,13199,13263,3872,11160,11166,11184,12174,12304,12666,3723,12412,12529,12606,12661,12669,12789,13206,4198,3874,10897,11263,11424,11458,11469,12605,12655,13299,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,12507,4204,3905,12795,3850,3851,4631,10483,10486,10852,10855,11742,11930,12737,4632,11850,11935,3875,10816,11079,13341,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6922,6936,6992,7012,7013,7019,7041,7074,7076,7080,7124,7144,7145,7162,7163,7201,7246,7247,7344,7413,7414,7415,7416,7433,7466,7519,7520,7528,7533,7534,7545,7575,7576,7577,7578,7724,7726,7727,7728,7734,7735,7809,7941,7944,7950,7951,7962,8000,8001,8079,8119,8173,8195,8196,8273,8368,8439,8440,8444,8478,8514,8540,8541,8608,8626,8627,8628,8629,8779,9037,9038,9107,9121,9175,9176,9296,9331,9358,9394,9435,9639,9763,9906,10092,10148,10150,5965,6521,6522,6614,6634,6635,7065,7284,8621,8700,8947,9131,9132,9202,9203,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8532,8533,9003,9021,9970,10352,4694,4726,4727,4730,4772,4776,4781,4822,4919,4936,4966,4967,4998,5002,5061,5064,5124,5256,5295,5296,5298,5305,5306,5330,5369,5401,5423,5558,5631,5632,5633,5694,5751,5752,5778,5782,5841,5843,5852,5858,5946,6032,6139,6182,6240,6482,6645,6683,6858,6860,6949,7119])). % 169.47/169.19 cnf(13579,plain, % 169.47/169.19 (~P27(x135791,x135792,f317(f67(x135793,x135792,x135791,f182(x135794,x135795)),f317(f141(x135796),x135797)),f232(f906(x135791,a894)))), % 169.47/169.19 inference(scs_inference,[],[4613,4084,12688,12712,12854,12856,12858,3667,11314,12364,12465,12468,12558,12598,12602,12610,12682,12831,12833,13264,13270,13275,13279,13285,13288,13312,13417,13422,3676,12432,12840,12842,3683,3404,12869,12871,12873,3405,12813,3371,12770,4594,4595,11949,4357,12922,3408,12804,3247,3304,12879,3305,12906,3306,3307,3308,12638,12821,3725,4575,10401,10411,10424,10435,10539,10542,10545,10647,10782,11092,11285,11288,11306,11309,11499,11600,11607,11621,11667,11670,11703,11718,11781,11840,11856,12153,12178,12192,12221,12227,12321,12428,12591,12652,12798,13334,13338,3487,3453,12883,3634,12125,3355,4581,10631,10731,11195,11295,13358,3043,3044,3046,3047,3050,3051,3053,3054,3055,3066,3067,3071,3080,3081,3086,3090,3091,3093,3097,3099,3102,3103,3106,3110,3111,3112,3115,3117,3121,3122,3125,3129,3142,3146,3155,3161,3170,3171,3182,3185,3190,3191,3192,3193,3197,3198,3202,3203,3204,3205,3206,3216,3226,4572,3231,3303,4573,3764,3990,11887,3280,11597,3416,3392,3395,10470,10473,10566,10569,10888,11612,11615,11729,11768,11773,11882,12336,12534,12746,12800,12808,12819,12829,12846,12850,12852,12863,12867,12933,13134,13303,13421,13426,13442,3366,12623,12627,12631,3372,3381,3884,4186,3349,13196,3498,12685,12773,3269,3270,3628,3975,11643,3334,3266,3294,3744,3289,3486,4093,3984,3806,3277,3278,3257,3896,3314,3488,11042,11169,12429,12642,3365,4058,4588,10461,10628,11496,12583,12624,12628,4591,12595,3425,11969,11972,13230,13323,13387,13391,13395,13399,4016,4618,11221,11319,11552,11555,3400,3825,3420,3535,3750,3527,3502,12898,12902,12904,3329,10531,10861,3330,4606,3587,3322,3248,3660,3351,11633,4200,12613,12758,4060,11241,11371,11427,12569,12575,12701,12704,12734,4636,11144,11384,11490,11516,11560,11566,12515,4637,11274,11387,11493,4638,11390,11438,4639,11445,4640,3350,3626,12471,12512,12594,3790,4471,4472,3610,3647,4586,11626,3768,3727,3770,3939,3694,13117,13121,13125,13129,13139,3986,12462,3612,3867,3499,10550,10670,10748,10821,10824,10864,10967,11211,11817,12023,12069,12149,12214,12292,12327,12400,12403,12738,12998,13036,13039,13100,13337,13342,3877,11873,3418,3511,11702,11984,13441,3689,4612,10438,10441,10467,10591,10766,10975,10990,11102,11538,11636,11816,12040,12045,12268,12271,12348,12518,12617,12944,12963,12966,12990,13040,13212,13217,13240,13245,4624,11745,11776,11813,11820,11853,13049,13053,3864,3635,3636,12969,12972,12975,12978,13008,13011,13369,13373,13377,4008,3600,13370,3601,13374,3461,3463,3437,4609,3328,3293,4583,3816,4122,3619,4625,4193,11513,3749,3473,11990,11993,12436,12538,12715,4616,10429,10432,10599,10694,10713,10720,10743,10751,10754,10771,10960,11198,11408,11696,11790,11938,12058,12061,4162,4121,12142,12486,4069,10879,12496,12641,13390,4111,13394,4116,11244,12361,12435,12495,12537,13233,13361,4117,3791,11824,12152,12299,12369,12419,4150,3808,10594,10691,11247,11324,11403,11464,12320,12647,12711,12731,12741,13203,13269,13274,13294,13315,4628,10993,11395,12499,13282,3434,10559,10657,10807,10871,10949,10996,10999,11030,11050,11086,11124,11163,11941,11987,12122,12177,12195,12198,12201,12204,12376,12388,12391,12394,12397,12479,12541,12658,12707,12991,13014,13072,13092,13103,13108,13111,13114,13147,13158,13223,13251,13254,3435,10586,10642,10876,10970,11089,11721,12020,12026,12037,12128,12139,12158,12163,12207,12230,12247,13005,13151,13171,13213,13218,13241,13246,3436,12406,12409,3507,12353,13069,13118,13122,13126,13130,13140,13144,4608,10478,10507,11014,11053,11062,11901,11922,12096,12099,12102,12105,12191,12210,12213,12226,12280,12283,12286,12289,12447,12450,12544,12547,12651,12691,12782,3582,10736,10827,11097,11141,11374,11377,11453,11535,11706,11952,12590,12785,13195,4620,11023,11133,11154,11157,11224,11227,11238,11340,11348,11362,11398,11413,11421,11461,11502,11507,11510,11529,11532,11569,11574,11577,11580,11583,11823,11966,11999,12274,12277,12311,12354,12379,12523,12566,12572,12670,12673,12697,12757,12765,12776,12792,13068,13084,13087,13184,13307,13326,13329,13366,13386,13420,3492,10858,10891,10900,10903,10906,11482,12692,12708,13050,13054,13057,13060,3531,13351,13412,3524,3943,3882,10510,11876,11904,13031,4617,10458,10846,10849,11343,11359,11839,11892,11926,11953,12055,12084,12087,12090,12093,12347,13257,3455,10894,11047,11117,11905,12054,12252,12455,12480,13081,13354,13440,3906,11996,12985,4241,3977,3641,4614,3917,3951,4600,4603,4604,3411,3415,4602,4601,4364,4408,3739,11869,4335,11728,4630,10757,10760,4635,11230,11233,11416,11526,11543,11589,4026,11586,11925,11929,12601,12609,12700,13199,13263,3872,11160,11166,11184,12174,12304,12666,3723,12412,12529,12606,12661,12669,12789,13206,4198,3874,10897,11263,11424,11458,11469,12605,12655,13299,3583,3692,10810,10813,10909,11073,3691,4633,11870,4629,12953,4634,10650,10763,12474,12483,12526,12725,4296,11033,12492,12507,4204,3905,12795,3850,3851,4631,10483,10486,10852,10855,11742,11930,12737,4632,11850,11935,3875,10816,11079,13341,3876,4136,4647,4673,4728,4732,4756,4771,4778,4780,4816,4821,4850,4856,4942,4968,4969,4984,5038,5039,5062,5063,5077,5081,5106,5112,5128,5132,5133,5134,5139,5140,5163,5188,5190,5191,5201,5206,5212,5248,5249,5257,5265,5269,5271,5285,5288,5294,5299,5300,5313,5319,5322,5323,5327,5355,5370,5379,5381,5382,5386,5387,5388,5398,5400,5406,5407,5408,5414,5418,5419,5420,5428,5432,5433,5439,5452,5460,5473,5475,5483,5485,5486,5489,5493,5520,5534,5535,5550,5561,5583,5589,5613,5614,5617,5636,5644,5645,5650,5651,5661,5663,5676,5680,5689,5690,5692,5693,5709,5714,5723,5724,5735,5742,5756,5760,5763,5769,5770,5771,5774,5779,5815,5816,5819,5821,5823,5825,5826,5827,5829,5831,5833,5838,5845,5860,5874,5880,5881,5893,5904,5905,5912,5916,5918,5923,5931,5969,5984,5993,5996,6006,6010,6011,6012,6013,6014,6019,6024,6034,6040,6058,6062,6071,6100,6116,6142,6159,6160,6163,6177,6179,6181,6183,6198,6199,6202,6204,6207,6208,6225,6233,6234,6235,6237,6239,6276,6277,6284,6287,6293,6297,6332,6334,6336,6338,6348,6350,6353,6359,6361,6366,6369,6377,6383,6386,6388,6389,6396,6419,6420,6421,6422,6423,6425,6431,6436,6470,6471,6474,6475,6476,6478,6479,6480,6481,6488,6523,6524,6533,6554,6555,6580,6582,6594,6595,6601,6631,6633,6648,6689,6691,6692,6748,6771,6814,6829,6837,6846,6847,6848,6849,6869,6870,6877,6889,6892,6894,6896,6897,6898,6900,6914,6925,6926,6927,6940,6995,7008,7010,7033,7034,7070,7077,7113,7143,7199,7228,7285,7306,7313,7316,7376,7386,7449,7451,7465,7474,7475,7476,7493,7497,7499,7546,7556,7559,7573,7620,7624,7627,7671,7672,7690,7760,7778,7802,7826,7838,7852,7863,7874,7875,7902,7904,7906,7916,7954,7965,7990,8017,8050,8081,8114,8153,8169,8171,8187,8188,8255,8266,8331,8356,8375,8402,8441,8442,8459,8499,8501,8503,8509,8525,8529,8544,8565,8573,8575,8585,8590,8594,8595,8596,8597,8598,8599,8618,8633,8634,8652,8653,8658,8659,8660,8661,8662,8680,8681,8682,8692,8705,8708,8719,8724,8726,8728,8729,8730,8737,8743,8751,8754,8771,8772,8781,8782,8790,8809,8822,8826,8847,8869,8870,8873,8874,8880,8889,8890,8913,8924,8934,8935,8936,8939,8962,8963,8974,9023,9033,9035,9051,9063,9064,9065,9076,9141,9172,9173,9174,9189,9206,9214,9242,9243,9312,9353,9363,9364,9365,9375,9406,9422,9426,9430,9452,9453,9480,9544,9549,9552,9589,9590,9591,9619,9620,9636,9658,9664,9676,9701,9722,9731,9732,9733,9734,9749,9751,9756,9786,9787,9793,9794,9838,9839,9850,9851,9876,9894,9896,9897,9905,9910,9917,9941,9975,9977,9981,10031,10065,10075,10077,10081,10082,10084,10093,10094,10114,10119,10213,10305,10306,10307,10308,10367,10385,2,8,9,4660,4661,4679,4721,4722,4724,4747,4749,4750,4760,4805,4807,4855,4985,4986,5003,5027,5084,5085,5091,5092,5094,5096,5105,5108,5109,5117,5130,5131,5137,5158,5159,5177,5182,5183,5184,5185,5189,5197,5200,5207,5262,5267,5268,5273,5279,5310,5320,5325,5335,5352,5354,5361,5362,5364,5375,5394,5396,5397,5404,5411,5412,5424,5425,5426,5427,5429,5430,5435,5436,5437,5438,5469,5470,5471,5479,5480,5481,5482,5526,5531,5533,5568,5570,5571,5573,5574,5576,5577,5579,5588,5593,5595,5596,5597,5599,5601,5602,5603,5604,5605,5606,5615,5625,5628,5639,5655,5656,5659,5669,5672,5673,5674,5701,5711,5726,5727,5736,5737,5739,5741,5746,5781,5786,5788,5847,5882,5883,5897,5903,5906,5907,5908,5909,5928,5932,5933,5942,5964,5998,6017,6018,6022,6023,6025,6048,6052,6055,6056,6057,6073,6084,6085,6118,6119,6123,6144,6147,6150,6171,6172,6200,6203,6212,6221,6223,6232,6236,6244,6245,6246,6247,6279,6280,6298,6352,6390,6392,6393,6416,6417,6424,6428,6429,6432,6446,6462,6483,6484,6489,6500,6503,6516,6536,6542,6544,6559,6560,6564,6566,6567,6568,6570,6572,6573,6574,6581,6587,6588,6590,6591,6597,6599,6641,6647,6662,6666,6667,6668,6702,6707,6709,6714,6715,6725,6729,6743,6766,6767,6769,6770,6781,6786,6806,6809,6830,6850,6863,6864,6865,6871,6885,6904,6906,6908,6910,6915,6921,6923,6937,6942,6943,6980,6981,6982,6999,7000,7002,7003,7023,7025,7040,7068,7091,7102,7104,7106,7108,7109,7140,7141,7142,7146,7147,7155,7157,7158,7159,7181,7190,7191,7202,7212,7252,7262,7268,7275,7286,7291,7293,7300,7320,7337,7358,7360,7379,7434,7435,7436,7438,7440,7444,7445,7450,7514,7542,7557,7572,7603,7607,7630,7655,7673,7676,7677,7687,7707,7709,7711,7713,7714,7715,7716,7717,7742,7768,7769,7801,7803,7804,7805,7811,7832,7849,7854,7860,7862,7870,7883,7884,7886,7907,7914,7935,8003,8004,8005,8053,8059,8060,8083,8084,8101,8102,8103,8160,8161,8190,8220,8229,8243,8258,8287,8291,8297,8309,8327,8332,8355,8400,8429,8443,8463,8466,8492,8518,8576,8577,8580,8581,8650,8684,8685,8686,8687,8714,8746,8775,8783,8784,8825,8846,8891,8907,8953,8956,8971,8978,9020,9059,9060,9078,9079,9093,9211,9216,9220,9240,9251,9274,9276,9279,9285,9287,9288,9299,9300,9319,9327,9338,9346,9391,9393,9410,9465,9466,9472,9511,9536,9541,9581,9595,9599,9600,9604,9605,9618,9641,9654,9657,9666,9667,9669,9671,9700,9810,9820,9821,9870,9871,9911,9946,10056,10123,10279,10297,10302,3,2770,2773,2777,2779,2783,2789,2790,2791,2792,2793,2794,2795,2801,2802,2803,2804,2805,2808,2813,2814,2815,2816,2819,2821,2822,2828,2830,2832,2839,2841,2842,2843,2844,2845,2846,2848,2855,2857,2858,2859,2860,2861,2862,2864,2865,2866,2867,2870,2871,2872,2877,2878,2880,2881,2885,2889,2890,2891,2892,2893,2895,2896,2899,2900,2901,2902,2947,2948,2960,2962,2966,2967,2968,2971,2972,2973,3008,3009,3023,3030,5351,5393,5542,5543,5544,5626,5725,5755,5789,5805,5807,5813,5875,5876,5877,5878,5895,5930,6068,6107,6117,6141,6175,6213,6368,6373,6414,6415,6437,6439,6441,6448,6449,6450,6451,6452,6453,6454,6455,6537,6611,6612,6701,6738,6739,6778,6779,6922,6936,6992,7012,7013,7019,7041,7074,7076,7080,7124,7144,7145,7162,7163,7201,7246,7247,7344,7413,7414,7415,7416,7433,7466,7519,7520,7528,7533,7534,7545,7575,7576,7577,7578,7724,7726,7727,7728,7734,7735,7809,7941,7944,7950,7951,7962,8000,8001,8079,8119,8173,8195,8196,8273,8368,8439,8440,8444,8478,8514,8540,8541,8608,8626,8627,8628,8629,8779,9037,9038,9107,9121,9175,9176,9296,9331,9358,9394,9435,9639,9763,9906,10092,10148,10150,5965,6521,6522,6614,6634,6635,7065,7284,8621,8700,8947,9131,9132,9202,9203,9388,9483,9484,9485,9486,9703,9969,9983,10353,10354,6596,8532,8533,9003,9021,9970,10352,4694,4726,4727,4730,4772,4776,4781,4822,4919,4936,4966,4967,4998,5002,5061,5064,5124,5256,5295,5296,5298,5305,5306,5330,5369,5401,5423,5558,5631,5632,5633,5694,5751,5752,5778,5782,5841,5843,5852,5858,5946,6032,6139,6182,6240,6482,6645,6683,6858,6860,6949,7119,7289,7582,7921,7923,8170,8176,8834,8872,9001])). % 169.47/169.19 cnf(13700,plain, % 169.47/169.19 (~P1(f317(f317(f319(a897),x137001),f317(f272(a897),f2(a897))))), % 169.47/169.19 inference(rename_variables,[],[12017])). % 169.47/169.19 cnf(13703,plain, % 169.47/169.19 (~P1(f317(f317(f319(x137031),x137032),f178(f906(x137031,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(13733,plain, % 169.47/169.19 (~P1(f317(f317(f319(x137331),x137332),f178(f906(x137331,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(13736,plain, % 169.47/169.19 (P1(f317(f317(f224(a1),x137361),x137361))), % 169.47/169.19 inference(rename_variables,[],[3435])). % 169.47/169.19 cnf(13752,plain, % 169.47/169.19 (~P1(f317(f317(f319(x137521),x137522),f317(f301(x137521,x137523,x137524),f178(f906(x137523,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11156])). % 169.47/169.19 cnf(13759,plain, % 169.47/169.19 (~P1(f317(f317(f319(x137591),x137592),f178(f906(x137591,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(13762,plain, % 169.47/169.19 (E(f317(x137621,f317(f85(x137622,x137623,f232(f906(x137622,a894)),x137621),f317(x137621,x137624))),f317(x137621,x137624))), % 169.47/169.19 inference(rename_variables,[],[11297])). % 169.47/169.19 cnf(13765,plain, % 169.47/169.19 (~P1(f317(f317(f224(a897),f317(f317(f75(a897),f317(a102,x137651)),f317(a102,x137651))),x137651))), % 169.47/169.19 inference(rename_variables,[],[10908])). % 169.47/169.19 cnf(13775,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),x137751),f317(f317(f75(a897),x137751),x137751)))), % 169.47/169.19 inference(rename_variables,[],[3692])). % 169.47/169.19 cnf(13797,plain, % 169.47/169.19 (~E(f317(f317(f141(x137971),x137972),x137973),f103(x137971))), % 169.47/169.19 inference(rename_variables,[],[4591])). % 169.47/169.19 cnf(13800,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),x138001),f317(f317(f74(a897),x138001),x138002)))), % 169.47/169.19 inference(rename_variables,[],[3691])). % 169.47/169.19 cnf(13803,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(x138031,x138031)),x138032),f253(x138031,f178(f906(x138031,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11153])). % 169.47/169.19 cnf(13823,plain, % 169.47/169.19 (~P1(f317(f317(f319(a897),x138231),f317(f272(a897),f2(a897))))), % 169.47/169.19 inference(rename_variables,[],[12017])). % 169.47/169.19 cnf(13826,plain, % 169.47/169.19 (~P1(f317(f317(f319(x138261),x138262),f317(f301(x138261,x138263,x138264),f178(f906(x138263,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11156])). % 169.47/169.19 cnf(13831,plain, % 169.47/169.19 (P1(f317(f317(f225(a1),f317(f317(f23(a1),x138311),f72(a1))),x138311))), % 169.47/169.19 inference(rename_variables,[],[10969])). % 169.47/169.19 cnf(13834,plain, % 169.47/169.19 (~P1(f317(f317(f319(x138341),x138342),f178(f906(x138341,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(13839,plain, % 169.47/169.19 (~P1(f317(f317(f319(x138391),x138392),f317(f301(x138391,x138393,x138394),f178(f906(x138393,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11156])). % 169.47/169.19 cnf(13849,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(x138491,x138491)),x138492),f253(x138491,f178(f906(x138491,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11153])). % 169.47/169.19 cnf(13858,plain, % 169.47/169.19 (~P1(f317(f317(f319(a897),x138581),f317(f272(a897),f2(a897))))), % 169.47/169.19 inference(rename_variables,[],[12017])). % 169.47/169.19 cnf(13861,plain, % 169.47/169.19 (~P1(f317(f317(f225(a897),x138611),x138611))), % 169.47/169.19 inference(rename_variables,[],[4608])). % 169.47/169.19 cnf(13866,plain, % 169.47/169.19 (P1(f317(f317(f319(x138661),f317(x138662,x138663)),f317(f300(x138664,x138661,x138662),f232(f906(x138664,a894)))))), % 169.47/169.19 inference(rename_variables,[],[4026])). % 169.47/169.19 cnf(13871,plain, % 169.47/169.19 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x138711),x138712)),x138711))), % 169.47/169.19 inference(rename_variables,[],[4632])). % 169.47/169.19 cnf(13876,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),x138761),f317(f317(f75(a897),x138761),x138761)))), % 169.47/169.19 inference(rename_variables,[],[3692])). % 169.47/169.19 cnf(13879,plain, % 169.47/169.19 (E(f317(f300(x138791,x138791,f25(x138791)),x138792),x138792)), % 169.47/169.19 inference(rename_variables,[],[3489])). % 169.47/169.19 cnf(13882,plain, % 169.47/169.19 (~E(x138821,f317(a102,x138821))), % 169.47/169.19 inference(rename_variables,[],[10493])). % 169.47/169.19 cnf(13885,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x138851,a894)),x138852),f317(f317(f299(x138851),x138853),x138852)))), % 169.47/169.19 inference(rename_variables,[],[3872])). % 169.47/169.19 cnf(13890,plain, % 169.47/169.19 (~P1(f317(f56(x138901,x138902,f178(f906(x138901,a894))),x138903))), % 169.47/169.19 inference(rename_variables,[],[4630])). % 169.47/169.19 cnf(13895,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x138951,a894)),x138952),x138952))), % 169.47/169.19 inference(rename_variables,[],[3723])). % 169.47/169.19 cnf(13910,plain, % 169.47/169.19 (~E(f317(f317(f141(x139101),x139102),x139103),x139103)), % 169.47/169.19 inference(rename_variables,[],[4588])). % 169.47/169.19 cnf(13913,plain, % 169.47/169.19 (E(f317(f274(x139131,x139131),f253(x139131,x139132)),x139132)), % 169.47/169.19 inference(rename_variables,[],[3395])). % 169.47/169.19 cnf(13916,plain, % 169.47/169.19 (E(f317(f317(f124(x139161),x139162),f103(x139161)),x139162)), % 169.47/169.19 inference(rename_variables,[],[3366])). % 169.47/169.19 cnf(13922,plain, % 169.47/169.19 (P1(f317(f317(f319(x139221),f317(x139222,x139223)),f317(f300(x139224,x139221,x139222),f232(f906(x139224,a894)))))), % 169.47/169.19 inference(rename_variables,[],[4026])). % 169.47/169.19 cnf(13925,plain, % 169.47/169.19 (~P1(f317(f56(x139251,x139252,f178(f906(x139251,a894))),x139253))), % 169.47/169.19 inference(rename_variables,[],[4630])). % 169.47/169.19 cnf(13955,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x139551,a894)),f317(f162(x139551),f166(x139551,x139552,x139553))),f317(f162(x139551),x139552)))), % 169.47/169.19 inference(rename_variables,[],[4116])). % 169.47/169.19 cnf(13962,plain, % 169.47/169.19 (~P1(f317(f317(f319(x139621),x139622),f317(f300(x139623,x139621,x139624),f178(f906(x139623,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11397])). % 169.47/169.19 cnf(13965,plain, % 169.47/169.19 (~P1(f317(f317(f319(x139651),x139652),f178(f906(x139651,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(13968,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),x139681),f317(f317(f75(a897),x139681),x139681)))), % 169.47/169.19 inference(rename_variables,[],[3692])). % 169.47/169.19 cnf(13971,plain, % 169.47/169.19 (E(f317(x139711,f317(f85(x139712,x139713,f232(f906(x139712,a894)),x139711),f317(x139711,x139714))),f317(x139711,x139714))), % 169.47/169.19 inference(rename_variables,[],[11297])). % 169.47/169.19 cnf(13985,plain, % 169.47/169.19 (E(f317(x139851,f317(f85(x139852,x139853,f232(f906(x139852,a894)),x139851),f317(x139851,x139854))),f317(x139851,x139854))), % 169.47/169.19 inference(rename_variables,[],[11297])). % 169.47/169.19 cnf(13990,plain, % 169.47/169.19 (P1(f317(f317(f225(a897),x139901),f317(a102,f317(f317(f74(a897),x139902),x139901))))), % 169.47/169.19 inference(rename_variables,[],[3875])). % 169.47/169.19 cnf(13997,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),f2(a897)),x139971))), % 169.47/169.19 inference(rename_variables,[],[3455])). % 169.47/169.19 cnf(14007,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(f898(x140071),f898(x140071))),f317(f317(f242(f898(x140071),f898(x140071)),x140072),f103(x140071))),f135(x140071,x140073)))), % 169.47/169.19 inference(rename_variables,[],[4636])). % 169.47/169.19 cnf(14012,plain, % 169.47/169.19 (~P1(f317(f317(f224(a897),f317(a102,x140121)),x140121))), % 169.47/169.19 inference(rename_variables,[],[4617])). % 169.47/169.19 cnf(14018,plain, % 169.47/169.19 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x140181),x140182)),x140181))), % 169.47/169.19 inference(rename_variables,[],[4632])). % 169.47/169.19 cnf(14027,plain, % 169.47/169.19 (E(f317(f317(f124(x140271),x140272),f103(x140271)),x140272)), % 169.47/169.19 inference(rename_variables,[],[3366])). % 169.47/169.19 cnf(14032,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(x140321,x140321)),x140322),f253(x140321,f178(f906(x140321,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11153])). % 169.47/169.19 cnf(14037,plain, % 169.47/169.19 (~E(f317(f317(f141(x140371),x140372),x140373),f103(x140371))), % 169.47/169.19 inference(rename_variables,[],[4591])). % 169.47/169.19 cnf(14047,plain, % 169.47/169.19 (~P1(f317(f317(f178(f906(x140471,f906(x140472,a894))),x140473),x140474))), % 169.47/169.19 inference(rename_variables,[],[4634])). % 169.47/169.19 cnf(14054,plain, % 169.47/169.19 (~E(f317(f317(f141(x140541),x140542),x140543),x140543)), % 169.47/169.19 inference(rename_variables,[],[4588])). % 169.47/169.19 cnf(14063,plain, % 169.47/169.19 (E(f317(f317(f124(x140631),x140632),f103(x140631)),x140632)), % 169.47/169.19 inference(rename_variables,[],[3366])). % 169.47/169.19 cnf(14085,plain, % 169.47/169.19 (~E(f317(f317(f141(x140851),x140852),x140853),x140853)), % 169.47/169.19 inference(rename_variables,[],[4588])). % 169.47/169.19 cnf(14088,plain, % 169.47/169.19 (E(f317(x140881,f317(f85(x140882,x140883,f232(f906(x140882,a894)),x140881),f317(x140881,x140884))),f317(x140881,x140884))), % 169.47/169.19 inference(rename_variables,[],[11297])). % 169.47/169.19 cnf(14091,plain, % 169.47/169.19 (E(f317(x140911,f317(f85(x140912,x140913,f232(f906(x140912,a894)),x140911),f317(x140911,x140914))),f317(x140911,x140914))), % 169.47/169.19 inference(rename_variables,[],[11297])). % 169.47/169.19 cnf(14094,plain, % 169.47/169.19 (E(f317(f317(f124(x140941),x140942),f103(x140941)),x140942)), % 169.47/169.19 inference(rename_variables,[],[3366])). % 169.47/169.19 cnf(14103,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(x141031,x141031)),x141032),f253(x141031,f178(f906(x141031,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11153])). % 169.47/169.19 cnf(14112,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x141121,a894)),x141122),x141122))), % 169.47/169.19 inference(rename_variables,[],[3723])). % 169.47/169.19 cnf(14115,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(f898(x141151),f898(x141151))),f317(f317(f242(f898(x141151),f898(x141151)),x141152),f103(x141151))),f137(x141151,x141153)))), % 169.47/169.19 inference(rename_variables,[],[4637])). % 169.47/169.19 cnf(14121,plain, % 169.47/169.19 (~P1(f317(f317(f225(a897),x141211),x141211))), % 169.47/169.19 inference(rename_variables,[],[4608])). % 169.47/169.19 cnf(14124,plain, % 169.47/169.19 (~P1(f317(f317(f319(a897),x141241),f317(f272(a897),f2(a897))))), % 169.47/169.19 inference(rename_variables,[],[12017])). % 169.47/169.19 cnf(14132,plain, % 169.47/169.19 (P1(f317(f317(f277(a897),x141321),x141321))), % 169.47/169.19 inference(rename_variables,[],[3436])). % 169.47/169.19 cnf(14139,plain, % 169.47/169.19 (~P1(f317(f317(f319(a897),x141391),f317(f272(a897),f2(a897))))), % 169.47/169.19 inference(rename_variables,[],[12017])). % 169.47/169.19 cnf(14142,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x141421,a894)),f317(f162(x141421),f166(x141421,x141422,x141423))),f317(f162(x141421),x141422)))), % 169.47/169.19 inference(rename_variables,[],[4116])). % 169.47/169.19 cnf(14166,plain, % 169.47/169.19 (~E(f317(f317(f228(a897),f317(a102,x141661)),x141661),f317(a102,x141661))), % 169.47/169.19 inference(rename_variables,[],[11759])). % 169.47/169.19 cnf(14169,plain, % 169.47/169.19 (~P1(f317(f56(x141691,x141692,f178(f906(x141691,a894))),x141693))), % 169.47/169.19 inference(rename_variables,[],[4630])). % 169.47/169.19 cnf(14184,plain, % 169.47/169.19 (~P1(f317(f317(f319(x141841),x141842),f178(f906(x141841,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(14192,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(x141921,x141921)),x141922),f253(x141921,f178(f906(x141921,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11153])). % 169.47/169.19 cnf(14202,plain, % 169.47/169.19 (~E(f317(f317(f141(x142021),x142022),x142023),x142023)), % 169.47/169.19 inference(rename_variables,[],[4588])). % 169.47/169.19 cnf(14218,plain, % 169.47/169.19 (E(f317(f274(x142181,x142181),f253(x142181,x142182)),x142182)), % 169.47/169.19 inference(rename_variables,[],[3395])). % 169.47/169.19 cnf(14221,plain, % 169.47/169.19 (E(f317(x142211,f317(f85(x142212,x142213,f232(f906(x142212,a894)),x142211),f317(x142211,x142214))),f317(x142211,x142214))), % 169.47/169.19 inference(rename_variables,[],[11297])). % 169.47/169.19 cnf(14228,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),f2(a897)),x142281))), % 169.47/169.19 inference(rename_variables,[],[3455])). % 169.47/169.19 cnf(14231,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),x142311),f317(f317(f75(a897),x142311),x142311)))), % 169.47/169.19 inference(rename_variables,[],[3692])). % 169.47/169.19 cnf(14239,plain, % 169.47/169.19 (E(f317(f274(x142391,x142391),f253(x142391,x142392)),x142392)), % 169.47/169.19 inference(rename_variables,[],[3395])). % 169.47/169.19 cnf(14246,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x142461,a894)),f317(f162(x142461),f166(x142461,x142462,x142463))),f317(f162(x142461),x142462)))), % 169.47/169.19 inference(rename_variables,[],[4116])). % 169.47/169.19 cnf(14261,plain, % 169.47/169.19 (E(f317(f317(f124(x142611),f103(x142611)),x142612),x142612)), % 169.47/169.19 inference(rename_variables,[],[3390])). % 169.47/169.19 cnf(14271,plain, % 169.47/169.19 (P1(f317(f317(f277(a897),x142711),x142711))), % 169.47/169.19 inference(rename_variables,[],[3436])). % 169.47/169.19 cnf(14274,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),f2(a897)),x142741))), % 169.47/169.19 inference(rename_variables,[],[3455])). % 169.47/169.19 cnf(14277,plain, % 169.47/169.19 (~P1(f317(f317(f178(f906(x142771,f906(x142772,a894))),x142773),x142774))), % 169.47/169.19 inference(rename_variables,[],[4634])). % 169.47/169.19 cnf(14280,plain, % 169.47/169.19 (P1(f317(f317(f277(a897),f317(a102,f2(a897))),x142801))), % 169.47/169.19 inference(rename_variables,[],[3583])). % 169.47/169.19 cnf(14294,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x142941,a894)),f317(f162(x142941),f166(x142941,x142942,x142943))),f317(f162(x142941),x142942)))), % 169.47/169.19 inference(rename_variables,[],[4116])). % 169.47/169.19 cnf(14307,plain, % 169.47/169.19 (~P1(f317(f317(f319(x143071),x143072),f178(f906(x143071,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(14315,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),x143151),f317(f317(f74(a897),x143151),x143152)))), % 169.47/169.19 inference(rename_variables,[],[3691])). % 169.47/169.19 cnf(14318,plain, % 169.47/169.19 (~P1(f317(f317(f319(x143181),x143182),f178(f906(x143181,a894))))), % 169.47/169.19 inference(rename_variables,[],[4620])). % 169.47/169.19 cnf(14321,plain, % 169.47/169.19 (E(f317(x143211,f317(f85(x143212,x143213,f232(f906(x143212,a894)),x143211),f317(x143211,x143214))),f317(x143211,x143214))), % 169.47/169.19 inference(rename_variables,[],[11297])). % 169.47/169.19 cnf(14331,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x143311,a894)),x143312),x143312))), % 169.47/169.19 inference(rename_variables,[],[3723])). % 169.47/169.19 cnf(14341,plain, % 169.47/169.19 (E(f317(x143411,f317(f85(x143412,x143413,f232(f906(x143412,a894)),x143411),f317(x143411,x143414))),f317(x143411,x143414))), % 169.47/169.19 inference(rename_variables,[],[11297])). % 169.47/169.19 cnf(14344,plain, % 169.47/169.19 (~P1(f317(f317(f319(a897),x143441),f317(f272(a897),f2(a897))))), % 169.47/169.19 inference(rename_variables,[],[12017])). % 169.47/169.19 cnf(14370,plain, % 169.47/169.19 (P1(f317(f317(f225(a1),f317(f317(f23(a1),x143701),f72(a1))),x143701))), % 169.47/169.19 inference(rename_variables,[],[10969])). % 169.47/169.19 cnf(14378,plain, % 169.47/169.19 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x143781),x143782)),x143782))), % 169.47/169.19 inference(rename_variables,[],[4631])). % 169.47/169.19 cnf(14390,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),x143901),f317(f317(f75(a897),x143901),x143901)))), % 169.47/169.19 inference(rename_variables,[],[3692])). % 169.47/169.19 cnf(14395,plain, % 169.47/169.19 (P1(f317(f317(f224(f906(x143951,a894)),x143952),x143952))), % 169.47/169.19 inference(rename_variables,[],[3723])). % 169.47/169.19 cnf(14398,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(x143981,x143981)),x143982),f253(x143981,f178(f906(x143981,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11153])). % 169.47/169.19 cnf(14408,plain, % 169.47/169.19 (P1(f317(f317(f319(x144081),f317(x144082,x144083)),f317(f300(x144084,x144081,x144082),f232(f906(x144084,a894)))))), % 169.47/169.19 inference(rename_variables,[],[4026])). % 169.47/169.19 cnf(14414,plain, % 169.47/169.19 (P1(f317(f317(f319(x144141),f317(x144142,x144143)),f317(f300(x144144,x144141,x144142),f232(f906(x144144,a894)))))), % 169.47/169.19 inference(rename_variables,[],[4026])). % 169.47/169.19 cnf(14420,plain, % 169.47/169.19 (~E(f317(f317(f228(a897),f317(a102,x144201)),x144201),f317(a102,x144201))), % 169.47/169.19 inference(rename_variables,[],[11759])). % 169.47/169.19 cnf(14446,plain, % 169.47/169.19 (~E(f317(f317(f141(x144461),x144462),x144463),x144463)), % 169.47/169.19 inference(rename_variables,[],[4588])). % 169.47/169.19 cnf(14449,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(x144491,x144491)),x144492),f253(x144491,f178(f906(x144491,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11153])). % 169.47/169.19 cnf(14452,plain, % 169.47/169.19 (P1(f317(f317(f224(a897),x144521),f317(f317(f74(a897),x144521),x144522)))), % 169.47/169.19 inference(rename_variables,[],[3691])). % 169.47/169.19 cnf(14455,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(x144551,x144551)),x144552),f253(x144551,f178(f906(x144551,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11153])). % 169.47/169.19 cnf(14460,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(x144601,x144601)),x144602),f253(x144601,f178(f906(x144601,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11153])). % 169.47/169.19 cnf(14473,plain, % 169.47/169.19 (~P1(f317(f317(f319(a897),x144731),f317(f272(a897),f2(a897))))), % 169.47/169.19 inference(rename_variables,[],[12017])). % 169.47/169.19 cnf(14478,plain, % 169.47/169.19 (~P36(x144781,x144782,x144783,f317(f317(f144(x144784,x144781),x144785),f317(a102,f103(x144784))),f103(x144782))), % 169.47/169.19 inference(rename_variables,[],[11429])). % 169.47/169.19 cnf(14481,plain, % 169.47/169.19 (~P1(f317(f317(f225(a897),f317(f317(f74(a897),x144811),x144812)),x144811))), % 169.47/169.19 inference(rename_variables,[],[4632])). % 169.47/169.19 cnf(14497,plain, % 169.47/169.19 (~P36(x144971,x144972,x144973,f317(f317(f144(x144974,x144971),x144975),f317(a102,f103(x144974))),f103(x144972))), % 169.47/169.19 inference(rename_variables,[],[11429])). % 169.47/169.19 cnf(14519,plain, % 169.47/169.19 (~E(f317(f317(f141(x145191),x145192),x145193),x145193)), % 169.47/169.19 inference(rename_variables,[],[4588])). % 169.47/169.19 cnf(14534,plain, % 169.47/169.19 (~P1(f317(f317(f319(f905(x145341,x145341)),x145342),f253(x145341,f178(f906(x145341,a894)))))), % 169.47/169.19 inference(rename_variables,[],[11153])). % 169.47/169.19 cnf(14575,plain, % 169.47/169.19 (~E(f317(f317(f141(x145751),x145752),x145753),x145753)), % 169.47/169.19 inference(rename_variables,[],[4588])). % 169.47/169.19 cnf(14608,plain, % 169.47/169.19 ($false), % 169.47/169.19 inference(scs_inference,[],[3461,3864,3463,4162,4200,4008,3231,3436,14132,14271,4633,4600,3977,4609,4060,3507,4602,3524,3877,4636,14007,4026,13866,13922,14408,14414,4620,13703,13733,13759,13834,13965,14184,14307,14318,4116,13955,14142,14246,14294,4575,4588,13910,14054,14085,14202,14446,14519,14575,4591,13797,14037,4618,4586,3418,3511,4193,4069,3434,3435,13736,3882,3455,13997,14228,14274,3739,3872,13885,3723,13895,14112,14331,14395,3874,3583,14280,3692,13775,13876,13968,14231,14390,3691,13800,14315,14452,4296,3875,13990,3876,3395,13913,14218,14239,3366,13916,14027,14063,14094,3390,14261,4637,14115,4640,4608,13861,14121,4617,14012,4630,13890,13925,14169,4629,4634,14047,14277,4631,14378,4632,13871,14018,14481,3634,11759,14166,14420,10493,13882,10482,10547,12946,12081,12121,12720,11571,13525,13431,12482,12127,12987,13433,10800,13000,11292,12722,12753,11140,13445,11402,10969,13831,14370,12019,3793,12784,11096,11135,11468,11297,13762,13971,13985,14088,14091,14221,14321,14341,11810,13262,11137,10913,10728,3489,13879,3466,3380,11450,11202,13250,13253,10918,13561,11907,12425,12414,11437,10454,13002,13557,12015,12017,13700,13823,13858,14124,14139,14344,14473,12067,10926,11358,11153,13803,13849,14032,14103,14192,14398,14449,14455,14460,14534,11156,13752,13826,13839,11397,13962,11471,10908,13765,11013,12285,13559,11407,13579,11429,14478,14497,11171,11433,12585,10893,11150,3057,11822,9,5969,6284,8913,10093,5858,7546,8441,6160,6436,6474,5782,5313,10071,8331,8872,6377,9035,10114,5680,6897,7671,7690,7760,5816,7033,9364,5558,5423,8847,4822,6334,6014,6631,7451,8153,8730,9063,5852,7289,5330,6233,6422,7906,8743,7474,5633,6554,5369,9406,5823,5133,5756,7465,8050,8595,8081,5905,6869,7672,7902,9189,7875,5061,9941,5062,5663,6361,8935,5874,6475,8575,10070,6336,6198,6889,7113,8826,9664,5299,8501,5645,9701,5406,6276,8653,6601,9733,4942,8782,4816,5420,6235,7627,4969,5370,5631,6479,5400,5778,5534,5589,6058,6139,7965,6471,8402,9065,8963,5520,6142,8597,9590,7228,8585,8633,10065,6846,4821,5473,5841,5483,8565,5112,5271,6425,8529,9243,6006,10119,5190,5285,9751,5201,6240,8169,6396,9734,10306,5401,5651,7493,8171,8660,6011,5819,9722,5386,6691,8682,5319,5419,6580,6748,6847,7874,8974,7376,5414,5489,5382,4727,4728,5139,5774,5912,6199,9917,5298,7559,9591,9636,9894,8573,8,5493,8936,5063,5381,6366,6383,6388,9850,8771,5881,6024,6350,6369,6524,9549,6692,7199,7838,5379,10082,5825,6116,6926,8834,4778,5124,7582,8692,9452,8176,10308,6239,6927,8459,8728,2,10031,5140,9312,4694,5039,8187,4730,5485,5486,9749,7852,4772,8822,6470,7449,8509,8708,5918,6293,8680,9365,5257,5770,5771,5838,6062,6202,6348,6648,6423,5769,6071,6949,6012,8525,8634,5132,5880,6523,8652,9786,9981,6482,6207,9174,5305,6582,7620,8618,9422,6420,8266,8890,4776,9838,10075,6177,6555,8659,6237,6297,5432,5735,6208,9173,5690,5893,6386,7285,6849,5300,5763,6010,7010,7313,8114,10385,9172,6287,5535,8737,8544,7573,8809,8590,9876,4726,7916,6019,6995,10077,7077,5398,10084,6277,7556,9363,6204,9023,9620,10307,5831,8724,5996,6163,6645,6858,6898,9430,5191,5693,8889,5408,5418,5821,7008,9905,5676,6431,7904,8772,9453,5296,7316,4998,4771,5288,5439,5724,6633,6182,6892,10305,6814,6870,7497,5689,5815,6595,8681,10081,9658,5248,6894,8170,8754,8790,9214,5692,4780,6478,6594,4673,6353,9064,6914,5613,8726,4850,5561,5904,8873,4756]), % 169.47/169.19 ['proof']). % 169.47/169.19 % SZS output end Proof % 169.47/169.19 % Total time :153.910000s %------------------------------------------------------------------------------